COMPARE REAL VS SIM DATA
Will
2024-08-08
The current aim is to simulate an existing data set by fitting a Vector Auto regression Moving Average (VARMA) model, extracting the parameters, and then simulating a new data set using the extracted parameters.
After the data has been simulated, we will run i-ARIMAX and i-BORTUA on both the raw existing data set and the simulated data set to compare how accurately the relationships in the existing data set have been simulated.
First, we are going to load in an existing data set used in the paper “Characterizing the momentary association between loneliness, depression, and social interactions: Insights from an ecological momentary assessment study” (Kuczynski et al., 2024).
library(readxl)
# Path to the local file
local_file <- "C:/Users/WillLi/Downloads/ProjectPingEMA.xlsx"
# Read the data file using readxl
rawdata <- read_excel(local_file)
rawdata$pid <- match(rawdata$pid, unique(rawdata$pid))
# Create data frame with only variables that we need
rawdata <- rawdata[, c("pid", "pingTotal", "depressedmood_state", "loneliness_state_pmc", "socintsatisfaction_state_pmc", "responsiveness_state_pmc", "selfdisclosure_state_pmc", "otherdisclosure_state_pmc")]Now that we have loaded and cleaned up the existing data set we will start fitting the data to a VARMA model, extracting the parameters, and then simulating a new data set using the extracted parameters. All this will be done using the MTS package.
First we need to ensure NA values are present for missing values so that we can use the idionomics package to impute missing data.
library(dplyr)## Warning: package 'dplyr' was built under R version 4.3.3##
## Attaching package: 'dplyr'## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, union# Convert columns to numeric and ensure NA values are present where needed
cols_of_interest <- c("socintsatisfaction_state_pmc", "responsiveness_state_pmc", "selfdisclosure_state_pmc", "otherdisclosure_state_pmc")
rawdata <- rawdata %>%
mutate(across(all_of(cols_of_interest), ~ as.numeric(as.character(.))))## Warning: There were 4 warnings in `mutate()`.
## The first warning was:
## ℹ In argument: `across(all_of(cols_of_interest),
## ~as.numeric(as.character(.)))`.
## Caused by warning:
## ! NAs introduced by coercion
## ℹ Run `dplyr::last_dplyr_warnings()` to see the 3 remaining warnings.# Fill missing values using idionomics package
library(idionomics)
imputed <- imputatron_2000(data = rawdata, id_col = "pid", time_col = "pingTotal", cols_of_interest = c("depressedmood_state", "loneliness_state_pmc", "socintsatisfaction_state_pmc", "responsiveness_state_pmc", "selfdisclosure_state_pmc", "otherdisclosure_state_pmc"))## ~~ Beep Boop Beep Boop ~~
## Imputatron will try to impute your dataset
## ...
## Imputatron filtered your data
## Imputatron transformed data to wide format
## Imputatron extracted start and end indexes for each timeseries
## Imputatron dynamically created a list of variables + indexes
## ...
## ###### Imputatron completed data preprocessing ####
## Imputatron created longData3d object
## Imputatron performed copyMeans on your data
## ...
## ###### Imputatron completed data imputation ####
## Imputatron will start data extraction sequence...
## Imputatron extracted a list of dataframes from longData3d object
## Imputatron melted each dataframe back to long format
## Imputatron added names to the list of dataframes
## ...
## ###### Imputatron completed data extraction ####
## Imputatron will start tidy dataframe creation sequence...
## Imputatron created tidy dataframe with all of your variables
## ...
## Imputatron finished the imputation process.
## You can access the following elements:
## Imputed Dataframe: $imputed_df
## Long Data Object: $long_data_obj
## Long Data Object with imputed data: $imputed_data
## Your original data, but filtered: $filtered_data
## Filtered data in wide format: $wide_data
## The list with variable names and indexes to create the Long Data Object: $timeInData_list
## ...
## Imputatron turning off...
## ~~ Beep Boop Beep Boop ~~ Bye!imputed_rawdata <- imputed$imputed_df
str(imputed$imputed_df)## 'data.frame': 7140 obs. of 8 variables:
## $ pid : chr "1" "1" "1" "1" ...
## $ pingTotal : num 1 2 3 4 5 6 7 8 9 10 ...
## $ depressedmood_state : num 49.1 50.7 65.7 72.6 64.8 ...
## $ loneliness_state_pmc : num 23.3 -5.12 9.21 16.82 18.5 ...
## $ socintsatisfaction_state_pmc: num -16.46 -25.46 8.54 -64.46 6.54 ...
## $ responsiveness_state_pmc : num -14.474 -53.911 0.185 -29.907 22.9 ...
## $ selfdisclosure_state_pmc : num -12.91 -43.14 -33.15 -36.87 -9.62 ...
## $ otherdisclosure_state_pmc : num 2.355 -0.541 -7.093 -30.629 -18.596 ...# Remove self-disclosure and other-disclosure columns
imputed_rawdata <- imputed_rawdata[, -c(7,8)]
# Arrange by numerical order of pid
imputed_rawdata <- imputed_rawdata %>%
mutate(pid = as.numeric(pid)) %>%
arrange(pid, pingTotal)I had to remove the self-disclosure and other-disclosure variables because it causes an error when I try to fit a VARMA model and simulate data. I think it’s because the variables are too inter correlated resulting in matrix singularity during fitting process?
simulated_data_list <- lapply(rawdata_list, simulate_individual) Error in solve.default(xpx, xpy): System computationally singular: reciprocal condition number = 2.67632e-20 Additionally: Warning message: In log(det(sse)): NaNs produced
Simulating new data
Then we create a function that fits a VARMA model to each individual’s time series data, extracts the phi (AR), theta (MA), and sigma (Covariance of errors/residuals) matrices for each individual’s model, and then simulates new data with 150 time points using the extracted parameters.
# Split by individuals into a list
rawdata_list <- split(imputed_rawdata, imputed_rawdata$pid)
library(MTS)## Warning: package 'MTS' was built under R version 4.3.3# Function to fit VARMA model and simulate new data
simulate_individual <- function(rawdata_list) {
# Remove ID and time columns for fitting
individual_matrix <- as.matrix(rawdata_list[, -c(1, 2)])
# Fit VARMA model
fit <- VARMA(individual_matrix, p = 1, q = 1)
# Extract AR and MA coefficients
phi <- fit$Phi
theta <- fit$Theta
# Extract sigma matrix (covariance matrix of the residuals)
sigma <- fit$Sigma
# Simulate new data using extracted parameters
set.seed(12345)
sim_data <- VARMAsim(n = 150, arlags = c(1), malags = c(1),
phi = phi, theta = theta, sigma = sigma, skip = 200)
simulated_series <- sim_data$series
# Return both the fit object and the noisy simulated series
return(list(fit = fit, simulated_series = simulated_series))
}
# Loop through each individual's data and simulate new data
simulated_data_list <- lapply(rawdata_list, simulate_individual)## Number of parameters: 36
## initial estimates: 25.8345 -6.044 -2.7562 -5.5117 0.2572 0.1254 0.1879 -0.3065 0.1305 0.3823 -0.0055 0.0148 0.084 -0.4881 0.3217 -0.1177 0.1463 -0.59 -0.0587 0.1586 -0.0469 0.1791 0.1865 0.3385 -0.1547 0.4774 0.3329 -0.2046 -0.1182 0.6806 -1.0235 0.4969 0.1671 0.5305 -0.6791 0.3874
## Par. lower-bounds: 14.5276 -17.5904 -18.371 -23.1284 -0.0435 -0.2177 -0.1278 -0.6292 -0.1766 0.0319 -0.3278 -0.3148 -0.3313 -0.962 -0.1142 -0.5634 -0.3222 -1.1247 -0.5505 -0.3442 -0.6867 -0.6251 -0.6846 -0.3532 -0.808 -0.3437 -0.5567 -0.911 -1.0017 -0.4299 -2.2264 -0.4583 -0.8297 -0.7224 -2.0363 -0.6903
## Par. upper-bounds: 37.1413 5.5024 12.8586 12.105 0.5579 0.4685 0.5035 0.0162 0.4375 0.7327 0.3168 0.3443 0.4992 -0.0143 0.7576 0.3279 0.6148 -0.0554 0.433 0.6614 0.5929 0.9832 1.0575 1.0302 0.4986 1.2986 1.2224 0.5017 0.7653 1.7911 0.1795 1.4522 1.1639 1.7833 0.6781 1.4651
## Final Estimates: 25.82883 -6.052471 -2.755686 -5.51163 0.3359108 0.03820995 -0.004979449 -0.3473388 0.1571522 0.2816609 -0.3278286 -0.03327595 0.07832896 -0.369852 0.7220514 -0.0484884 0.1662879 -0.731867 0.06646201 0.1709377 -0.04843064 0.1990509 0.05248554 0.239957 -0.03184787 -0.01522379 0.5575758 -0.08023074 -0.2562148 0.5484669 -0.9735579 0.3543928 -0.06466076 0.4762496 -0.4965915 0.3046605## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 25.828830 15.320549 1.686 0.09182 .
## loneliness_state_pmc -6.052471 10.729874 -0.564 0.57270
## socintsatisfaction_state_pmc -2.755686 NaN NaN NaN
## responsiveness_state_pmc -5.511630 11.737259 -0.470 0.63865
## depressedmood_state 0.335911 0.385499 0.871 0.38355
## loneliness_state_pmc 0.038210 0.467405 0.082 0.93485
## socintsatisfaction_state_pmc -0.004979 NaN NaN NaN
## responsiveness_state_pmc -0.347339 0.422202 -0.823 0.41069
## depressedmood_state 0.157152 0.261562 0.601 0.54796
## loneliness_state_pmc 0.281661 0.500070 0.563 0.57327
## socintsatisfaction_state_pmc -0.327829 0.323642 -1.013 0.31109
## responsiveness_state_pmc -0.033276 0.459653 -0.072 0.94229
## depressedmood_state 0.078329 NaN NaN NaN
## loneliness_state_pmc -0.369852 0.338368 -1.093 0.27437
## socintsatisfaction_state_pmc 0.722051 0.240797 2.999 0.00271 **
## responsiveness_state_pmc -0.048488 0.377538 -0.128 0.89781
## depressedmood_state 0.166288 0.302944 0.549 0.58307
## loneliness_state_pmc -0.731867 0.594876 -1.230 0.21859
## socintsatisfaction_state_pmc 0.066462 0.511825 0.130 0.89668
## responsiveness_state_pmc 0.170938 0.449027 0.381 0.70344
## -0.048431 0.399144 -0.121 0.90342
## 0.199051 0.471183 0.422 0.67270
## 0.052486 NaN NaN NaN
## 0.239957 0.444429 0.540 0.58925
## -0.031848 0.183579 -0.173 0.86227
## -0.015224 0.546221 -0.028 0.97776
## 0.557576 0.304963 1.828 0.06750 .
## -0.080231 0.436539 -0.184 0.85418
## -0.256215 NaN NaN NaN
## 0.548467 0.305008 1.798 0.07214 .
## -0.973558 0.302392 -3.220 0.00128 **
## 0.354393 0.310533 1.141 0.25377
## -0.064661 0.239825 -0.270 0.78746
## 0.476250 0.557848 0.854 0.39326
## -0.496591 0.510500 -0.973 0.33068
## 0.304661 0.404864 0.753 0.45175
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 25.82883 -6.052471 -2.755686 -5.51163
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.3359 0.0382 -0.00498 -0.3473
## [2,] 0.1572 0.2817 -0.32783 -0.0333
## [3,] 0.0783 -0.3699 0.72205 -0.0485
## [4,] 0.1663 -0.7319 0.06646 0.1709
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0484 -0.1991 -0.0525 -0.2400
## [2,] 0.0318 0.0152 -0.5576 0.0802
## [3,] 0.2562 -0.5485 0.9736 -0.3544
## [4,] 0.0647 -0.4762 0.4966 -0.3047
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 156.67092 64.13723 -44.28528 -48.47625
## [2,] 64.13723 113.64283 -20.83032 -38.95494
## [3,] -44.28528 -20.83032 294.00204 233.50171
## [4,] -48.47625 -38.95494 233.50171 319.55323
## ----
## aic= 21.0574
## bic= 22.21377
## Number of parameters: 36
## initial estimates: 27.2266 4.4182 3.0397 1.7261 0.0911 -0.1511 0.0866 -0.0665 -0.1439 -0.0825 -0.0576 0.0122 -0.1449 -0.0213 0.5598 -0.1658 -0.0683 0.1419 0.017 0.5877 -0.3272 -0.0374 -0.1589 0.458 -0.1708 -0.3386 0.0771 -0.3798 -1.3335 -1.494 0.1887 -0.5876 0.2913 -0.2783 0.0536 -0.3576
## Par. lower-bounds: 18.609 -2.9739 -12.6739 -5.3495 -0.1892 -0.4823 -0.0563 -0.3862 -0.3844 -0.3667 -0.1802 -0.262 -0.6561 -0.6253 0.2991 -0.7487 -0.2985 -0.1301 -0.1004 0.3252 -1.1318 -0.9517 -0.5048 -0.2892 -0.8611 -1.1229 -0.2196 -1.0208 -2.8007 -3.1612 -0.442 -1.9501 -0.3694 -1.029 -0.2303 -0.9711
## Par. upper-bounds: 35.8443 11.8103 18.7532 8.8016 0.3715 0.1802 0.2296 0.2532 0.0965 0.2016 0.065 0.2864 0.3663 0.5828 0.8204 0.4171 0.1619 0.4139 0.1344 0.8502 0.4775 0.8769 0.1869 1.2053 0.5194 0.4457 0.3738 0.2611 0.1337 0.1732 0.8193 0.775 0.952 0.4724 0.3376 0.2559
## Final Estimates: 27.23923 4.336323 2.991998 1.696077 0.1442357 -0.2844391 0.06715954 -0.2302647 -0.1402319 0.1478861 -0.02426495 0.1108506 -0.1290431 0.5810749 0.4517294 0.03186358 -0.04881582 0.4039485 0.07421009 0.4682769 -0.001307019 0.1146372 0.1264177 0.5186003 0.1557804 -0.6265901 -0.05512655 -0.3956802 0.04025112 -1.006271 -0.05086123 -0.317046 0.1307605 -0.6468007 -0.06656416 -0.03397326
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 27.239230 9.769688 2.788 0.005301 **
## loneliness_state_pmc 4.336323 7.240434 0.599 0.549237
## socintsatisfaction_state_pmc 2.991998 19.095910 0.157 0.875495
## responsiveness_state_pmc 1.696077 13.268320 0.128 0.898284
## depressedmood_state 0.144236 0.300448 0.480 0.631179
## loneliness_state_pmc -0.284439 0.596451 -0.477 0.633443
## socintsatisfaction_state_pmc 0.067160 0.214406 0.313 0.754102
## responsiveness_state_pmc -0.230265 0.342029 -0.673 0.500800
## depressedmood_state -0.140232 0.253314 -0.554 0.579859
## loneliness_state_pmc 0.147886 0.150170 0.985 0.324727
## socintsatisfaction_state_pmc -0.024265 0.075030 -0.323 0.746389
## responsiveness_state_pmc 0.110851 0.169087 0.656 0.512092
## depressedmood_state -0.129043 0.671585 -0.192 0.847627
## loneliness_state_pmc 0.581075 0.609485 0.953 0.340394
## socintsatisfaction_state_pmc 0.451729 0.247133 1.828 0.067568 .
## responsiveness_state_pmc 0.031864 0.695165 0.046 0.963441
## depressedmood_state -0.048816 0.452543 -0.108 0.914099
## loneliness_state_pmc 0.403948 0.243640 1.658 0.097323 .
## socintsatisfaction_state_pmc 0.074210 0.161667 0.459 0.646211
## responsiveness_state_pmc 0.468277 0.225222 2.079 0.037601 *
## -0.001307 0.298920 -0.004 0.996511
## 0.114637 0.606734 0.189 0.850139
## 0.126418 0.238161 0.531 0.595553
## 0.518600 0.423189 1.225 0.220403
## 0.155780 0.232795 0.669 0.503385
## -0.626590 0.166879 -3.755 0.000174 ***
## -0.055127 0.112812 -0.489 0.625085
## -0.395680 0.215648 -1.835 0.066528 .
## 0.040251 0.615171 0.065 0.947831
## -1.006271 0.680052 -1.480 0.138954
## -0.050861 0.251186 -0.202 0.839538
## -0.317046 0.989026 -0.321 0.748541
## 0.130760 0.444526 0.294 0.768638
## -0.646801 0.250989 -2.577 0.009966 **
## -0.066564 0.195729 -0.340 0.733794
## -0.033973 0.280266 -0.121 0.903518
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 27.23923 4.336323 2.991998 1.696077
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1442 -0.284 0.0672 -0.2303
## [2,] -0.1402 0.148 -0.0243 0.1109
## [3,] -0.1290 0.581 0.4517 0.0319
## [4,] -0.0488 0.404 0.0742 0.4683
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.00131 -0.115 -0.1264 -0.519
## [2,] -0.15578 0.627 0.0551 0.396
## [3,] -0.04025 1.006 0.0509 0.317
## [4,] -0.13076 0.647 0.0666 0.034
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 55.630463 9.420559 8.510647 3.309775
## [2,] 9.420559 32.106607 -11.763710 -4.810856
## [3,] 8.510647 -11.763710 157.870197 18.597145
## [4,] 3.309775 -4.810856 18.597145 25.001061
## ----
## aic= 16.58229
## bic= 17.73865
## Number of parameters: 36
## initial estimates: 13.3279 -3.3706 -1.6928 3.6399 0.4969 -0.0172 -0.0871 0.1279 0.158 0.1047 0.0872 -0.0282 0.077 -0.0214 0.3459 0.0205 -0.1017 0.3055 0.2617 0.0842 0.1611 -1.1002 0.3485 -0.8279 0.8064 -1.4425 -0.0867 -0.0689 -0.4729 1.1486 -1.0686 1.1023 -0.8624 0.7482 -0.3265 0.1541
## Par. lower-bounds: 3.0634 -10.8612 -11.9444 -4.611 0.1214 -0.5445 -0.4321 -0.3226 -0.1161 -0.2801 -0.1646 -0.357 -0.2981 -0.548 0.0013 -0.4295 -0.4036 -0.1183 -0.0157 -0.278 -0.7377 -2.358 -0.5347 -1.9419 0.1505 -2.3604 -0.7312 -0.8818 -1.3706 -0.1076 -1.9506 -0.0102 -1.5848 -0.2628 -1.0364 -0.7413
## Par. upper-bounds: 23.5925 4.1201 8.5589 11.8907 0.8725 0.5101 0.258 0.5785 0.432 0.4895 0.339 0.3007 0.452 0.5053 0.6904 0.4705 0.2002 0.7294 0.539 0.4463 1.0599 0.1575 1.2317 0.286 1.4623 -0.5246 0.5578 0.744 0.4247 2.4048 -0.1865 2.2149 -0.1399 1.7592 0.3834 1.0495
## Final Estimates: 13.42606 -3.409897 -1.664789 3.611162 0.3867297 0.255775 0.2029655 0.4226802 0.1233114 0.3257916 -0.1353972 0.2754257 0.1450385 -0.54767 0.6904414 -0.4217736 -0.03327749 0.01711918 0.101446 -0.104664 0.1839033 -0.626066 -0.1714078 -0.5045611 0.2570445 -0.5865905 0.2350613 -0.1911315 -0.2206524 0.9136381 -0.8130445 0.6267934 -0.2940609 0.576014 -0.02985883 0.2978408## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 13.42606 11.42936 1.175 0.240115
## loneliness_state_pmc -3.40990 5.14658 -0.663 0.507615
## socintsatisfaction_state_pmc -1.66479 5.78722 -0.288 0.773602
## responsiveness_state_pmc 3.61116 7.01773 0.515 0.606849
## depressedmood_state 0.38673 0.50717 0.763 0.445745
## loneliness_state_pmc 0.25577 0.98115 0.261 0.794333
## socintsatisfaction_state_pmc 0.20297 0.34706 0.585 0.558668
## responsiveness_state_pmc 0.42268 0.24340 1.737 0.082470 .
## depressedmood_state 0.12331 0.20544 0.600 0.548350
## loneliness_state_pmc 0.32579 NaN NaN NaN
## socintsatisfaction_state_pmc -0.13540 0.20860 -0.649 0.516288
## responsiveness_state_pmc 0.27543 0.17182 1.603 0.108930
## depressedmood_state 0.14504 0.22392 0.648 0.517159
## loneliness_state_pmc -0.54767 0.34095 -1.606 0.108207
## socintsatisfaction_state_pmc 0.69044 0.24403 2.829 0.004665 **
## responsiveness_state_pmc -0.42177 0.27342 -1.543 0.122928
## depressedmood_state -0.03328 0.29109 -0.114 0.908983
## loneliness_state_pmc 0.01712 0.41290 0.041 0.966929
## socintsatisfaction_state_pmc 0.10145 0.19155 0.530 0.596386
## responsiveness_state_pmc -0.10466 0.23173 -0.452 0.651513
## 0.18390 0.56093 0.328 0.743022
## -0.62607 0.99539 -0.629 0.529370
## -0.17141 0.36337 -0.472 0.637128
## -0.50456 0.26450 -1.908 0.056445 .
## 0.25704 0.25702 1.000 0.317264
## -0.58659 0.16942 -3.462 0.000536 ***
## 0.23506 0.25642 0.917 0.359290
## -0.19113 0.10198 -1.874 0.060908 .
## -0.22065 0.20558 -1.073 0.283126
## 0.91364 0.28905 3.161 0.001573 **
## -0.81304 0.27885 -2.916 0.003548 **
## 0.62679 0.34150 1.835 0.066446 .
## -0.29406 0.33695 -0.873 0.382818
## 0.57601 0.41857 1.376 0.168779
## -0.02986 0.18725 -0.159 0.873308
## 0.29784 0.34557 0.862 0.388755
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 13.42606 -3.409897 -1.664789 3.611162
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.3867 0.2558 0.203 0.423
## [2,] 0.1233 0.3258 -0.135 0.275
## [3,] 0.1450 -0.5477 0.690 -0.422
## [4,] -0.0333 0.0171 0.101 -0.105
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.184 0.626 0.1714 0.505
## [2,] -0.257 0.587 -0.2351 0.191
## [3,] 0.221 -0.914 0.8130 -0.627
## [4,] 0.294 -0.576 0.0299 -0.298
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 212.11354 108.17462 -106.92403 -82.08277
## [2,] 108.17462 127.44258 -73.94827 -61.71013
## [3,] -106.92403 -73.94827 217.06316 104.95809
## [4,] -82.08277 -61.71013 104.95809 140.62603
## ----
## aic= 20.13429
## bic= 21.29066
## Number of parameters: 36
## initial estimates: 5.5047 -6.366 -3.8395 -0.9145 0.4525 0.1601 -0.0458 -0.0069 0.3809 0.0666 0.2664 -0.4643 0.3064 -0.19 0.4351 0.2651 0.0221 0.0164 0.0146 0.6826 -0.0133 0.238 0.111 0.6001 -0.4371 0.1756 -0.2066 0.6527 0.485 -0.4265 -1.0379 1.6628 0.6652 -0.4155 -0.1315 0.2709
## Par. lower-bounds: 0.9208 -12.8451 -10.1172 -5.1672 0.1594 -0.1307 -0.3068 -0.3626 -0.0334 -0.3445 -0.1025 -0.967 -0.0951 -0.5882 0.0776 -0.222 -0.2499 -0.2534 -0.2275 0.3527 -0.6818 -0.2425 -0.3515 -0.1735 -1.3819 -0.5035 -0.8603 -0.4407 -0.4306 -1.0845 -1.6713 0.6034 0.045 -0.8612 -0.5606 -0.4467
## Par. upper-bounds: 10.0886 0.1131 2.4383 3.3381 0.7457 0.4509 0.2152 0.3488 0.7953 0.4777 0.6353 0.0385 0.7079 0.2083 0.7925 0.7522 0.294 0.2862 0.2567 1.0126 0.6552 0.7185 0.5735 1.3736 0.5078 0.8548 0.4471 1.7461 1.4005 0.2316 -0.4045 2.7222 1.2854 0.0303 0.2975 0.9885
## Final Estimates: 5.536076 -6.355912 -3.743069 -0.9735475 0.4708634 -0.02236434 0.1686034 -0.1121193 0.6581449 -0.04744442 0.277382 -0.2554249 0.3650648 0.1315258 0.6622823 -0.1904752 0.08299427 0.06749149 -0.08299725 0.5767133 0.01385131 0.2858473 -0.2650214 0.1487002 -0.6888815 0.4444189 -0.2835511 0.03031244 -0.3312489 -0.2237084 -0.7145117 1.274228 0.103962 -0.1824013 0.2975391 0.08638154## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 5.53608 6.14133 0.901 0.367351
## loneliness_state_pmc -6.35591 11.00426 -0.578 0.563543
## socintsatisfaction_state_pmc -3.74307 1.10504 -3.387 0.000706 ***
## responsiveness_state_pmc -0.97355 2.49948 -0.389 0.696906
## depressedmood_state 0.47086 0.62735 0.751 0.452915
## loneliness_state_pmc -0.02236 0.75732 -0.030 0.976441
## socintsatisfaction_state_pmc 0.16860 0.38771 0.435 0.663659
## responsiveness_state_pmc -0.11212 0.63552 -0.176 0.859963
## depressedmood_state 0.65814 1.11494 0.590 0.554991
## loneliness_state_pmc -0.04744 1.42632 -0.033 0.973464
## socintsatisfaction_state_pmc 0.27738 0.63723 0.435 0.663349
## responsiveness_state_pmc -0.25542 0.91085 -0.280 0.779151
## depressedmood_state 0.36506 0.01677 21.774 < 2e-16 ***
## loneliness_state_pmc 0.13153 0.20114 0.654 0.513175
## socintsatisfaction_state_pmc 0.66228 0.11380 5.820 5.89e-09 ***
## responsiveness_state_pmc -0.19048 0.16355 -1.165 0.244172
## depressedmood_state 0.08299 0.19040 0.436 0.662921
## loneliness_state_pmc 0.06749 0.31877 0.212 0.832323
## socintsatisfaction_state_pmc -0.08300 0.10967 -0.757 0.449159
## responsiveness_state_pmc 0.57671 0.06817 8.459 < 2e-16 ***
## 0.01385 0.66542 0.021 0.983393
## 0.28585 0.82329 0.347 0.728439
## -0.26502 0.47513 -0.558 0.576990
## 0.14870 0.77485 0.192 0.847814
## -0.68888 1.34688 -0.511 0.609027
## 0.44442 1.61085 0.276 0.782632
## -0.28355 1.01336 -0.280 0.779622
## 0.03031 1.19304 0.025 0.979730
## -0.33125 0.17036 -1.944 0.051849 .
## -0.22371 0.34871 -0.642 0.521179
## -0.71451 0.19400 -3.683 0.000230 ***
## 1.27423 NaN NaN NaN
## 0.10396 0.25835 0.402 0.687384
## -0.18240 0.46792 -0.390 0.696674
## 0.29754 0.24505 1.214 0.224665
## 0.08638 0.22891 0.377 0.705908
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 5.536076 -6.355912 -3.743069 -0.9735475
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.471 -0.0224 0.169 -0.112
## [2,] 0.658 -0.0474 0.277 -0.255
## [3,] 0.365 0.1315 0.662 -0.190
## [4,] 0.083 0.0675 -0.083 0.577
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.0139 -0.286 0.265 -0.1487
## [2,] 0.6889 -0.444 0.284 -0.0303
## [3,] 0.3312 0.224 0.715 -1.2742
## [4,] -0.1040 0.182 -0.298 -0.0864
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 138.287869 106.885034 -5.891397 -7.814896
## [2,] 106.885034 256.138925 23.604791 -8.384796
## [3,] -5.891397 23.604791 230.234827 99.846243
## [4,] -7.814896 -8.384796 99.846243 109.442716
## ----
## aic= 20.70195
## bic= 21.85832
## Number of parameters: 36
## initial estimates: 17.9117 5.2939 -0.8713 -0.6114 0.1385 0.1222 -0.1477 -0.5098 -0.1952 0.5094 0.01 -1.0653 0.0272 -0.1635 0.4529 0.6323 0.0803 -0.0834 -0.012 0.686 -0.2683 -0.1548 -0.7814 0.6317 0.6262 -0.6455 -0.3696 0.9049 -0.2122 0.0607 0.3951 -1.1528 -0.0025 0.0598 0.275 -0.4826
## Par. lower-bounds: 8.7586 -7.1468 -7.4412 -3.1067 -0.2828 -0.1567 -0.5255 -1.36 -0.7678 0.1304 -0.5035 -2.2208 -0.2753 -0.3636 0.1818 0.0221 -0.0345 -0.1594 -0.115 0.4542 -1.1277 -0.813 -1.8134 -1.7441 -0.5419 -1.54 -1.7723 -2.3242 -0.8291 -0.4117 -0.3458 -2.8581 -0.2368 -0.1196 -0.0063 -1.1302
## Par. upper-bounds: 27.0647 17.7345 5.6987 1.8838 0.5598 0.4011 0.23 0.3403 0.3775 0.8885 0.5234 0.0901 0.3296 0.0367 0.7241 1.2425 0.1952 -0.0073 0.091 0.9177 0.5911 0.5033 0.2507 3.0074 1.7944 0.249 1.0332 4.1339 0.4047 0.5331 1.1359 0.5525 0.2318 0.2392 0.5564 0.1651
## Final Estimates: 17.79328 5.129969 -1.003206 -0.7700483 0.1036492 -0.1559732 -0.4486161 -0.6076864 -0.2286662 0.850799 0.2361531 -0.9995191 0.01658298 -0.3522151 0.1861834 1.06651 0.06168223 -0.06842801 -0.1108673 0.9163527 -0.1056858 0.362293 0.2502022 0.6979915 0.4832304 -0.706685 -0.2018554 0.1835193 -0.1869878 0.2632424 0.322445 -1.18252 0.09315074 -0.04229411 0.3250415 -0.7589605## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 17.79328 NaN NaN NaN
## loneliness_state_pmc 5.12997 5.54219 0.926 0.35464
## socintsatisfaction_state_pmc -1.00321 NaN NaN NaN
## responsiveness_state_pmc -0.77005 2.67109 -0.288 0.77313
## depressedmood_state 0.10365 NaN NaN NaN
## loneliness_state_pmc -0.15597 0.23927 -0.652 0.51448
## socintsatisfaction_state_pmc -0.44862 NaN NaN NaN
## responsiveness_state_pmc -0.60769 0.41545 -1.463 0.14355
## depressedmood_state -0.22867 0.29488 -0.775 0.43807
## loneliness_state_pmc 0.85080 0.14488 5.872 4.29e-09 ***
## socintsatisfaction_state_pmc 0.23615 NaN NaN NaN
## responsiveness_state_pmc -0.99952 0.38687 -2.584 0.00978 **
## depressedmood_state 0.01658 NaN NaN NaN
## loneliness_state_pmc -0.35222 0.15434 -2.282 0.02249 *
## socintsatisfaction_state_pmc 0.18618 NaN NaN NaN
## responsiveness_state_pmc 1.06651 0.06652 16.033 < 2e-16 ***
## depressedmood_state 0.06168 0.13150 0.469 0.63902
## loneliness_state_pmc -0.06843 0.04825 -1.418 0.15611
## socintsatisfaction_state_pmc -0.11087 0.10889 -1.018 0.30858
## responsiveness_state_pmc 0.91635 NaN NaN NaN
## -0.10569 NaN NaN NaN
## 0.36229 0.19958 1.815 0.06949 .
## 0.25020 NaN NaN NaN
## 0.69799 0.54930 1.271 0.20384
## 0.48323 0.36074 1.340 0.18039
## -0.70668 NaN NaN NaN
## -0.20186 NaN NaN NaN
## 0.18352 0.34064 0.539 0.59006
## -0.18699 NaN NaN NaN
## 0.26324 0.10866 2.423 0.01541 *
## 0.32245 NaN NaN NaN
## -1.18252 NaN NaN NaN
## 0.09315 0.11703 0.796 0.42606
## -0.04229 NaN NaN NaN
## 0.32504 0.14685 2.213 0.02687 *
## -0.75896 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 17.79328 5.129969 -1.003206 -0.7700483
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1036 -0.1560 -0.449 -0.608
## [2,] -0.2287 0.8508 0.236 -1.000
## [3,] 0.0166 -0.3522 0.186 1.067
## [4,] 0.0617 -0.0684 -0.111 0.916
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1057 -0.3623 -0.250 -0.698
## [2,] -0.4832 0.7067 0.202 -0.184
## [3,] 0.1870 -0.2632 -0.322 1.183
## [4,] -0.0932 0.0423 -0.325 0.759
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 173.705822 184.12726 -60.31480 -1.927408
## [2,] 184.127263 326.34484 -66.79531 -11.083415
## [3,] -60.314795 -66.79531 67.19492 10.284061
## [4,] -1.927408 -11.08342 10.28406 17.600705
## ----
## aic= 17.60565
## bic= 18.76202
## Number of parameters: 36
## initial estimates: 22.3003 0.3576 5.319 5.4066 0.3065 -0.2328 -0.0349 -0.1604 0.0736 -0.0182 0.1765 -0.4512 -0.2684 0.3446 0.6438 -0.0748 -0.2641 0.2064 -0.0521 0.4854 -0.0316 0.9249 0.4894 -0.3948 0.0679 0.5874 0.2892 -0.1529 0.2405 -1.0194 -0.6558 0.4543 0.0159 -0.6381 -0.0374 -0.1723
## Par. lower-bounds: 11.7349 -8.4401 -5.0648 -3.7314 -0.0291 -0.6236 -0.4127 -0.6368 -0.2059 -0.3437 -0.1381 -0.8478 -0.5982 -0.0395 0.2725 -0.543 -0.5544 -0.1316 -0.3789 0.0734 -0.7601 -0.2328 -0.2481 -1.5095 -0.5387 -0.3766 -0.3248 -1.0811 -0.4755 -2.1572 -1.3805 -0.6413 -0.6141 -1.6394 -0.6752 -1.1364
## Par. upper-bounds: 32.8657 9.1553 15.7028 14.5446 0.6421 0.1581 0.3429 0.3159 0.3531 0.3072 0.4911 -0.0545 0.0615 0.7287 1.0151 0.3933 0.0261 0.5444 0.2747 0.8974 0.6968 2.0827 1.2268 0.7199 0.6744 1.5515 0.9032 0.7753 0.9564 0.1184 0.069 1.5498 0.646 0.3632 0.6003 0.7918
## Final Estimates: 25.1304 6.386764 6.615097 3.172541 0.1611217 -0.004889173 0.07617474 -0.6367626 -0.2058582 0.2259781 0.2425714 -0.8477956 -0.2473135 0.7286809 0.6798601 0.2519577 -0.1130467 0.5444458 0.1917951 0.4111242 0.2067045 -0.08443954 0.06887692 0.5291166 0.3100959 -0.0698386 -0.0697627 0.5454302 -0.1008644 -0.7314126 -0.4379423 -0.2354841 -0.1744142 -0.736268 -0.3034772 -0.104366## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 25.130405 NaN NaN NaN
## loneliness_state_pmc 6.386764 NaN NaN NaN
## socintsatisfaction_state_pmc 6.615097 NaN NaN NaN
## responsiveness_state_pmc 3.172541 8.165120 0.389 0.698
## depressedmood_state 0.161122 NaN NaN NaN
## loneliness_state_pmc -0.004889 NaN NaN NaN
## socintsatisfaction_state_pmc 0.076175 NaN NaN NaN
## responsiveness_state_pmc -0.636763 NaN NaN NaN
## depressedmood_state -0.205858 0.036933 -5.574 2.49e-08 ***
## loneliness_state_pmc 0.225978 0.271182 0.833 0.405
## socintsatisfaction_state_pmc 0.242571 NaN NaN NaN
## responsiveness_state_pmc -0.847796 NaN NaN NaN
## depressedmood_state -0.247313 NaN NaN NaN
## loneliness_state_pmc 0.728681 0.524299 1.390 0.165
## socintsatisfaction_state_pmc 0.679860 NaN NaN NaN
## responsiveness_state_pmc 0.251958 NaN NaN NaN
## depressedmood_state -0.113047 0.254266 -0.445 0.657
## loneliness_state_pmc 0.544446 NaN NaN NaN
## socintsatisfaction_state_pmc 0.191795 NaN NaN NaN
## responsiveness_state_pmc 0.411124 NaN NaN NaN
## 0.206704 NaN NaN NaN
## -0.084440 0.193898 -0.435 0.663
## 0.068877 NaN NaN NaN
## 0.529117 NaN NaN NaN
## 0.310096 NaN NaN NaN
## -0.069839 0.269104 -0.260 0.795
## -0.069763 NaN NaN NaN
## 0.545430 NaN NaN NaN
## -0.100864 NaN NaN NaN
## -0.731413 0.511979 -1.429 0.153
## -0.437942 NaN NaN NaN
## -0.235484 NaN NaN NaN
## -0.174414 0.191972 -0.909 0.364
## -0.736268 NaN NaN NaN
## -0.303477 NaN NaN NaN
## -0.104366 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 25.1304 6.386764 6.615097 3.172541
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.161 -0.00489 0.0762 -0.637
## [2,] -0.206 0.22598 0.2426 -0.848
## [3,] -0.247 0.72868 0.6799 0.252
## [4,] -0.113 0.54445 0.1918 0.411
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.207 0.0844 -0.0689 -0.529
## [2,] -0.310 0.0698 0.0698 -0.545
## [3,] 0.101 0.7314 0.4379 0.235
## [4,] 0.174 0.7363 0.3035 0.104
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 302.9793 123.6563 -134.3262 -121.6444
## [2,] 123.6563 221.3830 -116.9515 -117.8497
## [3,] -134.3262 -116.9515 319.3594 172.6657
## [4,] -121.6444 -117.8497 172.6657 212.1203
## ----
## aic= 21.94613
## bic= 23.1025
## Number of parameters: 36
## initial estimates: 16.5274 -0.0975 -0.4133 -2.8472 0.0468 0.0221 -0.1219 0.0332 0.0303 0.1059 -0.0127 0.0313 0.0721 -0.1531 0.2516 0.1464 0.1823 0.3484 0.039 0.543 0.429 -0.1743 0.2518 0.4113 0.2751 -0.0967 -0.108 -0.1781 0.6387 0.0397 -0.1032 -0.324 -3e-04 -0.8987 -0.2303 0.0494
## Par. lower-bounds: 11.5308 -6.1529 -8.3997 -11.3176 -0.2357 -0.2727 -0.2993 -0.1022 -0.3121 -0.2514 -0.2277 -0.1329 -0.3794 -0.6243 -0.0319 -0.0701 -0.2966 -0.1513 -0.2616 0.3134 -0.2064 -0.6512 -0.1749 0.0204 -0.495 -0.6747 -0.6251 -0.6517 -0.3769 -0.7226 -0.7852 -0.9487 -1.0774 -1.7072 -0.9537 -0.6132
## Par. upper-bounds: 21.5241 5.9578 7.5732 5.6232 0.3293 0.3169 0.0554 0.1686 0.3726 0.4631 0.2022 0.1954 0.5237 0.3181 0.5351 0.3628 0.6612 0.8482 0.3397 0.7725 1.0644 0.3027 0.6785 0.8021 1.0451 0.4813 0.4091 0.2956 1.6544 0.802 0.5788 0.3007 1.0769 -0.0901 0.493 0.712
## Final Estimates: 12.30086 -6.152889 -7.130547 -11.0833 0.2877215 -0.2726964 -0.009535779 -0.0560553 0.3580378 -0.2514395 0.2021826 0.000164309 0.4489037 -0.6243192 -0.03189896 0.1544729 0.6611814 0.8482347 0.1981941 0.4882599 -0.03629263 0.2060714 -0.1748746 0.292098 -0.3021283 0.4167099 -0.4283991 0.09402231 -0.376892 0.7428237 0.4497197 -0.01717057 -0.7618349 -1.14074 -0.1395896 0.1064743## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 1.230e+01 NaN NaN NaN
## loneliness_state_pmc -6.153e+00 NaN NaN NaN
## socintsatisfaction_state_pmc -7.131e+00 NaN NaN NaN
## responsiveness_state_pmc -1.108e+01 NaN NaN NaN
## depressedmood_state 2.877e-01 NaN NaN NaN
## loneliness_state_pmc -2.727e-01 NaN NaN NaN
## socintsatisfaction_state_pmc -9.536e-03 NaN NaN NaN
## responsiveness_state_pmc -5.606e-02 6.848e-02 -0.819 0.413057
## depressedmood_state 3.580e-01 NaN NaN NaN
## loneliness_state_pmc -2.514e-01 2.011e-01 -1.250 0.211244
## socintsatisfaction_state_pmc 2.022e-01 NaN NaN NaN
## responsiveness_state_pmc 1.643e-04 NaN NaN NaN
## depressedmood_state 4.489e-01 NaN NaN NaN
## loneliness_state_pmc -6.243e-01 NaN NaN NaN
## socintsatisfaction_state_pmc -3.190e-02 NaN NaN NaN
## responsiveness_state_pmc 1.545e-01 1.481e-01 1.043 0.297069
## depressedmood_state 6.612e-01 NaN NaN NaN
## loneliness_state_pmc 8.482e-01 NaN NaN NaN
## socintsatisfaction_state_pmc 1.982e-01 NaN NaN NaN
## responsiveness_state_pmc 4.883e-01 1.479e-01 3.302 0.000961 ***
## -3.629e-02 NaN NaN NaN
## 2.061e-01 NaN NaN NaN
## -1.749e-01 NaN NaN NaN
## 2.921e-01 6.561e-02 4.452 8.51e-06 ***
## -3.021e-01 NaN NaN NaN
## 4.167e-01 1.248e-01 3.338 0.000845 ***
## -4.284e-01 6.460e-02 -6.632 3.32e-11 ***
## 9.402e-02 NaN NaN NaN
## -3.769e-01 NaN NaN NaN
## 7.428e-01 NaN NaN NaN
## 4.497e-01 NaN NaN NaN
## -1.717e-02 NaN NaN NaN
## -7.618e-01 NaN NaN NaN
## -1.141e+00 NaN NaN NaN
## -1.396e-01 NaN NaN NaN
## 1.065e-01 1.610e-01 0.661 0.508458
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 12.30086 -6.152889 -7.130547 -11.0833
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.288 -0.273 -0.00954 -0.056055
## [2,] 0.358 -0.251 0.20218 0.000164
## [3,] 0.449 -0.624 -0.03190 0.154473
## [4,] 0.661 0.848 0.19819 0.488260
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0363 -0.206 0.175 -0.2921
## [2,] 0.3021 -0.417 0.428 -0.0940
## [3,] 0.3769 -0.743 -0.450 0.0172
## [4,] 0.7618 1.141 0.140 -0.1065
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 33.486728 4.29451419 7.33289223 -8.599458
## [2,] 4.294514 35.92623149 0.07244054 5.311559
## [3,] 7.332892 0.07244054 63.49269049 8.588652
## [4,] -8.599458 5.31155931 8.58865201 45.270845
## ----
## aic= 15.92141
## bic= 17.07778
## Number of parameters: 36
## initial estimates: 12.9409 -1.5665 6.258 8.4416 0.3837 -0.1444 -0.0277 -0.1363 0.0733 0.3785 0.0412 -0.1337 -0.371 0.2054 0.3498 -0.1339 -0.3855 0.2054 0.156 0.2607 -0.3655 0.0539 -0.1794 0.2469 -0.1256 -0.5921 -0.7073 0.4259 0.0147 0.3544 0.3642 0.1978 1.2918 -0.789 -0.2692 0.4321
## Par. lower-bounds: 5.0297 -9.6328 -4.9977 -0.1673 0.0357 -0.5046 -0.3125 -0.4502 -0.2814 0.0111 -0.2493 -0.4538 -0.8661 -0.3072 -0.0556 -0.5805 -0.7642 -0.1866 -0.154 -0.0809 -1.2606 -0.7231 -0.8797 -0.609 -1.0383 -1.3842 -1.4214 -0.4468 -1.2588 -0.751 -0.6323 -1.0199 0.3177 -1.6344 -1.0313 -0.4994
## Par. upper-bounds: 20.852 6.4999 17.5136 17.0506 0.7316 0.2159 0.2572 0.1776 0.4281 0.7458 0.3317 0.1863 0.124 0.7179 0.7551 0.3127 -0.0069 0.5975 0.466 0.6023 0.5296 0.8308 0.521 1.1028 0.7871 0.2001 0.0068 1.2986 1.2882 1.4598 1.3606 1.4156 2.2659 0.0565 0.493 1.3635
## Final Estimates: 13.04709 -1.663771 6.25613 8.411056 0.436612 -0.4230798 0.03903802 -0.3468857 0.1275042 0.6673138 0.2886393 0.02987866 -0.3872189 0.3941306 0.09566528 -0.4734166 -0.4344939 0.4372372 -0.154015 0.3367401 -0.2817938 0.4984235 -0.1028969 0.2882837 0.07488258 -0.773874 -0.478204 -0.3404468 0.3256539 -0.3251628 0.3596194 0.6925741 0.7134507 -0.7636488 0.3399019 -0.02049298## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 1.305e+01 1.168e-04 111656.818 < 2e-16 ***
## loneliness_state_pmc -1.664e+00 2.310e-04 -7203.822 < 2e-16 ***
## socintsatisfaction_state_pmc 6.256e+00 2.779e-04 22512.065 < 2e-16 ***
## responsiveness_state_pmc 8.411e+00 1.969e-04 42710.606 < 2e-16 ***
## depressedmood_state 4.366e-01 5.926e-06 73676.471 < 2e-16 ***
## loneliness_state_pmc -4.231e-01 5.464e-03 -77.436 < 2e-16 ***
## socintsatisfaction_state_pmc 3.904e-02 2.128e-02 1.834 0.066618 .
## responsiveness_state_pmc -3.469e-01 1.014e-02 -34.214 < 2e-16 ***
## depressedmood_state 1.275e-01 5.462e-06 23345.309 < 2e-16 ***
## loneliness_state_pmc 6.673e-01 1.753e-05 38060.114 < 2e-16 ***
## socintsatisfaction_state_pmc 2.886e-01 6.575e-05 4389.721 < 2e-16 ***
## responsiveness_state_pmc 2.988e-02 2.268e-02 1.317 0.187685
## depressedmood_state -3.872e-01 5.214e-05 -7427.004 < 2e-16 ***
## loneliness_state_pmc 3.941e-01 9.976e-02 3.951 7.79e-05 ***
## socintsatisfaction_state_pmc 9.567e-02 9.078e-03 10.538 < 2e-16 ***
## responsiveness_state_pmc -4.734e-01 1.274e-01 -3.715 0.000203 ***
## depressedmood_state -4.345e-01 1.456e-05 -29849.179 < 2e-16 ***
## loneliness_state_pmc 4.372e-01 4.055e-01 1.078 0.280909
## socintsatisfaction_state_pmc -1.540e-01 1.434e-01 -1.074 0.282920
## responsiveness_state_pmc 3.367e-01 3.224e-02 10.443 < 2e-16 ***
## -2.818e-01 3.595e-03 -78.385 < 2e-16 ***
## 4.984e-01 3.217e-01 1.549 0.121336
## -1.029e-01 6.098e-03 -16.874 < 2e-16 ***
## 2.883e-01 NaN NaN NaN
## 7.488e-02 1.625e-02 4.609 4.04e-06 ***
## -7.739e-01 8.009e-03 -96.624 < 2e-16 ***
## -4.782e-01 1.950e-05 -24522.648 < 2e-16 ***
## -3.404e-01 5.770e-06 -59007.445 < 2e-16 ***
## 3.257e-01 9.348e-02 3.484 0.000494 ***
## -3.252e-01 3.459e-01 -0.940 0.347232
## 3.596e-01 8.965e-04 401.153 < 2e-16 ***
## 6.926e-01 5.241e-03 132.134 < 2e-16 ***
## 7.135e-01 9.686e-05 7365.755 < 2e-16 ***
## -7.636e-01 6.680e-01 -1.143 0.252978
## 3.399e-01 1.348e-03 252.061 < 2e-16 ***
## -2.049e-02 2.563e-02 -0.800 0.423922
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 13.04709 -1.663771 6.25613 8.411056
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.437 -0.423 0.0390 -0.3469
## [2,] 0.128 0.667 0.2886 0.0299
## [3,] -0.387 0.394 0.0957 -0.4734
## [4,] -0.434 0.437 -0.1540 0.3367
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.2818 -0.498 0.103 -0.2883
## [2,] -0.0749 0.774 0.478 0.3404
## [3,] -0.3257 0.325 -0.360 -0.6926
## [4,] -0.7135 0.764 -0.340 0.0205
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 109.58394 82.24991 -35.77800 -30.78788
## [2,] 82.24991 150.47143 -89.88985 -58.24375
## [3,] -35.77800 -89.88985 221.81236 112.56208
## [4,] -30.78788 -58.24375 112.56208 143.64438
## ----
## aic= 19.75827
## bic= 20.91464
## Number of parameters: 36
## initial estimates: 27.3914 -25.506 16.343 6.8951 0.6073 -0.156 -0.0526 -0.1421 0.3772 0.192 -0.0267 0.0693 -0.2354 0.634 0.52 0.3101 -0.1361 -0.141 0.1936 0.1576 -0.6387 0.9229 0.0755 -0.2503 -0.7507 -0.0925 -0.165 0.0587 0.5382 -1.087 0.1148 -0.3546 0.1775 -0.3659 -0.3943 0.1462
## Par. lower-bounds: 5.0064 -51.0232 -28.7005 -19.9242 0.2853 -0.5189 -0.1961 -0.4272 0.0102 -0.2217 -0.1903 -0.2557 -0.8832 -0.0963 0.2312 -0.2636 -0.5218 -0.5758 0.0217 -0.184 -1.226 0.2071 -0.3656 -0.9825 -1.4201 -0.9084 -0.6678 -0.776 -0.6436 -2.5273 -0.7728 -1.828 -0.5262 -1.2235 -0.9228 -0.7311
## Par. upper-bounds: 49.7763 0.0112 61.3865 33.7145 0.9292 0.2069 0.0909 0.143 0.7442 0.6057 0.1369 0.3943 0.4125 1.3642 0.8088 0.8838 0.2496 0.2938 0.3656 0.4992 -0.0513 1.6387 0.5166 0.482 -0.0812 0.7235 0.3378 0.8934 1.72 0.3533 1.0024 1.1188 0.8811 0.4917 0.1342 1.0235
## Final Estimates: 27.03606 -25.41289 16.74428 7.131213 0.5884157 -0.5189313 -0.1015882 -0.4272114 0.3946043 0.1761845 -0.0105321 0.1573481 -0.2896019 1.031385 0.6479645 -0.2635547 -0.1411633 -0.5704098 0.3655753 -0.1839559 -0.5569871 0.8575339 0.2107457 0.317003 -0.7428975 0.266718 -0.0993434 0.1088757 0.2326824 -0.9293174 -0.2696737 0.9081583 0.1761147 0.4916824 -0.3624842 0.4780917
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 27.03606 11.07271 2.442 0.014619 *
## loneliness_state_pmc -25.41289 9.30764 -2.730 0.006327 **
## socintsatisfaction_state_pmc 16.74428 19.39561 0.863 0.387971
## responsiveness_state_pmc 7.13121 31.02171 0.230 0.818186
## depressedmood_state 0.58842 0.17510 3.360 0.000778 ***
## loneliness_state_pmc -0.51893 0.21462 -2.418 0.015610 *
## socintsatisfaction_state_pmc -0.10159 0.14165 -0.717 0.473269
## responsiveness_state_pmc -0.42721 0.49693 -0.860 0.389956
## depressedmood_state 0.39460 0.13578 2.906 0.003658 **
## loneliness_state_pmc 0.17618 0.33489 0.526 0.598822
## socintsatisfaction_state_pmc -0.01053 0.10266 -0.103 0.918284
## responsiveness_state_pmc 0.15735 0.15845 0.993 0.320677
## depressedmood_state -0.28960 0.29907 -0.968 0.332874
## loneliness_state_pmc 1.03139 0.57535 1.793 0.073034 .
## socintsatisfaction_state_pmc 0.64796 0.39629 1.635 0.102032
## responsiveness_state_pmc -0.26355 0.46071 -0.572 0.567282
## depressedmood_state -0.14116 0.46663 -0.303 0.762260
## loneliness_state_pmc -0.57041 0.36799 -1.550 0.121128
## socintsatisfaction_state_pmc 0.36558 0.18032 2.027 0.042621 *
## responsiveness_state_pmc -0.18396 0.25231 -0.729 0.465945
## -0.55699 0.20645 -2.698 0.006976 **
## 0.85753 0.24874 3.448 0.000566 ***
## 0.21075 0.20116 1.048 0.294807
## 0.31700 0.55821 0.568 0.570105
## -0.74290 0.17865 -4.158 3.2e-05 ***
## 0.26672 0.39033 0.683 0.494405
## -0.09934 0.08649 -1.149 0.250738
## 0.10888 0.13856 0.786 0.432010
## 0.23268 0.50719 0.459 0.646398
## -0.92932 0.47617 -1.952 0.050981 .
## -0.26967 0.51377 -0.525 0.599660
## 0.90816 0.52251 1.738 0.082201 .
## 0.17611 0.26587 0.662 0.507715
## 0.49168 0.22722 2.164 0.030471 *
## -0.36248 0.12900 -2.810 0.004955 **
## 0.47809 0.27405 1.745 0.081060 .
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 27.03606 -25.41289 16.74428 7.131213
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.588 -0.519 -0.1016 -0.427
## [2,] 0.395 0.176 -0.0105 0.157
## [3,] -0.290 1.031 0.6480 -0.264
## [4,] -0.141 -0.570 0.3656 -0.184
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.557 -0.858 -0.2107 -0.317
## [2,] 0.743 -0.267 0.0993 -0.109
## [3,] -0.233 0.929 0.2697 -0.908
## [4,] -0.176 -0.492 0.3625 -0.478
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 139.24737 54.30125 -33.88379 -18.42285
## [2,] 54.30125 149.36681 -100.15468 -58.63706
## [3,] -33.88379 -100.15468 430.06797 132.22021
## [4,] -18.42285 -58.63706 132.22021 135.71711
## ----
## aic= 21.19957
## bic= 22.35594
## Number of parameters: 36
## initial estimates: 7.1809 2.4792 0.465 -0.9446 -0.1553 0.1251 -0.083 -0.0359 -0.3233 0.5077 -0.1435 -0.1752 -0.0824 -0.0045 0.1214 0.0676 0.1945 -0.1891 -0.0713 0.4596 0.2759 -0.4038 -0.0147 -0.1649 0.2107 -0.5415 -0.0746 0.1922 -0.222 0.021 -0.1923 -0.2633 0.0453 0.3047 0.358 -0.7237
## Par. lower-bounds: 4.299 -2.0373 -3.9724 -4.2654 -0.5266 -0.0857 -0.2837 -0.3117 -0.9052 0.1774 -0.4581 -0.6075 -0.6541 -0.3291 -0.1876 -0.3571 -0.2333 -0.432 -0.3026 0.1418 -0.3864 -0.8669 -0.3992 -0.725 -0.8273 -1.2673 -0.6772 -0.6855 -1.2418 -0.6921 -0.7843 -1.1257 -0.7179 -0.2289 -0.085 -1.369
## Par. upper-bounds: 10.0628 6.9958 4.9024 2.3762 0.216 0.3359 0.1177 0.24 0.2587 0.8381 0.171 0.2571 0.4893 0.32 0.4304 0.4923 0.6224 0.0538 0.16 0.7774 0.9382 0.0594 0.3698 0.3951 1.2486 0.1843 0.5279 1.07 0.7978 0.7341 0.3997 0.599 0.8084 0.8383 0.801 -0.0783
## Final Estimates: 7.147136 2.425318 0.4446753 -0.9542727 -0.1829995 0.3352146 -0.04414155 -0.02537872 -0.450507 0.8339693 -0.3846141 -0.3073367 -0.07239962 0.02028882 0.275912 0.2106612 0.1232821 -0.06951446 -0.1365368 0.7761779 0.00171684 -0.4874753 -0.2065879 0.07991474 0.04493926 -0.9363941 0.006180446 0.4149143 -0.3935375 -0.01388215 -0.4693304 0.1638302 0.2003059 0.06753618 0.2411002 -0.6009348## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 7.1471361 1.8303436 3.905 9.43e-05 ***
## loneliness_state_pmc 2.4253180 NaN NaN NaN
## socintsatisfaction_state_pmc 0.4446753 1.0613827 0.419 0.67525
## responsiveness_state_pmc -0.9542727 0.9381707 -1.017 0.30908
## depressedmood_state -0.1829995 0.3342693 -0.547 0.58406
## loneliness_state_pmc 0.3352146 0.0778054 4.308 1.64e-05 ***
## socintsatisfaction_state_pmc -0.0441415 0.1582340 -0.279 0.78027
## responsiveness_state_pmc -0.0253787 0.2784394 -0.091 0.92738
## depressedmood_state -0.4505070 NaN NaN NaN
## loneliness_state_pmc 0.8339693 NaN NaN NaN
## socintsatisfaction_state_pmc -0.3846141 0.1044223 -3.683 0.00023 ***
## responsiveness_state_pmc -0.3073367 NaN NaN NaN
## depressedmood_state -0.0723996 0.1282788 -0.564 0.57249
## loneliness_state_pmc 0.0202888 0.1399161 0.145 0.88471
## socintsatisfaction_state_pmc 0.2759120 0.0398037 6.932 4.15e-12 ***
## responsiveness_state_pmc 0.2106612 0.2265943 0.930 0.35253
## depressedmood_state 0.1232821 0.1424213 0.866 0.38670
## loneliness_state_pmc -0.0695145 0.0319641 -2.175 0.02965 *
## socintsatisfaction_state_pmc -0.1365368 NaN NaN NaN
## responsiveness_state_pmc 0.7761779 NaN NaN NaN
## 0.0017168 0.2977887 0.006 0.99540
## -0.4874753 0.0589365 -8.271 2.22e-16 ***
## -0.2065879 0.1468635 -1.407 0.15953
## 0.0799147 0.3068428 0.260 0.79452
## 0.0449393 NaN NaN NaN
## -0.9363941 0.0006442 -1453.584 < 2e-16 ***
## 0.0061804 NaN NaN NaN
## 0.4149143 NaN NaN NaN
## -0.3935375 0.0503605 -7.814 5.55e-15 ***
## -0.0138822 0.1901891 -0.073 0.94181
## -0.4693304 NaN NaN NaN
## 0.1638302 0.1597859 1.025 0.30522
## 0.2003059 0.2176895 0.920 0.35750
## 0.0675362 0.1105469 0.611 0.54125
## 0.2411002 NaN NaN NaN
## -0.6009348 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 7.147136 2.425318 0.4446753 -0.9542727
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.1830 0.3352 -0.0441 -0.0254
## [2,] -0.4505 0.8340 -0.3846 -0.3073
## [3,] -0.0724 0.0203 0.2759 0.2107
## [4,] 0.1233 -0.0695 -0.1365 0.7762
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.00172 0.4875 0.20659 -0.0799
## [2,] -0.04494 0.9364 -0.00618 -0.4149
## [3,] 0.39354 0.0139 0.46933 -0.1638
## [4,] -0.20031 -0.0675 -0.24110 0.6009
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 39.73885 29.55196 -24.08104 -10.82752
## [2,] 29.55196 105.59142 -37.87661 -17.95429
## [3,] -24.08104 -37.87661 122.34815 51.94536
## [4,] -10.82752 -17.95429 51.94536 71.55658
## ----
## aic= 17.67297
## bic= 18.82933
## Number of parameters: 36
## initial estimates: 19.4775 -3.8942 8.0935 -0.3984 0.5468 -0.145 -0.1014 0.3297 0.108 -0.0641 -0.1253 0.3352 -0.1776 0.2042 0.5385 -0.5188 -0.0113 -0.0472 0.0957 0.1138 -0.6827 0.5402 -0.0973 -0.1712 -0.0328 0.1014 0.2148 -0.1127 1.2563 -0.9176 -0.5771 1.1734 0.467 -0.3517 -0.0639 -0.3017
## Par. lower-bounds: 6.1566 -13.0154 -8.8156 -11.2369 0.2387 -0.6789 -0.3373 -0.0772 -0.103 -0.4297 -0.2869 0.0566 -0.5688 -0.4734 0.239 -1.0353 -0.262 -0.4815 -0.0963 -0.2172 -1.5586 -0.5867 -0.5522 -0.9678 -0.6325 -0.6702 -0.0966 -0.6582 0.1445 -2.348 -1.1545 0.1622 -0.2457 -1.2686 -0.434 -0.9499
## Par. upper-bounds: 32.7984 5.2271 25.0026 10.4401 0.855 0.3888 0.1345 0.7366 0.319 0.3014 0.0362 0.6138 0.2136 0.8818 0.838 -0.0024 0.2395 0.3872 0.2876 0.4449 0.1932 1.6672 0.3575 0.6254 0.5669 0.873 0.5263 0.4327 2.3681 0.5129 3e-04 2.1846 1.1796 0.5652 0.3062 0.3464
## Final Estimates: 19.46147 -3.900711 8.120813 -0.372218 0.5117917 -0.2016955 0.1306547 0.4286819 0.08173295 -0.2889524 -0.2868632 0.05679271 -0.1601414 0.8494821 0.2420419 -1.035221 0.006461253 -0.01842536 0.258841 0.1574093 -0.01122951 -0.02798504 -0.1577443 -0.4348842 0.1516208 0.1477083 0.4486751 5.798484e-05 0.5006015 -1.161558 -0.05600789 1.105446 0.3042661 -0.462874 -0.4298398 0.2627353## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 1.946e+01 NaN NaN NaN
## loneliness_state_pmc -3.901e+00 NaN NaN NaN
## socintsatisfaction_state_pmc 8.121e+00 NaN NaN NaN
## responsiveness_state_pmc -3.722e-01 3.575e+00 -0.104 0.917085
## depressedmood_state 5.118e-01 NaN NaN NaN
## loneliness_state_pmc -2.017e-01 NaN NaN NaN
## socintsatisfaction_state_pmc 1.307e-01 NaN NaN NaN
## responsiveness_state_pmc 4.287e-01 NaN NaN NaN
## depressedmood_state 8.173e-02 NaN NaN NaN
## loneliness_state_pmc -2.890e-01 1.651e-01 -1.750 0.080041 .
## socintsatisfaction_state_pmc -2.869e-01 NaN NaN NaN
## responsiveness_state_pmc 5.679e-02 8.654e-02 0.656 0.511677
## depressedmood_state -1.601e-01 NaN NaN NaN
## loneliness_state_pmc 8.495e-01 1.892e-01 4.489 7.17e-06 ***
## socintsatisfaction_state_pmc 2.420e-01 9.473e-02 2.555 0.010617 *
## responsiveness_state_pmc -1.035e+00 1.218e-01 -8.498 < 2e-16 ***
## depressedmood_state 6.461e-03 7.598e-02 0.085 0.932230
## loneliness_state_pmc -1.843e-02 NaN NaN NaN
## socintsatisfaction_state_pmc 2.588e-01 7.263e-02 3.564 0.000366 ***
## responsiveness_state_pmc 1.574e-01 8.064e-02 1.952 0.050943 .
## -1.123e-02 NaN NaN NaN
## -2.799e-02 NaN NaN NaN
## -1.577e-01 NaN NaN NaN
## -4.349e-01 NaN NaN NaN
## 1.516e-01 NaN NaN NaN
## 1.477e-01 NaN NaN NaN
## 4.487e-01 NaN NaN NaN
## 5.798e-05 2.051e-02 0.003 0.997744
## 5.006e-01 NaN NaN NaN
## -1.162e+00 NaN NaN NaN
## -5.601e-02 9.048e-02 -0.619 0.535917
## 1.105e+00 4.035e-02 27.398 < 2e-16 ***
## 3.043e-01 NaN NaN NaN
## -4.629e-01 NaN NaN NaN
## -4.298e-01 NaN NaN NaN
## 2.627e-01 1.495e-02 17.570 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 19.46147 -3.900711 8.120813 -0.372218
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.51179 -0.2017 0.131 0.4287
## [2,] 0.08173 -0.2890 -0.287 0.0568
## [3,] -0.16014 0.8495 0.242 -1.0352
## [4,] 0.00646 -0.0184 0.259 0.1574
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0112 0.028 0.158 0.434884
## [2,] -0.1516 -0.148 -0.449 -0.000058
## [3,] -0.5006 1.162 0.056 -1.105446
## [4,] -0.3043 0.463 0.430 -0.262735
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 182.60564 74.67149 -43.13901 -18.26865
## [2,] 74.67149 67.79577 -14.26637 2.39245
## [3,] -43.13901 -14.26637 206.20499 47.11211
## [4,] -18.26865 2.39245 47.11211 100.68566
## ----
## aic= 19.59954
## bic= 20.75591
## Number of parameters: 36
## initial estimates: 22.9293 4.5084 -5.041 -2.5172 -0.1281 0.494 -0.1278 -0.0536 -0.1819 0.6231 -0.0204 0.0949 0.1975 -0.2046 -0.1159 0.2382 0.2196 -0.3968 -0.0222 0.1435 0.1495 -0.1553 0.2872 0.0276 0.2393 -1.0234 -0.5493 0.0751 -0.4148 -0.0245 0.1982 -0.0523 -1e-04 0.4337 0.7369 -0.1782
## Par. lower-bounds: 15.4226 -3.7522 -14.7085 -12.8547 -0.4872 0.144 -0.4162 -0.3031 -0.5772 0.2379 -0.3378 -0.1798 -0.2651 -0.6555 -0.4873 -0.0833 -0.275 -0.8789 -0.4194 -0.2002 -0.5668 -0.9232 -0.5999 -0.7434 -0.549 -1.8684 -1.5255 -0.7734 -1.3373 -1.0134 -0.9443 -1.0452 -0.9865 -0.6237 -0.4848 -1.2399
## Par. upper-bounds: 30.436 12.7689 4.6265 7.8203 0.2311 0.8441 0.1606 0.196 0.2133 1.0083 0.2969 0.3696 0.6601 0.2462 0.2555 0.5596 0.7142 0.0852 0.3749 0.4872 0.8658 0.6126 1.1744 0.7987 1.0275 -0.1784 0.4269 0.9235 0.5077 0.9644 1.3407 0.9407 0.9864 1.4912 1.9585 0.8836
## Final Estimates: 22.74003 4.583168 -5.171263 -2.390097 -0.1357729 0.8167219 -0.4161726 -0.3031473 -0.2522736 0.7667672 0.2808615 -0.1784267 0.3058707 -0.6554568 -0.4873312 -0.0832579 0.135572 -0.4227369 0.3749237 -0.1470469 0.2722007 -0.5703252 0.3593465 0.3258462 0.311321 -0.5610752 -0.4098428 0.272788 -0.6185113 0.8981004 0.4759826 0.2544774 -0.3122998 0.4578733 -0.434367 0.5218337## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 22.74003 7.97470 2.852 0.00435 **
## loneliness_state_pmc 4.58317 12.87495 0.356 0.72186
## socintsatisfaction_state_pmc -5.17126 10.47313 -0.494 0.62147
## responsiveness_state_pmc -2.39010 2.24245 -1.066 0.28650
## depressedmood_state -0.13577 0.42192 -0.322 0.74761
## loneliness_state_pmc 0.81672 0.20147 4.054 5.04e-05 ***
## socintsatisfaction_state_pmc -0.41617 0.51907 -0.802 0.42269
## responsiveness_state_pmc -0.30315 0.46724 -0.649 0.51646
## depressedmood_state -0.25227 0.63982 -0.394 0.69337
## loneliness_state_pmc 0.76677 0.61449 1.248 0.21210
## socintsatisfaction_state_pmc 0.28086 0.25042 1.122 0.26205
## responsiveness_state_pmc -0.17843 0.37107 -0.481 0.63063
## depressedmood_state 0.30587 0.48047 0.637 0.52438
## loneliness_state_pmc -0.65546 0.62779 -1.044 0.29645
## socintsatisfaction_state_pmc -0.48733 0.26957 -1.808 0.07064 .
## responsiveness_state_pmc -0.08326 0.14356 -0.580 0.56196
## depressedmood_state 0.13557 NaN NaN NaN
## loneliness_state_pmc -0.42274 0.81191 -0.521 0.60260
## socintsatisfaction_state_pmc 0.37492 0.47040 0.797 0.42544
## responsiveness_state_pmc -0.14705 NaN NaN NaN
## 0.27220 0.44472 0.612 0.54049
## -0.57033 NaN NaN NaN
## 0.35935 0.45862 0.784 0.43331
## 0.32585 0.48550 0.671 0.50212
## 0.31132 0.57892 0.538 0.59074
## -0.56108 0.55770 -1.006 0.31439
## -0.40984 0.07357 -5.571 2.53e-08 ***
## 0.27279 0.41330 0.660 0.50924
## -0.61851 0.46954 -1.317 0.18775
## 0.89810 0.62012 1.448 0.14754
## 0.47598 0.27157 1.753 0.07965 .
## 0.25448 NaN NaN NaN
## -0.31230 0.49695 -0.628 0.52972
## 0.45787 0.81991 0.558 0.57654
## -0.43437 0.40068 -1.084 0.27833
## 0.52183 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 22.74003 4.583168 -5.171263 -2.390097
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.136 0.817 -0.416 -0.3031
## [2,] -0.252 0.767 0.281 -0.1784
## [3,] 0.306 -0.655 -0.487 -0.0833
## [4,] 0.136 -0.423 0.375 -0.1470
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.272 0.570 -0.359 -0.326
## [2,] -0.311 0.561 0.410 -0.273
## [3,] 0.619 -0.898 -0.476 -0.254
## [4,] 0.312 -0.458 0.434 -0.522
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 115.04772 68.21645 -80.40646 -19.46186
## [2,] 68.21645 145.14598 -96.84398 -88.38875
## [3,] -80.40646 -96.84398 226.33669 129.97707
## [4,] -19.46186 -88.38875 129.97707 243.33953
## ----
## aic= 20.35603
## bic= 21.5124
## Number of parameters: 36
## initial estimates: 13.7657 -3.5982 4.8679 4.3046 0.4606 -0.1452 -0.1507 -0.1935 0.1636 0.2239 -0.0686 -0.1538 -0.1857 -0.2406 0.3484 0.099 -0.1752 0.0272 0.2101 0.1053 -0.3156 -0.2732 0.5189 -0.6858 -0.927 -0.654 -0.9025 0.7132 -0.2182 0.6122 -0.0839 0.056 0.0998 -0.0188 -0.2764 0.0323
## Par. lower-bounds: 5.7931 -11.6056 -4.3385 -2.1275 0.1685 -0.5065 -0.4515 -0.6461 -0.1298 -0.139 -0.3708 -0.6084 -0.5231 -0.6578 0.001 -0.4236 -0.4109 -0.2643 -0.0327 -0.2598 -1.0634 -0.7916 -0.2634 -1.5997 -1.6782 -1.1747 -1.6882 -0.2047 -1.0819 0.0136 -0.9872 -0.9993 -0.5036 -0.4371 -0.9075 -0.705
## Par. upper-bounds: 21.7383 4.4092 14.0743 10.7367 0.7528 0.2161 0.1502 0.2592 0.457 0.5868 0.2336 0.3008 0.1516 0.1766 0.6958 0.6217 0.0605 0.3187 0.4528 0.4705 0.4323 0.2452 1.3012 0.2281 -0.1759 -0.1334 -0.1168 1.6311 0.6454 1.2109 0.8194 1.1114 0.7032 0.3994 0.3548 0.7696
## Final Estimates: 13.72017 -4.010874 4.559161 4.730106 0.4654855 0.1829754 0.01764628 -0.6136441 0.1331904 0.5857164 0.2335675 -0.4529805 -0.1346923 -0.08533006 0.4395924 -0.3241076 -0.1568557 0.3186837 0.05227894 0.4670116 -0.2899563 -0.4724988 -0.07899526 0.2281255 -0.1916822 -0.7452085 -0.5884497 0.1073442 -0.03417389 0.01677856 0.1516148 0.6550225 -0.1054144 -0.4370657 0.2260187 -0.6735285## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 13.72017 NaN NaN NaN
## loneliness_state_pmc -4.01087 NaN NaN NaN
## socintsatisfaction_state_pmc 4.55916 NaN NaN NaN
## responsiveness_state_pmc 4.73011 3.85700 1.226 0.22006
## depressedmood_state 0.46549 NaN NaN NaN
## loneliness_state_pmc 0.18298 NaN NaN NaN
## socintsatisfaction_state_pmc 0.01765 NaN NaN NaN
## responsiveness_state_pmc -0.61364 NaN NaN NaN
## depressedmood_state 0.13319 NaN NaN NaN
## loneliness_state_pmc 0.58572 NaN NaN NaN
## socintsatisfaction_state_pmc 0.23357 0.07970 2.931 0.00338 **
## responsiveness_state_pmc -0.45298 NaN NaN NaN
## depressedmood_state -0.13469 NaN NaN NaN
## loneliness_state_pmc -0.08533 NaN NaN NaN
## socintsatisfaction_state_pmc 0.43959 0.13736 3.200 0.00137 **
## responsiveness_state_pmc -0.32411 NaN NaN NaN
## depressedmood_state -0.15686 0.11279 -1.391 0.16433
## loneliness_state_pmc 0.31868 NaN NaN NaN
## socintsatisfaction_state_pmc 0.05228 NaN NaN NaN
## responsiveness_state_pmc 0.46701 0.07987 5.847 5.01e-09 ***
## -0.28996 NaN NaN NaN
## -0.47250 NaN NaN NaN
## -0.07900 NaN NaN NaN
## 0.22813 NaN NaN NaN
## -0.19168 NaN NaN NaN
## -0.74521 0.12436 -5.992 2.07e-09 ***
## -0.58845 0.09781 -6.016 1.79e-09 ***
## 0.10734 NaN NaN NaN
## -0.03417 NaN NaN NaN
## 0.01678 NaN NaN NaN
## 0.15161 0.15345 0.988 0.32314
## 0.65502 NaN NaN NaN
## -0.10541 NaN NaN NaN
## -0.43707 NaN NaN NaN
## 0.22602 NaN NaN NaN
## -0.67353 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 13.72017 -4.010874 4.559161 4.730106
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.465 0.1830 0.0176 -0.614
## [2,] 0.133 0.5857 0.2336 -0.453
## [3,] -0.135 -0.0853 0.4396 -0.324
## [4,] -0.157 0.3187 0.0523 0.467
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.2900 0.4725 0.079 -0.228
## [2,] 0.1917 0.7452 0.588 -0.107
## [3,] 0.0342 -0.0168 -0.152 -0.655
## [4,] 0.1054 0.4371 -0.226 0.674
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 109.28495 46.94969 -43.68835 -25.08870
## [2,] 46.94969 124.24865 -43.56833 -14.93996
## [3,] -43.68835 -43.56833 135.30848 45.89899
## [4,] -25.08870 -14.93996 45.89899 67.36897
## ----
## aic= 19.00905
## bic= 20.16542
## Number of parameters: 36
## initial estimates: 21.2351 0.3121 -11.2721 -3.3039 0.3276 0.4261 0.3891 -0.2032 0.0384 0.3896 0.2414 -0.0968 0.2782 0.0839 0.4046 0.0212 0.0438 0.1735 -0.2916 0.733 -0.6214 -0.3473 -0.4088 0.298 -0.1138 -0.122 -0.3484 -0.076 -0.0919 -0.0383 -0.4541 0.3914 -0.0464 -0.4882 -0.296 -0.0445
## Par. lower-bounds: 10.9756 -6.1722 -18.8912 -8.5093 0.0026 -0.1031 0.0584 -0.5773 -0.167 0.0551 0.0324 -0.3332 0.0369 -0.3091 0.1591 -0.2566 -0.1211 -0.095 -0.4594 0.5431 -1.5125 -1.57 -1.2586 -0.8098 -0.677 -0.8948 -0.8855 -0.7762 -0.7537 -0.9463 -1.0852 -0.4314 -0.4985 -1.1085 -0.7272 -0.6066
## Par. upper-bounds: 31.4947 6.7965 -3.6529 1.9015 0.6526 0.9554 0.7198 0.1709 0.2438 0.7241 0.4504 0.1397 0.5195 0.4769 0.6502 0.2991 0.2086 0.442 -0.1239 0.9228 0.2697 0.8754 0.441 1.4059 0.4494 0.6508 0.1887 0.6242 0.5699 0.8698 0.177 1.2141 0.4058 0.1322 0.1352 0.5176
## Final Estimates: 15.03408 -3.825157 -8.880416 -2.70221 0.4792986 0.9553562 0.0583906 -0.08757846 0.1550963 0.7240888 0.03240001 -0.07380051 0.2840418 -0.3091345 0.6502292 0.1422712 0.07341363 0.02552209 -0.1238546 0.7558843 -0.4112169 -0.8930917 -0.08692115 -0.1557827 -0.2057019 -0.6564009 -0.07018758 0.0107175 -0.1016332 0.5507767 0.03738888 -0.06037181 -0.1098819 0.1322115 -0.05718348 0.1432699## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 15.03408 NaN NaN NaN
## loneliness_state_pmc -3.82516 NaN NaN NaN
## socintsatisfaction_state_pmc -8.88042 NaN NaN NaN
## responsiveness_state_pmc -2.70221 NaN NaN NaN
## depressedmood_state 0.47930 NaN NaN NaN
## loneliness_state_pmc 0.95536 NaN NaN NaN
## socintsatisfaction_state_pmc 0.05839 0.08398 0.695 0.486869
## responsiveness_state_pmc -0.08758 0.07672 -1.142 0.253625
## depressedmood_state 0.15510 NaN NaN NaN
## loneliness_state_pmc 0.72409 NaN NaN NaN
## socintsatisfaction_state_pmc 0.03240 NaN NaN NaN
## responsiveness_state_pmc -0.07380 0.02034 -3.628 0.000286 ***
## depressedmood_state 0.28404 NaN NaN NaN
## loneliness_state_pmc -0.30913 NaN NaN NaN
## socintsatisfaction_state_pmc 0.65023 0.10832 6.003 1.94e-09 ***
## responsiveness_state_pmc 0.14227 NaN NaN NaN
## depressedmood_state 0.07341 NaN NaN NaN
## loneliness_state_pmc 0.02552 NaN NaN NaN
## socintsatisfaction_state_pmc -0.12385 0.04464 -2.775 0.005529 **
## responsiveness_state_pmc 0.75588 0.13405 5.639 1.71e-08 ***
## -0.41122 NaN NaN NaN
## -0.89309 NaN NaN NaN
## -0.08692 NaN NaN NaN
## -0.15578 NaN NaN NaN
## -0.20570 NaN NaN NaN
## -0.65640 NaN NaN NaN
## -0.07019 NaN NaN NaN
## 0.01072 NaN NaN NaN
## -0.10163 NaN NaN NaN
## 0.55078 NaN NaN NaN
## 0.03739 0.19178 0.195 0.845425
## -0.06037 NaN NaN NaN
## -0.10988 NaN NaN NaN
## 0.13221 NaN NaN NaN
## -0.05718 0.11557 -0.495 0.620741
## 0.14327 0.14649 0.978 0.328063
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 15.03408 -3.825157 -8.880416 -2.70221
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.4793 0.9554 0.0584 -0.0876
## [2,] 0.1551 0.7241 0.0324 -0.0738
## [3,] 0.2840 -0.3091 0.6502 0.1423
## [4,] 0.0734 0.0255 -0.1239 0.7559
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.411 0.893 0.0869 0.1558
## [2,] 0.206 0.656 0.0702 -0.0107
## [3,] 0.102 -0.551 -0.0374 0.0604
## [4,] 0.110 -0.132 0.0572 -0.1433
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 124.19411 38.146050 11.72782 -12.132161
## [2,] 38.14605 60.047829 4.33806 4.790522
## [3,] 11.72782 4.338060 104.39317 46.555032
## [4,] -12.13216 4.790522 46.55503 52.209053
## ----
## aic= 17.68409
## bic= 18.84046
## Number of parameters: 36
## initial estimates: 22.3987 -3.0927 15.0594 11.8254 0.5513 -0.3326 0.2138 -0.6396 0.0568 0.26 0.1072 -0.3692 -0.2645 0.1086 0.0128 0.2621 -0.2118 0.2375 -0.2596 0.5503 -0.8583 0.6235 -0.2399 -0.0055 -0.0276 -0.7288 -0.0729 -0.0058 0.1596 0.1865 0.3318 -0.3432 0.1625 0.5045 0.6357 -0.2328
## Par. lower-bounds: 3.5341 -14.8523 -3.7123 -0.6181 0.1937 -0.964 -0.1463 -1.1386 -0.1662 -0.1336 -0.1173 -0.6803 -0.6204 -0.5197 -0.3456 -0.2344 -0.4477 -0.179 -0.4972 0.2212 -1.6352 -0.4617 -0.9464 -0.9222 -0.5119 -1.4053 -0.5133 -0.5772 -0.6134 -0.8934 -0.3711 -1.2553 -0.35 -0.2113 0.1697 -0.8375
## Par. upper-bounds: 41.2633 8.667 33.8311 24.2689 0.9089 0.2988 0.574 -0.1406 0.2797 0.6536 0.3317 -0.0582 0.0913 0.7369 0.3712 0.7587 0.024 0.6539 -0.022 0.8795 -0.0814 1.7087 0.4665 0.9111 0.4567 -0.0523 0.3675 0.5656 0.9327 1.2663 1.0348 0.569 0.675 1.2204 1.1017 0.3718
## Final Estimates: 22.3245 -2.982499 15.06105 11.83416 0.5266776 -0.5864384 0.2187813 -0.7570033 0.03084824 0.5906643 0.3274364 -0.05815376 -0.2716253 -0.009454725 -0.2105459 0.534548 -0.1935108 -0.02548367 -0.4971866 0.5350439 -0.4594655 0.9057653 -0.06933643 -0.02474894 0.2093053 -0.7510069 -0.3418906 -0.2814277 0.2202161 0.1065602 0.2956767 -0.2025002 0.1027666 0.2073542 0.448117 0.01284433## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 22.324496 4.288003 5.206 1.93e-07 ***
## loneliness_state_pmc -2.982499 3.938121 -0.757 0.44885
## socintsatisfaction_state_pmc 15.061052 10.226811 1.473 0.14083
## responsiveness_state_pmc 11.834161 7.697008 1.538 0.12417
## depressedmood_state 0.526678 0.118337 4.451 8.56e-06 ***
## loneliness_state_pmc -0.586438 0.476536 -1.231 0.21846
## socintsatisfaction_state_pmc 0.218781 0.599909 0.365 0.71534
## responsiveness_state_pmc -0.757003 0.432230 -1.751 0.07988 .
## depressedmood_state 0.030848 0.087968 0.351 0.72583
## loneliness_state_pmc 0.590664 0.351522 1.680 0.09290 .
## socintsatisfaction_state_pmc 0.327436 0.292664 1.119 0.26322
## responsiveness_state_pmc -0.058154 0.354973 -0.164 0.86987
## depressedmood_state -0.271625 0.177067 -1.534 0.12502
## loneliness_state_pmc -0.009455 0.731116 -0.013 0.98968
## socintsatisfaction_state_pmc -0.210546 1.480153 -0.142 0.88689
## responsiveness_state_pmc 0.534548 1.955622 0.273 0.78459
## depressedmood_state -0.193511 0.141344 -1.369 0.17098
## loneliness_state_pmc -0.025484 0.541146 -0.047 0.96244
## socintsatisfaction_state_pmc -0.497187 NaN NaN NaN
## responsiveness_state_pmc 0.535044 NaN NaN NaN
## -0.459466 0.162266 -2.832 0.00463 **
## 0.905765 0.342433 2.645 0.00817 **
## -0.069336 0.594526 -0.117 0.90716
## -0.024749 0.452258 -0.055 0.95636
## 0.209305 0.104043 2.012 0.04425 *
## -0.751007 0.274691 -2.734 0.00626 **
## -0.341891 0.308358 -1.109 0.26754
## -0.281428 0.434655 -0.647 0.51733
## 0.220216 0.207842 1.060 0.28935
## 0.106560 0.727031 0.147 0.88347
## 0.295677 1.554271 0.190 0.84913
## -0.202500 2.150923 -0.094 0.92499
## 0.102767 0.124328 0.827 0.40848
## 0.207354 0.492591 0.421 0.67379
## 0.448117 NaN NaN NaN
## 0.012844 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 22.3245 -2.982499 15.06105 11.83416
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.5267 -0.58644 0.219 -0.7570
## [2,] 0.0308 0.59066 0.327 -0.0582
## [3,] -0.2716 -0.00945 -0.211 0.5345
## [4,] -0.1935 -0.02548 -0.497 0.5350
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.459 -0.906 0.0693 0.0247
## [2,] -0.209 0.751 0.3419 0.2814
## [3,] -0.220 -0.107 -0.2957 0.2025
## [4,] -0.103 -0.207 -0.4481 -0.0128
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 280.51736 120.01109 -80.54435 -91.59384
## [2,] 120.01109 115.04934 -66.62514 -46.73916
## [3,] -80.54435 -66.62514 318.79259 104.08569
## [4,] -91.59384 -46.73916 104.08569 142.07589
## ----
## aic= 20.97064
## bic= 22.12701
## Number of parameters: 36
## initial estimates: 3.3997 0.7794 -1.0925 -1.5172 -0.1595 0.2631 0.0657 -0.0629 -0.2467 0.4021 0.1222 -0.1127 0.2305 -0.6211 -0.136 -0.1409 0.2524 -0.3715 -0.2103 0.1619 0.4048 -0.3634 -0.1444 0.4021 0.8667 0.1672 0.6006 -0.7104 -0.84 0.8485 -0.0341 -0.0322 -0.233 0.8169 0.375 -0.2219
## Par. lower-bounds: 0.8614 -2.2898 -4.6297 -4.3276 -0.622 0.0244 -0.2458 -0.4052 -0.806 0.1136 -0.2544 -0.5267 -0.4141 -0.9537 -0.5701 -0.618 -0.2597 -0.6357 -0.5551 -0.2171 -0.6061 -0.9825 -1.2103 -0.7528 -0.3556 -0.5814 -0.6882 -2.1068 -2.2486 -0.0142 -1.5195 -1.6416 -1.3521 0.1314 -0.8051 -1.5006
## Par. upper-bounds: 5.9381 3.8486 2.4447 1.2932 0.3031 0.5017 0.3772 0.2795 0.3127 0.6907 0.4988 0.3012 0.8751 -0.2885 0.298 0.3361 0.7646 -0.1072 0.1346 0.541 1.4156 0.2556 0.9214 1.557 2.0889 0.9158 1.8894 0.686 0.5686 1.7112 1.4512 1.5772 0.8862 1.5023 1.5551 1.0567
## Final Estimates: 3.507009 0.7544868 -1.198929 -1.302777 -0.2027429 0.2661051 0.3771718 -0.4051848 -0.4250892 0.4684361 -0.254427 -0.01996776 0.758053 -0.5105792 -0.08246796 -0.4094571 0.6492996 -0.6306356 -0.5262973 0.532958 0.05406241 0.01081513 -0.499625 0.433866 0.6855308 -0.2311177 0.440622 -0.1343904 -0.6801287 0.01962864 0.002731779 0.6272073 -0.5983162 0.4364408 0.6412918 -0.393579## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 3.507009 NaN NaN NaN
## loneliness_state_pmc 0.754487 1.228021 0.614 0.538956
## socintsatisfaction_state_pmc -1.198929 NaN NaN NaN
## responsiveness_state_pmc -1.302777 NaN NaN NaN
## depressedmood_state -0.202743 NaN NaN NaN
## loneliness_state_pmc 0.266105 NaN NaN NaN
## socintsatisfaction_state_pmc 0.377172 0.179963 2.096 0.036098 *
## responsiveness_state_pmc -0.405185 0.318871 -1.271 0.203840
## depressedmood_state -0.425089 0.399466 -1.064 0.287264
## loneliness_state_pmc 0.468436 0.141764 3.304 0.000952 ***
## socintsatisfaction_state_pmc -0.254427 0.272699 -0.933 0.350821
## responsiveness_state_pmc -0.019968 0.208203 -0.096 0.923596
## depressedmood_state 0.758053 NaN NaN NaN
## loneliness_state_pmc -0.510579 0.183542 -2.782 0.005406 **
## socintsatisfaction_state_pmc -0.082468 0.399503 -0.206 0.836458
## responsiveness_state_pmc -0.409457 0.610984 -0.670 0.502756
## depressedmood_state 0.649300 NaN NaN NaN
## loneliness_state_pmc -0.630636 0.167814 -3.758 0.000171 ***
## socintsatisfaction_state_pmc -0.526297 0.219132 -2.402 0.016317 *
## responsiveness_state_pmc 0.532958 0.535265 0.996 0.319401
## 0.054062 NaN NaN NaN
## 0.010815 NaN NaN NaN
## -0.499625 0.134891 -3.704 0.000212 ***
## 0.433866 0.230171 1.885 0.059433 .
## 0.685531 0.359067 1.909 0.056236 .
## -0.231118 NaN NaN NaN
## 0.440622 0.221102 1.993 0.046278 *
## -0.134390 NaN NaN NaN
## -0.680129 NaN NaN NaN
## 0.019629 0.186700 0.105 0.916269
## 0.002732 0.260240 0.010 0.991625
## 0.627207 0.533571 1.175 0.239799
## -0.598316 NaN NaN NaN
## 0.436441 0.082422 5.295 1.19e-07 ***
## 0.641292 0.202462 3.167 0.001538 **
## -0.393579 0.507364 -0.776 0.437907
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 3.507009 0.7544868 -1.198929 -1.302777
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.203 0.266 0.3772 -0.405
## [2,] -0.425 0.468 -0.2544 -0.020
## [3,] 0.758 -0.511 -0.0825 -0.409
## [4,] 0.649 -0.631 -0.5263 0.533
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.0541 -0.0108 0.49962 -0.434
## [2,] -0.6855 0.2311 -0.44062 0.134
## [3,] 0.6801 -0.0196 -0.00273 -0.627
## [4,] 0.5983 -0.4364 -0.64129 0.394
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 57.21230 16.64616 -63.61404 -36.89764
## [2,] 16.64616 100.23435 -14.34245 -13.34612
## [3,] -63.61404 -14.34245 115.02473 59.69802
## [4,] -36.89764 -13.34612 59.69802 67.55683
## ----
## aic= 16.99486
## bic= 18.15123
## Number of parameters: 36
## initial estimates: 6.2489 -4.3657 7.9096 2.487 0.3139 0.1038 -0.0591 0.0652 0.0657 0.3731 0.1222 -0.0582 -0.4006 0.2385 0.3144 -0.0534 -0.1219 0.0451 0.4274 0.1394 -0.3554 0.0489 -0.1518 -0.2827 0.4853 -0.2374 0.0391 0.1923 -0.3829 0.1717 -0.6901 0.5215 0.865 -0.1088 -0.1984 0.3269
## Par. lower-bounds: 2.1361 -10.2819 1.7873 -5.8345 -0.0054 -0.0803 -0.2569 -0.1017 -0.3936 0.1083 -0.1623 -0.2983 -0.8759 -0.0356 0.02 -0.3018 -0.768 -0.3274 0.0272 -0.1983 -1.0604 -0.4088 -0.5886 -0.6696 -0.5288 -0.8959 -0.5892 -0.3642 -1.4323 -0.5097 -1.3402 -0.0544 -0.5614 -1.0351 -1.082 -0.4559
## Par. upper-bounds: 10.3616 1.5505 14.0318 10.8085 0.6332 0.288 0.1386 0.232 0.525 0.638 0.4067 0.1818 0.0747 0.5126 0.6088 0.195 0.5242 0.4176 0.8275 0.4771 0.3496 0.5067 0.2849 0.1042 1.4995 0.4211 0.6673 0.7489 0.6666 0.8531 -0.0399 1.0974 2.2914 0.8174 0.6853 1.1097
## Final Estimates: 7.14448 -4.215732 7.560472 2.367021 0.2711308 0.2879534 -0.2568145 0.2020182 0.4406242 0.5727942 0.0187379 -0.2983052 -0.5599945 -0.01546585 0.205851 0.0924474 -0.1496824 -0.2816145 0.827525 -0.1982528 -0.1680616 -0.3508243 0.05093629 -0.1940509 -0.3409882 -0.1631876 -0.05576114 0.3389009 0.5642338 0.1846465 -0.03991768 0.0614351 0.6464857 0.3311783 -0.5984608 0.4011432## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 7.14448 5.41009 1.321 0.186640
## loneliness_state_pmc -4.21573 3.45652 -1.220 0.222599
## socintsatisfaction_state_pmc 7.56047 13.38867 0.565 0.572284
## responsiveness_state_pmc 2.36702 7.47915 0.316 0.751636
## depressedmood_state 0.27113 0.47750 0.568 0.570163
## loneliness_state_pmc 0.28795 0.10340 2.785 0.005356 **
## socintsatisfaction_state_pmc -0.25681 0.38934 -0.660 0.509505
## responsiveness_state_pmc 0.20202 NaN NaN NaN
## depressedmood_state 0.44062 0.35480 1.242 0.214271
## loneliness_state_pmc 0.57279 0.16488 3.474 0.000513 ***
## socintsatisfaction_state_pmc 0.01874 0.41267 0.045 0.963784
## responsiveness_state_pmc -0.29831 0.38824 -0.768 0.442273
## depressedmood_state -0.55999 1.24814 -0.449 0.653675
## loneliness_state_pmc -0.01547 0.25155 -0.061 0.950974
## socintsatisfaction_state_pmc 0.20585 0.51473 0.400 0.689213
## responsiveness_state_pmc 0.09245 0.14182 0.652 0.514489
## depressedmood_state -0.14968 0.65631 -0.228 0.819594
## loneliness_state_pmc -0.28161 NaN NaN NaN
## socintsatisfaction_state_pmc 0.82752 0.81010 1.022 0.307010
## responsiveness_state_pmc -0.19825 0.59035 -0.336 0.737003
## -0.16806 0.41606 -0.404 0.686262
## -0.35082 0.11908 -2.946 0.003218 **
## 0.05094 0.31942 0.159 0.873301
## -0.19405 NaN NaN NaN
## -0.34099 0.47906 -0.712 0.476598
## -0.16319 0.25563 -0.638 0.523228
## -0.05576 0.45430 -0.123 0.902312
## 0.33890 0.39716 0.853 0.393482
## 0.56423 1.38777 0.407 0.684320
## 0.18465 0.20666 0.893 0.371603
## -0.03992 0.53190 -0.075 0.940177
## 0.06144 0.26564 0.231 0.817105
## 0.64649 0.82457 0.784 0.433026
## 0.33118 NaN NaN NaN
## -0.59846 0.76565 -0.782 0.434431
## 0.40114 0.68770 0.583 0.559685
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 7.14448 -4.215732 7.560472 2.367021
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.271 0.2880 -0.2568 0.2020
## [2,] 0.441 0.5728 0.0187 -0.2983
## [3,] -0.560 -0.0155 0.2059 0.0924
## [4,] -0.150 -0.2816 0.8275 -0.1983
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.168 0.351 -0.0509 0.1941
## [2,] 0.341 0.163 0.0558 -0.3389
## [3,] -0.564 -0.185 0.0399 -0.0614
## [4,] -0.646 -0.331 0.5985 -0.4011
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 83.10583 42.30196 -35.24235 -54.15940
## [2,] 42.30196 176.99387 -40.34516 -79.10813
## [3,] -35.24235 -40.34516 260.57384 155.95398
## [4,] -54.15940 -79.10813 155.95398 318.12487
## ----
## aic= 21.28751
## bic= 22.44388
## Number of parameters: 36
## initial estimates: 15.2744 -19.1989 -2.2538 -3.9487 0.6502 0.0382 -0.0368 0.0571 0.4692 -0.045 0.0266 -0.1488 0.0482 0.1216 0.7796 -0.2186 0.0891 0.1011 -0.0156 0.7533 -0.2338 0.1531 0.4625 -0.1622 -0.1279 -0.4217 -0.0743 0.1922 -0.4468 0.722 -0.5299 0.4233 -0.5647 0.3428 -0.4319 0.2644
## Par. lower-bounds: 3.618 -34.189 -14.8047 -13.3614 0.3781 -0.2101 -0.2689 -0.204 0.1193 -0.3643 -0.2718 -0.4846 -0.2448 -0.1457 0.5298 -0.4997 -0.1306 -0.0994 -0.2029 0.5424 -0.9708 -0.3552 -0.2878 -1.0693 -1.0758 -1.0754 -1.0391 -0.9743 -1.2405 0.1747 -1.3378 -0.5534 -1.1599 -0.0677 -1.0377 -0.4681
## Par. upper-bounds: 26.9307 -4.2088 10.297 5.4641 0.9223 0.2865 0.1952 0.3182 0.8192 0.2743 0.325 0.187 0.3412 0.3889 1.0294 0.0625 0.3088 0.3016 0.1718 0.9641 0.5033 0.6614 1.2128 0.7448 0.82 0.232 0.8906 1.3586 0.3468 1.2694 0.2779 1.3999 0.0305 0.7532 0.174 0.9968
## Final Estimates: 14.98408 -19.05197 -2.333029 -4.128516 0.6400024 -0.1029296 0.1951672 0.0001198171 0.4786716 -0.1381006 0.3208126 -0.1883665 0.04008581 0.1122744 0.7547408 -0.2617611 0.09719871 -0.09935656 0.1717981 0.5567358 -0.300905 0.1291765 -0.1400558 -0.07164073 -0.3379457 -0.06960444 -0.4541814 -0.01844329 0.2074645 0.2572946 -0.2691033 0.3360889 0.03049439 0.3405809 -0.4285241 0.2544433## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 1.498e+01 NaN NaN NaN
## loneliness_state_pmc -1.905e+01 NaN NaN NaN
## socintsatisfaction_state_pmc -2.333e+00 NaN NaN NaN
## responsiveness_state_pmc -4.129e+00 NaN NaN NaN
## depressedmood_state 6.400e-01 NaN NaN NaN
## loneliness_state_pmc -1.029e-01 NaN NaN NaN
## socintsatisfaction_state_pmc 1.952e-01 NaN NaN NaN
## responsiveness_state_pmc 1.198e-04 5.967e-02 0.002 0.99840
## depressedmood_state 4.787e-01 NaN NaN NaN
## loneliness_state_pmc -1.381e-01 NaN NaN NaN
## socintsatisfaction_state_pmc 3.208e-01 6.151e-02 5.216 1.83e-07 ***
## responsiveness_state_pmc -1.884e-01 6.439e-02 -2.925 0.00344 **
## depressedmood_state 4.009e-02 NaN NaN NaN
## loneliness_state_pmc 1.123e-01 NaN NaN NaN
## socintsatisfaction_state_pmc 7.547e-01 7.581e-02 9.956 < 2e-16 ***
## responsiveness_state_pmc -2.618e-01 NaN NaN NaN
## depressedmood_state 9.720e-02 NaN NaN NaN
## loneliness_state_pmc -9.936e-02 NaN NaN NaN
## socintsatisfaction_state_pmc 1.718e-01 6.981e-02 2.461 0.01385 *
## responsiveness_state_pmc 5.567e-01 NaN NaN NaN
## -3.009e-01 NaN NaN NaN
## 1.292e-01 NaN NaN NaN
## -1.401e-01 NaN NaN NaN
## -7.164e-02 5.189e-02 -1.381 0.16742
## -3.379e-01 NaN NaN NaN
## -6.960e-02 NaN NaN NaN
## -4.542e-01 1.386e-01 -3.276 0.00105 **
## -1.844e-02 NaN NaN NaN
## 2.075e-01 NaN NaN NaN
## 2.573e-01 NaN NaN NaN
## -2.691e-01 1.120e-01 -2.403 0.01626 *
## 3.361e-01 2.715e-01 1.238 0.21579
## 3.049e-02 NaN NaN NaN
## 3.406e-01 NaN NaN NaN
## -4.285e-01 1.888e-01 -2.269 0.02324 *
## 2.544e-01 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 14.98408 -19.05197 -2.333029 -4.128516
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.6400 -0.1029 0.195 0.00012
## [2,] 0.4787 -0.1381 0.321 -0.18837
## [3,] 0.0401 0.1123 0.755 -0.26176
## [4,] 0.0972 -0.0994 0.172 0.55674
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.3009 -0.1292 0.140 0.0716
## [2,] 0.3379 0.0696 0.454 0.0184
## [3,] -0.2075 -0.2573 0.269 -0.3361
## [4,] -0.0305 -0.3406 0.429 -0.2544
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 152.13175 68.21350 -47.77932 -54.94472
## [2,] 68.21350 184.35749 -35.47603 -36.67231
## [3,] -47.77932 -35.47603 225.44246 113.04946
## [4,] -54.94472 -36.67231 113.04946 122.08591
## ----
## aic= 20.49964
## bic= 21.65601
## Number of parameters: 36
## initial estimates: 13.0378 -6.3769 4.5991 4.2441 0.3209 -0.0556 -0.271 0.2383 0.3373 -0.4007 -0.3535 0.0562 -0.234 0.2223 0.7942 -0.027 -0.1689 0.3009 0.482 0.4426 -0.7828 0.6321 0.9568 -0.1882 -0.6395 0.8657 1.0003 -0.0429 -0.0117 -0.0132 -0.0507 0.104 0.2838 -0.4178 -0.6075 -0.2182
## Par. lower-bounds: 5.6835 -14.54 -0.2106 -5.5722 -0.0427 -0.4059 -0.5366 0.0469 -0.0663 -0.7894 -0.6484 -0.1562 -0.4718 -0.0067 0.6205 -0.1521 -0.6543 -0.1666 0.1274 0.1872 -1.5065 -0.1832 0.1806 -0.8176 -1.4428 -0.0392 0.1387 -0.7415 -0.4851 -0.5464 -0.5583 -0.3076 -0.6822 -1.506 -1.6435 -1.0583
## Par. upper-bounds: 20.3922 1.7863 9.4088 14.0604 0.6846 0.2946 -0.0053 0.4296 0.7409 -0.0119 -0.0586 0.2686 0.0039 0.4514 0.968 0.0982 0.3165 0.7684 0.8366 0.698 -0.059 1.4473 1.7329 0.4411 0.1639 1.7706 1.8618 0.6557 0.4616 0.52 0.4569 0.5156 1.2499 0.6704 0.4285 0.6218
## Final Estimates: 12.57531 -5.849766 7.304657 2.988791 0.3391993 0.1300815 -0.3371136 0.411512 0.3349387 -0.3180519 -0.5486233 0.2685513 -0.3702599 0.4513753 0.7742847 -0.1521012 -0.1420036 0.4177669 0.3974546 0.2916015 -0.2969083 -0.05404369 0.2695168 -0.3327075 -0.1312036 -0.03921081 0.7203191 -0.3381745 0.3118138 -0.3862956 -0.1517731 0.1738929 0.1299714 -0.1286508 -0.03756904 0.3058355## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 12.57531 NaN NaN NaN
## loneliness_state_pmc -5.84977 4.22035 -1.386 0.1657
## socintsatisfaction_state_pmc 7.30466 4.91820 1.485 0.1375
## responsiveness_state_pmc 2.98879 NaN NaN NaN
## depressedmood_state 0.33920 NaN NaN NaN
## loneliness_state_pmc 0.13008 0.33505 0.388 0.6978
## socintsatisfaction_state_pmc -0.33711 0.18451 -1.827 0.0677 .
## responsiveness_state_pmc 0.41151 NaN NaN NaN
## depressedmood_state 0.33494 0.22216 1.508 0.1316
## loneliness_state_pmc -0.31805 0.34820 -0.913 0.3610
## socintsatisfaction_state_pmc -0.54862 0.23385 -2.346 0.0190 *
## responsiveness_state_pmc 0.26855 0.22677 1.184 0.2363
## depressedmood_state -0.37026 0.26316 -1.407 0.1594
## loneliness_state_pmc 0.45138 0.23500 1.921 0.0548 .
## socintsatisfaction_state_pmc 0.77428 NaN NaN NaN
## responsiveness_state_pmc -0.15210 NaN NaN NaN
## depressedmood_state -0.14200 NaN NaN NaN
## loneliness_state_pmc 0.41777 0.38314 1.090 0.2755
## socintsatisfaction_state_pmc 0.39745 NaN NaN NaN
## responsiveness_state_pmc 0.29160 0.25770 1.132 0.2578
## -0.29691 NaN NaN NaN
## -0.05404 0.33055 -0.163 0.8701
## 0.26952 0.33361 0.808 0.4192
## -0.33271 NaN NaN NaN
## -0.13120 NaN NaN NaN
## -0.03921 0.33067 -0.119 0.9056
## 0.72032 0.28966 2.487 0.0129 *
## -0.33817 0.26789 -1.262 0.2068
## 0.31181 0.27798 1.122 0.2620
## -0.38630 0.21242 -1.819 0.0690 .
## -0.15177 NaN NaN NaN
## 0.17389 NaN NaN NaN
## 0.12997 NaN NaN NaN
## -0.12865 0.36828 -0.349 0.7268
## -0.03757 NaN NaN NaN
## 0.30584 0.27088 1.129 0.2589
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 12.57531 -5.849766 7.304657 2.988791
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.339 0.130 -0.337 0.412
## [2,] 0.335 -0.318 -0.549 0.269
## [3,] -0.370 0.451 0.774 -0.152
## [4,] -0.142 0.418 0.397 0.292
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.297 0.0540 -0.2695 0.333
## [2,] 0.131 0.0392 -0.7203 0.338
## [3,] -0.312 0.3863 0.1518 -0.174
## [4,] -0.130 0.1287 0.0376 -0.306
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 53.082277 33.1219803 -7.2242308 -19.124287
## [2,] 33.121980 57.5961630 -0.3354033 -25.504106
## [3,] -7.224231 -0.3354033 31.1295353 -4.333951
## [4,] -19.124287 -25.5041063 -4.3339511 77.387827
## ----
## aic= 16.16679
## bic= 17.32316
## Number of parameters: 36
## initial estimates: 29.6924 -1.7138 18.5941 9.6758 0.3235 -0.2132 0.2688 -0.3701 0.0431 -0.0861 0.1951 -0.2832 -0.433 0.1191 -0.1971 0.2327 -0.2232 -0.057 -0.1634 0.1665 0.4281 -0.4514 -0.3595 0.0126 1.4598 -0.9554 -0.6106 -0.4362 0.3892 0.0068 0.2941 0.166 0.1695 0.3658 0.0955 0.6399
## Par. lower-bounds: 13.5068 -20.0233 -1.0842 -6.4714 -0.0326 -0.5593 -0.0895 -0.7474 -0.3597 -0.4777 -0.2101 -0.71 -0.8659 -0.3018 -0.6326 -0.2261 -0.5784 -0.4023 -0.5208 -0.21 -0.6716 -1.2661 -1.0129 -0.7938 0.2158 -1.8771 -1.3498 -1.3484 -0.9478 -0.9837 -0.5004 -0.8144 -0.9276 -0.447 -0.5564 -0.1646
## Par. upper-bounds: 45.878 16.5957 38.2725 25.823 0.6796 0.133 0.627 0.0073 0.4459 0.3055 0.6003 0.1437 0 0.5399 0.2384 0.6915 0.132 0.2884 0.194 0.5429 1.5278 0.3634 0.294 0.819 2.7039 -0.0338 0.1286 0.476 1.7263 0.9974 1.0886 1.1464 1.2667 1.1785 0.7475 1.4443
## Final Estimates: 29.55262 -1.413436 18.60859 9.763958 0.3267958 0.1329653 0.6075778 -0.2614515 0.01698397 0.2870596 0.6003408 0.1340754 -0.4313566 -0.2876047 0.2384298 -0.2243441 -0.2335381 0.02286605 0.193727 -0.1983788 -0.3453002 -0.7687236 -0.6163592 -0.1933543 0.224394 -0.7759675 -0.5080871 -0.6019958 0.7435157 0.605194 -0.01974963 0.444815 0.3665564 0.3138826 -0.1301482 0.7051928## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 29.55262 17.06810 1.731 0.08337 .
## loneliness_state_pmc -1.41344 6.54940 -0.216 0.82913
## socintsatisfaction_state_pmc 18.60859 5.59431 3.326 0.00088 ***
## responsiveness_state_pmc 9.76396 20.49283 0.476 0.63375
## depressedmood_state 0.32680 0.46821 0.698 0.48520
## loneliness_state_pmc 0.13297 NaN NaN NaN
## socintsatisfaction_state_pmc 0.60758 0.45573 1.333 0.18247
## responsiveness_state_pmc -0.26145 0.60768 -0.430 0.66702
## depressedmood_state 0.01698 0.15880 0.107 0.91483
## loneliness_state_pmc 0.28706 0.20675 1.388 0.16501
## socintsatisfaction_state_pmc 0.60034 1.06687 0.563 0.57363
## responsiveness_state_pmc 0.13408 2.20590 0.061 0.95153
## depressedmood_state -0.43136 0.18504 -2.331 0.01974 *
## loneliness_state_pmc -0.28760 NaN NaN NaN
## socintsatisfaction_state_pmc 0.23843 1.65750 0.144 0.88562
## responsiveness_state_pmc -0.22434 2.08644 -0.108 0.91437
## depressedmood_state -0.23354 0.42202 -0.553 0.58000
## loneliness_state_pmc 0.02287 0.90052 0.025 0.97974
## socintsatisfaction_state_pmc 0.19373 0.15369 1.261 0.20749
## responsiveness_state_pmc -0.19838 0.37008 -0.536 0.59193
## -0.34530 0.26088 -1.324 0.18564
## -0.76872 NaN NaN NaN
## -0.61636 0.59871 -1.029 0.30325
## -0.19335 0.55538 -0.348 0.72773
## 0.22439 NaN NaN NaN
## -0.77597 0.16878 -4.598 4.28e-06 ***
## -0.50809 1.60917 -0.316 0.75220
## -0.60200 2.12835 -0.283 0.77729
## 0.74352 0.31281 2.377 0.01746 *
## 0.60519 NaN NaN NaN
## -0.01975 2.03966 -0.010 0.99227
## 0.44482 1.97437 0.225 0.82175
## 0.36656 0.74970 0.489 0.62488
## 0.31388 1.02297 0.307 0.75897
## -0.13015 0.23239 -0.560 0.57544
## 0.70519 0.33209 2.123 0.03371 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 29.55262 -1.413436 18.60859 9.763958
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.327 0.1330 0.608 -0.261
## [2,] 0.017 0.2871 0.600 0.134
## [3,] -0.431 -0.2876 0.238 -0.224
## [4,] -0.234 0.0229 0.194 -0.198
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.345 0.769 0.6164 0.193
## [2,] -0.224 0.776 0.5081 0.602
## [3,] -0.744 -0.605 0.0197 -0.445
## [4,] -0.367 -0.314 0.1301 -0.705
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 187.52840 95.59269 -117.9966 -71.16213
## [2,] 95.59269 224.09371 -153.2859 -119.42315
## [3,] -117.99660 -153.28590 364.5697 153.21765
## [4,] -71.16213 -119.42315 153.2177 230.92618
## ----
## aic= 21.90634
## bic= 23.06271
## Number of parameters: 36
## initial estimates: 19.5564 -10.647 5.2684 2.6874 0.4511 0.5769 0.422 -0.2429 0.2332 0.2067 0.1307 0.0566 -0.0658 -0.2056 0.4607 -0.0445 -0.0785 -0.2805 -0.1624 0.6224 -0.5915 -0.771 -1.1374 1.5171 -0.0719 -0.6554 -0.7823 -0.1276 -0.2012 0.1991 0.0868 0.1357 -0.1522 0.172 -0.2072 0.5168
## Par. lower-bounds: 8.116 -17.6235 -3.9977 -2.2014 0.1955 0.0959 0.045 -0.755 0.0773 -0.0866 -0.0992 -0.2557 -0.2728 -0.5951 0.1554 -0.4593 -0.1878 -0.486 -0.3235 0.4036 -1.3274 -1.8033 -2.0349 -0.0264 -0.5206 -1.2849 -1.3297 -1.0689 -0.7972 -0.637 -0.6402 -1.1145 -0.4667 -0.2691 -0.5908 -0.1428
## Par. upper-bounds: 30.9967 -3.6704 14.5344 7.5763 0.7067 1.0578 0.799 0.2692 0.3891 0.4999 0.3606 0.3689 0.1413 0.1839 0.766 0.3702 0.0307 -0.075 -0.0013 0.8413 0.1443 0.2613 -0.2398 3.0606 0.3769 -0.0259 -0.235 0.8137 0.3948 1.0352 0.8137 1.3858 0.1622 0.6131 0.1763 1.1764
## Final Estimates: 19.54718 -10.65558 5.239249 2.710292 0.4712974 0.9449149 0.38182 -0.5957805 0.2697759 0.401966 0.1479958 0.1063528 -0.1174673 -0.1050781 0.5429315 -0.4019947 -0.098463 -0.4532098 -0.1923112 0.4035939 -0.3610114 -0.8054268 -0.6581071 1.345578 -0.1342457 -0.4524158 -0.6321682 0.3074656 -0.1691337 0.05289429 0.09070854 0.211034 0.008422106 0.4076102 0.1763466 0.0412263
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 19.547178 10.759108 1.817 0.06925 .
## loneliness_state_pmc -10.655575 4.773283 -2.232 0.02559 *
## socintsatisfaction_state_pmc 5.239249 5.069108 1.034 0.30134
## responsiveness_state_pmc 2.710292 4.244122 0.639 0.52308
## depressedmood_state 0.471297 0.339130 1.390 0.16461
## loneliness_state_pmc 0.944915 0.528685 1.787 0.07389 .
## socintsatisfaction_state_pmc 0.381820 0.349029 1.094 0.27398
## responsiveness_state_pmc -0.595780 0.823635 -0.723 0.46946
## depressedmood_state 0.269776 0.123199 2.190 0.02854 *
## loneliness_state_pmc 0.401966 0.186363 2.157 0.03101 *
## socintsatisfaction_state_pmc 0.147996 0.113626 1.302 0.19275
## responsiveness_state_pmc 0.106353 0.355183 0.299 0.76461
## depressedmood_state -0.117467 0.151071 -0.778 0.43683
## loneliness_state_pmc -0.105078 0.109613 -0.959 0.33775
## socintsatisfaction_state_pmc 0.542931 0.112078 4.844 1.27e-06 ***
## responsiveness_state_pmc -0.401995 0.758580 -0.530 0.59616
## depressedmood_state -0.098463 0.121119 -0.813 0.41625
## loneliness_state_pmc -0.453210 0.321792 -1.408 0.15901
## socintsatisfaction_state_pmc -0.192311 0.142974 -1.345 0.17860
## responsiveness_state_pmc 0.403594 0.210782 1.915 0.05552 .
## -0.361011 0.417641 -0.864 0.38737
## -0.805427 0.569358 -1.415 0.15718
## -0.658107 0.474531 -1.387 0.16549
## 1.345578 1.081371 1.244 0.21338
## -0.134246 0.137304 -0.978 0.32821
## -0.452416 0.221655 -2.041 0.04124 *
## -0.632168 0.222833 -2.837 0.00455 **
## 0.307466 0.493970 0.622 0.53365
## -0.169134 0.253739 -0.667 0.50505
## 0.052894 0.184460 0.287 0.77430
## 0.090709 0.156295 0.580 0.56167
## 0.211034 0.929589 0.227 0.82041
## 0.008422 0.090070 0.094 0.92550
## 0.407610 0.197296 2.066 0.03883 *
## 0.176347 0.171472 1.028 0.30375
## 0.041226 0.284781 0.145 0.88490
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 19.54718 -10.65558 5.239249 2.710292
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.4713 0.945 0.382 -0.596
## [2,] 0.2698 0.402 0.148 0.106
## [3,] -0.1175 -0.105 0.543 -0.402
## [4,] -0.0985 -0.453 -0.192 0.404
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.36101 0.8054 0.6581 -1.3456
## [2,] 0.13425 0.4524 0.6322 -0.3075
## [3,] 0.16913 -0.0529 -0.0907 -0.2110
## [4,] -0.00842 -0.4076 -0.1763 -0.0412
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 382.869095 125.31464 -103.3711 7.715774
## [2,] 125.314641 264.39128 -126.1509 -33.873021
## [3,] -103.371086 -126.15087 313.2598 136.279124
## [4,] 7.715774 -33.87302 136.2791 129.207140
## ----
## aic= 22.01597
## bic= 23.17234
## Number of parameters: 36
## initial estimates: 5.3527 1.6016 -0.4478 1.3345 -0.0196 0.0745 0.0917 -0.3201 -0.2918 0.0699 -0.0306 -0.2516 -0.0849 0.1924 -0.2106 0.2494 -0.152 0.2302 -0.2516 0.1954 -0.4222 0.1753 -0.01 0.5291 0.2173 -0.1597 -0.1124 0.1146 0.5133 0.2954 0.4833 0.0341 0.2633 -0.1646 0.2347 -0.5238
## Par. lower-bounds: 2.8731 -1.4515 -5.878 -2.8815 -0.3659 -0.2021 -0.0923 -0.5373 -0.7182 -0.2706 -0.2572 -0.5191 -0.8432 -0.4133 -0.6135 -0.2264 -0.7407 -0.24 -0.5644 -0.174 -1.1292 -0.5234 -0.3141 0.0474 -0.6533 -1.02 -0.4868 -0.4785 -1.035 -1.2347 -0.1826 -1.0207 -0.9388 -1.3525 -0.2822 -1.3427
## Par. upper-bounds: 7.8324 4.6547 4.9824 5.5504 0.3266 0.3511 0.2757 -0.1028 0.1345 0.4105 0.1959 0.016 0.6734 0.7981 0.1923 0.7252 0.4367 0.7005 0.0612 0.5648 0.2849 0.8741 0.2941 1.0107 1.0878 0.7006 0.2619 0.7076 2.0616 1.8255 1.1492 1.0888 1.4655 1.0234 0.7517 0.2951
## Final Estimates: 5.440847 1.578081 -0.4251226 1.348513 0.09807073 0.3511137 -0.09227519 -0.5067828 -0.2542107 0.2207021 0.1959093 -0.4932948 -0.2156316 -0.2574351 -0.613526 0.2211949 -0.1060571 0.7005069 -0.2778678 0.4188563 -0.08868805 -0.4540255 0.1768801 0.3702337 0.2938765 -0.3119821 -0.3985664 0.7076284 0.7178618 0.5747188 0.5376797 0.1066002 0.2024615 -0.9215926 0.04419867 -0.5877786## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 5.440847 0.104103 52.264 < 2e-16 ***
## loneliness_state_pmc 1.578081 1.060070 1.489 0.1366
## socintsatisfaction_state_pmc -0.425123 NaN NaN NaN
## responsiveness_state_pmc 1.348513 1.332284 1.012 0.3115
## depressedmood_state 0.098071 0.006246 15.702 < 2e-16 ***
## loneliness_state_pmc 0.351114 0.056446 6.220 4.96e-10 ***
## socintsatisfaction_state_pmc -0.092275 NaN NaN NaN
## responsiveness_state_pmc -0.506783 0.092812 -5.460 4.75e-08 ***
## depressedmood_state -0.254211 0.024190 -10.509 < 2e-16 ***
## loneliness_state_pmc 0.220702 0.090266 2.445 0.0145 *
## socintsatisfaction_state_pmc 0.195909 0.034643 5.655 1.56e-08 ***
## responsiveness_state_pmc -0.493295 0.080197 -6.151 7.70e-10 ***
## depressedmood_state -0.215632 NaN NaN NaN
## loneliness_state_pmc -0.257435 NaN NaN NaN
## socintsatisfaction_state_pmc -0.613526 NaN NaN NaN
## responsiveness_state_pmc 0.221195 0.130395 1.696 0.0898 .
## depressedmood_state -0.106057 0.105648 -1.004 0.3154
## loneliness_state_pmc 0.700507 0.094236 7.434 1.06e-13 ***
## socintsatisfaction_state_pmc -0.277868 NaN NaN NaN
## responsiveness_state_pmc 0.418856 0.106423 3.936 8.29e-05 ***
## -0.088688 NaN NaN NaN
## -0.454025 0.071429 -6.356 2.07e-10 ***
## 0.176880 NaN NaN NaN
## 0.370234 0.065907 5.618 1.94e-08 ***
## 0.293877 NaN NaN NaN
## -0.311982 0.100978 -3.090 0.0020 **
## -0.398566 NaN NaN NaN
## 0.707628 0.039594 17.872 < 2e-16 ***
## 0.717862 0.110037 6.524 6.85e-11 ***
## 0.574719 0.075673 7.595 3.09e-14 ***
## 0.537680 NaN NaN NaN
## 0.106600 NaN NaN NaN
## 0.202461 0.130255 1.554 0.1201
## -0.921593 0.109045 -8.452 < 2e-16 ***
## 0.044199 NaN NaN NaN
## -0.587779 0.065027 -9.039 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 5.440847 1.578081 -0.4251226 1.348513
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0981 0.351 -0.0923 -0.507
## [2,] -0.2542 0.221 0.1959 -0.493
## [3,] -0.2156 -0.257 -0.6135 0.221
## [4,] -0.1061 0.701 -0.2779 0.419
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0887 0.454 -0.1769 -0.370
## [2,] -0.2939 0.312 0.3986 -0.708
## [3,] -0.7179 -0.575 -0.5377 -0.107
## [4,] -0.2025 0.922 -0.0442 0.588
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 39.73272 24.30338 -18.63321 -22.90454
## [2,] 24.30338 50.18901 -33.90703 -25.73072
## [3,] -18.63321 -33.90703 229.60329 66.20788
## [4,] -22.90454 -25.73072 66.20788 107.09201
## ----
## aic= 17.97316
## bic= 19.12953
## Number of parameters: 36
## initial estimates: 7.8298 -2.2349 0.7238 -2.0431 0.2838 -0.165 0.1223 0.0266 0.2367 0.0835 0.1433 -0.0371 -0.0892 -0.1914 0.2055 0.2311 0.1137 -0.2255 0.1282 0.4345 -0.2265 0.643 -0.3751 -0.1075 0.0201 -0.512 -0.6385 0.1669 0.9316 -0.3271 -0.2974 -0.2635 -0.5614 0.8204 0.1287 -0.3045
## Par. lower-bounds: 3.7516 -5.9149 -3.94 -4.9898 -0.0361 -0.5292 -0.1315 -0.3513 -0.0519 -0.2452 -0.0857 -0.3781 -0.455 -0.608 -0.0847 -0.2011 -0.1175 -0.4887 -0.0552 0.1614 -1.0321 -0.1913 -0.9523 -0.829 -0.7069 -1.2649 -1.1594 -0.4841 0.0103 -1.2811 -0.9575 -1.0885 -1.1435 0.2176 -0.2884 -0.8258
## Par. upper-bounds: 11.9081 1.4452 5.3875 0.9037 0.6037 0.1993 0.376 0.4045 0.5254 0.4122 0.3723 0.304 0.2766 0.2251 0.4957 0.6632 0.3448 0.0377 0.3116 0.7076 0.5792 1.4773 0.2021 0.6139 0.747 0.2408 -0.1177 0.8179 1.8529 0.627 0.3626 0.5615 0.0208 1.4233 0.5457 0.2168
## Final Estimates: 8.12924 -2.057479 1.020724 -1.819124 0.297592 -0.4770411 0.3760433 0.1055691 0.1568802 0.4103019 0.3445491 -0.3449338 -0.08587255 0.2207844 -0.05797398 0.5044786 0.1545509 -0.4169805 -0.02924242 0.6757657 -0.03974531 0.508374 -0.3992661 -0.09289401 -0.1010457 -0.8311545 -0.4294867 0.3978156 0.2847278 -0.5184514 0.3626026 -0.4667792 -0.1015481 0.4335877 0.1736809 -0.2353882## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 8.12924 4.10715 1.979 0.047783 *
## loneliness_state_pmc -2.05748 0.19595 -10.500 < 2e-16 ***
## socintsatisfaction_state_pmc 1.02072 3.05745 0.334 0.738494
## responsiveness_state_pmc -1.81912 2.66821 -0.682 0.495381
## depressedmood_state 0.29759 0.39216 0.759 0.447946
## loneliness_state_pmc -0.47704 0.36899 -1.293 0.196068
## socintsatisfaction_state_pmc 0.37604 NaN NaN NaN
## responsiveness_state_pmc 0.10557 0.04739 2.228 0.025908 *
## depressedmood_state 0.15688 0.05340 2.938 0.003306 **
## loneliness_state_pmc 0.41030 0.08909 4.606 4.11e-06 ***
## socintsatisfaction_state_pmc 0.34455 0.13265 2.598 0.009390 **
## responsiveness_state_pmc -0.34493 0.08458 -4.078 4.54e-05 ***
## depressedmood_state -0.08587 0.33432 -0.257 0.797288
## loneliness_state_pmc 0.22078 0.25250 0.874 0.381896
## socintsatisfaction_state_pmc -0.05797 0.42439 -0.137 0.891344
## responsiveness_state_pmc 0.50448 0.24446 2.064 0.039051 *
## depressedmood_state 0.15455 0.23928 0.646 0.518344
## loneliness_state_pmc -0.41698 0.23033 -1.810 0.070239 .
## socintsatisfaction_state_pmc -0.02924 0.22531 -0.130 0.896735
## responsiveness_state_pmc 0.67577 0.19505 3.465 0.000531 ***
## -0.03975 0.34444 -0.115 0.908136
## 0.50837 0.45107 1.127 0.259725
## -0.39927 0.18312 -2.180 0.029232 *
## -0.09289 0.13964 -0.665 0.505892
## -0.10105 0.08896 -1.136 0.256019
## -0.83115 0.08778 -9.469 < 2e-16 ***
## -0.42949 0.06255 -6.866 6.61e-12 ***
## 0.39782 0.11885 3.347 0.000816 ***
## 0.28473 0.33724 0.844 0.398503
## -0.51845 0.27540 -1.883 0.059764 .
## 0.36260 0.34765 1.043 0.296937
## -0.46678 0.44149 -1.057 0.290378
## -0.10155 0.24944 -0.407 0.683930
## 0.43359 0.22434 1.933 0.053268 .
## 0.17368 0.23259 0.747 0.455231
## -0.23539 0.22685 -1.038 0.299447
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 8.12924 -2.057479 1.020724 -1.819124
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.2976 -0.477 0.3760 0.106
## [2,] 0.1569 0.410 0.3445 -0.345
## [3,] -0.0859 0.221 -0.0580 0.504
## [4,] 0.1546 -0.417 -0.0292 0.676
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0397 -0.508 0.399 0.0929
## [2,] 0.1010 0.831 0.429 -0.3978
## [3,] -0.2847 0.518 -0.363 0.4668
## [4,] 0.1015 -0.434 -0.174 0.2354
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 71.200396 27.689270 -28.308430 -8.596255
## [2,] 27.689270 55.370744 -12.559093 -8.227644
## [3,] -28.308430 -12.559093 106.330165 2.749418
## [4,] -8.596255 -8.227644 2.749418 36.482645
## ----
## aic= 17.19852
## bic= 18.35489
## Number of parameters: 36
## initial estimates: 21.5572 -11.2679 3.828 3.1249 0.3468 0.2701 0.0225 -0.0814 0.3329 0.0093 -0.0709 -0.1105 -0.0838 0.2167 0.3608 0.1284 -0.1116 0.1189 0.1379 0.4429 -0.4525 -1.0306 -0.2331 0.0421 -0.0201 -0.6249 -0.3272 0.13 0.1747 2.0293 0.0176 1.2257 0.0953 0.7282 0.0049 0.3077
## Par. lower-bounds: 10.2212 -22.914 -13.3165 -8.0649 0.0085 -0.1088 -0.1972 -0.4025 -0.0147 -0.38 -0.2966 -0.4404 -0.5954 -0.3564 0.0285 -0.3572 -0.4455 -0.2552 -0.0789 0.126 -1.1418 -1.8467 -0.6477 -0.7944 -0.7283 -1.4634 -0.7532 -0.7293 -0.8679 0.795 -0.6095 -0.0394 -0.5852 -0.0774 -0.4044 -0.518
## Par. upper-bounds: 32.8932 0.3782 20.9726 14.3147 0.6851 0.6491 0.2422 0.2397 0.6804 0.3986 0.1547 0.2194 0.4279 0.7898 0.693 0.6141 0.2223 0.4929 0.3548 0.7599 0.2369 -0.2145 0.1815 0.8786 0.6882 0.2135 0.0987 0.9894 1.2173 3.2635 0.6446 2.4908 0.7757 1.5338 0.4142 1.1334
## Final Estimates: 21.5554 -11.27089 3.83089 3.109498 0.3547603 0.4495292 0.1235451 0.0156803 0.3238795 -0.02703202 0.00576668 -0.3058549 -0.1597772 -0.2225208 0.2586852 -0.1897901 -0.1386221 -0.1145923 -0.07894221 0.2410287 -0.1526826 -0.5414606 -0.2168407 -0.1300623 0.05720633 -0.2952728 -0.20434 0.2414734 -0.07016119 1.616847 0.3013483 0.9904203 0.03587667 0.7281834 0.3392501 0.6813354## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 21.555398 NaN NaN NaN
## loneliness_state_pmc -11.270894 6.573189 -1.715 0.086405 .
## socintsatisfaction_state_pmc 3.830890 16.081476 0.238 0.811712
## responsiveness_state_pmc 3.109498 NaN NaN NaN
## depressedmood_state 0.354760 NaN NaN NaN
## loneliness_state_pmc 0.449529 0.121873 3.688 0.000226 ***
## socintsatisfaction_state_pmc 0.123545 0.182112 0.678 0.497516
## responsiveness_state_pmc 0.015680 0.254458 0.062 0.950864
## depressedmood_state 0.323880 0.194056 1.669 0.095117 .
## loneliness_state_pmc -0.027032 0.198486 -0.136 0.891670
## socintsatisfaction_state_pmc 0.005767 NaN NaN NaN
## responsiveness_state_pmc -0.305855 0.146509 -2.088 0.036833 *
## depressedmood_state -0.159777 0.513276 -0.311 0.755581
## loneliness_state_pmc -0.222521 0.221666 -1.004 0.315449
## socintsatisfaction_state_pmc 0.258685 NaN NaN NaN
## responsiveness_state_pmc -0.189790 NaN NaN NaN
## depressedmood_state -0.138622 NaN NaN NaN
## loneliness_state_pmc -0.114592 NaN NaN NaN
## socintsatisfaction_state_pmc -0.078942 0.100001 -0.789 0.429871
## responsiveness_state_pmc 0.241029 0.099102 2.432 0.015010 *
## -0.152683 NaN NaN NaN
## -0.541461 0.135964 -3.982 6.82e-05 ***
## -0.216841 0.195961 -1.107 0.268489
## -0.130062 0.340351 -0.382 0.702357
## 0.057206 0.256635 0.223 0.823606
## -0.295273 0.160497 -1.840 0.065806 .
## -0.204340 NaN NaN NaN
## 0.241473 NaN NaN NaN
## -0.070161 0.593427 -0.118 0.905885
## 1.616847 0.177041 9.133 < 2e-16 ***
## 0.301348 NaN NaN NaN
## 0.990420 NaN NaN NaN
## 0.035877 NaN NaN NaN
## 0.728183 0.124880 5.831 5.51e-09 ***
## 0.339250 0.087950 3.857 0.000115 ***
## 0.681335 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 21.5554 -11.27089 3.83089 3.109498
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.355 0.450 0.12355 0.0157
## [2,] 0.324 -0.027 0.00577 -0.3059
## [3,] -0.160 -0.223 0.25869 -0.1898
## [4,] -0.139 -0.115 -0.07894 0.2410
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1527 0.541 0.217 0.130
## [2,] -0.0572 0.295 0.204 -0.241
## [3,] 0.0702 -1.617 -0.301 -0.990
## [4,] -0.0359 -0.728 -0.339 -0.681
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 112.82202 54.02270 -65.04019 -31.31968
## [2,] 54.02270 80.72579 -51.18407 -35.91057
## [3,] -65.04019 -51.18407 221.92121 52.89135
## [4,] -31.31968 -35.91057 52.89135 54.82240
## ----
## aic= 18.46161
## bic= 19.61798
## Number of parameters: 36
## initial estimates: 26.4685 -9.1507 4.3435 -7.0775 0.0348 0.1468 -0.1842 -0.0828 0.3173 -0.0712 -0.0304 -0.0111 -0.2055 0.0711 0.5083 0.1487 0.246 -0.2102 -0.0664 0.6598 0.2883 -0.3703 0.2105 0.0371 0.2557 -0.2404 0.357 0.0687 -0.0556 -0.5726 -0.2087 -0.4402 -0.2378 -0.0381 -4e-04 -0.301
## Par. lower-bounds: 16.2355 -18.8791 -10.6823 -16.9108 -0.3357 -0.186 -0.3817 -0.3535 -0.0349 -0.3876 -0.2181 -0.2685 -0.7496 -0.4175 0.2184 -0.2489 -0.11 -0.53 -0.2562 0.3996 -0.39 -1.0965 -0.3267 -0.5917 -0.3892 -0.9308 -0.1537 -0.5291 -1.0515 -1.6389 -0.9975 -1.3636 -0.8895 -0.7359 -0.5166 -0.9053
## Par. upper-bounds: 36.7014 0.5777 19.3693 2.7558 0.4054 0.4796 0.0132 0.188 0.6696 0.2452 0.1573 0.2464 0.3386 0.5598 0.7982 0.5463 0.6021 0.1096 0.1233 0.92 0.9665 0.3559 0.7476 0.666 0.9005 0.45 0.8677 0.6665 0.9404 0.4938 0.58 0.4831 0.414 0.6598 0.5158 0.3033
## Final Estimates: 27.37397 -7.134892 6.008559 -10.61024 -0.01704779 0.4795786 -0.3008047 -0.018707 0.2623664 0.2451562 0.07335168 -0.2684847 -0.2320426 0.223713 0.6552944 0.3546389 0.4054069 0.1095672 0.1233191 0.6619031 0.198696 -0.6754846 0.2769433 -0.1519883 -0.003338592 -0.4806352 -0.0582008 0.3724269 -0.1380129 -0.2245979 -0.2883382 -0.4841262 -0.357678 -0.1606223 -0.2723238 -0.2004305## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 27.373966 20.251823 1.352 0.176478
## loneliness_state_pmc -7.134892 1.428517 -4.995 5.9e-07 ***
## socintsatisfaction_state_pmc 6.008559 26.940284 0.223 0.823510
## responsiveness_state_pmc -10.610243 6.748341 -1.572 0.115887
## depressedmood_state -0.017048 0.756899 -0.023 0.982031
## loneliness_state_pmc 0.479579 0.287768 1.667 0.095604 .
## socintsatisfaction_state_pmc -0.300805 0.278872 -1.079 0.280745
## responsiveness_state_pmc -0.018707 0.167744 -0.112 0.911203
## depressedmood_state 0.262366 NaN NaN NaN
## loneliness_state_pmc 0.245156 0.214776 1.141 0.253682
## socintsatisfaction_state_pmc 0.073352 0.081164 0.904 0.366128
## responsiveness_state_pmc -0.268485 0.093034 -2.886 0.003903 **
## depressedmood_state -0.232043 1.020272 -0.227 0.820088
## loneliness_state_pmc 0.223713 NaN NaN NaN
## socintsatisfaction_state_pmc 0.655294 0.434255 1.509 0.131297
## responsiveness_state_pmc 0.354639 0.238578 1.486 0.137155
## depressedmood_state 0.405407 0.250059 1.621 0.104965
## loneliness_state_pmc 0.109567 NaN NaN NaN
## socintsatisfaction_state_pmc 0.123319 0.129209 0.954 0.339873
## responsiveness_state_pmc 0.661903 0.177999 3.719 0.000200 ***
## 0.198696 0.719807 0.276 0.782517
## -0.675485 0.190373 -3.548 0.000388 ***
## 0.276943 0.349147 0.793 0.427661
## -0.151988 0.268566 -0.566 0.571444
## -0.003339 0.382421 -0.009 0.993034
## -0.480635 0.161626 -2.974 0.002942 **
## -0.058201 0.150436 -0.387 0.698844
## 0.372427 0.040484 9.199 < 2e-16 ***
## -0.138013 1.272185 -0.108 0.913611
## -0.224598 NaN NaN NaN
## -0.288338 0.564055 -0.511 0.609219
## -0.484126 0.332897 -1.454 0.145868
## -0.357678 0.268195 -1.334 0.182319
## -0.160622 NaN NaN NaN
## -0.272324 0.133274 -2.043 0.041019 *
## -0.200431 0.193784 -1.034 0.300998
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 27.37397 -7.134892 6.008559 -10.61024
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.017 0.480 -0.3008 -0.0187
## [2,] 0.262 0.245 0.0734 -0.2685
## [3,] -0.232 0.224 0.6553 0.3546
## [4,] 0.405 0.110 0.1233 0.6619
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.19870 0.675 -0.2769 0.152
## [2,] 0.00334 0.481 0.0582 -0.372
## [3,] 0.13801 0.225 0.2883 0.484
## [4,] 0.35768 0.161 0.2723 0.200
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 39.76496 16.635758 -27.374863 -20.54865
## [2,] 16.63576 52.310336 -5.968715 -17.62869
## [3,] -27.37486 -5.968715 93.359362 28.91497
## [4,] -20.54865 -17.628690 28.914974 50.78685
## ----
## aic= 16.38232
## bic= 17.53869
## Number of parameters: 36
## initial estimates: 22.5453 4.8118 -1.8957 -1.1409 -0.1478 -0.138 0.1511 -0.0913 -0.3083 0.0879 -0.0168 -0.0434 -0.0154 -0.0512 0.9021 -0.0044 0.078 -0.0801 0.0759 0.9014 0.2029 -0.0372 0.5954 -0.295 1.1963 -0.9247 1.5233 -0.4731 0.1406 -0.0581 -1.6107 1.1793 -0.1267 0.0893 -0.558 0.2193
## Par. lower-bounds: 16.3618 -2.7989 -5.8183 -4.2668 -0.4415 -0.3613 -0.007 -0.2714 -0.6697 -0.1868 -0.2114 -0.2651 -0.2017 -0.1928 0.8018 -0.1187 -0.0704 -0.1929 -0.0041 0.8103 -0.6008 -0.5982 -0.6815 -1.8726 0.2072 -1.6152 -0.0484 -2.4147 -0.3692 -0.414 -2.4207 0.1786 -0.533 -0.1943 -1.2035 -0.5781
## Par. upper-bounds: 28.7287 12.4224 2.0268 1.9849 0.1459 0.0853 0.3093 0.0889 0.0532 0.3627 0.1779 0.1783 0.1709 0.0905 1.0024 0.1098 0.2265 0.0328 0.1558 0.9924 1.0065 0.5238 1.8724 1.2825 2.1855 -0.2342 3.095 1.4685 0.6504 0.2978 -0.8006 2.18 0.2796 0.3729 0.0875 1.0168
## Final Estimates: 22.45757 4.892126 -1.900291 -1.14318 -0.2159341 -0.159303 -0.003823571 0.0719551 -0.3261026 0.01792245 -0.1542759 0.1782921 0.08426513 -0.02081175 1.002401 -0.06048741 0.07160295 0.03280097 0.123727 0.8103122 0.5233753 0.05313807 0.3577901 -0.1273182 0.7423323 -0.2341579 0.6724234 -0.6938433 -0.3692054 0.04475716 -0.8006143 1.04509 -0.09355827 -0.1943066 -0.2968048 -0.1465132## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 22.457572 NaN NaN NaN
## loneliness_state_pmc 4.892126 NaN NaN NaN
## socintsatisfaction_state_pmc -1.900291 NaN NaN NaN
## responsiveness_state_pmc -1.143180 5.278404 -0.217 0.82854
## depressedmood_state -0.215934 NaN NaN NaN
## loneliness_state_pmc -0.159303 0.059989 -2.656 0.00792 **
## socintsatisfaction_state_pmc -0.003824 0.086846 -0.044 0.96488
## responsiveness_state_pmc 0.071955 0.175722 0.409 0.68219
## depressedmood_state -0.326103 NaN NaN NaN
## loneliness_state_pmc 0.017922 NaN NaN NaN
## socintsatisfaction_state_pmc -0.154276 0.077396 -1.993 0.04622 *
## responsiveness_state_pmc 0.178292 0.201682 0.884 0.37668
## depressedmood_state 0.084265 NaN NaN NaN
## loneliness_state_pmc -0.020812 0.169004 -0.123 0.90199
## socintsatisfaction_state_pmc 1.002401 0.030457 32.912 < 2e-16 ***
## responsiveness_state_pmc -0.060487 0.108561 -0.557 0.57741
## depressedmood_state 0.071603 0.262557 0.273 0.78507
## loneliness_state_pmc 0.032801 0.155509 0.211 0.83294
## socintsatisfaction_state_pmc 0.123727 0.078661 1.573 0.11574
## responsiveness_state_pmc 0.810312 0.103881 7.800 6.22e-15 ***
## 0.523375 NaN NaN NaN
## 0.053138 NaN NaN NaN
## 0.357790 NaN NaN NaN
## -0.127318 0.094598 -1.346 0.17834
## 0.742332 0.115349 6.436 1.23e-10 ***
## -0.234158 0.196633 -1.191 0.23372
## 0.672423 NaN NaN NaN
## -0.693843 0.285364 -2.431 0.01504 *
## -0.369205 NaN NaN NaN
## 0.044757 0.099281 0.451 0.65213
## -0.800614 NaN NaN NaN
## 1.045090 0.212937 4.908 9.20e-07 ***
## -0.093558 0.205833 -0.455 0.64944
## -0.194307 0.190282 -1.021 0.30718
## -0.296805 0.147752 -2.009 0.04456 *
## -0.146513 0.197476 -0.742 0.45813
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 22.45757 4.892126 -1.900291 -1.14318
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.2159 -0.1593 -0.00382 0.0720
## [2,] -0.3261 0.0179 -0.15428 0.1783
## [3,] 0.0843 -0.0208 1.00240 -0.0605
## [4,] 0.0716 0.0328 0.12373 0.8103
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.5234 -0.0531 -0.358 0.127
## [2,] -0.7423 0.2342 -0.672 0.694
## [3,] 0.3692 -0.0448 0.801 -1.045
## [4,] 0.0936 0.1943 0.297 0.147
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 32.401763 23.76068 -25.273726 -3.073445
## [2,] 23.760683 55.64142 -38.235564 -1.526930
## [3,] -25.273726 -38.23556 112.983083 -4.709721
## [4,] -3.073445 -1.52693 -4.709721 13.600886
## ----
## aic= 15.11582
## bic= 16.27218
## Number of parameters: 36
## initial estimates: 22.7104 7.5489 -9.2411 -1.0272 0.0548 0.0171 0.1201 -0.1788 -0.2608 0.1156 0.1033 -0.054 0.434 -0.1701 0.4925 0.057 0.0601 0.0236 -0.0887 0.7892 0.1517 0.2611 0.2664 -0.1356 0.3929 -0.4303 0.225 0.2733 0.0602 -0.8081 1.2632 -0.1626 0.058 -0.1383 0.4655 -0.4908
## Par. lower-bounds: 13.4613 0.0425 -16.7059 -6.911 -0.3164 -0.3374 -0.1099 -0.5118 -0.5621 -0.1721 -0.0834 -0.3242 0.1344 -0.4562 0.3069 -0.2118 -0.1761 -0.2019 -0.2351 0.5773 -0.3772 -0.6009 -0.45 -1.0933 -0.0363 -1.1299 -0.3564 -0.504 -0.3667 -1.5038 0.685 -0.9356 -0.2784 -0.6867 0.0098 -1.1001
## Par. upper-bounds: 31.9594 15.0553 -1.7764 4.8567 0.426 0.3716 0.3501 0.1543 0.0405 0.4033 0.29 0.2163 0.7336 0.116 0.6782 0.3257 0.2962 0.2492 0.0576 1.001 0.6805 1.1231 0.9828 0.8222 0.8221 0.2693 0.8064 1.0507 0.487 -0.1124 1.8414 0.6104 0.3944 0.4101 0.9213 0.1185
## Final Estimates: 23.95487 5.529103 -7.906773 -2.239688 -0.01216483 0.3716353 0.2313272 -0.2590632 -0.2053078 0.2404772 0.2882833 0.09709994 0.2524644 -0.1040439 0.3076111 0.08802782 0.06596196 0.2491617 -0.1776461 0.7091614 0.1429951 -0.4570874 -0.1681056 0.2078824 -0.03630194 -0.02697508 -0.3563123 -0.5039524 0.3369083 -0.2305931 0.6971047 0.2149753 0.1234265 -0.3127835 0.3318528 0.1185087## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 23.95487 4.06588 5.892 3.82e-09 ***
## loneliness_state_pmc 5.52910 NaN NaN NaN
## socintsatisfaction_state_pmc -7.90677 3.06403 -2.581 0.00987 **
## responsiveness_state_pmc -2.23969 2.79227 -0.802 0.42249
## depressedmood_state -0.01216 0.15918 -0.076 0.93908
## loneliness_state_pmc 0.37164 0.24176 1.537 0.12425
## socintsatisfaction_state_pmc 0.23133 0.15321 1.510 0.13108
## responsiveness_state_pmc -0.25906 0.26071 -0.994 0.32037
## depressedmood_state -0.20531 NaN NaN NaN
## loneliness_state_pmc 0.24048 0.14497 1.659 0.09717 .
## socintsatisfaction_state_pmc 0.28828 0.12499 2.306 0.02109 *
## responsiveness_state_pmc 0.09710 0.21166 0.459 0.64641
## depressedmood_state 0.25246 0.12127 2.082 0.03735 *
## loneliness_state_pmc -0.10404 0.27485 -0.379 0.70502
## socintsatisfaction_state_pmc 0.30761 NaN NaN NaN
## responsiveness_state_pmc 0.08803 NaN NaN NaN
## depressedmood_state 0.06596 0.12520 0.527 0.59829
## loneliness_state_pmc 0.24916 0.10998 2.265 0.02348 *
## socintsatisfaction_state_pmc -0.17765 NaN NaN NaN
## responsiveness_state_pmc 0.70916 NaN NaN NaN
## 0.14300 0.18345 0.779 0.43569
## -0.45709 0.26746 -1.709 0.08745 .
## -0.16811 0.18183 -0.925 0.35522
## 0.20788 0.30525 0.681 0.49586
## -0.03630 NaN NaN NaN
## -0.02698 0.07112 -0.379 0.70447
## -0.35631 0.19847 -1.795 0.07261 .
## -0.50395 0.31456 -1.602 0.10913
## 0.33691 0.15434 2.183 0.02905 *
## -0.23059 0.25077 -0.920 0.35781
## 0.69710 0.07545 9.239 < 2e-16 ***
## 0.21498 0.17805 1.207 0.22729
## 0.12343 0.12351 0.999 0.31766
## -0.31278 0.13197 -2.370 0.01779 *
## 0.33185 0.08334 3.982 6.84e-05 ***
## 0.11851 0.13566 0.874 0.38235
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 23.95487 5.529103 -7.906773 -2.239688
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.0122 0.372 0.231 -0.2591
## [2,] -0.2053 0.240 0.288 0.0971
## [3,] 0.2525 -0.104 0.308 0.0880
## [4,] 0.0660 0.249 -0.178 0.7092
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.1430 0.457 0.168 -0.208
## [2,] 0.0363 0.027 0.356 0.504
## [3,] -0.3369 0.231 -0.697 -0.215
## [4,] -0.1234 0.313 -0.332 -0.119
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 86.6496257 17.906763 -7.001322 0.9614735
## [2,] 17.9067626 65.941024 22.777871 6.1212425
## [3,] -7.0013216 22.777871 115.934201 30.4926163
## [4,] 0.9614735 6.121243 30.492616 36.0506877
## ----
## aic= 17.61421
## bic= 18.77058
## Number of parameters: 36
## initial estimates: 15.9076 -10.6028 -5.6897 -9.0244 0.6181 -0.0922 0.1184 -0.1336 0.2029 0.048 -0.0093 -0.1453 0.116 -0.3577 0.7073 -0.1054 0.197 -0.3814 0.1206 0.385 -0.7908 0.3435 -0.7218 0.1575 -0.004 0.0283 -0.3462 0.2839 -0.2784 0.5094 -0.083 0.6851 -0.8103 0.4209 0.1729 0.0698
## Par. lower-bounds: 3.9866 -22.3722 -19.3151 -21.8417 0.355 -0.4785 -0.055 -0.3692 -0.0569 -0.3334 -0.1805 -0.3778 -0.1847 -0.7993 0.5091 -0.3746 -0.0859 -0.7967 -0.0659 0.1318 -1.4369 -0.2975 -1.2695 -0.5414 -0.6418 -0.6045 -0.8869 -0.406 -1.0168 -0.2232 -0.709 -0.1136 -1.5049 -0.2682 -0.416 -0.6816
## Par. upper-bounds: 27.8286 1.1666 7.9357 3.7928 0.8812 0.2942 0.2918 0.1019 0.4626 0.4295 0.1619 0.0873 0.4167 0.0839 0.9055 0.1638 0.4798 0.034 0.307 0.6383 -0.1448 0.9845 -0.1741 0.8563 0.6338 0.6611 0.1946 0.9738 0.46 1.242 0.543 1.4838 -0.1157 1.1101 0.7618 0.8211
## Final Estimates: 16.01186 -10.53965 -5.514284 -8.875093 0.6461512 0.0004496376 0.1932162 -0.3262565 0.2315211 0.3530185 0.09748758 -0.01430662 0.07251229 -0.3995823 0.5091473 -0.207382 0.1788202 -0.2295544 0.1168299 0.5110256 -0.1515541 -0.1250863 -0.2317565 0.01720638 0.03001902 -0.4592558 -0.328383 -0.3599622 -0.1008927 0.248124 0.4375468 0.2086663 -0.2670653 -0.157909 0.08927439 -0.2193553## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 1.601e+01 1.407e+01 1.138 0.255087
## loneliness_state_pmc -1.054e+01 NaN NaN NaN
## socintsatisfaction_state_pmc -5.514e+00 NaN NaN NaN
## responsiveness_state_pmc -8.875e+00 4.132e+01 -0.215 0.829918
## depressedmood_state 6.462e-01 3.045e-01 2.122 0.033839 *
## loneliness_state_pmc 4.496e-04 3.592e-01 0.001 0.999001
## socintsatisfaction_state_pmc 1.932e-01 3.856e-01 0.501 0.616314
## responsiveness_state_pmc -3.263e-01 4.592e-01 -0.711 0.477357
## depressedmood_state 2.315e-01 NaN NaN NaN
## loneliness_state_pmc 3.530e-01 NaN NaN NaN
## socintsatisfaction_state_pmc 9.749e-02 3.052e-01 0.319 0.749407
## responsiveness_state_pmc -1.431e-02 6.597e-01 -0.022 0.982698
## depressedmood_state 7.251e-02 NaN NaN NaN
## loneliness_state_pmc -3.996e-01 2.023e-01 -1.975 0.048219 *
## socintsatisfaction_state_pmc 5.091e-01 1.508e-01 3.376 0.000735 ***
## responsiveness_state_pmc -2.074e-01 4.682e-01 -0.443 0.657813
## depressedmood_state 1.788e-01 8.828e-01 0.203 0.839479
## loneliness_state_pmc -2.296e-01 1.719e+00 -0.134 0.893737
## socintsatisfaction_state_pmc 1.168e-01 2.540e-01 0.460 0.645530
## responsiveness_state_pmc 5.110e-01 1.540e-01 3.318 0.000907 ***
## -1.516e-01 2.851e-01 -0.532 0.595067
## -1.251e-01 6.200e-01 -0.202 0.840105
## -2.318e-01 4.532e-01 -0.511 0.609086
## 1.721e-02 4.182e-01 0.041 0.967183
## 3.002e-02 NaN NaN NaN
## -4.593e-01 NaN NaN NaN
## -3.284e-01 4.458e-01 -0.737 0.461400
## -3.600e-01 1.047e+00 -0.344 0.731055
## -1.009e-01 NaN NaN NaN
## 2.481e-01 2.788e-01 0.890 0.373463
## 4.375e-01 1.285e-01 3.405 0.000661 ***
## 2.087e-01 4.159e-01 0.502 0.615902
## -2.671e-01 9.428e-01 -0.283 0.776960
## -1.579e-01 2.054e+00 -0.077 0.938726
## 8.927e-02 1.891e-01 0.472 0.636847
## -2.194e-01 1.426e-01 -1.538 0.124113
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 16.01186 -10.53965 -5.514284 -8.875093
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.6462 0.00045 0.1932 -0.3263
## [2,] 0.2315 0.35302 0.0975 -0.0143
## [3,] 0.0725 -0.39958 0.5091 -0.2074
## [4,] 0.1788 -0.22955 0.1168 0.5110
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.152 0.125 0.2318 -0.0172
## [2,] -0.030 0.459 0.3284 0.3600
## [3,] 0.101 -0.248 -0.4375 -0.2087
## [4,] 0.267 0.158 -0.0893 0.2194
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 153.3281832 58.831429 -0.5193958 -8.195697
## [2,] 58.8314286 107.404336 4.4198407 -34.022104
## [3,] -0.5193958 4.419841 147.3423652 38.717927
## [4,] -8.1956967 -34.022104 38.7179272 115.605457
## ----
## aic= 20.02381
## bic= 21.18018
## Number of parameters: 36
## initial estimates: 7.011 1.251 4.2451 -4.3672 0.3133 -0.0547 0.0149 -0.017 -0.0367 0.3453 -0.0754 -0.0855 -0.639 -0.318 0.5333 -0.1994 0.3086 -0.0983 0.0641 0.4504 -1.0532 -0.18 -0.0396 -0.0802 0.1328 -0.2765 0.0704 0.2743 -1.4012 0.3296 -0.7367 0.7381 0.21 -0.0635 -0.4273 0.3257
## Par. lower-bounds: 4.2053 -4.1163 -8.0019 -11.7388 0.0616 -0.2204 -0.0549 -0.1414 -0.5182 0.0284 -0.209 -0.3234 -1.7377 -1.0411 0.2285 -0.7422 -0.3528 -0.5335 -0.1194 0.1237 -1.7582 -0.4793 -0.2378 -0.3552 -1.2158 -0.8491 -0.3089 -0.2518 -4.4785 -0.9768 -1.6021 -0.4622 -1.6422 -0.8498 -0.9482 -0.3968
## Par. upper-bounds: 9.8166 6.6184 16.4921 3.0044 0.565 0.1109 0.0848 0.1073 0.4449 0.6623 0.0582 0.1524 0.4597 0.4052 0.8382 0.3434 0.9699 0.337 0.2476 0.7772 -0.3482 0.1193 0.1587 0.1948 1.4815 0.296 0.4497 0.8003 1.676 1.636 0.1287 1.9384 2.0623 0.7229 0.0936 1.0482
## Final Estimates: 7.044899 1.306134 4.218818 -4.317806 0.360225 0.09310465 0.08124952 -0.1257545 -0.1104774 0.6267353 -0.1565067 -0.2287251 -0.3685946 -0.3945883 0.6332759 -0.3476561 0.3959076 -0.198128 0.2419792 0.42359 -0.428776 -0.4166813 -0.1298187 0.1428026 -0.2658549 -0.8490513 0.08423802 0.2795262 -0.9571645 0.3671106 -0.4177084 0.5695706 0.01582219 0.378409 -0.3381674 0.116259## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 7.04490 2.22736 3.163 0.00156 **
## loneliness_state_pmc 1.30613 0.21469 6.084 1.17e-09 ***
## socintsatisfaction_state_pmc 4.21882 9.72957 0.434 0.66457
## responsiveness_state_pmc -4.31781 NaN NaN NaN
## depressedmood_state 0.36023 0.18588 1.938 0.05264 .
## loneliness_state_pmc 0.09310 NaN NaN NaN
## socintsatisfaction_state_pmc 0.08125 0.07993 1.017 0.30937
## responsiveness_state_pmc -0.12575 NaN NaN NaN
## depressedmood_state -0.11048 0.10481 -1.054 0.29185
## loneliness_state_pmc 0.62674 0.13556 4.623 3.78e-06 ***
## socintsatisfaction_state_pmc -0.15651 0.09650 -1.622 0.10483
## responsiveness_state_pmc -0.22873 0.11683 -1.958 0.05026 .
## depressedmood_state -0.36859 1.01001 -0.365 0.71516
## loneliness_state_pmc -0.39459 0.71591 -0.551 0.58152
## socintsatisfaction_state_pmc 0.63328 0.21087 3.003 0.00267 **
## responsiveness_state_pmc -0.34766 0.55947 -0.621 0.53434
## depressedmood_state 0.39591 NaN NaN NaN
## loneliness_state_pmc -0.19813 0.25058 -0.791 0.42913
## socintsatisfaction_state_pmc 0.24198 0.19915 1.215 0.22434
## responsiveness_state_pmc 0.42359 0.19110 2.217 0.02665 *
## -0.42878 0.21611 -1.984 0.04724 *
## -0.41668 0.05728 -7.274 3.48e-13 ***
## -0.12982 0.08983 -1.445 0.14842
## 0.14280 NaN NaN NaN
## -0.26585 NaN NaN NaN
## -0.84905 0.14991 -5.664 1.48e-08 ***
## 0.08424 0.09893 0.851 0.39450
## 0.27953 0.11432 2.445 0.01448 *
## -0.95716 0.97558 -0.981 0.32653
## 0.36711 0.81960 0.448 0.65422
## -0.41771 0.23746 -1.759 0.07857 .
## 0.56957 0.63512 0.897 0.36983
## 0.01582 NaN NaN NaN
## 0.37841 0.27758 1.363 0.17281
## -0.33817 0.21645 -1.562 0.11821
## 0.11626 0.20635 0.563 0.57316
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 7.044899 1.306134 4.218818 -4.317806
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.360 0.0931 0.0812 -0.126
## [2,] -0.110 0.6267 -0.1565 -0.229
## [3,] -0.369 -0.3946 0.6333 -0.348
## [4,] 0.396 -0.1981 0.2420 0.424
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.4288 0.417 0.1298 -0.143
## [2,] 0.2659 0.849 -0.0842 -0.280
## [3,] 0.9572 -0.367 0.4177 -0.570
## [4,] -0.0158 -0.378 0.3382 -0.116
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 22.186593 -17.79715 12.90122 6.644592
## [2,] -17.797146 75.42287 -54.71919 -41.353813
## [3,] 12.901223 -54.71919 470.33931 177.993605
## [4,] 6.644592 -41.35381 177.99360 158.577537
## ----
## aic= 18.74346
## bic= 19.89983
## Number of parameters: 36
## initial estimates: 7.2592 -4.7655 1.2821 -1.5459 0.2634 -0.0786 -0.0889 -0.0422 0.3256 -0.0584 -0.1707 -0.5364 -0.1489 0.0664 0.462 0.32 0.0969 0.0456 0.3356 0.0987 0.0575 0.0321 0.1629 -0.2825 -0.3089 -0.129 0.5897 -0.7971 1.4186 -0.2472 -0.7234 1.4063 0.3972 -0.2101 -0.4899 0.6831
## Par. lower-bounds: 3.1876 -13.864 -6.9118 -6.2754 -0.0951 -0.273 -0.292 -0.4051 -0.4754 -0.4927 -0.6246 -1.3474 -0.8703 -0.3248 0.0533 -0.4103 -0.3194 -0.1802 0.0996 -0.3229 -0.82 -0.3498 -0.2211 -0.9122 -2.2698 -0.9824 -0.2683 -2.2042 -0.3474 -1.0158 -1.4961 0.1391 -0.6221 -0.6538 -0.9359 -0.0483
## Par. upper-bounds: 11.3308 4.333 9.4759 3.1837 0.6218 0.1157 0.1142 0.3208 1.1266 0.376 0.2832 0.2746 0.5725 0.4576 0.8708 1.0504 0.5133 0.2714 0.5715 0.5203 0.935 0.414 0.5468 0.3471 1.6521 0.7245 1.4476 0.61 3.1845 0.5214 0.0492 2.6735 1.4166 0.2335 -0.0439 1.4145
## Final Estimates: 8.062758 -6.962148 -0.1824975 -1.542613 0.2405601 -0.2497974 -0.2920059 0.3207623 0.5365824 -0.4927436 -0.4556974 -0.09113432 -0.02231247 -0.3247622 0.2422275 0.1495413 0.1377865 0.271351 0.3258062 0.04720739 0.1050327 0.2767195 0.4294582 -0.4886024 -0.1554084 0.5609006 0.5536734 -0.4685429 -0.0206049 0.2908439 0.04704343 0.2883275 0.01042644 -0.4637263 -0.1128032 -0.04833339## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 8.06276 3.15417 2.556 0.010582 *
## loneliness_state_pmc -6.96215 NaN NaN NaN
## socintsatisfaction_state_pmc -0.18250 NaN NaN NaN
## responsiveness_state_pmc -1.54261 NaN NaN NaN
## depressedmood_state 0.24056 0.29524 0.815 0.415188
## loneliness_state_pmc -0.24980 NaN NaN NaN
## socintsatisfaction_state_pmc -0.29201 NaN NaN NaN
## responsiveness_state_pmc 0.32076 0.15098 2.125 0.033626 *
## depressedmood_state 0.53658 NaN NaN NaN
## loneliness_state_pmc -0.49274 NaN NaN NaN
## socintsatisfaction_state_pmc -0.45570 0.20710 -2.200 0.027778 *
## responsiveness_state_pmc -0.09113 0.27550 -0.331 0.740803
## depressedmood_state -0.02231 NaN NaN NaN
## loneliness_state_pmc -0.32476 0.22157 -1.466 0.142714
## socintsatisfaction_state_pmc 0.24223 0.20978 1.155 0.248223
## responsiveness_state_pmc 0.14954 0.64407 0.232 0.816398
## depressedmood_state 0.13779 NaN NaN NaN
## loneliness_state_pmc 0.27135 0.02962 9.161 < 2e-16 ***
## socintsatisfaction_state_pmc 0.32581 0.21090 1.545 0.122382
## responsiveness_state_pmc 0.04721 0.36399 0.130 0.896809
## 0.10503 0.30692 0.342 0.732185
## 0.27672 NaN NaN NaN
## 0.42946 NaN NaN NaN
## -0.48860 0.18966 -2.576 0.009988 **
## -0.15541 NaN NaN NaN
## 0.56090 NaN NaN NaN
## 0.55367 0.16313 3.394 0.000689 ***
## -0.46854 0.35078 -1.336 0.181636
## -0.02060 NaN NaN NaN
## 0.29084 0.07282 3.994 6.49e-05 ***
## 0.04704 0.21217 0.222 0.824530
## 0.28833 0.67579 0.427 0.669631
## 0.01043 NaN NaN NaN
## -0.46373 NaN NaN NaN
## -0.11280 0.18776 -0.601 0.547987
## -0.04833 0.40094 -0.121 0.904047
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 8.062758 -6.962148 -0.1824975 -1.542613
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.2406 -0.250 -0.292 0.3208
## [2,] 0.5366 -0.493 -0.456 -0.0911
## [3,] -0.0223 -0.325 0.242 0.1495
## [4,] 0.1378 0.271 0.326 0.0472
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.1050 -0.277 -0.429 0.4886
## [2,] 0.1554 -0.561 -0.554 0.4685
## [3,] 0.0206 -0.291 -0.047 -0.2883
## [4,] -0.0104 0.464 0.113 0.0483
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 40.829986 53.72158 -20.50646 -9.860812
## [2,] 53.721584 212.47079 -94.27934 -58.227736
## [3,] -20.506461 -94.27934 148.40125 62.236233
## [4,] -9.860812 -58.22774 62.23623 53.795457
## ----
## aic= 17.57192
## bic= 18.72829
## Number of parameters: 36
## initial estimates: 50.5146 -1.2653 4.6238 3.8025 -0.0589 -0.1185 -0.2541 -0.1423 0.0361 0.0327 -0.2806 0.2079 -0.0933 0.1622 0.5354 -0.1916 -0.0776 0.0056 -0.0485 0.2331 0.3816 0.0612 -0.4134 1.1629 0.1419 0.0794 0.4701 -0.4477 0.3742 0.0302 -1.1039 1.7206 0.1154 -0.375 -0.0132 0.0834
## Par. lower-bounds: 34.3932 -12.706 -10.9992 -5.1039 -0.3824 -0.5815 -0.5332 -0.7251 -0.1935 -0.2958 -0.4787 -0.2057 -0.4068 -0.2864 0.2649 -0.7564 -0.2563 -0.2502 -0.2027 -0.0889 -0.2144 -0.845 -1.3648 -0.3437 -0.2811 -0.5637 -0.205 -1.517 -0.2034 -0.8481 -2.0258 0.2605 -0.2139 -0.8756 -0.5388 -0.749
## Par. upper-bounds: 66.6361 10.1753 20.2469 12.709 0.2646 0.3444 0.025 0.4405 0.2657 0.3613 -0.0825 0.6215 0.2202 0.6109 0.8059 0.3732 0.1011 0.2614 0.1057 0.5551 0.9777 0.9675 0.5379 2.6696 0.5649 0.7226 1.1452 0.6215 0.9519 0.9084 -0.1819 3.1807 0.4447 0.1257 0.5123 0.9158
## Final Estimates: 50.4907 -1.236444 4.660678 3.757335 -0.145958 0.2051395 -0.2495798 -0.4134736 -0.0514284 -0.2958138 -0.4009997 -0.200386 -0.1496639 -0.2843546 0.3909034 -0.1930596 -0.07886746 0.2558782 0.1057426 0.1113707 0.2951255 -0.5496411 -0.3325609 1.047261 0.2371648 0.3026957 -0.008923576 0.6209447 0.1691139 0.5566186 -0.1829024 0.5236669 0.05514019 -0.4339221 -0.4892011 0.7262472## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 50.490700 NaN NaN NaN
## loneliness_state_pmc -1.236444 6.390896 -0.193 0.84659
## socintsatisfaction_state_pmc 4.660678 NaN NaN NaN
## responsiveness_state_pmc 3.757335 NaN NaN NaN
## depressedmood_state -0.145958 NaN NaN NaN
## loneliness_state_pmc 0.205140 NaN NaN NaN
## socintsatisfaction_state_pmc -0.249580 NaN NaN NaN
## responsiveness_state_pmc -0.413474 0.144367 -2.864 0.00418 **
## depressedmood_state -0.051428 0.113141 -0.455 0.64943
## loneliness_state_pmc -0.295814 0.104508 -2.831 0.00465 **
## socintsatisfaction_state_pmc -0.401000 NaN NaN NaN
## responsiveness_state_pmc -0.200386 0.102312 -1.959 0.05016 .
## depressedmood_state -0.149664 NaN NaN NaN
## loneliness_state_pmc -0.284355 NaN NaN NaN
## socintsatisfaction_state_pmc 0.390903 0.169826 2.302 0.02135 *
## responsiveness_state_pmc -0.193060 0.190222 -1.015 0.31014
## depressedmood_state -0.078867 NaN NaN NaN
## loneliness_state_pmc 0.255878 0.024709 10.356 < 2e-16 ***
## socintsatisfaction_state_pmc 0.105743 NaN NaN NaN
## responsiveness_state_pmc 0.111371 0.127264 0.875 0.38151
## 0.295126 NaN NaN NaN
## -0.549641 NaN NaN NaN
## -0.332561 NaN NaN NaN
## 1.047261 NaN NaN NaN
## 0.237165 0.037272 6.363 1.98e-10 ***
## 0.302696 0.109256 2.771 0.00560 **
## -0.008924 NaN NaN NaN
## 0.620945 NaN NaN NaN
## 0.169114 NaN NaN NaN
## 0.556619 NaN NaN NaN
## -0.182902 0.114156 -1.602 0.10911
## 0.523667 NaN NaN NaN
## 0.055140 NaN NaN NaN
## -0.433922 NaN NaN NaN
## -0.489201 NaN NaN NaN
## 0.726247 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 50.4907 -1.236444 4.660678 3.757335
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.1460 0.205 -0.250 -0.413
## [2,] -0.0514 -0.296 -0.401 -0.200
## [3,] -0.1497 -0.284 0.391 -0.193
## [4,] -0.0789 0.256 0.106 0.111
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.2951 0.550 0.33256 -1.047
## [2,] -0.2372 -0.303 0.00892 -0.621
## [3,] -0.1691 -0.557 0.18290 -0.524
## [4,] -0.0551 0.434 0.48920 -0.726
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 354.75035 83.71897 -5.58263 -25.18015
## [2,] 83.71897 176.90460 -59.32318 -24.19828
## [3,] -5.58263 -59.32318 411.87523 164.47394
## [4,] -25.18015 -24.19828 164.47394 123.86876
## ----
## aic= 21.95934
## bic= 23.11571
## Number of parameters: 36
## initial estimates: 44.164 -9.2618 -5.5058 4.4467 0.1429 0.1274 0.4622 -1.0607 0.1829 -0.1051 -0.1479 0.1858 0.0897 -0.0604 0.8629 0.2193 -0.0792 -0.0063 0.0852 0.7805 -0.0013 -0.2138 -1.4189 0.5254 -0.2847 0.1522 -1.2011 2.3543 0.1199 0.0158 -0.9933 2.0568 0.2408 0.0272 -0.2435 0.2358
## Par. lower-bounds: 30.3835 -23.8329 -16.6198 -1.7104 -0.1259 -0.1392 0.1817 -1.6527 -0.1013 -0.3869 -0.4445 -0.4401 -0.127 -0.2754 0.6367 -0.2581 -0.1993 -0.1254 -0.0402 0.5161 -0.5517 -0.8796 -2.7013 -2.1919 -0.8667 -0.5518 -2.5571 -0.5189 -0.324 -0.5212 -2.0276 -0.1347 -0.0051 -0.2703 -0.8165 -0.9783
## Par. upper-bounds: 57.9444 5.3092 5.6082 10.6039 0.4117 0.394 0.7427 -0.4688 0.467 0.1768 0.1487 0.8117 0.3065 0.1546 1.0891 0.6967 0.0409 0.1128 0.2105 1.045 0.5491 0.452 -0.1364 3.2427 0.2973 0.8562 0.1549 5.2275 0.5638 0.5528 0.0411 4.2483 0.4868 0.3247 0.3295 1.4499
## Final Estimates: 44.16986 -9.270428 -5.444622 4.356474 0.1468602 0.1499172 0.4868872 -1.089205 0.2005973 -0.248354 -0.07995824 0.0158651 0.1142287 -0.2367517 0.9853418 -0.06969116 -0.073451 -0.05612386 0.09862496 0.7371998 0.005437803 -0.05405478 -0.9193348 0.6234202 -0.1399283 0.1323889 -1.145842 1.988831 0.1152412 0.1326511 -0.683748 1.561517 0.1961414 -0.02163658 -0.218858 0.5528443## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 44.169864 NaN NaN NaN
## loneliness_state_pmc -9.270428 NaN NaN NaN
## socintsatisfaction_state_pmc -5.444622 NaN NaN NaN
## responsiveness_state_pmc 4.356474 3.284806 1.326 0.1848
## depressedmood_state 0.146860 NaN NaN NaN
## loneliness_state_pmc 0.149917 NaN NaN NaN
## socintsatisfaction_state_pmc 0.486887 NaN NaN NaN
## responsiveness_state_pmc -1.089205 NaN NaN NaN
## depressedmood_state 0.200597 NaN NaN NaN
## loneliness_state_pmc -0.248354 0.151837 -1.636 0.1019
## socintsatisfaction_state_pmc -0.079958 0.134341 -0.595 0.5517
## responsiveness_state_pmc 0.015865 0.239236 0.066 0.9471
## depressedmood_state 0.114229 NaN NaN NaN
## loneliness_state_pmc -0.236752 0.171184 -1.383 0.1667
## socintsatisfaction_state_pmc 0.985342 0.077211 12.762 < 2e-16 ***
## responsiveness_state_pmc -0.069691 0.147491 -0.473 0.6366
## depressedmood_state -0.073451 0.056561 -1.299 0.1941
## loneliness_state_pmc -0.056124 0.116294 -0.483 0.6294
## socintsatisfaction_state_pmc 0.098625 0.068141 1.447 0.1478
## responsiveness_state_pmc 0.737200 0.123917 5.949 2.70e-09 ***
## 0.005438 NaN NaN NaN
## -0.054055 NaN NaN NaN
## -0.919335 0.144932 -6.343 2.25e-10 ***
## 0.623420 0.943352 0.661 0.5087
## -0.139928 NaN NaN NaN
## 0.132389 0.023326 5.676 1.38e-08 ***
## -1.145842 0.777387 -1.474 0.1405
## 1.988831 0.766884 2.593 0.0095 **
## 0.115241 NaN NaN NaN
## 0.132651 0.130536 1.016 0.3095
## -0.683748 0.322890 -2.118 0.0342 *
## 1.561517 NaN NaN NaN
## 0.196141 NaN NaN NaN
## -0.021637 0.097303 -0.222 0.8240
## -0.218858 0.190896 -1.146 0.2516
## 0.552844 0.137296 4.027 5.66e-05 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 44.16986 -9.270428 -5.444622 4.356474
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1469 0.1499 0.4869 -1.0892
## [2,] 0.2006 -0.2484 -0.0800 0.0159
## [3,] 0.1142 -0.2368 0.9853 -0.0697
## [4,] -0.0735 -0.0561 0.0986 0.7372
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.00544 0.0541 0.919 -0.623
## [2,] 0.13993 -0.1324 1.146 -1.989
## [3,] -0.11524 -0.1327 0.684 -1.562
## [4,] -0.19614 0.0216 0.219 -0.553
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 38.041760 12.528323 4.825334 1.641869
## [2,] 12.528323 63.769951 20.053032 6.910673
## [3,] 4.825334 20.053032 24.600256 8.589112
## [4,] 1.641869 6.910673 8.589112 5.603233
## ----
## aic= 12.61815
## bic= 13.77452
## Number of parameters: 36
## initial estimates: 74.889 -18.7093 -27.4478 -2.4716 0.1872 0.1959 0.025 -0.0078 0.2009 0.2718 -0.0873 -0.1581 0.2946 -0.3333 0.7296 -0.3874 0.0293 -0.3109 0.1132 0.2278 -0.3171 0.4015 -0.1214 0.9503 0.6425 -1.0683 -0.4248 0.3784 -0.694 0.3419 -0.469 0.1841 0.0319 0.4469 0.6697 -0.7372
## Par. lower-bounds: 42.7918 -57.4684 -86.0044 -38.3814 -0.162 -0.0494 -0.1616 -0.2732 -0.2208 -0.0244 -0.3126 -0.4785 -0.3424 -0.7808 0.3891 -0.8716 -0.3613 -0.5853 -0.0956 -0.0691 -0.9123 -0.2233 -0.5266 0.1827 -0.0761 -1.8228 -0.914 -0.5485 -1.7797 -0.798 -1.2081 -1.2162 -0.6339 -0.2521 0.2164 -1.5959
## Par. upper-bounds: 106.9861 20.0497 31.1088 33.4382 0.5363 0.4412 0.2117 0.2575 0.6225 0.568 0.1381 0.1624 0.9316 0.1142 1.0701 0.0967 0.4199 -0.0364 0.322 0.5247 0.278 1.0263 0.2838 1.7179 1.3612 -0.3138 0.0645 1.3053 0.3918 1.4818 0.2702 1.5844 0.6977 1.146 1.123 0.1216
## Final Estimates: 74.88897 -18.70932 -27.44777 -2.471609 0.1871652 0.195894 0.02503354 -0.007836331 0.2008588 0.2717805 -0.08725402 -0.1580616 0.2946246 -0.3333017 0.7295899 -0.3874419 0.02929302 -0.3108871 0.113236 0.2277621 -0.3171308 0.4015243 -0.121413 0.9503069 0.6425398 -1.068337 -0.4247544 0.378391 -0.693955 0.3418644 -0.468965 0.1840832 0.03190569 0.4469186 0.6696834 -0.7371589
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 74.888969 NaN NaN NaN
## loneliness_state_pmc -18.709317 NaN NaN NaN
## socintsatisfaction_state_pmc -27.447773 NaN NaN NaN
## responsiveness_state_pmc -2.471609 NaN NaN NaN
## depressedmood_state 0.187165 NaN NaN NaN
## loneliness_state_pmc 0.195894 NaN NaN NaN
## socintsatisfaction_state_pmc 0.025034 NaN NaN NaN
## responsiveness_state_pmc -0.007836 NaN NaN NaN
## depressedmood_state 0.200859 NaN NaN NaN
## loneliness_state_pmc 0.271781 NaN NaN NaN
## socintsatisfaction_state_pmc -0.087254 NaN NaN NaN
## responsiveness_state_pmc -0.158062 NaN NaN NaN
## depressedmood_state 0.294625 NaN NaN NaN
## loneliness_state_pmc -0.333302 NaN NaN NaN
## socintsatisfaction_state_pmc 0.729590 NaN NaN NaN
## responsiveness_state_pmc -0.387442 NaN NaN NaN
## depressedmood_state 0.029293 NaN NaN NaN
## loneliness_state_pmc -0.310887 NaN NaN NaN
## socintsatisfaction_state_pmc 0.113236 NaN NaN NaN
## responsiveness_state_pmc 0.227762 NaN NaN NaN
## -0.317131 NaN NaN NaN
## 0.401524 NaN NaN NaN
## -0.121413 NaN NaN NaN
## 0.950307 NaN NaN NaN
## 0.642540 NaN NaN NaN
## -1.068337 NaN NaN NaN
## -0.424754 NaN NaN NaN
## 0.378391 NaN NaN NaN
## -0.693955 NaN NaN NaN
## 0.341864 NaN NaN NaN
## -0.468965 NaN NaN NaN
## 0.184083 NaN NaN NaN
## 0.031906 NaN NaN NaN
## 0.446919 NaN NaN NaN
## 0.669683 NaN NaN NaN
## -0.737159 NaN NaN NaN
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 74.88897 -18.70932 -27.44777 -2.471609
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1872 0.196 0.0250 -0.00784
## [2,] 0.2009 0.272 -0.0873 -0.15806
## [3,] 0.2946 -0.333 0.7296 -0.38744
## [4,] 0.0293 -0.311 0.1132 0.22776
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.3171 -0.402 0.121 -0.950
## [2,] -0.6425 1.068 0.425 -0.378
## [3,] 0.6940 -0.342 0.469 -0.184
## [4,] -0.0319 -0.447 -0.670 0.737
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 6.993195e+18 3.803711e+18 5.627234e+18 -8.760221e+18
## [2,] 3.803711e+18 2.068900e+18 3.060743e+18 -4.764825e+18
## [3,] 5.627234e+18 3.060743e+18 4.528082e+18 -7.049112e+18
## [4,] -8.760221e+18 -4.764825e+18 -7.049112e+18 1.097374e+19## Warning in log(dd): NaNs produced## ----
## aic= NaN
## bic= NaN
## Number of parameters: 36
## initial estimates: 14.4635 -9.5579 3.8695 3.1671 0.4877 -0.0014 0.0336 -0.0757 0.3724 -0.2008 0.1421 -0.0707 -0.1408 0.1325 0.5316 0.1261 -0.1587 0.0862 -0.1748 0.7358 -0.4512 -0.2714 -0.0836 0.5531 -0.1482 -0.0168 -0.1608 -0.036 -0.166 -0.0282 0.0778 0.3083 0.1232 0.4184 0.5108 -0.6596
## Par. lower-bounds: 5.581 -19.3979 -4.8097 -5.6901 0.1864 -0.2819 -0.2226 -0.3291 0.0386 -0.5115 -0.1418 -0.3514 -0.4352 -0.1416 0.2813 -0.1215 -0.4591 -0.1935 -0.4303 0.4832 -1.1071 -0.799 -0.7998 -0.49 -0.8748 -0.6013 -0.9542 -1.1915 -0.8069 -0.5437 -0.622 -0.7109 -0.5308 -0.1077 -0.2033 -1.6997
## Par. upper-bounds: 23.346 0.2822 12.5486 12.0243 0.789 0.2791 0.2898 0.1776 0.7061 0.11 0.4259 0.21 0.1535 0.4067 0.782 0.3736 0.1417 0.3659 0.0807 0.9885 0.2047 0.2562 0.6326 1.5962 0.5783 0.5677 0.6326 1.1195 0.4749 0.4874 0.7776 1.3275 0.7772 0.9445 1.2249 0.3806
## Final Estimates: 13.10186 -12.93717 5.355709 4.183147 0.5329679 0.279131 -0.2226377 0.08308608 0.474823 0.1100203 0.05951814 -0.03112797 -0.183953 -0.1415721 0.4968089 0.1418037 -0.2015953 -0.1935447 0.07654754 0.4831882 -0.2077522 -0.2750179 0.5021945 -0.2092636 -0.2596753 -0.2646171 0.04884124 -0.03988447 0.3039033 0.1456404 0.2692132 0.02002827 0.3072533 0.3316436 -0.01476139 0.3805541
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 13.10186 57.87133 0.226 0.821
## loneliness_state_pmc -12.93717 53.70312 -0.241 0.810
## socintsatisfaction_state_pmc 5.35571 67.57674 0.079 0.937
## responsiveness_state_pmc 4.18315 23.37190 0.179 0.858
## depressedmood_state 0.53297 2.29042 0.233 0.816
## loneliness_state_pmc 0.27913 4.03295 0.069 0.945
## socintsatisfaction_state_pmc -0.22264 1.00587 -0.221 0.825
## responsiveness_state_pmc 0.08309 1.16220 0.071 0.943
## depressedmood_state 0.47482 1.81532 0.262 0.794
## loneliness_state_pmc 0.11002 3.30869 0.033 0.973
## socintsatisfaction_state_pmc 0.05952 0.84923 0.070 0.944
## responsiveness_state_pmc -0.03113 0.91784 -0.034 0.973
## depressedmood_state -0.18395 2.59996 -0.071 0.944
## loneliness_state_pmc -0.14157 2.69780 -0.052 0.958
## socintsatisfaction_state_pmc 0.49681 1.24209 0.400 0.689
## responsiveness_state_pmc 0.14180 2.27051 0.062 0.950
## depressedmood_state -0.20160 0.64751 -0.311 0.756
## loneliness_state_pmc -0.19354 4.47420 -0.043 0.965
## socintsatisfaction_state_pmc 0.07655 1.97993 0.039 0.969
## responsiveness_state_pmc 0.48319 2.54450 0.190 0.849
## -0.20775 2.05570 -0.101 0.920
## -0.27502 3.27805 -0.084 0.933
## 0.50219 1.65475 0.303 0.762
## -0.20926 1.62695 -0.129 0.898
## -0.25968 0.82164 -0.316 0.752
## -0.26462 2.29135 -0.115 0.908
## 0.04884 0.51829 0.094 0.925
## -0.03988 0.73754 -0.054 0.957
## 0.30390 2.21439 0.137 0.891
## 0.14564 3.51870 0.041 0.967
## 0.26921 1.89787 0.142 0.887
## 0.02003 2.56659 0.008 0.994
## 0.30725 0.26673 1.152 0.249
## 0.33164 5.12367 0.065 0.948
## -0.01476 1.97232 -0.007 0.994
## 0.38055 2.78666 0.137 0.891
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 13.10186 -12.93717 5.355709 4.183147
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.533 0.279 -0.2226 0.0831
## [2,] 0.475 0.110 0.0595 -0.0311
## [3,] -0.184 -0.142 0.4968 0.1418
## [4,] -0.202 -0.194 0.0765 0.4832
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.208 0.275 -0.5022 0.2093
## [2,] 0.260 0.265 -0.0488 0.0399
## [3,] -0.304 -0.146 -0.2692 -0.0200
## [4,] -0.307 -0.332 0.0148 -0.3806
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 55.352008 13.499678 -20.357840 -8.531143
## [2,] 13.499678 86.622591 -9.160834 -4.026310
## [3,] -20.357840 -9.160834 66.450357 37.617426
## [4,] -8.531143 -4.026310 37.617426 67.629467
## ----
## aic= 17.37029
## bic= 18.52665
## Number of parameters: 36
## initial estimates: 16.8582 2.0643 -14.1331 0.2979 0.0489 0.0449 0.0459 -0.1288 -0.0661 0.1953 -0.0795 0.0193 0.6895 -0.2154 0.5703 -0.4288 -0.0812 -0.3198 0.1847 -0.124 -0.0089 -0.2943 0.0999 0.1414 -0.2965 -0.6647 0.3672 -0.1414 -1.2153 0.8041 -0.4947 0.5021 0.4571 0.6832 -0.1114 0.2458
## Par. lower-bounds: 10.2848 -7.2828 -31.807 -11.2852 -0.3163 -0.1997 -0.1012 -0.3789 -0.5855 -0.1525 -0.2887 -0.3364 -0.2925 -0.873 0.1747 -1.1012 -0.7248 -0.7508 -0.0745 -0.5648 -0.8264 -0.8192 -0.1764 -0.345 -1.4589 -1.4111 -0.0256 -0.8331 -3.4132 -0.6074 -1.2375 -0.8058 -0.9834 -0.2419 -0.5983 -0.6114
## Par. upper-bounds: 23.4316 11.4115 3.5409 11.8809 0.4142 0.2895 0.193 0.1213 0.4532 0.5431 0.1298 0.3749 1.6715 0.4423 0.9659 0.2437 0.5624 0.1112 0.444 0.3167 0.8086 0.2307 0.3762 0.6279 0.8659 0.0818 0.7601 0.5503 0.9827 2.2155 0.2482 1.81 1.8976 1.6082 0.3754 1.1029
## Final Estimates: 17.13112 1.983365 -14.11866 0.3733868 -0.00856636 0.2894539 0.1434324 -0.2877825 -0.1730933 0.1078774 -0.2881665 0.04866175 0.9018424 0.1102032 0.7780574 -0.5796263 0.02673185 -0.298622 0.149643 0.3166688 0.1440501 -0.3657735 -0.1763813 0.3342216 0.1186989 -0.006319125 0.3158325 -0.02042513 -1.14901 0.1908689 -0.4220994 0.4805613 -0.04123725 0.06707698 0.0652144 -0.5244924## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 17.131125 NaN NaN NaN
## loneliness_state_pmc 1.983365 2.220316 0.893 0.37171
## socintsatisfaction_state_pmc -14.118661 NaN NaN NaN
## responsiveness_state_pmc 0.373387 NaN NaN NaN
## depressedmood_state -0.008566 NaN NaN NaN
## loneliness_state_pmc 0.289454 0.190692 1.518 0.12904
## socintsatisfaction_state_pmc 0.143432 0.094630 1.516 0.12959
## responsiveness_state_pmc -0.287782 0.194593 -1.479 0.13917
## depressedmood_state -0.173093 0.181820 -0.952 0.34109
## loneliness_state_pmc 0.107877 0.322272 0.335 0.73782
## socintsatisfaction_state_pmc -0.288167 0.130426 -2.209 0.02715 *
## responsiveness_state_pmc 0.048662 0.224303 0.217 0.82825
## depressedmood_state 0.901842 NaN NaN NaN
## loneliness_state_pmc 0.110203 NaN NaN NaN
## socintsatisfaction_state_pmc 0.778057 0.316969 2.455 0.01410 *
## responsiveness_state_pmc -0.579626 0.364727 -1.589 0.11201
## depressedmood_state 0.026732 NaN NaN NaN
## loneliness_state_pmc -0.298622 NaN NaN NaN
## socintsatisfaction_state_pmc 0.149643 NaN NaN NaN
## responsiveness_state_pmc 0.316669 NaN NaN NaN
## 0.144050 NaN NaN NaN
## -0.365773 0.058590 -6.243 4.29e-10 ***
## -0.176381 NaN NaN NaN
## 0.334222 0.108603 3.077 0.00209 **
## 0.118699 0.369164 0.322 0.74781
## -0.006319 0.266478 -0.024 0.98108
## 0.315833 0.045163 6.993 2.69e-12 ***
## -0.020425 0.258118 -0.079 0.93693
## -1.149010 0.735714 -1.562 0.11834
## 0.190869 NaN NaN NaN
## -0.422099 0.333471 -1.266 0.20559
## 0.480561 0.452039 1.063 0.28774
## -0.041237 NaN NaN NaN
## 0.067077 NaN NaN NaN
## 0.065214 NaN NaN NaN
## -0.524492 0.097289 -5.391 7.00e-08 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 17.13112 1.983365 -14.11866 0.3733868
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.00857 0.289 0.143 -0.2878
## [2,] -0.17309 0.108 -0.288 0.0487
## [3,] 0.90184 0.110 0.778 -0.5796
## [4,] 0.02673 -0.299 0.150 0.3167
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.1441 0.36577 0.1764 -0.3342
## [2,] -0.1187 0.00632 -0.3158 0.0204
## [3,] 1.1490 -0.19087 0.4221 -0.4806
## [4,] 0.0412 -0.06708 -0.0652 0.5245
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 69.88890 68.51496 -62.20870 -55.16546
## [2,] 68.51496 154.89505 -87.39699 -84.27035
## [3,] -62.20870 -87.39699 456.36310 215.12353
## [4,] -55.16546 -84.27035 215.12353 192.73453
## ----
## aic= 20.05623
## bic= 21.21259
## Number of parameters: 36
## initial estimates: 34.6476 -7.6761 13.4567 17.8057 0.3097 -0.0975 0.0965 -0.3103 0.1226 0.1667 0.2894 -0.4104 -0.2412 0.3777 -0.0895 0.7798 -0.328 0.1898 -0.1509 0.4813 -1.2939 1.0492 0.1317 -0.1784 -1.1135 0.6656 -0.4481 0.1702 1.8361 -1.5321 -0.1017 0.1187 1.4457 -0.8482 0.3844 -0.0243
## Par. lower-bounds: 12.1276 -28.8858 -11.9837 -5.0859 -0.114 -0.6572 -0.3956 -0.8355 -0.2765 -0.3604 -0.174 -0.905 -0.7199 -0.2546 -0.6454 0.1865 -0.7588 -0.3791 -0.6511 -0.0526 -2.4721 -0.2331 -0.8183 -1.5832 -2.2231 -0.5421 -1.3428 -1.1529 0.5051 -2.9807 -1.1748 -1.4683 0.2482 -2.1516 -0.5812 -1.4523
## Par. upper-bounds: 57.1675 13.5336 38.8971 40.6973 0.7334 0.4622 0.5885 0.215 0.5217 0.6939 0.7528 0.0843 0.2375 1.01 0.4664 1.3732 0.1027 0.7588 0.3493 1.0152 -0.1158 2.3314 1.0816 1.2265 -0.0039 1.8733 0.4465 1.4933 3.167 -0.0836 0.9714 1.7057 2.6433 0.4553 1.35 1.4038
## Final Estimates: 34.62866 -7.684263 13.46284 17.85386 0.3163284 -0.657186 -0.395613 0.214256 0.1553746 -0.03625559 0.4939399 -0.8874217 -0.2635904 0.3023819 -0.3983098 1.023689 -0.3532009 0.6335625 -0.2521733 0.5895162 -0.6860601 0.9634497 0.4559348 -0.626974 -0.6481965 0.5358743 -0.4745243 0.6625949 0.8327856 -0.4749061 0.5156852 -0.3370611 0.8767824 -0.9516149 0.269971 -0.1762849## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 34.62866 21.19736 1.634 0.10234
## loneliness_state_pmc -7.68426 21.22154 -0.362 0.71728
## socintsatisfaction_state_pmc 13.46284 37.74208 0.357 0.72131
## responsiveness_state_pmc 17.85386 25.22611 0.708 0.47910
## depressedmood_state 0.31633 0.40513 0.781 0.43492
## loneliness_state_pmc -0.65719 NaN NaN NaN
## socintsatisfaction_state_pmc -0.39561 0.21981 -1.800 0.07189 .
## responsiveness_state_pmc 0.21426 NaN NaN NaN
## depressedmood_state 0.15537 0.41781 0.372 0.70998
## loneliness_state_pmc -0.03626 NaN NaN NaN
## socintsatisfaction_state_pmc 0.49394 NaN NaN NaN
## responsiveness_state_pmc -0.88742 0.29280 -3.031 0.00244 **
## depressedmood_state -0.26359 0.74095 -0.356 0.72203
## loneliness_state_pmc 0.30238 NaN NaN NaN
## socintsatisfaction_state_pmc -0.39831 NaN NaN NaN
## responsiveness_state_pmc 1.02369 0.08629 11.864 < 2e-16 ***
## depressedmood_state -0.35320 0.48721 -0.725 0.46848
## loneliness_state_pmc 0.63356 NaN NaN NaN
## socintsatisfaction_state_pmc -0.25217 NaN NaN NaN
## responsiveness_state_pmc 0.58952 NaN NaN NaN
## -0.68606 0.53259 -1.288 0.19769
## 0.96345 NaN NaN NaN
## 0.45593 0.26865 1.697 0.08967 .
## -0.62697 NaN NaN NaN
## -0.64820 0.45407 -1.428 0.15343
## 0.53587 0.12947 4.139 3.49e-05 ***
## -0.47452 NaN NaN NaN
## 0.66259 0.24530 2.701 0.00691 **
## 0.83279 0.82346 1.011 0.31186
## -0.47491 NaN NaN NaN
## 0.51569 NaN NaN NaN
## -0.33706 0.26493 -1.272 0.20328
## 0.87678 0.54257 1.616 0.10610
## -0.95161 NaN NaN NaN
## 0.26997 NaN NaN NaN
## -0.17628 0.11465 -1.538 0.12415
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 34.62866 -7.684263 13.46284 17.85386
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.316 -0.6572 -0.396 0.214
## [2,] 0.155 -0.0363 0.494 -0.887
## [3,] -0.264 0.3024 -0.398 1.024
## [4,] -0.353 0.6336 -0.252 0.590
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.686 -0.963 -0.456 0.627
## [2,] 0.648 -0.536 0.475 -0.663
## [3,] -0.833 0.475 -0.516 0.337
## [4,] -0.877 0.952 -0.270 0.176
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 538.5286 364.1328 -442.1950 -346.0043
## [2,] 364.1328 405.2169 -364.2382 -313.9123
## [3,] -442.1950 -364.2382 600.8941 427.5467
## [4,] -346.0043 -313.9123 427.5467 473.8588
## ----
## aic= 22.77105
## bic= 23.92742
## Number of parameters: 36
## initial estimates: 2.5253 -1.5568 0.7232 0.0789 0.3494 0.1973 -0.2284 0.0411 0.2929 0.1778 0.5805 0.1411 -2e-04 -0.0451 -0.0717 -0.0307 -0.2023 -0.169 0.1343 0.2627 -0.3457 -0.1596 -0.6705 -0.0847 -0.3996 -0.2596 -1.6215 0.0782 -0.0661 0.0973 0.2347 -0.0132 0.587 -0.0683 -1.0776 -0.3997
## Par. lower-bounds: 0.6055 -4.4496 -0.1944 -2.4677 0.0673 -0.0104 -0.8417 -0.1688 -0.1321 -0.1352 -0.3436 -0.1752 -0.135 -0.1443 -0.3648 -0.131 -0.5765 -0.4445 -0.6793 -0.0157 -1.1953 -0.69 -2.3895 -0.5617 -1.6798 -1.0589 -4.2118 -0.6407 -0.4722 -0.1562 -0.5869 -0.2413 -0.54 -0.7718 -3.3579 -1.0325
## Par. upper-bounds: 4.4451 1.3359 1.6408 2.6255 0.6315 0.405 0.3849 0.251 0.718 0.4907 1.5047 0.4573 0.1347 0.0542 0.2214 0.0696 0.1719 0.1065 0.9478 0.5411 0.5039 0.3708 1.0486 0.3924 0.8806 0.5396 0.9687 0.797 0.34 0.3508 1.0564 0.2148 1.714 0.6353 1.2027 0.2332
## Final Estimates: 2.221421 -1.965367 0.4290945 1.039136 0.2089229 0.2202445 0.3849016 -0.07718998 0.5442444 0.4907413 0.7339272 -0.1752173 -0.1349895 -0.1443286 0.2214385 -0.1310372 -0.4312261 0.00671411 -0.3911419 0.5411223 -0.05863278 -0.09078985 -0.8105748 0.07801393 -0.684131 -0.5638664 -1.211826 0.5606204 0.3399956 0.05017319 -0.1839244 0.1009317 0.4608176 -0.1971737 0.4070572 -0.313957## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 2.221421 1.236096 1.797 0.07232 .
## loneliness_state_pmc -1.965367 2.486976 -0.790 0.42937
## socintsatisfaction_state_pmc 0.429095 0.749854 0.572 0.56716
## responsiveness_state_pmc 1.039136 0.378324 2.747 0.00602 **
## depressedmood_state 0.208923 0.254551 0.821 0.41179
## loneliness_state_pmc 0.220244 0.180534 1.220 0.22248
## socintsatisfaction_state_pmc 0.384902 NaN NaN NaN
## responsiveness_state_pmc -0.077190 NaN NaN NaN
## depressedmood_state 0.544244 0.952211 0.572 0.56762
## loneliness_state_pmc 0.490741 0.496616 0.988 0.32307
## socintsatisfaction_state_pmc 0.733927 NaN NaN NaN
## responsiveness_state_pmc -0.175217 0.162628 -1.077 0.28130
## depressedmood_state -0.134990 0.204370 -0.661 0.50892
## loneliness_state_pmc -0.144329 0.144857 -0.996 0.31908
## socintsatisfaction_state_pmc 0.221439 0.213129 1.039 0.29881
## responsiveness_state_pmc -0.131037 0.243485 -0.538 0.59046
## depressedmood_state -0.431226 NaN NaN NaN
## loneliness_state_pmc 0.006714 0.244679 0.027 0.97811
## socintsatisfaction_state_pmc -0.391142 0.778793 -0.502 0.61550
## responsiveness_state_pmc 0.541122 0.061422 8.810 < 2e-16 ***
## -0.058633 0.349511 -0.168 0.86677
## -0.090790 0.104470 -0.869 0.38482
## -0.810575 NaN NaN NaN
## 0.078014 NaN NaN NaN
## -0.684131 0.925796 -0.739 0.45993
## -0.563866 0.478874 -1.177 0.23900
## -1.211826 NaN NaN NaN
## 0.560620 0.139705 4.013 6e-05 ***
## 0.339996 0.206046 1.650 0.09892 .
## 0.050173 0.177417 0.283 0.77733
## -0.183924 0.285457 -0.644 0.51937
## 0.100932 0.261068 0.387 0.69904
## 0.460818 NaN NaN NaN
## -0.197174 0.164745 -1.197 0.23137
## 0.407057 0.210028 1.938 0.05261 .
## -0.313957 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 2.221421 -1.965367 0.4290945 1.039136
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.209 0.22024 0.385 -0.0772
## [2,] 0.544 0.49074 0.734 -0.1752
## [3,] -0.135 -0.14433 0.221 -0.1310
## [4,] -0.431 0.00671 -0.391 0.5411
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0586 0.0908 0.811 -0.078
## [2,] 0.6841 0.5639 1.212 -0.561
## [3,] -0.3400 -0.0502 0.184 -0.101
## [4,] -0.4608 0.1972 -0.407 0.314
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 36.665064 25.790724 -3.477519 0.951643
## [2,] 25.790724 66.752726 -4.487374 5.038017
## [3,] -3.477519 -4.487374 10.958296 5.248498
## [4,] 0.951643 5.038017 5.248498 57.115183
## ----
## aic= 14.85506
## bic= 16.01143
## Number of parameters: 36
## initial estimates: 44.2767 7.1694 -3.6124 -21.2008 -0.086 -0.0284 -0.2271 -0.0055 -0.1254 0.1483 -7e-04 0.0418 0.0809 -0.168 0.2893 -0.3305 0.5024 -0.4894 0.2121 -0.0839 0.3747 -0.7755 -0.33 0.1458 0.266 -0.3161 -0.5206 0.3703 -0.3618 0.9149 0.7457 -0.2449 -0.7591 1.5479 0.3597 -0.2321
## Par. lower-bounds: 26.3955 -8.5933 -22.7949 -36.6782 -0.5321 -0.5161 -0.563 -0.433 -0.5186 -0.2816 -0.2969 -0.3351 -0.3977 -0.6911 -0.0712 -0.7892 0.1163 -0.9115 -0.0787 -0.454 -0.432 -1.9513 -1.1828 -0.7217 -0.4451 -1.3527 -1.2724 -0.3945 -1.2271 -0.3465 -0.1692 -1.1756 -1.4574 0.5302 -0.3785 -0.983
## Par. upper-bounds: 62.1579 22.9321 15.5701 -5.7233 0.3601 0.4592 0.1089 0.4221 0.2679 0.5782 0.2955 0.4187 0.5595 0.3551 0.6497 0.1282 0.8886 -0.0673 0.503 0.2862 1.1813 0.4003 0.5229 1.0134 0.9771 0.7204 0.2312 1.135 0.5036 2.1763 1.6606 0.6858 -0.0609 2.5657 1.0979 0.5188
## Final Estimates: 44.25764 7.107023 -3.316471 -21.04611 -0.1368634 0.4592199 -0.2643625 0.2266096 -0.1665881 0.578151 -0.2491381 0.2051141 0.07654613 -0.6911472 0.5928986 -0.3511256 0.5561149 -0.9114814 0.2666638 0.2861673 0.3164948 -0.5437887 0.152296 -0.4119894 0.2316481 -0.4022926 0.231209 -0.2873222 -0.1643391 0.6429421 -0.1691546 0.08647885 -0.4010957 0.6017084 -0.1647779 -0.2300066## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 44.25764 NaN NaN NaN
## loneliness_state_pmc 7.10702 NaN NaN NaN
## socintsatisfaction_state_pmc -3.31647 NaN NaN NaN
## responsiveness_state_pmc -21.04611 NaN NaN NaN
## depressedmood_state -0.13686 NaN NaN NaN
## loneliness_state_pmc 0.45922 NaN NaN NaN
## socintsatisfaction_state_pmc -0.26436 NaN NaN NaN
## responsiveness_state_pmc 0.22661 NaN NaN NaN
## depressedmood_state -0.16659 NaN NaN NaN
## loneliness_state_pmc 0.57815 0.28065 2.06 0.0394 *
## socintsatisfaction_state_pmc -0.24914 NaN NaN NaN
## responsiveness_state_pmc 0.20511 NaN NaN NaN
## depressedmood_state 0.07655 NaN NaN NaN
## loneliness_state_pmc -0.69115 NaN NaN NaN
## socintsatisfaction_state_pmc 0.59290 NaN NaN NaN
## responsiveness_state_pmc -0.35113 NaN NaN NaN
## depressedmood_state 0.55611 NaN NaN NaN
## loneliness_state_pmc -0.91148 NaN NaN NaN
## socintsatisfaction_state_pmc 0.26666 NaN NaN NaN
## responsiveness_state_pmc 0.28617 NaN NaN NaN
## 0.31649 NaN NaN NaN
## -0.54379 NaN NaN NaN
## 0.15230 NaN NaN NaN
## -0.41199 NaN NaN NaN
## 0.23165 NaN NaN NaN
## -0.40229 NaN NaN NaN
## 0.23121 NaN NaN NaN
## -0.28732 NaN NaN NaN
## -0.16434 NaN NaN NaN
## 0.64294 NaN NaN NaN
## -0.16915 NaN NaN NaN
## 0.08648 NaN NaN NaN
## -0.40110 NaN NaN NaN
## 0.60171 NaN NaN NaN
## -0.16478 NaN NaN NaN
## -0.23001 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 44.25764 7.107023 -3.316471 -21.04611
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.1369 0.459 -0.264 0.227
## [2,] -0.1666 0.578 -0.249 0.205
## [3,] 0.0765 -0.691 0.593 -0.351
## [4,] 0.5561 -0.911 0.267 0.286
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.316 0.544 -0.152 0.4120
## [2,] -0.232 0.402 -0.231 0.2873
## [3,] 0.164 -0.643 0.169 -0.0865
## [4,] 0.401 -0.602 0.165 0.2300
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 323.86127 213.02491 -104.5184 -90.06472
## [2,] 213.02491 242.06042 -109.6812 -89.06925
## [3,] -104.51839 -109.68117 282.2879 127.52047
## [4,] -90.06472 -89.06925 127.5205 198.48910
## ----
## aic= 21.76709
## bic= 22.92346
## Number of parameters: 36
## initial estimates: 24.9425 -5.4349 -6.0984 0.6399 0.372 0.1566 0.0133 0.0324 0.1174 0.3765 -0.092 -0.2026 0.1223 -0.3181 0.4707 -0.0591 -0.0195 -0.1359 -0.0371 0.5741 -0.3408 0.2048 -0.2414 0.5109 0.2503 -0.1553 0.2678 0.7975 0.1136 0.2807 0.2145 -0.2667 0.0567 0.1412 -0.1097 0.1368
## Par. lower-bounds: 11.7368 -22.7182 -23.9722 -10.8225 0.0487 -0.0775 -0.2331 -0.3057 -0.3057 0.0702 -0.4145 -0.6452 -0.3153 -0.6348 0.1372 -0.5168 -0.3002 -0.3391 -0.251 0.2806 -0.9163 -0.4386 -0.8204 -0.5778 -0.5028 -0.9974 -0.4899 -0.6274 -0.6653 -0.5902 -0.5691 -1.7403 -0.4428 -0.4173 -0.6122 -0.8082
## Par. upper-bounds: 38.1482 11.8483 11.7754 12.1023 0.6953 0.3906 0.2597 0.3706 0.5406 0.6828 0.2305 0.2399 0.5599 -0.0013 0.8042 0.3986 0.2611 0.0672 0.1768 0.8676 0.2346 0.8483 0.3376 1.5996 1.0034 0.6869 1.0256 2.2224 0.8925 1.1516 0.9982 1.2069 0.5562 0.6998 0.3929 1.0818
## Final Estimates: 25.02605 -5.377282 -6.056349 0.656483 0.3700614 0.02459051 -0.1796877 0.3602161 0.09010999 0.1042856 -0.4113177 0.1653198 0.1178384 -0.2258056 0.1960334 0.3892205 -0.006362591 0.06613542 -0.1884818 0.4392778 -0.03282647 0.2051685 0.3018358 -0.4525942 0.1616473 0.5086138 0.8226433 -0.4059317 0.1264525 -0.031436 0.5074198 -0.5913338 -0.08557602 -0.2881228 0.08226232 0.4088629
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 25.026049 8.244681 3.035 0.00240 **
## loneliness_state_pmc -5.377282 7.494726 -0.717 0.47308
## socintsatisfaction_state_pmc -6.056349 10.119926 -0.598 0.54953
## responsiveness_state_pmc 0.656483 3.269872 0.201 0.84088
## depressedmood_state 0.370061 0.190616 1.941 0.05221 .
## loneliness_state_pmc 0.024591 0.446597 0.055 0.95609
## socintsatisfaction_state_pmc -0.179688 0.170678 -1.053 0.29244
## responsiveness_state_pmc 0.360216 0.296048 1.217 0.22370
## depressedmood_state 0.090110 0.171659 0.525 0.59963
## loneliness_state_pmc 0.104286 0.207178 0.503 0.61471
## socintsatisfaction_state_pmc -0.411318 0.136112 -3.022 0.00251 **
## responsiveness_state_pmc 0.165320 0.216192 0.765 0.44446
## depressedmood_state 0.117838 0.241345 0.488 0.62537
## loneliness_state_pmc -0.225806 0.202257 -1.116 0.26424
## socintsatisfaction_state_pmc 0.196033 0.179274 1.093 0.27418
## responsiveness_state_pmc 0.389221 0.301722 1.290 0.19705
## depressedmood_state -0.006363 0.080218 -0.079 0.93678
## loneliness_state_pmc 0.066135 0.144972 0.456 0.64825
## socintsatisfaction_state_pmc -0.188482 0.118997 -1.584 0.11321
## responsiveness_state_pmc 0.439278 0.201503 2.180 0.02926 *
## -0.032826 0.215815 -0.152 0.87910
## 0.205168 0.710992 0.289 0.77291
## 0.301836 0.206279 1.463 0.14340
## -0.452594 0.366088 -1.236 0.21635
## 0.161647 0.206351 0.783 0.43342
## 0.508614 0.236976 2.146 0.03185 *
## 0.822643 0.181042 4.544 5.52e-06 ***
## -0.405932 0.286184 -1.418 0.15607
## 0.126452 0.324801 0.389 0.69704
## -0.031436 0.238735 -0.132 0.89524
## 0.507420 0.205795 2.466 0.01368 *
## -0.591334 0.474072 -1.247 0.21227
## -0.085576 0.102963 -0.831 0.40590
## -0.288123 0.161415 -1.785 0.07426 .
## 0.082262 0.114177 0.720 0.47123
## 0.408863 0.157178 2.601 0.00929 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 25.02605 -5.377282 -6.056349 0.656483
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.37006 0.0246 -0.180 0.360
## [2,] 0.09011 0.1043 -0.411 0.165
## [3,] 0.11784 -0.2258 0.196 0.389
## [4,] -0.00636 0.0661 -0.188 0.439
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0328 -0.2052 -0.3018 0.453
## [2,] -0.1616 -0.5086 -0.8226 0.406
## [3,] -0.1265 0.0314 -0.5074 0.591
## [4,] 0.0856 0.2881 -0.0823 -0.409
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 82.16066 33.65208 -19.57441 -10.40419
## [2,] 33.65208 93.18640 -55.99475 -31.93303
## [3,] -19.57441 -55.99475 102.08244 40.04819
## [4,] -10.40419 -31.93303 40.04819 43.96258
## ----
## aic= 17.32035
## bic= 18.47672
## Number of parameters: 36
## initial estimates: 19.0017 2.6407 1.0427 0.7305 0.0651 -0.0183 -0.0649 -0.1105 -0.0092 0.2997 0.0251 -0.2608 -1e-04 -0.2295 0.7569 0.0112 0.0226 -0.2428 -0.0601 0.7665 0.0258 0.0094 -0.5179 1.2518 0.1344 -0.7257 0.0197 0.451 -0.1422 0.1731 -0.1895 0.5653 -0.0047 0.1036 -0.1881 0.2512
## Par. lower-bounds: 11.9392 -5.0156 -3.7331 -2.8913 -0.2723 -0.3333 -0.3953 -0.5302 -0.3749 -0.0418 -0.333 -0.7158 -0.2283 -0.4425 0.5335 -0.2726 -0.1504 -0.4043 -0.2296 0.5513 -1.0357 -0.8003 -1.5462 0.0294 -1.0164 -1.6034 -1.095 -0.874 -0.86 -0.3743 -0.8848 -0.2613 -0.5491 -0.3116 -0.7154 -0.3757
## Par. upper-bounds: 26.0643 10.2969 5.8184 4.3524 0.4025 0.2967 0.2654 0.3092 0.3566 0.6411 0.3833 0.1942 0.228 -0.0165 0.9803 0.2951 0.1956 -0.0813 0.1093 0.9818 1.0873 0.819 0.5104 2.4741 1.2851 0.152 1.1345 1.7761 0.5756 0.7206 0.5059 1.3918 0.5397 0.5189 0.3393 0.878
## Final Estimates: 19.01443 2.632946 1.144184 0.6768687 -0.03511186 -0.3070812 0.04694127 -0.1776166 -0.1774328 0.6411319 0.1580576 -0.1036352 -0.006558981 -0.4425076 0.7612869 -0.2204872 -0.001174124 -0.08126605 0.0875649 0.6016427 0.009235183 0.3487088 -0.7751631 0.1419754 0.188978 -0.5361578 -0.5054941 -0.2109955 0.1163192 0.3728821 0.2633848 0.2231982 0.1344455 -0.07418713 0.02677239 0.1711629## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 19.014426 0.733696 25.916 < 2e-16 ***
## loneliness_state_pmc 2.632946 NaN NaN NaN
## socintsatisfaction_state_pmc 1.144184 3.249523 0.352 0.72476
## responsiveness_state_pmc 0.676869 9.163713 0.074 0.94112
## depressedmood_state -0.035112 NaN NaN NaN
## loneliness_state_pmc -0.307081 NaN NaN NaN
## socintsatisfaction_state_pmc 0.046941 0.263281 0.178 0.85849
## responsiveness_state_pmc -0.177617 0.244217 -0.727 0.46705
## depressedmood_state -0.177433 NaN NaN NaN
## loneliness_state_pmc 0.641132 NaN NaN NaN
## socintsatisfaction_state_pmc 0.158058 0.117369 1.347 0.17809
## responsiveness_state_pmc -0.103635 0.247954 -0.418 0.67598
## depressedmood_state -0.006559 0.068548 -0.096 0.92377
## loneliness_state_pmc -0.442508 NaN NaN NaN
## socintsatisfaction_state_pmc 0.761287 0.175800 4.330 1.49e-05 ***
## responsiveness_state_pmc -0.220487 0.361589 -0.610 0.54201
## depressedmood_state -0.001174 0.485392 -0.002 0.99807
## loneliness_state_pmc -0.081266 NaN NaN NaN
## socintsatisfaction_state_pmc 0.087565 0.165609 0.529 0.59698
## responsiveness_state_pmc 0.601643 0.197069 3.053 0.00227 **
## 0.009235 0.229331 0.040 0.96788
## 0.348709 NaN NaN NaN
## -0.775163 0.296292 -2.616 0.00889 **
## 0.141975 0.409976 0.346 0.72912
## 0.188978 NaN NaN NaN
## -0.536158 NaN NaN NaN
## -0.505494 0.216442 -2.335 0.01952 *
## -0.210995 0.354465 -0.595 0.55168
## 0.116319 NaN NaN NaN
## 0.372882 NaN NaN NaN
## 0.263385 0.219210 1.202 0.22955
## 0.223198 0.424000 0.526 0.59860
## 0.134445 0.474419 0.283 0.77688
## -0.074187 0.039077 -1.898 0.05763 .
## 0.026772 0.231704 0.116 0.90801
## 0.171163 0.291820 0.587 0.55751
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 19.01443 2.632946 1.144184 0.6768687
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.03511 -0.3071 0.0469 -0.178
## [2,] -0.17743 0.6411 0.1581 -0.104
## [3,] -0.00656 -0.4425 0.7613 -0.220
## [4,] -0.00117 -0.0813 0.0876 0.602
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.00924 -0.3487 0.7752 -0.142
## [2,] -0.18898 0.5362 0.5055 0.211
## [3,] -0.11632 -0.3729 -0.2634 -0.223
## [4,] -0.13445 0.0742 -0.0268 -0.171
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 154.39003 115.63460 -27.08213 -29.78605
## [2,] 115.63460 190.66437 -15.06278 -20.77481
## [3,] -27.08213 -15.06278 72.43329 47.68708
## [4,] -29.78605 -20.77481 47.68708 64.17918
## ----
## aic= 18.38227
## bic= 19.53864
## Number of parameters: 36
## initial estimates: 13.0813 -4.1265 3.572 4.9905 0.5073 0.3497 0.1572 -0.2486 0.1818 -0.0259 -0.0433 -0.1462 -0.1784 -0.1859 0.1113 -0.0411 -0.1519 0.2277 0.1667 0.1547 -0.3984 0.2555 -0.1106 0.1684 -0.1717 -0.0564 -0.103 0.148 0.7886 -0.1085 0.7745 -1.2391 0.0788 0.1611 0.0975 -0.886
## Par. lower-bounds: 4.1832 -11.3213 -12.5864 -2.9081 0.2034 -0.1038 -0.0514 -0.5898 -0.064 -0.3926 -0.2119 -0.4221 -0.7303 -1.0095 -0.2674 -0.6607 -0.4216 -0.1749 -0.0184 -0.1482 -1.2436 -0.9599 -0.9177 -0.7712 -0.8551 -1.0391 -0.7556 -0.6117 -0.7463 -2.3154 -0.6911 -2.9453 -0.6714 -0.9177 -0.6189 -1.72
## Par. upper-bounds: 21.9793 3.0683 19.7304 12.8891 0.8112 0.8032 0.3657 0.0926 0.4275 0.3408 0.1253 0.1297 0.3735 0.6376 0.49 0.5786 0.1179 0.6302 0.3518 0.4576 0.4469 1.4708 0.6964 1.1079 0.5118 0.9263 0.5496 0.9077 2.3235 2.0985 2.24 0.4672 0.8291 1.2399 0.8139 -0.0519
## Final Estimates: 12.9635 -4.020367 3.79585 4.682697 0.4928824 0.8031962 0.20536 0.09262246 0.2056699 0.1193486 0.1207754 -0.4220672 -0.3003076 0.4159531 -0.2673656 0.2553781 -0.1717113 0.3638039 -0.01839156 -0.01252115 -0.2391931 -0.7635404 -0.2951265 -0.2975951 -0.3163638 -0.2352083 -0.4124059 0.3957121 0.8343036 -0.9479779 0.9047444 -0.4683833 0.1117496 -0.1267607 0.4248874 -0.05192689## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 12.96350 NaN NaN NaN
## loneliness_state_pmc -4.02037 NaN NaN NaN
## socintsatisfaction_state_pmc 3.79585 NaN NaN NaN
## responsiveness_state_pmc 4.68270 NaN NaN NaN
## depressedmood_state 0.49288 NaN NaN NaN
## loneliness_state_pmc 0.80320 NaN NaN NaN
## socintsatisfaction_state_pmc 0.20536 NaN NaN NaN
## responsiveness_state_pmc 0.09262 NaN NaN NaN
## depressedmood_state 0.20567 NaN NaN NaN
## loneliness_state_pmc 0.11935 NaN NaN NaN
## socintsatisfaction_state_pmc 0.12078 0.09609 1.257 0.20881
## responsiveness_state_pmc -0.42207 NaN NaN NaN
## depressedmood_state -0.30031 NaN NaN NaN
## loneliness_state_pmc 0.41595 NaN NaN NaN
## socintsatisfaction_state_pmc -0.26737 NaN NaN NaN
## responsiveness_state_pmc 0.25538 NaN NaN NaN
## depressedmood_state -0.17171 NaN NaN NaN
## loneliness_state_pmc 0.36380 0.47735 0.762 0.44598
## socintsatisfaction_state_pmc -0.01839 NaN NaN NaN
## responsiveness_state_pmc -0.01252 NaN NaN NaN
## -0.23919 NaN NaN NaN
## -0.76354 NaN NaN NaN
## -0.29513 NaN NaN NaN
## -0.29760 NaN NaN NaN
## -0.31636 NaN NaN NaN
## -0.23521 NaN NaN NaN
## -0.41241 0.15233 -2.707 0.00678 **
## 0.39571 NaN NaN NaN
## 0.83430 NaN NaN NaN
## -0.94798 NaN NaN NaN
## 0.90474 NaN NaN NaN
## -0.46838 NaN NaN NaN
## 0.11175 NaN NaN NaN
## -0.12676 0.48217 -0.263 0.79263
## 0.42489 NaN NaN NaN
## -0.05193 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 12.9635 -4.020367 3.79585 4.682697
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.493 0.803 0.2054 0.0926
## [2,] 0.206 0.119 0.1208 -0.4221
## [3,] -0.300 0.416 -0.2674 0.2554
## [4,] -0.172 0.364 -0.0184 -0.0125
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.239 0.764 0.295 0.2976
## [2,] 0.316 0.235 0.412 -0.3957
## [3,] -0.834 0.948 -0.905 0.4684
## [4,] -0.112 0.127 -0.425 0.0519
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 176.26067 76.11422 -145.4410 -44.23157
## [2,] 76.11422 104.80526 -121.0470 -43.29097
## [3,] -145.44102 -121.04703 486.6132 173.08232
## [4,] -44.23157 -43.29097 173.0823 183.47374
## ----
## aic= 21.04192
## bic= 22.19829
## Number of parameters: 36
## initial estimates: 4.8841 -5.999 5.2485 0.9882 0.8624 -0.4156 -0.0544 0.0117 0.2317 -0.0028 0.1416 0 -0.2156 -0.0394 0.2621 0.2635 -0.0632 -0.1864 0.0476 0.2283 -0.6611 -0.1027 -0.2434 0.2687 -0.2164 -0.6667 -0.2636 -0.3161 0.2237 1.3739 -0.0878 0.2021 0.3276 -0.1745 0.1137 -0.3105
## Par. lower-bounds: -1.4573 -10.8014 -4.14 -5.0055 0.6641 -0.7782 -0.2953 -0.3939 0.0816 -0.2774 -0.0408 -0.3072 -0.5092 -0.5763 -0.0946 -0.3371 -0.2507 -0.5291 -0.1801 -0.1551 -1.2243 -1.2258 -0.6708 -0.4071 -0.643 -1.5172 -0.5872 -0.8279 -0.6102 -0.2889 -0.7205 -0.7985 -0.2048 -1.236 -0.2902 -0.9492
## Par. upper-bounds: 11.2255 -1.1965 14.637 6.982 1.0606 -0.053 0.1866 0.4174 0.3819 0.2718 0.3241 0.3072 0.078 0.4975 0.6188 0.8641 0.1242 0.1564 0.2753 0.6117 -0.0979 1.0204 0.1839 0.9445 0.2101 0.1839 0.0601 0.1958 1.0576 3.0367 0.5449 1.2027 0.8599 0.8871 0.5176 0.3283
## Final Estimates: 4.572334 -5.819334 5.291842 1.094227 0.8482362 -0.4513614 0.002126582 -0.3939069 0.2071957 0.2718359 0.05886013 0.3072065 -0.1771288 -0.5686885 0.1609906 -0.336822 -0.0342386 -0.4147612 -0.05245409 0.4849243 -0.3554915 0.2500516 -0.179672 0.5389722 -0.03988408 -0.3934378 0.05761993 -0.3759819 0.02223842 0.7820351 -0.1861545 1.038463 0.1592037 0.108473 0.271553 -0.5019266## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 4.572334 1.331703 3.433 0.000596 ***
## loneliness_state_pmc -5.819334 1.230547 -4.729 2.26e-06 ***
## socintsatisfaction_state_pmc 5.291842 10.226592 0.517 0.604836
## responsiveness_state_pmc 1.094227 5.162871 0.212 0.832153
## depressedmood_state 0.848236 0.051920 16.338 < 2e-16 ***
## loneliness_state_pmc -0.451361 0.480671 -0.939 0.347719
## socintsatisfaction_state_pmc 0.002127 0.393619 0.005 0.995689
## responsiveness_state_pmc -0.393907 0.801695 -0.491 0.623184
## depressedmood_state 0.207196 0.048726 4.252 2.12e-05 ***
## loneliness_state_pmc 0.271836 NaN NaN NaN
## socintsatisfaction_state_pmc 0.058860 NaN NaN NaN
## responsiveness_state_pmc 0.307207 0.370437 0.829 0.406930
## depressedmood_state -0.177129 0.403088 -0.439 0.660351
## loneliness_state_pmc -0.568689 2.068778 -0.275 0.783400
## socintsatisfaction_state_pmc 0.160991 1.058573 0.152 0.879122
## responsiveness_state_pmc -0.336822 0.604528 -0.557 0.577415
## depressedmood_state -0.034239 0.205903 -0.166 0.867933
## loneliness_state_pmc -0.414761 1.036790 -0.400 0.689124
## socintsatisfaction_state_pmc -0.052454 0.416988 -0.126 0.899896
## responsiveness_state_pmc 0.484924 0.273908 1.770 0.076662 .
## -0.355491 0.183961 -1.932 0.053307 .
## 0.250052 0.403219 0.620 0.535167
## -0.179672 0.489161 -0.367 0.713390
## 0.538972 0.862930 0.625 0.532244
## -0.039884 0.136708 -0.292 0.770480
## -0.393438 NaN NaN NaN
## 0.057620 0.069633 0.827 0.407962
## -0.375982 0.427683 -0.879 0.379340
## 0.022238 0.463383 0.048 0.961723
## 0.782035 1.988429 0.393 0.694103
## -0.186155 1.194894 -0.156 0.876197
## 1.038463 0.688809 1.508 0.131651
## 0.159204 0.203082 0.784 0.433076
## 0.108473 0.844278 0.128 0.897769
## 0.271553 0.467088 0.581 0.560989
## -0.501927 0.269750 -1.861 0.062785 .
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 4.572334 -5.819334 5.291842 1.094227
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.8482 -0.451 0.00213 -0.394
## [2,] 0.2072 0.272 0.05886 0.307
## [3,] -0.1771 -0.569 0.16099 -0.337
## [4,] -0.0342 -0.415 -0.05245 0.485
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.3555 -0.250 0.1797 -0.539
## [2,] 0.0399 0.393 -0.0576 0.376
## [3,] -0.0222 -0.782 0.1862 -1.038
## [4,] -0.1592 -0.108 -0.2716 0.502
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 103.02783 23.99614 -50.58522 -37.96849
## [2,] 23.99614 72.80471 -24.90252 -22.16027
## [3,] -50.58522 -24.90252 235.52431 79.16614
## [4,] -37.96849 -22.16027 79.16614 112.77875
## ----
## aic= 19.59198
## bic= 20.74835
## Number of parameters: 36
## initial estimates: 11.9477 0.6748 4.0838 2.1735 0.3512 -0.2944 -0.1048 0.0238 0.0099 0.114 0.005 -0.1871 -0.2355 -0.2288 0.4042 -0.199 -0.1663 -0.0115 0.1144 0.3079 0.3558 0.2625 0.3944 -0.0301 -0.2861 -0.0364 0.0305 -0.0015 -0.8172 -0.5178 -0.554 -0.5627 0.297 -0.6835 -0.2217 -0.6816
## Par. lower-bounds: 5.4462 -8.1422 -12.4848 -7.1999 -0.0156 -0.5811 -0.252 -0.2469 -0.4876 -0.2749 -0.1947 -0.5542 -1.1702 -0.9595 0.0289 -0.8888 -0.6951 -0.4249 -0.0979 -0.0824 -0.6062 -0.4564 0.0455 -0.509 -1.5906 -1.0114 -0.4426 -0.6509 -3.2686 -2.3499 -1.4429 -1.7831 -1.0898 -1.72 -0.7246 -1.372
## Par. upper-bounds: 18.4493 9.4918 20.6524 11.5468 0.718 -0.0076 0.0425 0.2944 0.5073 0.5029 0.2047 0.1799 0.6993 0.502 0.7794 0.4907 0.3625 0.4019 0.3267 0.6981 1.3177 0.9815 0.7432 0.4488 1.0184 0.9386 0.5035 0.648 1.6342 1.3143 0.335 0.6577 1.6839 0.353 0.2812 0.0089
## Final Estimates: 11.97334 0.6667388 4.041771 2.145461 0.3213576 -0.007611028 -0.2520313 -0.2468767 -0.05795387 0.1265275 -0.07905428 -0.3606364 -0.09997776 0.3759041 0.04451183 -0.04185725 -0.08554496 0.202924 -0.09792807 0.669068 0.04553616 -0.121598 0.3152509 0.1820013 0.38463 -0.1198527 0.2419505 0.1202478 -0.8281607 -0.6394774 -0.1041452 -0.001302059 -0.1093684 -0.2867308 0.04006934 -0.407858## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 11.973341 3.405942 3.515 0.000439 ***
## loneliness_state_pmc 0.666739 NaN NaN NaN
## socintsatisfaction_state_pmc 4.041771 4.646181 0.870 0.384348
## responsiveness_state_pmc 2.145461 NaN NaN NaN
## depressedmood_state 0.321358 0.189355 1.697 0.089674 .
## loneliness_state_pmc -0.007611 NaN NaN NaN
## socintsatisfaction_state_pmc -0.252031 0.040216 -6.267 3.68e-10 ***
## responsiveness_state_pmc -0.246877 NaN NaN NaN
## depressedmood_state -0.057954 NaN NaN NaN
## loneliness_state_pmc 0.126527 NaN NaN NaN
## socintsatisfaction_state_pmc -0.079054 0.149561 -0.529 0.597100
## responsiveness_state_pmc -0.360636 0.256014 -1.409 0.158937
## depressedmood_state -0.099978 0.264297 -0.378 0.705224
## loneliness_state_pmc 0.375904 0.614104 0.612 0.540460
## socintsatisfaction_state_pmc 0.044512 0.240022 0.185 0.852877
## responsiveness_state_pmc -0.041857 NaN NaN NaN
## depressedmood_state -0.085545 NaN NaN NaN
## loneliness_state_pmc 0.202924 NaN NaN NaN
## socintsatisfaction_state_pmc -0.097928 NaN NaN NaN
## responsiveness_state_pmc 0.669068 NaN NaN NaN
## 0.045536 0.187217 0.243 0.807829
## -0.121598 NaN NaN NaN
## 0.315251 NaN NaN NaN
## 0.182001 NaN NaN NaN
## 0.384630 0.095747 4.017 5.89e-05 ***
## -0.119853 NaN NaN NaN
## 0.241950 0.136625 1.771 0.076576 .
## 0.120248 NaN NaN NaN
## -0.828161 0.387377 -2.138 0.032528 *
## -0.639477 0.652537 -0.980 0.327093
## -0.104145 0.269905 -0.386 0.699601
## -0.001302 NaN NaN NaN
## -0.109368 NaN NaN NaN
## -0.286731 NaN NaN NaN
## 0.040069 NaN NaN NaN
## -0.407858 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 11.97334 0.6667388 4.041771 2.145461
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.3214 -0.00761 -0.2520 -0.2469
## [2,] -0.0580 0.12653 -0.0791 -0.3606
## [3,] -0.1000 0.37590 0.0445 -0.0419
## [4,] -0.0855 0.20292 -0.0979 0.6691
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.0455 0.122 -0.3153 -0.1820
## [2,] -0.3846 0.120 -0.2420 -0.1202
## [3,] 0.8282 0.639 0.1041 0.0013
## [4,] 0.1094 0.287 -0.0401 0.4079
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 50.96716 47.25452 -77.33679 -43.83417
## [2,] 47.25452 131.91330 -159.05452 -85.82465
## [3,] -77.33679 -159.05452 526.79192 210.19592
## [4,] -43.83417 -85.82465 210.19592 163.26604
## ----
## aic= 19.49351
## bic= 20.64988
## Number of parameters: 36
## initial estimates: 34.7191 -13.0051 -1.9728 0.761 0.2079 -0.076 -0.0936 0.035 0.2609 0.0097 -0.2217 -0.1163 0.0881 0.073 0.4843 -0.1267 -0.0072 -0.1121 -0.2769 0.6885 -0.4972 -0.0656 0.0449 -0.0517 -0.079 -0.2903 0.2284 0.7031 0.3637 -0.4793 0.0437 0.4872 0.294 0.1242 0.1994 0.1686
## Par. lower-bounds: 20.1942 -34.3739 -25.8293 -18.8775 -0.1174 -0.2709 -0.2484 -0.1132 -0.2177 -0.277 -0.4495 -0.3344 -0.4462 -0.2471 0.2301 -0.3702 -0.447 -0.3756 -0.4862 0.4881 -1.1126 -0.5446 -0.3693 -0.5514 -0.9844 -0.995 -0.381 -0.0321 -0.647 -1.266 -0.6367 -0.3336 -0.538 -0.5234 -0.3606 -0.5071
## Par. upper-bounds: 49.244 8.3638 21.8836 20.3994 0.5331 0.1189 0.0612 0.1833 0.7394 0.2965 0.006 0.1018 0.6223 0.3932 0.7386 0.1167 0.4326 0.1515 -0.0676 0.8889 0.1182 0.4134 0.4591 0.4481 0.8264 0.4144 0.8378 1.4383 1.3745 0.3074 0.724 1.308 1.1261 0.7719 0.7594 0.8443
## Final Estimates: 34.67533 -13.13928 -1.99827 0.7752526 0.2514809 -0.2709278 -0.2484495 -0.08358617 0.2913314 0.2965118 -0.02219039 -0.2292184 0.06909238 -0.1587609 0.4661485 -0.3075195 0.002391317 -0.3673249 -0.4862463 0.6534474 -0.01545996 0.4109725 -0.04831714 0.4480506 0.2412797 -0.6081856 -0.2837328 0.7522423 -0.0374867 0.007089334 0.2903683 0.459303 0.1834709 -0.01254708 0.680673 -0.5070662## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 34.675330 6.822998 5.082 3.73e-07 ***
## loneliness_state_pmc -13.139280 6.093575 -2.156 0.031064 *
## socintsatisfaction_state_pmc -1.998270 12.353872 -0.162 0.871501
## responsiveness_state_pmc 0.775253 11.309177 0.069 0.945347
## depressedmood_state 0.251481 0.139501 1.803 0.071433 .
## loneliness_state_pmc -0.270928 0.229958 -1.178 0.238733
## socintsatisfaction_state_pmc -0.248449 0.156854 -1.584 0.113204
## responsiveness_state_pmc -0.083586 0.203486 -0.411 0.681241
## depressedmood_state 0.291331 0.122115 2.386 0.017046 *
## loneliness_state_pmc 0.296512 0.225820 1.313 0.189169
## socintsatisfaction_state_pmc -0.022190 0.132986 -0.167 0.867478
## responsiveness_state_pmc -0.229218 0.194757 -1.177 0.239218
## depressedmood_state 0.069092 0.269437 0.256 0.797617
## loneliness_state_pmc -0.158761 0.105743 -1.501 0.133254
## socintsatisfaction_state_pmc 0.466149 0.236398 1.972 0.048623 *
## responsiveness_state_pmc -0.307520 0.297176 -1.035 0.300759
## depressedmood_state 0.002391 0.241640 0.010 0.992104
## loneliness_state_pmc -0.367325 0.155973 -2.355 0.018520 *
## socintsatisfaction_state_pmc -0.486246 0.143203 -3.396 0.000685 ***
## responsiveness_state_pmc 0.653447 0.066752 9.789 < 2e-16 ***
## -0.015460 0.289947 -0.053 0.957477
## 0.410972 0.224790 1.828 0.067511 .
## -0.048317 0.174481 -0.277 0.781842
## 0.448051 0.281857 1.590 0.111916
## 0.241280 0.179075 1.347 0.177861
## -0.608186 NaN NaN NaN
## -0.283733 0.131918 -2.151 0.031490 *
## 0.752242 0.299861 2.509 0.012120 *
## -0.037487 0.313492 -0.120 0.904818
## 0.007089 0.144945 0.049 0.960991
## 0.290368 0.328364 0.884 0.376540
## 0.459303 0.328933 1.396 0.162611
## 0.183471 0.278467 0.659 0.509986
## -0.012547 0.146112 -0.086 0.931567
## 0.680673 0.202625 3.359 0.000781 ***
## -0.507066 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 34.67533 -13.13928 -1.99827 0.7752526
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.25148 -0.271 -0.2484 -0.0836
## [2,] 0.29133 0.297 -0.0222 -0.2292
## [3,] 0.06909 -0.159 0.4661 -0.3075
## [4,] 0.00239 -0.367 -0.4862 0.6534
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0155 -0.41097 0.0483 -0.448
## [2,] -0.2413 0.60819 0.2837 -0.752
## [3,] 0.0375 -0.00709 -0.2904 -0.459
## [4,] -0.1835 0.01255 -0.6807 0.507
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 49.96454 33.098248 -12.182360 -15.039662
## [2,] 33.09825 56.170540 5.066057 -3.056906
## [3,] -12.18236 5.066057 60.859558 18.390789
## [4,] -15.03966 -3.056906 18.390789 51.166521
## ----
## aic= 16.19012
## bic= 17.34649
## Number of parameters: 36
## initial estimates: 30.0024 -9.6838 -6.4397 -4.0452 0.3989 0.0213 -0.0346 0.1649 0.1757 0.0231 -0.1728 0.3876 0.1808 -0.1696 -0.0747 -0.0205 0.1055 0.0366 0.0971 -0.0054 -0.1789 -0.4364 0.3997 -0.8442 0.0629 -0.6692 0.7325 -1.0932 -0.2531 0.7858 -0.0183 1.0202 -0.1124 0.1564 -0.3275 0.299
## Par. lower-bounds: 13.5623 -22.3576 -25.7539 -18.3322 0.0852 -0.4222 -0.2932 -0.2851 -0.0661 -0.3188 -0.3721 0.0407 -0.1878 -0.6906 -0.3785 -0.549 -0.1672 -0.3488 -0.1276 -0.3964 -1.0237 -1.365 -0.1408 -1.6191 -0.5884 -1.385 0.3159 -1.6905 -1.2456 -0.3051 -0.6532 0.1099 -0.8466 -0.6505 -0.7972 -0.3744
## Par. upper-bounds: 46.4426 2.9899 12.8744 10.2418 0.7126 0.4648 0.2239 0.6148 0.4175 0.3649 0.0265 0.7344 0.5493 0.3514 0.2291 0.5081 0.3781 0.422 0.3218 0.3856 0.666 0.4921 0.9401 -0.0693 0.7142 0.0467 1.1491 -0.4959 0.7395 1.8767 0.6166 1.9305 0.6218 0.9633 0.1421 0.9724
## Final Estimates: 29.92247 -9.642436 -6.498364 -3.941761 0.395821 0.4647642 -0.02805893 0.1712612 0.2029216 -0.1818725 -0.2493499 0.7344272 0.1162625 0.3513555 -0.3784799 -0.3398295 0.067156 0.4219645 -0.04369922 -0.3964092 0.004758325 -0.692614 0.1935036 -0.3332993 -0.086816 0.04666369 0.3514879 -0.6951368 0.1600139 -0.2027975 0.4672947 0.9079198 0.1565503 -0.327959 0.06015173 0.5821174## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 29.922474 NaN NaN NaN
## loneliness_state_pmc -9.642436 1.427629 -6.754 1.44e-11 ***
## socintsatisfaction_state_pmc -6.498364 9.087963 -0.715 0.47458
## responsiveness_state_pmc -3.941761 6.188613 -0.637 0.52417
## depressedmood_state 0.395821 NaN NaN NaN
## loneliness_state_pmc 0.464764 NaN NaN NaN
## socintsatisfaction_state_pmc -0.028059 NaN NaN NaN
## responsiveness_state_pmc 0.171261 NaN NaN NaN
## depressedmood_state 0.202922 NaN NaN NaN
## loneliness_state_pmc -0.181873 NaN NaN NaN
## socintsatisfaction_state_pmc -0.249350 NaN NaN NaN
## responsiveness_state_pmc 0.734427 0.310310 2.367 0.01794 *
## depressedmood_state 0.116263 0.167820 0.693 0.48845
## loneliness_state_pmc 0.351356 NaN NaN NaN
## socintsatisfaction_state_pmc -0.378480 NaN NaN NaN
## responsiveness_state_pmc -0.339830 NaN NaN NaN
## depressedmood_state 0.067156 0.110423 0.608 0.54308
## loneliness_state_pmc 0.421964 0.087503 4.822 1.42e-06 ***
## socintsatisfaction_state_pmc -0.043699 NaN NaN NaN
## responsiveness_state_pmc -0.396409 NaN NaN NaN
## 0.004758 NaN NaN NaN
## -0.692614 NaN NaN NaN
## 0.193504 NaN NaN NaN
## -0.333299 NaN NaN NaN
## -0.086816 NaN NaN NaN
## 0.046664 0.018298 2.550 0.01077 *
## 0.351488 NaN NaN NaN
## -0.695137 0.372313 -1.867 0.06189 .
## 0.160014 NaN NaN NaN
## -0.202797 NaN NaN NaN
## 0.467295 NaN NaN NaN
## 0.907920 NaN NaN NaN
## 0.156550 0.104857 1.493 0.13544
## -0.327959 0.113205 -2.897 0.00377 **
## 0.060152 NaN NaN NaN
## 0.582117 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 29.92247 -9.642436 -6.498364 -3.941761
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.3958 0.465 -0.0281 0.171
## [2,] 0.2029 -0.182 -0.2493 0.734
## [3,] 0.1163 0.351 -0.3785 -0.340
## [4,] 0.0672 0.422 -0.0437 -0.396
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.00476 0.6926 -0.1935 0.333
## [2,] 0.08682 -0.0467 -0.3515 0.695
## [3,] -0.16001 0.2028 -0.4673 -0.908
## [4,] -0.15655 0.3280 -0.0602 -0.582
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 223.44863 108.03048 -97.90090 -92.93185
## [2,] 108.03048 176.82785 -63.72705 -103.59266
## [3,] -97.90090 -63.72705 297.26108 60.49538
## [4,] -92.93185 -103.59266 60.49538 160.82040
## ----
## aic= 21.33613
## bic= 22.4925
## Number of parameters: 36
## initial estimates: 6.8118 -2.7842 -0.6763 -0.3321 0.398 0.063 0.3177 0.255 0.2443 -0.0192 0.1125 0.2378 0.0919 0.1369 0.3179 -0.0813 0.1032 -0.1277 -0.1159 0.1601 -0.0823 0.2431 -1.2561 0.8713 -0.2169 0.2642 -0.2836 0.0169 -0.4581 -0.5735 -0.0696 -0.3219 -0.4727 -0.1599 0.5067 -0.4556
## Par. lower-bounds: 2.3614 -7.6445 -6.0761 -4.1411 0.1149 -0.2718 0.0115 -0.3272 -0.0649 -0.3849 -0.2219 -0.3981 -0.2516 -0.2694 -0.0536 -0.7878 -0.1391 -0.4143 -0.378 -0.3382 -0.8868 -0.6024 -2.0958 -0.0275 -1.0955 -0.6592 -1.2006 -0.9649 -1.4341 -1.5995 -1.0883 -1.4126 -1.1611 -0.8836 -0.2119 -1.2249
## Par. upper-bounds: 11.2622 2.0762 4.7236 3.4768 0.6812 0.3979 0.6239 0.8373 0.5535 0.3465 0.447 0.8737 0.4355 0.5432 0.6895 0.6252 0.3456 0.1589 0.1462 0.6585 0.7221 1.0887 -0.4165 1.7702 0.6616 1.1877 0.6334 0.9986 0.5179 0.4524 0.9492 0.7688 0.2158 0.5638 1.2253 0.3137
## Final Estimates: 7.211081 -2.767503 -0.2863989 -0.4311039 0.1794249 -0.2718263 0.6239068 0.1574469 0.08544532 -0.3129287 -0.170874 0.2767436 0.1222002 0.5432305 0.2395248 0.625203 0.1815781 0.1588792 -0.3778188 -0.090986 0.2191944 0.5118138 -0.4165173 -0.02754977 0.05807086 0.5856198 0.2951027 -0.1312309 -0.09870235 -0.5765122 -0.08804172 -0.8184471 -0.2158829 -0.2569951 0.3507996 0.2972453## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 7.21108 4.66942 1.544 0.1225
## loneliness_state_pmc -2.76750 NaN NaN NaN
## socintsatisfaction_state_pmc -0.28640 NaN NaN NaN
## responsiveness_state_pmc -0.43110 NaN NaN NaN
## depressedmood_state 0.17942 0.33083 0.542 0.5876
## loneliness_state_pmc -0.27183 NaN NaN NaN
## socintsatisfaction_state_pmc 0.62391 0.52212 1.195 0.2321
## responsiveness_state_pmc 0.15745 NaN NaN NaN
## depressedmood_state 0.08545 NaN NaN NaN
## loneliness_state_pmc -0.31293 NaN NaN NaN
## socintsatisfaction_state_pmc -0.17087 0.25420 -0.672 0.5015
## responsiveness_state_pmc 0.27674 NaN NaN NaN
## depressedmood_state 0.12220 NaN NaN NaN
## loneliness_state_pmc 0.54323 NaN NaN NaN
## socintsatisfaction_state_pmc 0.23952 0.41776 0.573 0.5664
## responsiveness_state_pmc 0.62520 NaN NaN NaN
## depressedmood_state 0.18158 NaN NaN NaN
## loneliness_state_pmc 0.15888 NaN NaN NaN
## socintsatisfaction_state_pmc -0.37782 0.19762 -1.912 0.0559 .
## responsiveness_state_pmc -0.09099 NaN NaN NaN
## 0.21919 0.30402 0.721 0.4709
## 0.51181 NaN NaN NaN
## -0.41652 NaN NaN NaN
## -0.02755 NaN NaN NaN
## 0.05807 NaN NaN NaN
## 0.58562 NaN NaN NaN
## 0.29510 NaN NaN NaN
## -0.13123 NaN NaN NaN
## -0.09870 NaN NaN NaN
## -0.57651 NaN NaN NaN
## -0.08804 0.39890 -0.221 0.8253
## -0.81845 NaN NaN NaN
## -0.21588 NaN NaN NaN
## -0.25700 NaN NaN NaN
## 0.35080 0.32918 1.066 0.2866
## 0.29725 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 7.211081 -2.767503 -0.2863989 -0.4311039
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1794 -0.272 0.624 0.157
## [2,] 0.0854 -0.313 -0.171 0.277
## [3,] 0.1222 0.543 0.240 0.625
## [4,] 0.1816 0.159 -0.378 -0.091
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.2192 -0.512 0.417 0.0275
## [2,] -0.0581 -0.586 -0.295 0.1312
## [3,] 0.0987 0.577 0.088 0.8184
## [4,] 0.2159 0.257 -0.351 -0.2972
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 139.73327 74.53342 -54.23171 -28.84599
## [2,] 74.53342 140.22608 -68.74442 -22.18661
## [3,] -54.23171 -68.74442 180.24407 77.69361
## [4,] -28.84599 -22.18661 77.69361 98.10898
## ----
## aic= 19.69195
## bic= 20.84831
## Number of parameters: 36
## initial estimates: 16.3001 -3.0395 -8.4137 -5.9709 0.2117 0.2279 -0.1608 -0.0151 0.1147 0.3929 -0.0579 -0.0151 0.5147 -0.3216 -0.073 0.3183 0.3004 -0.3566 -0.0685 0.3675 -0.0474 -0.1088 0.4926 -0.0233 9e-04 -0.5011 0.6827 -0.1054 -0.726 0.5236 -0.2935 0.1883 -0.321 0.6018 -0.0964 0.2123
## Par. lower-bounds: 8.2868 -11.9254 -17.1589 -16.1154 -0.1304 -0.1394 -0.4873 -0.3048 -0.2647 -0.0143 -0.4199 -0.3363 0.1413 -0.7225 -0.4293 0.0022 -0.1327 -0.8216 -0.4818 8e-04 -0.7973 -0.8061 -0.0788 -0.6204 -0.8307 -1.2743 0.049 -0.7676 -1.5444 -0.2374 -0.9172 -0.4634 -1.2704 -0.2809 -0.8198 -0.5437
## Par. upper-bounds: 24.3133 5.8465 0.3314 4.1736 0.5538 0.5952 0.1656 0.2745 0.4941 0.8002 0.3041 0.3061 0.8881 0.0792 0.2833 0.6344 0.7336 0.1083 0.3448 0.7342 0.7026 0.5884 1.0641 0.5739 0.8325 0.2721 1.3164 0.5568 0.0924 1.2845 0.3301 0.84 0.6284 1.4845 0.6271 0.9682
## Final Estimates: 16.42178 -3.028447 -8.433366 -5.995172 0.1577925 0.5901339 -0.1023746 0.2744544 -0.1462483 -0.01434172 0.07720522 0.3060738 0.5587225 0.07917657 0.2832991 0.1721276 0.3393007 -0.8188367 0.3446827 0.0008254872 0.2237377 -0.6643338 0.300143 -0.6204173 0.2067273 0.1257034 0.04897989 -0.5486825 -0.3119665 -0.2373689 -0.3379308 0.175363 0.005351699 0.9565431 -0.6515451 0.6497303
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 16.4217816 4.8542304 3.383 0.000717 ***
## loneliness_state_pmc -3.0284465 3.5773092 -0.847 0.397234
## socintsatisfaction_state_pmc -8.4333662 14.7314687 -0.572 0.567002
## responsiveness_state_pmc -5.9951718 7.4667994 -0.803 0.422026
## depressedmood_state 0.1577925 0.1977319 0.798 0.424863
## loneliness_state_pmc 0.5901339 0.0945534 6.241 4.34e-10 ***
## socintsatisfaction_state_pmc -0.1023746 0.3721669 -0.275 0.783257
## responsiveness_state_pmc 0.2744544 0.1456506 1.884 0.059520 .
## depressedmood_state -0.1462483 0.0494478 -2.958 0.003100 **
## loneliness_state_pmc -0.0143417 0.2657189 -0.054 0.956956
## socintsatisfaction_state_pmc 0.0772052 0.2512338 0.307 0.758612
## responsiveness_state_pmc 0.3060738 0.0853844 3.585 0.000338 ***
## depressedmood_state 0.5587225 0.6441216 0.867 0.385713
## loneliness_state_pmc 0.0791766 0.6643452 0.119 0.905133
## socintsatisfaction_state_pmc 0.2832991 0.4493350 0.630 0.528377
## responsiveness_state_pmc 0.1721276 0.4040764 0.426 0.670124
## depressedmood_state 0.3393007 0.3211742 1.056 0.290768
## loneliness_state_pmc -0.8188367 0.1559663 -5.250 1.52e-07 ***
## socintsatisfaction_state_pmc 0.3446827 0.1780031 1.936 0.052821 .
## responsiveness_state_pmc 0.0008255 0.2088178 0.004 0.996846
## 0.2237377 0.3094957 0.723 0.469735
## -0.6643338 0.1440529 -4.612 3.99e-06 ***
## 0.3001430 0.3794133 0.791 0.428902
## -0.6204173 0.1695919 -3.658 0.000254 ***
## 0.2067273 0.1578365 1.310 0.190279
## 0.1257034 0.2784253 0.451 0.651644
## 0.0489799 0.2684631 0.182 0.855233
## -0.5486825 0.0662504 -8.282 2.22e-16 ***
## -0.3119665 0.9554698 -0.327 0.744042
## -0.2373689 0.6388601 -0.372 0.710227
## -0.3379308 0.4561337 -0.741 0.458779
## 0.1753630 0.4703277 0.373 0.709258
## 0.0053517 0.4236199 0.013 0.989920
## 0.9565431 0.0594974 16.077 < 2e-16 ***
## -0.6515451 0.1551713 -4.199 2.68e-05 ***
## 0.6497303 0.2564502 2.534 0.011291 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 16.42178 -3.028447 -8.433366 -5.995172
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.158 0.5901 -0.1024 0.274454
## [2,] -0.146 -0.0143 0.0772 0.306074
## [3,] 0.559 0.0792 0.2833 0.172128
## [4,] 0.339 -0.8188 0.3447 0.000825
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.22374 0.664 -0.300 0.620
## [2,] -0.20673 -0.126 -0.049 0.549
## [3,] 0.31197 0.237 0.338 -0.175
## [4,] -0.00535 -0.957 0.652 -0.650
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 178.93371 154.77400 -62.10155 -74.57314
## [2,] 154.77400 296.12235 -81.89192 -165.01592
## [3,] -62.10155 -81.89192 251.57066 115.58295
## [4,] -74.57314 -165.01592 115.58295 296.64809
## ----
## aic= 21.91496
## bic= 23.07133
## Number of parameters: 36
## initial estimates: 16.1754 -1.3078 -2.0215 0.6114 0.1935 -0.2343 -0.4493 -0.0685 0.0228 -0.2184 -1.1433 0.3746 -0.0173 0.054 0.4751 0.0881 -0.1052 0.0675 0.2714 0.1523 0.2094 -0.0154 0.1444 0.2781 0.4876 -0.4488 1.9259 -1.3221 -0.0459 -0.0834 -0.3448 -0.0481 -0.15 -0.0061 -0.5045 0.0272
## Par. lower-bounds: 5.2425 -12.0999 -8.6565 -6.1512 -0.2119 -0.704 -1.5021 -1.0637 -0.3774 -0.6821 -2.1825 -0.6078 -0.2633 -0.2311 -0.1638 -0.5159 -0.356 -0.2231 -0.3798 -0.4633 -0.974 -1.1001 -2.0059 -1.7441 -0.6806 -1.5195 -0.1967 -3.3182 -0.7641 -0.7417 -1.6498 -1.2753 -0.882 -0.677 -1.8346 -1.2236
## Par. upper-bounds: 27.1083 9.4843 4.6135 7.374 0.5989 0.2355 0.6035 0.9267 0.423 0.2453 -0.104 1.357 0.2287 0.3391 1.1141 0.692 0.1455 0.3581 0.9226 0.7679 1.3929 1.0692 2.2947 2.3002 1.6558 0.6219 4.0485 0.6739 0.6723 0.5749 0.9602 1.1791 0.582 0.6648 0.8256 1.278
## Final Estimates: 16.1876 -1.326888 -1.98767 0.5947443 0.01860152 -0.4964234 -0.3480101 -0.1727925 -0.03781456 -0.04325967 -1.389748 0.4856052 0.07897461 -0.0718443 0.5094378 0.0421579 -0.02181247 0.1924696 0.3251633 0.2670733 0.1573965 0.3455699 -0.06404535 -0.005256471 0.1931684 -0.2802507 1.654078 -1.156616 -0.2542823 0.2599895 -0.5057471 0.4449289 -0.09878635 -0.1499778 -0.3223309 0.1021014## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 16.187599 2.353196 6.879 6.03e-12 ***
## loneliness_state_pmc -1.326888 NaN NaN NaN
## socintsatisfaction_state_pmc -1.987670 0.443098 -4.486 7.26e-06 ***
## responsiveness_state_pmc 0.594744 NaN NaN NaN
## depressedmood_state 0.018602 0.086194 0.216 0.829137
## loneliness_state_pmc -0.496423 0.432540 -1.148 0.251095
## socintsatisfaction_state_pmc -0.348010 0.235916 -1.475 0.140174
## responsiveness_state_pmc -0.172792 0.278673 -0.620 0.535222
## depressedmood_state -0.037815 0.070450 -0.537 0.591433
## loneliness_state_pmc -0.043260 0.158118 -0.274 0.784399
## socintsatisfaction_state_pmc -1.389748 NaN NaN NaN
## responsiveness_state_pmc 0.485605 0.186221 2.608 0.009116 **
## depressedmood_state 0.078975 0.055532 1.422 0.154987
## loneliness_state_pmc -0.071844 0.080557 -0.892 0.372479
## socintsatisfaction_state_pmc 0.509438 NaN NaN NaN
## responsiveness_state_pmc 0.042158 0.091256 0.462 0.644101
## depressedmood_state -0.021812 0.131636 -0.166 0.868391
## loneliness_state_pmc 0.192470 0.090936 2.117 0.034299 *
## socintsatisfaction_state_pmc 0.325163 0.053839 6.040 1.55e-09 ***
## responsiveness_state_pmc 0.267073 0.066945 3.989 6.62e-05 ***
## 0.157396 0.179084 0.879 0.379458
## 0.345570 0.491590 0.703 0.482079
## -0.064045 NaN NaN NaN
## -0.005256 0.258693 -0.020 0.983789
## 0.193168 0.114354 1.689 0.091179 .
## -0.280251 0.221231 -1.267 0.205235
## 1.654078 NaN NaN NaN
## -1.156616 0.122427 -9.447 < 2e-16 ***
## -0.254282 0.064670 -3.932 8.42e-05 ***
## 0.259989 0.067326 3.862 0.000113 ***
## -0.505747 NaN NaN NaN
## 0.444929 0.106357 4.183 2.87e-05 ***
## -0.098786 0.167130 -0.591 0.554471
## -0.149978 0.013435 -11.163 < 2e-16 ***
## -0.322331 NaN NaN NaN
## 0.102101 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 16.1876 -1.326888 -1.98767 0.5947443
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0186 -0.4964 -0.348 -0.1728
## [2,] -0.0378 -0.0433 -1.390 0.4856
## [3,] 0.0790 -0.0718 0.509 0.0422
## [4,] -0.0218 0.1925 0.325 0.2671
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.1574 -0.346 0.064 0.00526
## [2,] -0.1932 0.280 -1.654 1.15662
## [3,] 0.2543 -0.260 0.506 -0.44493
## [4,] 0.0988 0.150 0.322 -0.10210
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 566.3769 428.5905 -236.3902 -244.7286
## [2,] 428.5905 627.5739 -214.3178 -230.4318
## [3,] -236.3902 -214.3178 221.1434 203.7057
## [4,] -244.7286 -230.4318 203.7057 245.7627
## ----
## aic= 21.86221
## bic= 23.01858
## Number of parameters: 36
## initial estimates: 12.8005 -14.1099 19.5056 11.3046 0.61 0.3696 0.284 -0.1167 0.3736 0.2986 0.1324 0.2313 -0.4955 -0.059 -0.1101 -0.1431 -0.2893 -0.1269 -0.4392 0.5824 -1.1001 0.5562 -0.073 -0.4541 -1.0582 0.5256 0.0738 -0.4025 0.6869 -0.6018 -0.1869 0.9216 0.0848 0.2536 0.2947 0.1656
## Par. lower-bounds: -1.5531 -25.0847 4.8824 3.0721 0.2293 -0.1691 -0.1147 -0.5927 0.0825 -0.1133 -0.1725 -0.1326 -0.8834 -0.6078 -0.5163 -0.628 -0.5077 -0.4359 -0.6679 0.3094 -2.2823 -0.6117 -0.7673 -1.6437 -1.9621 -0.3674 -0.4571 -1.312 -0.5175 -1.7916 -0.8943 -0.2903 -0.5932 -0.4162 -0.1035 -0.5167
## Par. upper-bounds: 27.1542 -3.1351 34.1287 19.5371 0.9908 0.9083 0.6828 0.3592 0.6648 0.7104 0.4372 0.5952 -0.1076 0.4898 0.2962 0.3418 -0.071 0.182 -0.2105 0.8554 0.082 1.7241 0.6214 0.7355 -0.1544 1.4185 0.6047 0.5071 1.8912 0.588 0.5204 2.1335 0.7628 0.9235 0.6929 0.8479
## Final Estimates: 12.42939 -14.8347 19.37987 10.53163 0.6628299 -0.1690723 -0.08452848 0.009231886 0.4165579 0.3789375 0.437235 0.2175088 -0.5462804 0.4897744 0.05921296 0.04946471 -0.2887005 -0.2959122 -0.667905 0.5323502 -0.300693 0.4904191 0.2810189 -0.8099976 -0.1543511 -0.2427416 -0.4529398 -0.459955 0.1489085 -0.5212586 -0.1075249 0.1031506 -0.05259476 0.4320928 0.3617142 0.2714212## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 12.429391 9.054817 1.373 0.16985
## loneliness_state_pmc -14.834698 12.193752 -1.217 0.22376
## socintsatisfaction_state_pmc 19.379865 NaN NaN NaN
## responsiveness_state_pmc 10.531633 10.601673 0.993 0.32052
## depressedmood_state 0.662830 0.242710 2.731 0.00632 **
## loneliness_state_pmc -0.169072 1.023223 -0.165 0.86876
## socintsatisfaction_state_pmc -0.084528 0.663533 -0.127 0.89863
## responsiveness_state_pmc 0.009232 0.365440 0.025 0.97985
## depressedmood_state 0.416558 0.337508 1.234 0.21712
## loneliness_state_pmc 0.378938 0.705342 0.537 0.59110
## socintsatisfaction_state_pmc 0.437235 0.647422 0.675 0.49945
## responsiveness_state_pmc 0.217509 0.297968 0.730 0.46541
## depressedmood_state -0.546280 NaN NaN NaN
## loneliness_state_pmc 0.489774 0.642565 0.762 0.44593
## socintsatisfaction_state_pmc 0.059213 0.055022 1.076 0.28185
## responsiveness_state_pmc 0.049465 0.272888 0.181 0.85616
## depressedmood_state -0.288701 0.289608 -0.997 0.31883
## loneliness_state_pmc -0.295912 0.508027 -0.582 0.56025
## socintsatisfaction_state_pmc -0.667905 0.359058 -1.860 0.06286 .
## responsiveness_state_pmc 0.532350 0.283053 1.881 0.06001 .
## -0.300693 0.407386 -0.738 0.46045
## 0.490419 1.104132 0.444 0.65692
## 0.281019 0.724877 0.388 0.69825
## -0.809998 0.495702 -1.634 0.10225
## -0.154351 0.336045 -0.459 0.64601
## -0.242742 0.717272 -0.338 0.73504
## -0.452940 0.687466 -0.659 0.50999
## -0.459955 0.354550 -1.297 0.19453
## 0.148909 NaN NaN NaN
## -0.521259 0.657046 -0.793 0.42758
## -0.107525 NaN NaN NaN
## 0.103151 0.358839 0.287 0.77376
## -0.052595 0.309997 -0.170 0.86528
## 0.432093 0.501489 0.862 0.38890
## 0.361714 0.370768 0.976 0.32927
## 0.271421 0.284241 0.955 0.33963
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 12.42939 -14.8347 19.37987 10.53163
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.663 -0.169 -0.0845 0.00923
## [2,] 0.417 0.379 0.4372 0.21751
## [3,] -0.546 0.490 0.0592 0.04946
## [4,] -0.289 -0.296 -0.6679 0.53235
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.3007 -0.490 -0.281 0.810
## [2,] 0.1544 0.243 0.453 0.460
## [3,] -0.1489 0.521 0.108 -0.103
## [4,] 0.0526 -0.432 -0.362 -0.271
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 231.07415 126.57847 -111.33963 -42.98721
## [2,] 126.57847 129.89892 -64.71389 -20.59525
## [3,] -111.33963 -64.71389 251.57080 91.18789
## [4,] -42.98721 -20.59525 91.18789 70.97007
## ----
## aic= 19.48806
## bic= 20.64443
## Number of parameters: 36
## initial estimates: -16.9585 -34.5952 52.4772 36.8733 2.0714 -0.3317 0.5275 -0.1522 2.2246 -0.7494 0.1034 -0.2925 -3.2972 1.6818 -0.8525 0.5136 -2.3294 0.4847 -0.3984 0.6874 -2.0121 0.3356 -0.5554 0.1618 -2.26 0.85 -0.1343 0.2367 3.2651 -1.4171 0.9988 -0.3941 2.2986 -0.3131 0.2731 -0.2122
## Par. lower-bounds: -69.9432 -86.3694 -28.7455 -31.6555 -1.3134 -2.817 -0.3597 -0.9095 -1.0828 -3.1779 -0.7636 -1.0325 -8.4859 -2.128 -2.2126 -0.6473 -6.7072 -2.7297 -1.546 -0.292 -5.4101 -2.173 -1.4674 -0.6378 -5.5803 -1.6013 -1.0254 -0.5446 -1.9438 -5.2627 -0.3993 -1.6198 -2.0962 -3.5577 -0.9064 -1.2464
## Par. upper-bounds: 36.0262 17.179 133.6999 105.4022 5.4562 2.1536 1.4147 0.6051 5.532 1.6792 0.9703 0.4475 1.8915 5.4917 0.5075 1.6745 2.0483 3.6991 0.7491 1.6669 1.3858 2.8442 0.3565 0.9614 1.0604 3.3013 0.7569 1.0181 8.474 2.4284 2.3968 0.8317 6.6934 2.9314 1.4526 0.822
## Final Estimates: -16.95848 -34.59519 52.47718 36.87333 2.071401 -0.3316786 0.5275213 -0.1521826 2.224585 -0.7493764 0.1033552 -0.2924596 -3.297193 1.681821 -0.8525185 0.5135961 -2.329438 0.4847087 -0.3984467 0.6874384 -2.012139 0.3355906 -0.5554449 0.161816 -2.259965 0.8500076 -0.1342707 0.236719 3.265128 -1.417149 0.9987558 -0.3940676 2.298616 -0.3131363 0.2731112 -0.2121842
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state -16.9585 NaN NaN NaN
## loneliness_state_pmc -34.5952 NaN NaN NaN
## socintsatisfaction_state_pmc 52.4772 NaN NaN NaN
## responsiveness_state_pmc 36.8733 NaN NaN NaN
## depressedmood_state 2.0714 NaN NaN NaN
## loneliness_state_pmc -0.3317 NaN NaN NaN
## socintsatisfaction_state_pmc 0.5275 NaN NaN NaN
## responsiveness_state_pmc -0.1522 NaN NaN NaN
## depressedmood_state 2.2246 NaN NaN NaN
## loneliness_state_pmc -0.7494 NaN NaN NaN
## socintsatisfaction_state_pmc 0.1034 NaN NaN NaN
## responsiveness_state_pmc -0.2925 NaN NaN NaN
## depressedmood_state -3.2972 NaN NaN NaN
## loneliness_state_pmc 1.6818 NaN NaN NaN
## socintsatisfaction_state_pmc -0.8525 NaN NaN NaN
## responsiveness_state_pmc 0.5136 NaN NaN NaN
## depressedmood_state -2.3294 NaN NaN NaN
## loneliness_state_pmc 0.4847 NaN NaN NaN
## socintsatisfaction_state_pmc -0.3984 NaN NaN NaN
## responsiveness_state_pmc 0.6874 NaN NaN NaN
## -2.0121 NaN NaN NaN
## 0.3356 NaN NaN NaN
## -0.5554 NaN NaN NaN
## 0.1618 NaN NaN NaN
## -2.2600 NaN NaN NaN
## 0.8500 NaN NaN NaN
## -0.1343 NaN NaN NaN
## 0.2367 NaN NaN NaN
## 3.2651 NaN NaN NaN
## -1.4171 NaN NaN NaN
## 0.9988 NaN NaN NaN
## -0.3941 NaN NaN NaN
## 2.2986 NaN NaN NaN
## -0.3131 NaN NaN NaN
## 0.2731 NaN NaN NaN
## -0.2122 NaN NaN NaN
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: -16.95848 -34.59519 52.47718 36.87333
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 2.07 -0.332 0.528 -0.152
## [2,] 2.22 -0.749 0.103 -0.292
## [3,] -3.30 1.682 -0.853 0.514
## [4,] -2.33 0.485 -0.398 0.687
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 2.01 -0.336 0.555 -0.162
## [2,] 2.26 -0.850 0.134 -0.237
## [3,] -3.27 1.417 -0.999 0.394
## [4,] -2.30 0.313 -0.273 0.212
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 7.858989e+18 8.916706e+18 -7.545681e+18 -1.172068e+19
## [2,] 8.916706e+18 1.011678e+19 -8.561231e+18 -1.329813e+19
## [3,] -7.545681e+18 -8.561231e+18 7.244863e+18 1.125342e+19
## [4,] -1.172068e+19 -1.329813e+19 1.125342e+19 1.747990e+19
## ----
## aic= 68.62125
## bic= 69.77761
## Number of parameters: 36
## initial estimates: 8.2437 -4.3707 2.5337 2.5934 0.507 -0.29 -0.2328 0.0758 0.2769 -0.0722 -0.1543 0.132 -0.0478 0.6062 0.6937 -0.3756 -0.0943 0.4336 0.4059 -0.1041 -0.1597 0.3824 0.0608 -0.075 -0.0075 0.0488 0.0386 -0.0196 -0.1984 -0.0675 -0.5723 0.9847 -0.3795 0.1401 -0.2263 0.366
## Par. lower-bounds: 1.7188 -9.134 -9.2407 -6.5648 0.1693 -0.8465 -0.6214 -0.4179 0.0304 -0.4784 -0.438 -0.2285 -0.6572 -0.3979 -0.0074 -1.2666 -0.5683 -0.3474 -0.1394 -0.7971 -0.9811 -0.6471 -0.6602 -1.0467 -0.6072 -0.7027 -0.4877 -0.7289 -1.6807 -1.9252 -1.8734 -0.7687 -1.5325 -1.3048 -1.2383 -0.9978
## Par. upper-bounds: 14.7687 0.3926 14.3081 11.7516 0.8447 0.2665 0.1557 0.5696 0.5234 0.3341 0.1293 0.4924 0.5616 1.6103 1.3948 0.5154 0.3797 1.2146 0.9512 0.589 0.6618 1.4119 0.7818 0.8967 0.5922 0.8004 0.565 0.6897 1.284 1.7902 0.7288 2.7381 0.7735 1.585 0.7856 1.7298
## Final Estimates: 7.896467 -4.744435 2.258036 2.71658 0.5209648 0.2280009 0.1099034 -0.02125017 0.3186813 0.3339339 -0.119136 0.1399513 -0.1293596 0.5772268 0.7877239 0.2673622 -0.2273575 0.3681328 0.9057477 -0.3966075 -0.4437302 -0.2457833 -0.4024308 0.0778648 -0.2700826 -0.3847187 0.02086742 -0.09241777 0.04659565 -0.2472673 -0.8164378 -0.004343182 0.1419394 -0.1948764 -1.055593 0.7648598## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 7.896467 2.957490 2.670 0.00759 **
## loneliness_state_pmc -4.744435 NaN NaN NaN
## socintsatisfaction_state_pmc 2.258036 2.282841 0.989 0.32260
## responsiveness_state_pmc 2.716580 2.745691 0.989 0.32247
## depressedmood_state 0.520965 0.176827 2.946 0.00322 **
## loneliness_state_pmc 0.228001 0.307916 0.740 0.45902
## socintsatisfaction_state_pmc 0.109903 0.127952 0.859 0.39037
## responsiveness_state_pmc -0.021250 0.063090 -0.337 0.73625
## depressedmood_state 0.318681 NaN NaN NaN
## loneliness_state_pmc 0.333934 NaN NaN NaN
## socintsatisfaction_state_pmc -0.119136 0.527763 -0.226 0.82141
## responsiveness_state_pmc 0.139951 0.715625 0.196 0.84495
## depressedmood_state -0.129360 0.132732 -0.975 0.32976
## loneliness_state_pmc 0.577227 0.322580 1.789 0.07355 .
## socintsatisfaction_state_pmc 0.787724 0.435066 1.811 0.07021 .
## responsiveness_state_pmc 0.267362 0.535588 0.499 0.61764
## depressedmood_state -0.227357 0.132162 -1.720 0.08538 .
## loneliness_state_pmc 0.368133 0.567348 0.649 0.51642
## socintsatisfaction_state_pmc 0.905748 0.474043 1.911 0.05605 .
## responsiveness_state_pmc -0.396608 0.335328 -1.183 0.23691
## -0.443730 0.184767 -2.402 0.01633 *
## -0.245783 0.318331 -0.772 0.44006
## -0.402431 0.063586 -6.329 2.47e-10 ***
## 0.077865 NaN NaN NaN
## -0.270083 NaN NaN NaN
## -0.384719 NaN NaN NaN
## 0.020867 0.533036 0.039 0.96877
## -0.092418 0.717969 -0.129 0.89758
## 0.046596 0.139814 0.333 0.73893
## -0.247267 0.256783 -0.963 0.33558
## -0.816438 0.258130 -3.163 0.00156 **
## -0.004343 0.350899 -0.012 0.99012
## 0.141939 0.219664 0.646 0.51817
## -0.194876 0.577457 -0.337 0.73576
## -1.055593 0.374165 -2.821 0.00478 **
## 0.764860 0.182327 4.195 2.73e-05 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 7.896467 -4.744435 2.258036 2.71658
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.521 0.228 0.110 -0.0213
## [2,] 0.319 0.334 -0.119 0.1400
## [3,] -0.129 0.577 0.788 0.2674
## [4,] -0.227 0.368 0.906 -0.3966
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.4437 0.246 0.4024 -0.07786
## [2,] 0.2701 0.385 -0.0209 0.09242
## [3,] -0.0466 0.247 0.8164 0.00434
## [4,] -0.1419 0.195 1.0556 -0.76486
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 121.75579 41.01076 -47.99931 -56.35568
## [2,] 41.01076 71.35173 -74.41504 -63.54413
## [3,] -47.99931 -74.41504 556.15611 406.21293
## [4,] -56.35568 -63.54413 406.21293 367.07690
## ----
## aic= 20.24827
## bic= 21.40464
## Number of parameters: 36
## initial estimates: 41.9993 3.7195 -12.3059 -6.2711 0.0489 0.0235 0.1672 -0.2434 -0.0538 0.0559 0.1746 -0.2984 0.2153 0.0715 0.0256 0.3007 0.1223 -0.0653 -0.0896 0.3358 0.8715 -0.0574 -0.2555 0.4712 0.7306 -0.2047 -0.3958 0.5784 -0.3077 -0.3247 0.2788 -0.3067 -0.8836 -0.0762 0.013 -0.0295
## Par. lower-bounds: 28.4984 -14.0549 -38.421 -25.2746 -0.2572 -0.2556 -0.0257 -0.5083 -0.4567 -0.3116 -0.0793 -0.6471 -0.3768 -0.4684 -0.3475 -0.2116 -0.3086 -0.4582 -0.361 -0.037 -0.1132 -0.8697 -0.814 -0.1989 -0.5658 -1.2741 -1.1311 -0.3037 -2.2123 -1.896 -0.8015 -1.6027 -2.2696 -1.2196 -0.7731 -0.9726
## Par. upper-bounds: 55.5001 21.4938 13.8091 12.7324 0.355 0.3026 0.36 0.0214 0.3492 0.4233 0.4285 0.0503 0.8074 0.6114 0.3986 0.813 0.5531 0.3276 0.1819 0.7086 1.8561 0.7549 0.303 1.1412 2.0269 0.8647 0.3395 1.4605 1.597 1.2465 1.3591 0.9893 0.5024 1.0672 0.7991 0.9136
## Final Estimates: 41.93031 3.819473 -12.38037 -6.154517 0.02642167 -0.190507 0.3600266 -0.5082666 -0.07957802 -0.3116229 -0.07934652 -0.4815343 0.2742727 0.6114129 0.1092891 0.1981203 0.1411127 -0.4581506 0.00416063 -0.03703396 0.2784216 0.3913852 -0.2726972 0.3743691 0.2130367 0.5328914 0.2030062 0.3388824 -0.2495363 -0.7554171 0.1000485 -0.03730582 0.02991742 0.03330252 -0.03462936 0.3086037## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 41.930313 5.800521 7.229 4.88e-13 ***
## loneliness_state_pmc 3.819473 11.596781 0.329 0.741886
## socintsatisfaction_state_pmc -12.380373 6.063738 -2.042 0.041181 *
## responsiveness_state_pmc -6.154517 12.445442 -0.495 0.620939
## depressedmood_state 0.026422 0.128772 0.205 0.837430
## loneliness_state_pmc -0.190507 NaN NaN NaN
## socintsatisfaction_state_pmc 0.360027 0.274494 1.312 0.189656
## responsiveness_state_pmc -0.508267 0.337808 -1.505 0.132427
## depressedmood_state -0.079578 0.271770 -0.293 0.769664
## loneliness_state_pmc -0.311623 NaN NaN NaN
## socintsatisfaction_state_pmc -0.079347 NaN NaN NaN
## responsiveness_state_pmc -0.481534 0.023583 -20.419 < 2e-16 ***
## depressedmood_state 0.274273 0.132308 2.073 0.038174 *
## loneliness_state_pmc 0.611413 NaN NaN NaN
## socintsatisfaction_state_pmc 0.109289 NaN NaN NaN
## responsiveness_state_pmc 0.198120 NaN NaN NaN
## depressedmood_state 0.141113 0.290299 0.486 0.626901
## loneliness_state_pmc -0.458151 0.151274 -3.029 0.002457 **
## socintsatisfaction_state_pmc 0.004161 0.326321 0.013 0.989827
## responsiveness_state_pmc -0.037034 0.364639 -0.102 0.919103
## 0.278422 NaN NaN NaN
## 0.391385 NaN NaN NaN
## -0.272697 0.331449 -0.823 0.410655
## 0.374369 0.383904 0.975 0.329479
## 0.213037 0.303468 0.702 0.482674
## 0.532891 NaN NaN NaN
## 0.203006 0.094197 2.155 0.031153 *
## 0.338882 0.079622 4.256 2.08e-05 ***
## -0.249536 0.217260 -1.149 0.250738
## -0.755417 0.212062 -3.562 0.000368 ***
## 0.100049 NaN NaN NaN
## -0.037306 NaN NaN NaN
## 0.029917 0.272012 0.110 0.912421
## 0.033303 0.060828 0.547 0.584046
## -0.034629 0.372029 -0.093 0.925838
## 0.308604 0.402781 0.766 0.443568
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 41.93031 3.819473 -12.38037 -6.154517
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0264 -0.191 0.36003 -0.508
## [2,] -0.0796 -0.312 -0.07935 -0.482
## [3,] 0.2743 0.611 0.10929 0.198
## [4,] 0.1411 -0.458 0.00416 -0.037
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.2784 -0.3914 0.2727 -0.3744
## [2,] -0.2130 -0.5329 -0.2030 -0.3389
## [3,] 0.2495 0.7554 -0.1000 0.0373
## [4,] -0.0299 -0.0333 0.0346 -0.3086
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 65.41047 51.84369 -34.36160 -27.63847
## [2,] 51.84369 129.92154 -45.54026 -40.81481
## [3,] -34.36160 -45.54026 225.53096 104.85852
## [4,] -27.63847 -40.81481 104.85852 114.77842
## ----
## aic= 19.14613
## bic= 20.3025
## Number of parameters: 36
## initial estimates: 40.3411 -15.8815 12.8626 14.0103 0.3627 0.1269 -0.245 0.3221 0.2137 -0.0166 -0.4481 0.4331 -0.234 0.0874 0.8198 -0.1618 -0.2195 0.2703 0.1934 0.4854 0.0868 0.1433 0.1428 -0.4804 0.0106 0.0036 0.4115 -0.7979 0.2606 -0.2227 0.1652 -0.1463 0.1748 -0.6273 -0.0411 -0.2543
## Par. lower-bounds: 20.6348 -31.2567 -11.3101 -5.7911 0.0579 -0.2508 -0.4867 -0.0195 -0.024 -0.3112 -0.6368 0.1666 -0.6078 -0.3758 0.5232 -0.5809 -0.5257 -0.1091 -0.0495 0.1421 -0.5476 -0.6618 -0.6375 -1.2427 -0.4844 -0.6245 -0.1973 -1.3927 -0.5175 -1.2102 -0.792 -1.0814 -0.4626 -1.4362 -0.8252 -1.0203
## Par. upper-bounds: 60.0474 -0.5063 37.0353 33.8116 0.6674 0.5045 -0.0032 0.6638 0.4515 0.2781 -0.2595 0.6997 0.1398 0.5507 1.1163 0.2573 0.0868 0.6498 0.4364 0.8287 0.7211 0.9483 0.9231 0.2819 0.5055 0.6317 1.0203 -0.2032 1.0388 0.7648 1.1223 0.7888 0.8122 0.1817 0.743 0.5117
## Final Estimates: 40.32213 -15.71806 12.92711 14.00884 0.3345218 -0.2436596 -0.371762 -0.01953893 0.2078492 -0.3112198 -0.636783 0.5971162 -0.2450781 -0.09622596 0.7672071 -0.2118603 -0.2183914 0.3676377 0.436383 0.1421077 -0.05293933 0.6280372 0.1941947 0.2590428 -0.05193462 0.5546544 0.3731593 -0.6009664 0.2164686 0.05871157 -0.1051414 0.1107963 -0.02123396 -0.1433176 -0.5051307 0.4193702## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 40.32213 20.01153 2.015 0.04391 *
## loneliness_state_pmc -15.71806 NaN NaN NaN
## socintsatisfaction_state_pmc 12.92711 12.53542 1.031 0.30243
## responsiveness_state_pmc 14.00884 16.34132 0.857 0.39130
## depressedmood_state 0.33452 0.31728 1.054 0.29172
## loneliness_state_pmc -0.24366 0.38205 -0.638 0.52362
## socintsatisfaction_state_pmc -0.37176 0.21994 -1.690 0.09097 .
## responsiveness_state_pmc -0.01954 0.36518 -0.054 0.95733
## depressedmood_state 0.20785 NaN NaN NaN
## loneliness_state_pmc -0.31122 0.31956 -0.974 0.33011
## socintsatisfaction_state_pmc -0.63678 0.19786 -3.218 0.00129 **
## responsiveness_state_pmc 0.59712 0.40827 1.463 0.14359
## depressedmood_state -0.24508 0.18036 -1.359 0.17419
## loneliness_state_pmc -0.09623 0.57456 -0.167 0.86699
## socintsatisfaction_state_pmc 0.76721 0.34495 2.224 0.02614 *
## responsiveness_state_pmc -0.21186 0.44723 -0.474 0.63570
## depressedmood_state -0.21839 0.25746 -0.848 0.39629
## loneliness_state_pmc 0.36764 0.41263 0.891 0.37295
## socintsatisfaction_state_pmc 0.43638 0.34512 1.264 0.20608
## responsiveness_state_pmc 0.14211 0.60200 0.236 0.81339
## -0.05294 0.39217 -0.135 0.89262
## 0.62804 0.41223 1.524 0.12763
## 0.19419 0.23437 0.829 0.40734
## 0.25904 0.37981 0.682 0.49522
## -0.05193 NaN NaN NaN
## 0.55465 0.29474 1.882 0.05986 .
## 0.37316 0.23896 1.562 0.11839
## -0.60097 0.32736 -1.836 0.06639 .
## 0.21647 0.19089 1.134 0.25679
## 0.05871 0.63251 0.093 0.92604
## -0.10514 0.39546 -0.266 0.79034
## 0.11080 0.50333 0.220 0.82577
## -0.02123 0.27470 -0.077 0.93839
## -0.14332 0.43348 -0.331 0.74093
## -0.50513 0.38150 -1.324 0.18548
## 0.41937 0.58618 0.715 0.47434
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 40.32213 -15.71806 12.92711 14.00884
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.335 -0.2437 -0.372 -0.0195
## [2,] 0.208 -0.3112 -0.637 0.5971
## [3,] -0.245 -0.0962 0.767 -0.2119
## [4,] -0.218 0.3676 0.436 0.1421
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0529 -0.6280 -0.194 -0.259
## [2,] 0.0519 -0.5547 -0.373 0.601
## [3,] -0.2165 -0.0587 0.105 -0.111
## [4,] 0.0212 0.1433 0.505 -0.419
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 92.865197 28.77780 -12.74983 7.578996
## [2,] 28.777802 73.97047 -12.13099 -14.061767
## [3,] -12.749835 -12.13099 158.29887 81.217267
## [4,] 7.578996 -14.06177 81.21727 98.103161
## ----
## aic= 18.73279
## bic= 19.88916
## Number of parameters: 36
## initial estimates: 9.7213 -2.9939 -0.5934 1.3381 0.4213 0.0644 -0.0984 0.2656 0.2276 -0.0295 0.0532 -0.0714 -0.0578 0.5163 0.6482 -0.0734 -0.0985 0.3221 -0.1297 0.7739 -0.514 -0.0297 0.5454 -1.0177 0.0399 -0.2345 0.4714 0.0639 -0.6225 -0.4666 -0.2867 0.2236 -0.1594 -0.2143 -0.51 0.0397
## Par. lower-bounds: 4.5263 -7.022 -5.848 -2.1011 0.1783 -0.3134 -0.2878 -0.0076 0.0392 -0.3224 -0.0936 -0.2832 -0.3036 0.1343 0.4566 -0.3497 -0.2594 0.072 -0.2551 0.5931 -1.1692 -0.9352 -0.3763 -2.3091 -0.4681 -0.9366 -0.2432 -0.9375 -1.2852 -1.3824 -1.2189 -1.0827 -0.5932 -0.8137 -1.1202 -0.8153
## Par. upper-bounds: 14.9164 1.0342 4.6612 4.7773 0.6642 0.4421 0.0909 0.5388 0.416 0.2634 0.2001 0.1404 0.188 0.8984 0.8397 0.2029 0.0624 0.5721 -0.0043 0.9548 0.1413 0.8757 1.4671 0.2738 0.548 0.4676 1.1861 1.0653 0.0403 0.4492 0.6456 1.5298 0.2744 0.3851 0.1001 0.8946
## Final Estimates: 6.600124 -2.516308 -1.576638 -0.3758609 0.6383417 0.4420938 -0.2719332 0.002769917 0.1482699 0.2363116 0.1614223 -0.1998345 0.0420417 0.1342504 0.8165825 -0.04260683 0.04672562 0.5721287 -0.004323269 0.7075126 -0.3555176 -0.367929 0.3698462 0.2737687 0.01128592 -0.1815173 -0.2424781 0.3411175 -0.2533485 0.1833224 -0.4849913 0.01591673 -0.1520775 -0.4266718 -0.2964499 0.2037885## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 6.600124 NaN NaN NaN
## loneliness_state_pmc -2.516308 1.837544 -1.369 0.170879
## socintsatisfaction_state_pmc -1.576638 NaN NaN NaN
## responsiveness_state_pmc -0.375861 1.485132 -0.253 0.800205
## depressedmood_state 0.638342 NaN NaN NaN
## loneliness_state_pmc 0.442094 NaN NaN NaN
## socintsatisfaction_state_pmc -0.271933 0.105753 -2.571 0.010129 *
## responsiveness_state_pmc 0.002770 0.049520 0.056 0.955394
## depressedmood_state 0.148270 0.099013 1.497 0.134270
## loneliness_state_pmc 0.236312 0.239721 0.986 0.324243
## socintsatisfaction_state_pmc 0.161422 0.071820 2.248 0.024603 *
## responsiveness_state_pmc -0.199834 0.108453 -1.843 0.065389 .
## depressedmood_state 0.042042 NaN NaN NaN
## loneliness_state_pmc 0.134250 NaN NaN NaN
## socintsatisfaction_state_pmc 0.816583 0.085033 9.603 < 2e-16 ***
## responsiveness_state_pmc -0.042607 0.100072 -0.426 0.670280
## depressedmood_state 0.046726 0.080078 0.584 0.559556
## loneliness_state_pmc 0.572129 0.234810 2.437 0.014828 *
## socintsatisfaction_state_pmc -0.004323 0.117990 -0.037 0.970771
## responsiveness_state_pmc 0.707513 0.121688 5.814 6.09e-09 ***
## -0.355518 0.086658 -4.103 4.09e-05 ***
## -0.367929 NaN NaN NaN
## 0.369846 0.095893 3.857 0.000115 ***
## 0.273769 NaN NaN NaN
## 0.011286 NaN NaN NaN
## -0.181517 0.244133 -0.744 0.457168
## -0.242478 NaN NaN NaN
## 0.341117 0.202248 1.687 0.091674 .
## -0.253349 NaN NaN NaN
## 0.183322 NaN NaN NaN
## -0.484991 0.147696 -3.284 0.001024 **
## 0.015917 0.354874 0.045 0.964225
## -0.152077 0.078272 -1.943 0.052025 .
## -0.426672 0.242151 -1.762 0.078068 .
## -0.296450 0.118469 -2.502 0.012337 *
## 0.203788 0.144430 1.411 0.158249
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 6.600124 -2.516308 -1.576638 -0.3758609
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.6383 0.442 -0.27193 0.00277
## [2,] 0.1483 0.236 0.16142 -0.19983
## [3,] 0.0420 0.134 0.81658 -0.04261
## [4,] 0.0467 0.572 -0.00432 0.70751
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.3555 0.368 -0.370 -0.2738
## [2,] -0.0113 0.182 0.242 -0.3411
## [3,] 0.2533 -0.183 0.485 -0.0159
## [4,] 0.1521 0.427 0.296 -0.2038
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 116.49080 11.21873 -34.35228 -19.24261
## [2,] 11.21873 87.53445 -17.06082 -17.84049
## [3,] -34.35228 -17.06082 164.11992 42.07969
## [4,] -19.24261 -17.84049 42.07969 39.63904
## ----
## aic= 18.52476
## bic= 19.68113
## Number of parameters: 36
## initial estimates: 16.1708 -8.3013 1.562 1.2579 0.1142 -0.11 -0.0163 -0.1133 0.4497 0.189 -0.0158 -0.1999 -0.0526 -0.229 0.6225 -0.0903 -0.0594 -0.1403 0.0259 0.4328 0.038 -0.2101 -0.2105 0.2823 0.0424 -0.2742 -0.4741 0.8378 -0.3976 0.3306 -0.2599 0.096 -0.6822 -0.0761 0.3423 -0.8276
## Par. lower-bounds: 10.8452 -14.4118 -8.1421 -6.6777 -0.1641 -0.3575 -0.1562 -0.307 0.1303 -0.0949 -0.1764 -0.4221 -0.5599 -0.68 0.3675 -0.4432 -0.4742 -0.5091 -0.1826 0.1441 -0.7323 -0.7417 -0.5688 -0.278 -0.8414 -0.8841 -0.8853 0.1949 -1.8012 -0.6381 -0.9129 -0.925 -1.83 -0.8682 -0.1917 -1.6625
## Par. upper-bounds: 21.4964 -2.1908 11.2661 9.1935 0.3926 0.1375 0.1236 0.0804 0.7691 0.473 0.1447 0.0224 0.4546 0.2219 0.8774 0.2627 0.3554 0.2285 0.2344 0.7214 0.8083 0.3216 0.1479 0.8426 0.9262 0.3358 -0.063 1.4807 1.006 1.2993 0.3931 1.1169 0.4656 0.7161 0.8762 0.0073
## Final Estimates: 16.26745 -8.256131 1.58165 1.153948 0.08654168 -0.06337519 0.06344262 -0.2709909 0.4573436 0.4568309 0.09028372 -0.387267 -0.118994 -0.4806933 0.6169863 0.1323147 -0.06845993 -0.2499561 0.1553304 0.3198078 0.118728 -0.1668801 -0.1612329 0.2374104 0.0377042 -0.8841161 -0.06389134 0.3886881 -0.1138577 0.7422073 -0.1125218 -0.3065131 -0.2171764 0.4120739 -0.1917042 -0.02218807## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 16.26745 2.77071 5.871 4.33e-09 ***
## loneliness_state_pmc -8.25613 1.64605 -5.016 5.28e-07 ***
## socintsatisfaction_state_pmc 1.58165 3.66990 0.431 0.666484
## responsiveness_state_pmc 1.15395 5.64441 0.204 0.838009
## depressedmood_state 0.08654 0.15088 0.574 0.566248
## loneliness_state_pmc -0.06338 0.22027 -0.288 0.773565
## socintsatisfaction_state_pmc 0.06344 NaN NaN NaN
## responsiveness_state_pmc -0.27099 NaN NaN NaN
## depressedmood_state 0.45734 0.07093 6.448 1.13e-10 ***
## loneliness_state_pmc 0.45683 0.12747 3.584 0.000339 ***
## socintsatisfaction_state_pmc 0.09028 0.03851 2.344 0.019062 *
## responsiveness_state_pmc -0.38727 NaN NaN NaN
## depressedmood_state -0.11899 0.16766 -0.710 0.477880
## loneliness_state_pmc -0.48069 NaN NaN NaN
## socintsatisfaction_state_pmc 0.61699 0.14713 4.194 2.75e-05 ***
## responsiveness_state_pmc 0.13231 NaN NaN NaN
## depressedmood_state -0.06846 0.30301 -0.226 0.821255
## loneliness_state_pmc -0.24996 0.22593 -1.106 0.268576
## socintsatisfaction_state_pmc 0.15533 NaN NaN NaN
## responsiveness_state_pmc 0.31981 0.04497 7.112 1.14e-12 ***
## 0.11873 NaN NaN NaN
## -0.16688 0.23542 -0.709 0.478418
## -0.16123 NaN NaN NaN
## 0.23741 0.02226 10.666 < 2e-16 ***
## 0.03770 0.03949 0.955 0.339691
## -0.88412 NaN NaN NaN
## -0.06389 0.06633 -0.963 0.335450
## 0.38869 NaN NaN NaN
## -0.11386 NaN NaN NaN
## 0.74221 NaN NaN NaN
## -0.11252 0.18270 -0.616 0.537982
## -0.30651 NaN NaN NaN
## -0.21718 0.30781 -0.706 0.480464
## 0.41207 0.23849 1.728 0.084018 .
## -0.19170 0.02731 -7.019 2.23e-12 ***
## -0.02219 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 16.26745 -8.256131 1.58165 1.153948
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0865 -0.0634 0.0634 -0.271
## [2,] 0.4573 0.4568 0.0903 -0.387
## [3,] -0.1190 -0.4807 0.6170 0.132
## [4,] -0.0685 -0.2500 0.1553 0.320
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.1187 0.167 0.1612 -0.2374
## [2,] -0.0377 0.884 0.0639 -0.3887
## [3,] 0.1139 -0.742 0.1125 0.3065
## [4,] 0.2172 -0.412 0.1917 0.0222
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 38.344202 10.98842 -7.154753 -10.63313
## [2,] 10.988420 49.98234 -5.188140 -21.36293
## [3,] -7.154753 -5.18814 122.552066 27.43730
## [4,] -10.633127 -21.36293 27.437304 76.30587
## ----
## aic= 17.43412
## bic= 18.59048
## Number of parameters: 36
## initial estimates: 33.3621 1.2098 37.5812 16.3763 0.5159 0.2311 0.0686 -0.4142 0.011 0.079 0.0226 -0.1416 -0.5485 0.0451 0.2941 -0.8466 -0.2517 0.0747 0.0068 -0.141 -0.528 -0.2627 -0.155 0.6757 0.0265 -0.0425 -0.1146 0.887 1.4596 -0.901 -0.5378 1.9238 0.5056 -0.4769 6e-04 0.5047
## Par. lower-bounds: 15.2041 -13.871 5.124 4.2381 0.2535 -0.1544 -0.115 -0.9187 -0.207 -0.2411 -0.1298 -0.5606 -1.0175 -0.644 -0.0339 -1.7483 -0.4271 -0.183 -0.1159 -0.4782 -1.1951 -1.0785 -0.5838 -0.3442 -0.5275 -0.72 -0.4707 0.04 0.2672 -2.3592 -1.3043 0.1009 0.0596 -1.0222 -0.286 -0.177
## Par. upper-bounds: 51.52 16.2905 70.0384 28.5144 0.7783 0.6166 0.2521 0.0902 0.2289 0.3992 0.175 0.2773 -0.0794 0.7341 0.6221 0.0551 -0.0763 0.3324 0.1295 0.1962 0.1391 0.553 0.2738 1.6955 0.5806 0.635 0.2415 1.734 2.6521 0.5571 0.2287 3.7468 0.9515 0.0684 0.2873 1.1865
## Final Estimates: 33.36543 1.126751 37.54256 16.33444 0.50871 0.2092365 0.1658835 -0.5453211 0.005617299 0.2523593 -0.03570221 -0.5272186 -0.5416849 0.1604823 0.01991098 -1.105432 -0.255812 0.3324017 0.06980383 0.09216427 -0.126831 -0.1415366 -0.2785484 0.6269138 0.1541659 -0.1055618 -0.01241038 0.7901355 0.6872115 -0.6683096 -0.2410038 2.168258 0.06774098 -0.609417 -0.2860335 0.2182996## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 33.365426 3.380351 9.870 < 2e-16 ***
## loneliness_state_pmc 1.126751 2.553958 0.441 0.659084
## socintsatisfaction_state_pmc 37.542564 5.463172 6.872 6.33e-12 ***
## responsiveness_state_pmc 16.334442 1.315832 12.414 < 2e-16 ***
## depressedmood_state 0.508710 0.044117 11.531 < 2e-16 ***
## loneliness_state_pmc 0.209237 NaN NaN NaN
## socintsatisfaction_state_pmc 0.165884 NaN NaN NaN
## responsiveness_state_pmc -0.545321 NaN NaN NaN
## depressedmood_state 0.005617 0.040063 0.140 0.888492
## loneliness_state_pmc 0.252359 0.178846 1.411 0.158232
## socintsatisfaction_state_pmc -0.035702 NaN NaN NaN
## responsiveness_state_pmc -0.527219 NaN NaN NaN
## depressedmood_state -0.541685 0.069900 -7.749 9.33e-15 ***
## loneliness_state_pmc 0.160482 0.151786 1.057 0.290377
## socintsatisfaction_state_pmc 0.019911 NaN NaN NaN
## responsiveness_state_pmc -1.105432 NaN NaN NaN
## depressedmood_state -0.255812 0.015509 -16.495 < 2e-16 ***
## loneliness_state_pmc 0.332402 NaN NaN NaN
## socintsatisfaction_state_pmc 0.069804 NaN NaN NaN
## responsiveness_state_pmc 0.092164 NaN NaN NaN
## -0.126831 0.066754 -1.900 0.057436 .
## -0.141537 NaN NaN NaN
## -0.278548 NaN NaN NaN
## 0.626914 NaN NaN NaN
## 0.154166 NaN NaN NaN
## -0.105562 0.132652 -0.796 0.426160
## -0.012410 0.085440 -0.145 0.884512
## 0.790136 0.229420 3.444 0.000573 ***
## 0.687211 NaN NaN NaN
## -0.668310 NaN NaN NaN
## -0.241004 0.002882 -83.621 < 2e-16 ***
## 2.168258 0.350200 6.191 5.96e-10 ***
## 0.067741 0.024096 2.811 0.004934 **
## -0.609417 NaN NaN NaN
## -0.286034 NaN NaN NaN
## 0.218300 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 33.36543 1.126751 37.54256 16.33444
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.50871 0.209 0.1659 -0.5453
## [2,] 0.00562 0.252 -0.0357 -0.5272
## [3,] -0.54168 0.160 0.0199 -1.1054
## [4,] -0.25581 0.332 0.0698 0.0922
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1268 0.142 0.2785 -0.627
## [2,] -0.1542 0.106 0.0124 -0.790
## [3,] -0.6872 0.668 0.2410 -2.168
## [4,] -0.0677 0.609 0.2860 -0.218
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 151.86443 47.27410 -32.28925 -24.93642
## [2,] 47.27410 122.71318 -44.70957 -13.55905
## [3,] -32.28925 -44.70957 491.99859 139.46048
## [4,] -24.93642 -13.55905 139.46048 98.43474
## ----
## aic= 20.93977
## bic= 22.09614
## Number of parameters: 36
## initial estimates: 9.748 -10.6925 -8.4729 -15.8924 0.6871 0.0012 -0.0883 -0.1697 0.3452 -1.1625 0.3153 -0.4385 0.2846 -0.1945 0.3741 0.2606 0.5172 0.2752 0.2427 0.2239 -0.4919 0.2045 0.3204 0.1761 -0.2132 1.0109 -0.3456 0.4744 -0.3508 0.1605 0.1345 -0.1843 -0.5124 -0.2966 -0.1618 0.2501
## Par. lower-bounds: -13.1127 -29.1254 -35.9529 -37.6231 -0.0381 -1.3309 -0.6425 -0.8363 -0.2395 -2.2366 -0.1315 -0.976 -0.5871 -1.7958 -0.292 -0.5407 -0.1721 -0.9911 -0.2841 -0.4098 -1.267 -1.1732 -0.2835 -0.5509 -0.8381 -0.1 -0.8325 -0.1118 -1.2824 -1.4957 -0.5915 -1.0581 -1.2491 -1.6062 -0.7359 -0.4409
## Par. upper-bounds: 32.6086 7.7404 19.0072 5.8384 1.4124 1.3333 0.4659 0.497 0.93 -0.0885 0.7622 0.099 1.1564 1.4067 1.0403 1.062 1.2066 1.5414 0.7695 0.8576 0.2831 1.5823 0.9243 0.903 0.4117 2.1218 0.1414 1.0605 0.5808 1.8166 0.8604 0.6896 0.2243 1.0131 0.4123 0.9411
## Final Estimates: 11.22129 -11.05142 -8.289051 -17.33043 0.6429447 0.1574121 0.1558739 -0.726565 0.359182 -0.2331398 0.7621755 -0.9513848 0.2803844 -0.1184074 0.3813958 -0.01924991 0.5753682 -0.2624614 -0.1977958 0.4765489 -0.443115 -0.04594147 0.03642884 0.9030108 -0.2265472 -0.1000298 -0.8323497 1.009649 -0.564971 0.469069 0.07389847 0.2227692 -0.7034375 0.3782677 0.4040329 -0.1465887## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 11.22129 6.06916 1.849 0.064472 .
## loneliness_state_pmc -11.05142 NaN NaN NaN
## socintsatisfaction_state_pmc -8.28905 13.07677 -0.634 0.526162
## responsiveness_state_pmc -17.33043 7.82422 -2.215 0.026762 *
## depressedmood_state 0.64294 0.19174 3.353 0.000799 ***
## loneliness_state_pmc 0.15741 0.07449 2.113 0.034590 *
## socintsatisfaction_state_pmc 0.15587 0.45436 0.343 0.731554
## responsiveness_state_pmc -0.72656 0.33531 -2.167 0.030246 *
## depressedmood_state 0.35918 NaN NaN NaN
## loneliness_state_pmc -0.23314 0.48753 -0.478 0.632504
## socintsatisfaction_state_pmc 0.76218 0.56415 1.351 0.176688
## responsiveness_state_pmc -0.95138 0.71832 -1.324 0.185348
## depressedmood_state 0.28038 0.41630 0.674 0.500615
## loneliness_state_pmc -0.11841 0.23981 -0.494 0.621473
## socintsatisfaction_state_pmc 0.38140 0.64938 0.587 0.556985
## responsiveness_state_pmc -0.01925 0.63671 -0.030 0.975881
## depressedmood_state 0.57537 0.24930 2.308 0.021001 *
## loneliness_state_pmc -0.26246 0.31342 -0.837 0.402361
## socintsatisfaction_state_pmc -0.19780 0.60625 -0.326 0.744226
## responsiveness_state_pmc 0.47655 0.60863 0.783 0.433635
## -0.44311 0.22590 -1.962 0.049819 *
## -0.04594 0.22588 -0.203 0.838830
## 0.03643 0.50384 0.072 0.942361
## 0.90301 0.32090 2.814 0.004893 **
## -0.22655 NaN NaN NaN
## -0.10003 0.54565 -0.183 0.854545
## -0.83235 0.53829 -1.546 0.122037
## 1.00965 0.71537 1.411 0.158138
## -0.56497 0.39352 -1.436 0.151092
## 0.46907 0.09932 4.723 2.33e-06 ***
## 0.07390 0.59595 0.124 0.901314
## 0.22277 0.61661 0.361 0.717888
## -0.70344 0.27664 -2.543 0.010997 *
## 0.37827 0.25890 1.461 0.144001
## 0.40403 0.57496 0.703 0.482237
## -0.14659 0.63495 -0.231 0.817418
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 11.22129 -11.05142 -8.289051 -17.33043
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.643 0.157 0.156 -0.7266
## [2,] 0.359 -0.233 0.762 -0.9514
## [3,] 0.280 -0.118 0.381 -0.0192
## [4,] 0.575 -0.262 -0.198 0.4765
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.443 0.0459 -0.0364 -0.903
## [2,] 0.227 0.1000 0.8323 -1.010
## [3,] 0.565 -0.4691 -0.0739 -0.223
## [4,] 0.703 -0.3783 -0.4040 0.147
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 93.174510 32.83876 8.739705 -3.061015
## [2,] 32.838757 61.44974 -35.671829 -31.396515
## [3,] 8.739705 -35.67183 166.867339 65.326759
## [4,] -3.061015 -31.39651 65.326759 100.876023
## ----
## aic= 18.62372
## bic= 19.78009
## Number of parameters: 36
## initial estimates: 44.1705 2.3258 3.1024 -8.6836 -0.1867 0.1015 -0.1307 0.1657 -0.0013 -0.2414 -0.3818 0.2439 -0.0691 -0.1423 0.5789 -0.2119 0.218 0.1255 0.1813 0.3342 0.2418 -0.129 0.2755 -0.4481 0.0869 -0.287 0.5901 -0.4777 -0.3885 0.8223 0.097 -0.6013 -0.4431 0.5035 -0.0602 -0.5431
## Par. lower-bounds: 33.3041 -14.4492 -34.8279 -30.7309 -0.4782 -0.0767 -0.2342 0.0018 -0.4513 -0.5164 -0.5415 -0.0091 -1.0867 -0.7641 0.2178 -0.7841 -0.3735 -0.2359 -0.0286 0.0017 -0.4498 -0.4625 0.0098 -0.9372 -0.9808 -0.8018 0.1799 -1.2328 -2.8027 -0.3418 -0.8305 -2.3086 -1.8464 -0.1732 -0.5993 -1.5355
## Par. upper-bounds: 55.0368 19.1007 41.0326 13.3636 0.1049 0.2796 -0.0273 0.3296 0.4487 0.0336 -0.2221 0.4969 0.9485 0.4794 0.94 0.3602 0.8095 0.4869 0.3911 0.6668 0.9334 0.2045 0.5412 0.041 1.1546 0.2278 1.0003 0.2774 2.0258 1.9865 1.0245 1.1061 0.9602 1.1802 0.479 0.4493
## Final Estimates: 44.15915 2.334079 3.084524 -8.719916 -0.1976221 0.257534 -0.03594087 0.3296169 -0.05678356 -0.0418374 -0.4301977 0.3770457 -0.0785452 0.2032212 0.3618822 -0.2440299 0.2409594 0.1712432 0.04579636 0.214379 0.1092117 -0.1820441 0.00980469 -0.419667 -0.006233075 0.1133438 0.3519064 -0.6150337 -0.1148538 -0.03245704 0.2680902 0.09077977 -0.2459296 0.0934197 0.07232377 0.2472528## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 44.159149 10.323478 4.278 1.89e-05 ***
## loneliness_state_pmc 2.334079 NaN NaN NaN
## socintsatisfaction_state_pmc 3.084524 11.186948 0.276 0.7828
## responsiveness_state_pmc -8.719916 12.311076 -0.708 0.4788
## depressedmood_state -0.197622 0.291730 -0.677 0.4981
## loneliness_state_pmc 0.257534 1.499420 0.172 0.8636
## socintsatisfaction_state_pmc -0.035941 0.484537 -0.074 0.9409
## responsiveness_state_pmc 0.329617 0.204943 1.608 0.1078
## depressedmood_state -0.056784 NaN NaN NaN
## loneliness_state_pmc -0.041837 0.971391 -0.043 0.9656
## socintsatisfaction_state_pmc -0.430198 0.234441 -1.835 0.0665 .
## responsiveness_state_pmc 0.377046 0.228904 1.647 0.0995 .
## depressedmood_state -0.078545 0.295781 -0.266 0.7906
## loneliness_state_pmc 0.203221 0.574212 0.354 0.7234
## socintsatisfaction_state_pmc 0.361882 0.639837 0.566 0.5717
## responsiveness_state_pmc -0.244030 1.701193 -0.143 0.8859
## depressedmood_state 0.240959 0.331101 0.728 0.4668
## loneliness_state_pmc 0.171243 0.976715 0.175 0.8608
## socintsatisfaction_state_pmc 0.045796 0.543080 0.084 0.9328
## responsiveness_state_pmc 0.214379 1.219443 0.176 0.8605
## 0.109212 0.475807 0.230 0.8185
## -0.182044 1.546204 -0.118 0.9063
## 0.009805 0.475780 0.021 0.9836
## -0.419667 0.209917 -1.999 0.0456 *
## -0.006233 0.414925 -0.015 0.9880
## 0.113344 0.775906 0.146 0.8839
## 0.351906 0.185298 1.899 0.0575 .
## -0.615034 0.414486 -1.484 0.1378
## -0.114854 0.753175 -0.152 0.8788
## -0.032457 0.405008 -0.080 0.9361
## 0.268090 0.954364 0.281 0.7788
## 0.090780 2.177557 0.042 0.9667
## -0.245930 0.486488 -0.506 0.6132
## 0.093420 0.915656 0.102 0.9187
## 0.072324 0.827402 0.087 0.9303
## 0.247253 1.665480 0.148 0.8820
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 44.15915 2.334079 3.084524 -8.719916
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.1976 0.2575 -0.0359 0.330
## [2,] -0.0568 -0.0418 -0.4302 0.377
## [3,] -0.0785 0.2032 0.3619 -0.244
## [4,] 0.2410 0.1712 0.0458 0.214
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.10921 0.1820 -0.0098 0.4197
## [2,] 0.00623 -0.1133 -0.3519 0.6150
## [3,] 0.11485 0.0325 -0.2681 -0.0908
## [4,] 0.24593 -0.0934 -0.0723 -0.2473
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 24.3268044 6.008198 -3.968362 0.3330115
## [2,] 6.0081984 95.300739 -18.354570 -14.4743250
## [3,] -3.9683618 -18.354570 261.575154 109.5206599
## [4,] 0.3330115 -14.474325 109.520660 104.4202835
## ----
## aic= 18.37086
## bic= 19.52723
## Number of parameters: 36
## initial estimates: 41.1742 3.9614 -16.0604 -11.5478 0.1238 0.1598 0.0289 -0.1295 -0.1057 0.1925 -0.0278 -0.2137 0.3392 -0.0521 0.3931 0.3859 0.2512 -0.0215 0.0834 0.4367 -0.2047 0.0026 -0.2858 0.3345 0.0365 0.0885 -0.0177 0.4214 -0.7035 0.2204 -0.4476 -0.098 -0.335 0.5613 0.192 -0.1033
## Par. lower-bounds: 24.6534 -11.1849 -33.9251 -27.6399 -0.2132 -0.2704 -0.2814 -0.4907 -0.4147 -0.2019 -0.3122 -0.5448 -0.0252 -0.5173 0.0577 -0.0047 -0.077 -0.4406 -0.2188 0.0849 -0.9129 -0.8334 -1 -0.4467 -0.6128 -0.678 -0.6725 -0.2949 -1.4693 -0.6836 -1.2199 -0.9428 -1.0248 -0.2529 -0.5037 -0.8642
## Par. upper-bounds: 57.6949 19.1078 1.8044 4.5443 0.4608 0.5901 0.3391 0.2317 0.2033 0.5869 0.2566 0.1175 0.7036 0.4131 0.7286 0.7765 0.5795 0.3975 0.3856 0.7886 0.5036 0.8386 0.4284 1.1157 0.6858 0.8549 0.6371 1.1376 0.0624 1.1243 0.3247 0.7467 0.3549 1.3756 0.8876 0.6577
## Final Estimates: 41.08627 3.931692 -16.2008 -11.48865 0.07124573 0.05629014 -0.1580621 -0.1128914 -0.1062043 0.07404787 -0.3122276 0.06261929 0.3782556 0.4131407 0.0576782 0.6550099 0.2430232 -0.4405824 -0.2187616 0.08489629 0.1139954 0.005422992 0.02400791 0.1282079 0.0007155256 0.2078617 0.2216302 -0.232347 -0.1783825 -0.6836151 0.3025629 -0.5235098 -0.009165406 0.4691869 0.3682244 0.3938286## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 4.109e+01 NaN NaN NaN
## loneliness_state_pmc 3.932e+00 9.143e+00 0.430 0.667
## socintsatisfaction_state_pmc -1.620e+01 NaN NaN NaN
## responsiveness_state_pmc -1.149e+01 9.605e+00 -1.196 0.232
## depressedmood_state 7.125e-02 NaN NaN NaN
## loneliness_state_pmc 5.629e-02 NaN NaN NaN
## socintsatisfaction_state_pmc -1.581e-01 NaN NaN NaN
## responsiveness_state_pmc -1.129e-01 NaN NaN NaN
## depressedmood_state -1.062e-01 2.021e-01 -0.526 0.599
## loneliness_state_pmc 7.405e-02 NaN NaN NaN
## socintsatisfaction_state_pmc -3.122e-01 NaN NaN NaN
## responsiveness_state_pmc 6.262e-02 NaN NaN NaN
## depressedmood_state 3.783e-01 NaN NaN NaN
## loneliness_state_pmc 4.131e-01 NaN NaN NaN
## socintsatisfaction_state_pmc 5.768e-02 NaN NaN NaN
## responsiveness_state_pmc 6.550e-01 NaN NaN NaN
## depressedmood_state 2.430e-01 2.092e-01 1.162 0.245
## loneliness_state_pmc -4.406e-01 NaN NaN NaN
## socintsatisfaction_state_pmc -2.188e-01 NaN NaN NaN
## responsiveness_state_pmc 8.490e-02 NaN NaN NaN
## 1.140e-01 NaN NaN NaN
## 5.423e-03 NaN NaN NaN
## 2.401e-02 NaN NaN NaN
## 1.282e-01 NaN NaN NaN
## 7.155e-04 2.403e-01 0.003 0.998
## 2.079e-01 NaN NaN NaN
## 2.216e-01 NaN NaN NaN
## -2.323e-01 NaN NaN NaN
## -1.784e-01 NaN NaN NaN
## -6.836e-01 NaN NaN NaN
## 3.026e-01 NaN NaN NaN
## -5.235e-01 NaN NaN NaN
## -9.165e-03 1.689e-01 -0.054 0.957
## 4.692e-01 NaN NaN NaN
## 3.682e-01 NaN NaN NaN
## 3.938e-01 NaN NaN NaN
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 41.08627 3.931692 -16.2008 -11.48865
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0712 0.0563 -0.1581 -0.1129
## [2,] -0.1062 0.0740 -0.3122 0.0626
## [3,] 0.3783 0.4131 0.0577 0.6550
## [4,] 0.2430 -0.4406 -0.2188 0.0849
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.113995 -0.00542 -0.024 -0.128
## [2,] -0.000716 -0.20786 -0.222 0.232
## [3,] 0.178382 0.68362 -0.303 0.524
## [4,] 0.009165 -0.46919 -0.368 -0.394
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 359.87635 172.03872 -82.25036 -78.32956
## [2,] 172.03872 279.09642 -150.36461 -95.67339
## [3,] -82.25036 -150.36461 502.69165 256.44717
## [4,] -78.32956 -95.67339 256.44717 305.38458
## ----
## aic= 23.37975
## bic= 24.53612
## Number of parameters: 36
## initial estimates: 16.1998 -17.9371 11.9095 13.0215 0.6171 0.2986 -0.2984 0.3837 0.4358 0.2343 -0.2054 0.1465 -0.3352 0.1534 0.3658 0.0366 -0.3617 0.239 0.0334 0.2276 -0.4106 0.2293 -0.1348 -0.3373 -0.2547 -0.2075 -0.2663 0.022 0.4393 -1.0053 -0.0126 -0.1806 0.2499 -0.6399 0.3547 -0.3313
## Par. lower-bounds: 0.0499 -32.9899 -3.2554 1.6584 0.2369 -0.1733 -0.6632 -0.061 0.0814 -0.2055 -0.5454 -0.268 -0.6922 -0.2897 0.0232 -0.381 -0.6293 -0.0929 -0.2233 -0.0853 -1.3256 -0.8114 -1.011 -1.6344 -1.1075 -1.1775 -1.083 -1.1871 -0.4199 -1.9825 -0.8354 -1.3986 -0.3939 -1.3721 -0.2618 -1.2439
## Par. upper-bounds: 32.3497 -2.8844 27.0744 24.3846 0.9973 0.7704 0.0665 0.8284 0.7902 0.6741 0.1347 0.561 0.0219 0.5964 0.7084 0.4541 -0.0942 0.571 0.2901 0.5405 0.5044 1.2699 0.7414 0.9599 0.5982 0.7624 0.5503 1.231 1.2985 -0.0281 0.8101 1.0375 0.8937 0.0923 0.9712 0.5814
## Final Estimates: 16.18253 -17.96782 11.90178 13.00167 0.5916805 0.3270391 -0.4508522 0.5053172 0.4717756 0.3795028 0.1320678 0.149435 -0.3591925 0.155083 0.2176879 0.08565714 -0.3413392 0.5519958 0.2536527 0.5370975 -0.2434733 -0.1351125 0.1834426 -0.2908708 -0.3978315 -0.2674746 -0.4514751 -0.3176161 0.4771354 -0.6201909 0.001225876 0.07218401 0.1437806 -0.7647364 -0.1569506 -0.7652546## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 1.618e+01 NaN NaN NaN
## loneliness_state_pmc -1.797e+01 2.034e-04 -88331.729 < 2e-16 ***
## socintsatisfaction_state_pmc 1.190e+01 2.909e-03 4090.704 < 2e-16 ***
## responsiveness_state_pmc 1.300e+01 4.524e-04 28737.028 < 2e-16 ***
## depressedmood_state 5.917e-01 NaN NaN NaN
## loneliness_state_pmc 3.270e-01 NaN NaN NaN
## socintsatisfaction_state_pmc -4.509e-01 NaN NaN NaN
## responsiveness_state_pmc 5.053e-01 NaN NaN NaN
## depressedmood_state 4.718e-01 1.529e-05 30859.307 < 2e-16 ***
## loneliness_state_pmc 3.795e-01 3.269e-04 1161.071 < 2e-16 ***
## socintsatisfaction_state_pmc 1.321e-01 1.540e-02 8.575 < 2e-16 ***
## responsiveness_state_pmc 1.494e-01 NaN NaN NaN
## depressedmood_state -3.592e-01 2.156e-04 -1665.803 < 2e-16 ***
## loneliness_state_pmc 1.551e-01 3.875e-03 40.023 < 2e-16 ***
## socintsatisfaction_state_pmc 2.177e-01 NaN NaN NaN
## responsiveness_state_pmc 8.566e-02 NaN NaN NaN
## depressedmood_state -3.413e-01 5.925e-05 -5761.034 < 2e-16 ***
## loneliness_state_pmc 5.520e-01 2.009e-04 2748.351 < 2e-16 ***
## socintsatisfaction_state_pmc 2.537e-01 NaN NaN NaN
## responsiveness_state_pmc 5.371e-01 NaN NaN NaN
## -2.435e-01 NaN NaN NaN
## -1.351e-01 NaN NaN NaN
## 1.834e-01 NaN NaN NaN
## -2.909e-01 NaN NaN NaN
## -3.978e-01 1.691e-02 -23.520 < 2e-16 ***
## -2.675e-01 NaN NaN NaN
## -4.515e-01 NaN NaN NaN
## -3.176e-01 NaN NaN NaN
## 4.771e-01 7.347e-02 6.494 8.36e-11 ***
## -6.202e-01 NaN NaN NaN
## 1.226e-03 NaN NaN NaN
## 7.218e-02 1.441e-01 0.501 0.616
## 1.438e-01 NaN NaN NaN
## -7.647e-01 NaN NaN NaN
## -1.570e-01 2.389e-02 -6.571 5.00e-11 ***
## -7.653e-01 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 16.18253 -17.96782 11.90178 13.00167
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.592 0.327 -0.451 0.5053
## [2,] 0.472 0.380 0.132 0.1494
## [3,] -0.359 0.155 0.218 0.0857
## [4,] -0.341 0.552 0.254 0.5371
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.243 0.135 -0.18344 0.2909
## [2,] 0.398 0.267 0.45148 0.3176
## [3,] -0.477 0.620 -0.00123 -0.0722
## [4,] -0.144 0.765 0.15695 0.7653
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 193.54756 147.47030 -105.57192 -72.60106
## [2,] 147.47030 186.16401 -96.27659 -68.73725
## [3,] -105.57192 -96.27659 207.73945 82.35035
## [4,] -72.60106 -68.73725 82.35035 82.35626
## ----
## aic= 19.31836
## bic= 20.47473
## Number of parameters: 36
## initial estimates: 9.3446 -1.6378 2.9666 -0.8339 0.2016 0.1947 0.1367 0.1011 0.3354 0.0457 0.2732 -0.149 -0.3142 -0.0342 0.024 0.0914 -0.0363 -0.3842 -0.3996 0.2241 0.1338 -0.3141 -0.4027 0.0242 -0.3027 -0.1817 -0.2846 0.0984 -0.0585 0.1878 -0.0874 -0.4362 0.0969 0.2435 0.6548 -0.8472
## Par. lower-bounds: 5.1491 -8.2428 -3.7727 -5.676 -0.1245 -0.0519 -0.077 -0.1409 -0.1781 -0.3425 -0.0631 -0.53 -0.8381 -0.4303 -0.3192 -0.2973 -0.4127 -0.6688 -0.6461 -0.0552 -0.5067 -0.6843 -0.8219 -0.5766 -1.3111 -0.7645 -0.9445 -0.8474 -1.0874 -0.4068 -0.7607 -1.4012 -0.6424 -0.1837 0.171 -1.5406
## Par. upper-bounds: 13.5401 4.9672 9.7058 4.0082 0.5277 0.4413 0.3503 0.3431 0.8488 0.4339 0.6095 0.232 0.2097 0.3619 0.3671 0.4801 0.3401 -0.0996 -0.153 0.5034 0.7744 0.0561 0.0165 0.6249 0.7057 0.4011 0.3753 1.0442 0.9704 0.7825 0.586 0.5288 0.8362 0.6708 1.1385 -0.1539
## Final Estimates: 9.360159 -1.786582 2.912342 -0.8151368 0.1753157 -0.000361318 0.3498049 -0.06899023 0.1472038 0.4339262 0.426154 -0.3231333 -0.2241134 -0.399561 0.3663645 0.4801325 0.08727711 -0.6688074 -0.3436605 0.4549371 0.004937252 0.052934 -0.4415056 0.1077149 -0.1770451 -0.4751542 -0.3409928 -0.02414669 0.02796332 0.5156497 -0.3254505 -0.6671775 0.1700156 0.4416323 0.1709655 -0.4448639## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 9.3601589 3.8650612 2.422 0.01545 *
## loneliness_state_pmc -1.7865825 NaN NaN NaN
## socintsatisfaction_state_pmc 2.9123419 1.8694731 1.558 0.11927
## responsiveness_state_pmc -0.8151368 NaN NaN NaN
## depressedmood_state 0.1753157 0.3235250 0.542 0.58789
## loneliness_state_pmc -0.0003613 0.2456271 -0.001 0.99883
## socintsatisfaction_state_pmc 0.3498049 0.2881888 1.214 0.22482
## responsiveness_state_pmc -0.0689902 0.2221838 -0.311 0.75617
## depressedmood_state 0.1472038 NaN NaN NaN
## loneliness_state_pmc 0.4339262 0.2089162 2.077 0.03780 *
## socintsatisfaction_state_pmc 0.4261540 0.0497242 8.570 < 2e-16 ***
## responsiveness_state_pmc -0.3231333 0.2533553 -1.275 0.20216
## depressedmood_state -0.2241134 0.1818290 -1.233 0.21774
## loneliness_state_pmc -0.3995610 NaN NaN NaN
## socintsatisfaction_state_pmc 0.3663645 0.2398927 1.527 0.12671
## responsiveness_state_pmc 0.4801325 NaN NaN NaN
## depressedmood_state 0.0872771 NaN NaN NaN
## loneliness_state_pmc -0.6688074 0.0958879 -6.975 3.06e-12 ***
## socintsatisfaction_state_pmc -0.3436605 0.2296104 -1.497 0.13447
## responsiveness_state_pmc 0.4549371 NaN NaN NaN
## 0.0049373 0.3130869 0.016 0.98742
## 0.0529340 0.1865781 0.284 0.77663
## -0.4415056 0.3000705 -1.471 0.14120
## 0.1077149 0.1764025 0.611 0.54145
## -0.1770451 NaN NaN NaN
## -0.4751542 0.1098487 -4.326 1.52e-05 ***
## -0.3409928 0.1279299 -2.665 0.00769 **
## -0.0241467 0.1928609 -0.125 0.90036
## 0.0279633 0.3486714 0.080 0.93608
## 0.5156497 NaN NaN NaN
## -0.3254505 0.1529561 -2.128 0.03336 *
## -0.6671775 NaN NaN NaN
## 0.1700156 NaN NaN NaN
## 0.4416323 0.2158588 2.046 0.04076 *
## 0.1709655 0.1873809 0.912 0.36156
## -0.4448639 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 9.360159 -1.786582 2.912342 -0.8151368
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1753 -0.000361 0.350 -0.069
## [2,] 0.1472 0.433926 0.426 -0.323
## [3,] -0.2241 -0.399561 0.366 0.480
## [4,] 0.0873 -0.668807 -0.344 0.455
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.00494 -0.0529 0.442 -0.1077
## [2,] 0.17705 0.4752 0.341 0.0241
## [3,] -0.02796 -0.5156 0.325 0.6672
## [4,] -0.17002 -0.4416 -0.171 0.4449
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 73.56414 44.99688 -35.02930 -13.26899
## [2,] 44.99688 168.62623 -60.62666 -26.27603
## [3,] -35.02930 -60.62666 143.46789 47.02938
## [4,] -13.26899 -26.27603 47.02938 99.42294
## ----
## aic= 19.45636
## bic= 20.61273
## Number of parameters: 36
## initial estimates: 20.5516 6.9017 3.4287 0.1762 0.1877 0.1372 0.097 -0.246 -0.3323 0.3024 -0.005 -0.3452 -0.1567 0.1477 0.3017 0.5742 -0.0234 0.0979 0.0052 0.6291 -1.0013 -0.0448 -0.8163 0.4438 -0.2597 -0.6437 -0.6084 0.5583 1.4343 -0.5479 0.3609 -0.3711 0.6246 -0.1057 0.116 -0.1167
## Par. lower-bounds: 9.2502 -3.9078 -13.9859 -9.7008 -0.2288 -0.2845 -0.1737 -0.6764 -0.7306 -0.1009 -0.2639 -0.7569 -0.7984 -0.502 -0.1154 -0.0891 -0.3873 -0.2706 -0.2314 0.253 -1.9922 -1.3448 -1.4856 -1.1293 -1.2075 -1.8871 -1.2486 -0.9464 -0.0926 -2.5511 -0.6705 -2.7953 -0.2414 -1.2419 -0.469 -1.4916
## Par. upper-bounds: 31.8531 17.7113 20.8433 10.0532 0.6041 0.5588 0.3677 0.1844 0.0661 0.7057 0.2539 0.0665 0.485 0.7975 0.7188 1.2374 0.3406 0.4664 0.2417 1.0053 -0.0104 1.2552 -0.1469 2.017 0.688 0.5998 0.0318 2.063 2.9612 1.4553 1.3923 2.053 1.4906 1.0304 0.701 1.2582
## Final Estimates: 20.53322 6.859372 3.502377 0.1937772 0.2580192 0.06040774 0.1807738 -0.1608187 -0.258277 0.7028173 0.2537999 -0.6850124 -0.1709145 0.3299588 0.2421806 0.9123267 -0.02102602 0.2680847 0.09446666 0.800073 -0.01198775 -0.02734268 -0.3352335 0.1747979 0.5605847 -1.093091 -0.3776457 0.5812951 -0.01755014 -0.3920546 0.111665 -0.868908 -0.1535363 -0.2208286 -0.1671576 -0.4643389## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 20.53322 NaN NaN NaN
## loneliness_state_pmc 6.85937 NaN NaN NaN
## socintsatisfaction_state_pmc 3.50238 4.16219 0.841 0.40008
## responsiveness_state_pmc 0.19378 NaN NaN NaN
## depressedmood_state 0.25802 NaN NaN NaN
## loneliness_state_pmc 0.06041 0.48004 0.126 0.89986
## socintsatisfaction_state_pmc 0.18077 NaN NaN NaN
## responsiveness_state_pmc -0.16082 NaN NaN NaN
## depressedmood_state -0.25828 NaN NaN NaN
## loneliness_state_pmc 0.70282 0.23228 3.026 0.00248 **
## socintsatisfaction_state_pmc 0.25380 0.17340 1.464 0.14328
## responsiveness_state_pmc -0.68501 0.30815 -2.223 0.02622 *
## depressedmood_state -0.17091 0.12446 -1.373 0.16969
## loneliness_state_pmc 0.32996 NaN NaN NaN
## socintsatisfaction_state_pmc 0.24218 NaN NaN NaN
## responsiveness_state_pmc 0.91233 NaN NaN NaN
## depressedmood_state -0.02103 NaN NaN NaN
## loneliness_state_pmc 0.26808 0.16407 1.634 0.10227
## socintsatisfaction_state_pmc 0.09447 NaN NaN NaN
## responsiveness_state_pmc 0.80007 NaN NaN NaN
## -0.01199 NaN NaN NaN
## -0.02734 0.52420 -0.052 0.95840
## -0.33523 0.25159 -1.332 0.18271
## 0.17480 NaN NaN NaN
## 0.56058 NaN NaN NaN
## -1.09309 0.20137 -5.428 5.69e-08 ***
## -0.37765 NaN NaN NaN
## 0.58130 0.39714 1.464 0.14328
## -0.01755 0.41094 -0.043 0.96593
## -0.39205 NaN NaN NaN
## 0.11167 NaN NaN NaN
## -0.86891 NaN NaN NaN
## -0.15354 0.14012 -1.096 0.27321
## -0.22083 0.21074 -1.048 0.29471
## -0.16716 NaN NaN NaN
## -0.46434 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 20.53322 6.859372 3.502377 0.1937772
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.258 0.0604 0.1808 -0.161
## [2,] -0.258 0.7028 0.2538 -0.685
## [3,] -0.171 0.3300 0.2422 0.912
## [4,] -0.021 0.2681 0.0945 0.800
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0120 0.0273 0.335 -0.175
## [2,] -0.5606 1.0931 0.378 -0.581
## [3,] 0.0176 0.3921 -0.112 0.869
## [4,] 0.1535 0.2208 0.167 0.464
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 224.55161 133.88271 -163.0120 -84.71072
## [2,] 133.88271 150.71357 -161.6772 -96.43205
## [3,] -163.01197 -161.67724 392.0107 163.36024
## [4,] -84.71072 -96.43205 163.3602 137.22799
## ----
## aic= 20.14739
## bic= 21.30375
## Number of parameters: 36
## initial estimates: 23.5498 2.3318 -8.0865 -2.543 -0.1122 0.3216 0.2348 -0.4278 -0.1536 0.5554 -0.0062 -0.1773 0.4083 0.0357 0.2711 0.7255 0.094 -0.2576 -0.0788 0.4989 0.1014 -0.3955 -0.1353 0.4118 0.3173 -0.8435 -0.0758 -0.0656 -0.1131 -0.4084 0.0406 -0.5983 0.5671 -0.5865 0.0791 -0.4447
## Par. lower-bounds: 14.3491 -8.2937 -20.6004 -13.9607 -0.5231 -0.0661 -0.1107 -0.7757 -0.6281 0.1077 -0.4051 -0.5791 -0.1505 -0.4916 -0.1987 0.2523 -0.4159 -0.7387 -0.5075 0.0672 -1.0432 -1.745 -1.1034 -0.3515 -1.0045 -2.402 -1.1939 -0.9472 -1.6698 -2.2439 -1.2762 -1.6366 -0.8532 -2.2612 -1.1224 -1.392
## Par. upper-bounds: 32.7505 12.9573 4.4275 8.8746 0.2987 0.7093 0.5802 -0.0799 0.321 1.0032 0.3927 0.2244 0.9672 0.563 0.7409 1.1986 0.6039 0.2236 0.3499 0.9306 1.2459 0.9541 0.8329 1.1752 1.6391 0.715 1.0422 0.816 1.4437 1.4272 1.3574 0.44 1.9874 1.0882 1.2805 0.5026
## Final Estimates: 23.20103 2.682679 -8.437237 -2.377956 -0.2245285 -0.06433323 0.1625496 -0.6340772 -0.2498152 0.1831478 -0.4051455 -0.03343829 0.5477319 0.3429273 -0.03363233 1.198637 0.1376836 -0.5667838 0.3196286 0.07374275 0.1503052 0.3359675 0.1331573 0.1584343 0.07647797 0.3920158 0.9867309 -0.5877856 -0.3101584 -0.5874648 0.3784629 -0.8871455 0.04369362 0.2311805 -0.4998594 0.4555629## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 23.20103 NaN NaN NaN
## loneliness_state_pmc 2.68268 9.19230 0.292 0.77041
## socintsatisfaction_state_pmc -8.43724 14.60330 -0.578 0.56342
## responsiveness_state_pmc -2.37796 16.00844 -0.149 0.88191
## depressedmood_state -0.22453 NaN NaN NaN
## loneliness_state_pmc -0.06433 0.32069 -0.201 0.84100
## socintsatisfaction_state_pmc 0.16255 0.06992 2.325 0.02008 *
## responsiveness_state_pmc -0.63408 0.44892 -1.412 0.15782
## depressedmood_state -0.24982 0.44802 -0.558 0.57712
## loneliness_state_pmc 0.18315 0.14841 1.234 0.21719
## socintsatisfaction_state_pmc -0.40515 0.14451 -2.804 0.00505 **
## responsiveness_state_pmc -0.03344 NaN NaN NaN
## depressedmood_state 0.54773 0.70616 0.776 0.43796
## loneliness_state_pmc 0.34293 0.16414 2.089 0.03668 *
## socintsatisfaction_state_pmc -0.03363 NaN NaN NaN
## responsiveness_state_pmc 1.19864 NaN NaN NaN
## depressedmood_state 0.13768 0.81358 0.169 0.86561
## loneliness_state_pmc -0.56678 0.17367 -3.264 0.00110 **
## socintsatisfaction_state_pmc 0.31963 0.18269 1.750 0.08020 .
## responsiveness_state_pmc 0.07374 NaN NaN NaN
## 0.15031 NaN NaN NaN
## 0.33597 0.24202 1.388 0.16507
## 0.13316 0.10637 1.252 0.21063
## 0.15843 0.50054 0.317 0.75160
## 0.07648 0.50035 0.153 0.87852
## 0.39202 NaN NaN NaN
## 0.98673 0.06121 16.121 < 2e-16 ***
## -0.58779 NaN NaN NaN
## -0.31016 0.71888 -0.431 0.66615
## -0.58746 NaN NaN NaN
## 0.37846 NaN NaN NaN
## -0.88715 NaN NaN NaN
## 0.04369 0.82670 0.053 0.95785
## 0.23118 NaN NaN NaN
## -0.49986 NaN NaN NaN
## 0.45556 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 23.20103 2.682679 -8.437237 -2.377956
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.225 -0.0643 0.1625 -0.6341
## [2,] -0.250 0.1831 -0.4051 -0.0334
## [3,] 0.548 0.3429 -0.0336 1.1986
## [4,] 0.138 -0.5668 0.3196 0.0737
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.1503 -0.336 -0.133 -0.158
## [2,] -0.0765 -0.392 -0.987 0.588
## [3,] 0.3102 0.587 -0.378 0.887
## [4,] -0.0437 -0.231 0.500 -0.456
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 113.67357 93.43544 -112.8195 -85.36536
## [2,] 93.43544 175.79014 -144.1935 -85.17848
## [3,] -112.81949 -144.19350 219.7163 153.11365
## [4,] -85.36536 -85.17848 153.1136 169.57084
## ----
## aic= 18.80942
## bic= 19.96579
## Number of parameters: 36
## initial estimates: 19.9617 -7.875 35.3755 21.3828 0.4635 0.5558 0.0309 0.1759 0.2094 0.4554 0.0385 -0.0024 -0.9588 0.4122 -0.1776 0.3246 -0.5481 0.0118 0.0535 0.1809 -0.1619 -0.8021 -0.184 -0.2862 0.2595 -1.1633 5e-04 -0.3624 1.3939 0.2297 0.4283 -0.1551 0.9972 -0.0699 -0.0581 0.3199
## Par. lower-bounds: 5.3173 -21.9819 14.1522 6.2847 0.0853 0.1439 -0.2291 -0.1911 -0.1549 0.0586 -0.212 -0.3559 -1.5069 -0.1847 -0.5544 -0.2072 -0.9379 -0.4129 -0.2146 -0.1975 -0.9795 -1.5273 -0.7192 -1.1173 -0.5281 -1.862 -0.515 -1.163 0.209 -0.8213 -0.3474 -1.3596 0.1543 -0.8176 -0.6099 -0.5369
## Par. upper-bounds: 34.6062 6.2318 56.5988 36.481 0.8416 0.9678 0.2909 0.5429 0.5737 0.8522 0.289 0.3511 -0.4108 1.0092 0.1993 0.8565 -0.1582 0.4365 0.3216 0.5593 0.6557 -0.0768 0.3512 0.5449 1.047 -0.4647 0.5161 0.4382 2.5788 1.2808 1.2039 1.0494 1.8401 0.6778 0.4937 1.1768
## Final Estimates: 19.96746 -7.878571 35.37829 21.38453 0.4589805 0.6252952 -0.007757369 0.1909867 0.2185035 0.7996958 0.02771307 0.1619889 -1.045617 0.3780863 -0.2390605 0.4154638 -0.6064027 0.05031422 0.09561894 0.1601952 -0.296021 -0.6815398 -0.01766716 -0.2286723 0.06819495 -1.186253 -0.01891838 -0.1794644 1.180581 0.1858431 0.3715875 -0.07867777 0.8566027 -0.09083217 -0.04105444 0.2508542## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 19.967458 NaN NaN NaN
## loneliness_state_pmc -7.878571 NaN NaN NaN
## socintsatisfaction_state_pmc 35.378293 NaN NaN NaN
## responsiveness_state_pmc 21.384532 NaN NaN NaN
## depressedmood_state 0.458980 NaN NaN NaN
## loneliness_state_pmc 0.625295 NaN NaN NaN
## socintsatisfaction_state_pmc -0.007757 NaN NaN NaN
## responsiveness_state_pmc 0.190987 NaN NaN NaN
## depressedmood_state 0.218503 NaN NaN NaN
## loneliness_state_pmc 0.799696 NaN NaN NaN
## socintsatisfaction_state_pmc 0.027713 0.021819 1.27 0.204
## responsiveness_state_pmc 0.161989 NaN NaN NaN
## depressedmood_state -1.045617 NaN NaN NaN
## loneliness_state_pmc 0.378086 NaN NaN NaN
## socintsatisfaction_state_pmc -0.239060 NaN NaN NaN
## responsiveness_state_pmc 0.415464 NaN NaN NaN
## depressedmood_state -0.606403 NaN NaN NaN
## loneliness_state_pmc 0.050314 NaN NaN NaN
## socintsatisfaction_state_pmc 0.095619 NaN NaN NaN
## responsiveness_state_pmc 0.160195 NaN NaN NaN
## -0.296021 NaN NaN NaN
## -0.681540 NaN NaN NaN
## -0.017667 NaN NaN NaN
## -0.228672 NaN NaN NaN
## 0.068195 NaN NaN NaN
## -1.186253 NaN NaN NaN
## -0.018918 NaN NaN NaN
## -0.179464 NaN NaN NaN
## 1.180581 NaN NaN NaN
## 0.185843 NaN NaN NaN
## 0.371588 NaN NaN NaN
## -0.078678 NaN NaN NaN
## 0.856603 NaN NaN NaN
## -0.090832 NaN NaN NaN
## -0.041054 NaN NaN NaN
## 0.250854 NaN NaN NaN
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 19.96746 -7.878571 35.37829 21.38453
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.459 0.6253 -0.00776 0.191
## [2,] 0.219 0.7997 0.02771 0.162
## [3,] -1.046 0.3781 -0.23906 0.415
## [4,] -0.606 0.0503 0.09562 0.160
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.2960 0.6815 0.0177 0.2287
## [2,] -0.0682 1.1863 0.0189 0.1795
## [3,] -1.1806 -0.1858 -0.3716 0.0787
## [4,] -0.8566 0.0908 0.0411 -0.2509
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 213.4239 118.02099 -133.76012 -109.22390
## [2,] 118.0210 187.11522 -87.73598 -67.19048
## [3,] -133.7601 -87.73598 553.15762 305.40848
## [4,] -109.2239 -67.19048 305.40848 288.40952
## ----
## aic= 22.06893
## bic= 23.2253
## Number of parameters: 36
## initial estimates: 21.6093 -12.0557 25.6253 2.7014 0.2922 0.221 -0.0688 0.4983 0.4425 0.0899 -0.2249 0.4725 -0.902 -0.0381 0.5058 -0.6659 -0.1094 -0.2857 0.1548 -0.2907 -0.0692 -0.6464 -0.0999 -0.4221 -0.4632 -0.1641 0.2117 -0.1535 0.339 -0.6448 -0.0736 -0.855 -0.2352 0.132 -0.1579 -0.5017
## Par. lower-bounds: 9.4366 -24.1299 1.684 -7.812 -0.1149 -0.1469 -0.2295 0.1153 0.0387 -0.2749 -0.3843 0.0927 -1.7027 -0.7616 0.1898 -1.4192 -0.461 -0.6033 0.016 -0.6214 -0.6933 -1.341 -0.4005 -1.3354 -1.0823 -0.8532 -0.0865 -1.0594 -0.8886 -2.0111 -0.6649 -2.6512 -0.7743 -0.468 -0.4176 -1.2905
## Par. upper-bounds: 33.782 0.0185 49.5665 13.2149 0.6993 0.5888 0.0919 0.8813 0.8463 0.4548 -0.0655 0.8524 -0.1013 0.6853 0.8218 0.0873 0.2422 0.032 0.2936 0.0401 0.5549 0.0483 0.2007 0.4912 0.1559 0.5249 0.5099 0.7524 1.5665 0.7215 0.5177 0.9412 0.3038 0.7319 0.1017 0.2871
## Final Estimates: 21.70829 -12.25078 25.71712 2.669242 0.250273 0.5882986 -0.2242489 0.8560354 0.4420128 0.4207137 -0.3831636 0.8524044 -0.9737774 -0.255165 0.4347994 -0.3906884 -0.1137993 0.03159632 0.2616217 0.0400898 -0.08420112 -0.6197453 0.1939124 -0.6088875 -0.45654 -0.3393016 0.3671909 -0.7752997 0.4197757 0.3929821 -0.008467639 -0.2921244 0.001663916 -0.141405 -0.1357755 -0.3175059## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 21.708291 6.377806 3.404 0.000665 ***
## loneliness_state_pmc -12.250781 4.767443 -2.570 0.010179 *
## socintsatisfaction_state_pmc 25.717116 7.385210 3.482 0.000497 ***
## responsiveness_state_pmc 2.669242 NaN NaN NaN
## depressedmood_state 0.250273 0.267409 0.936 0.349316
## loneliness_state_pmc 0.588299 0.245630 2.395 0.016618 *
## socintsatisfaction_state_pmc -0.224249 NaN NaN NaN
## responsiveness_state_pmc 0.856035 NaN NaN NaN
## depressedmood_state 0.442013 0.216428 2.042 0.041121 *
## loneliness_state_pmc 0.420714 0.242855 1.732 0.083209 .
## socintsatisfaction_state_pmc -0.383164 NaN NaN NaN
## responsiveness_state_pmc 0.852404 NaN NaN NaN
## depressedmood_state -0.973777 0.304973 -3.193 0.001408 **
## loneliness_state_pmc -0.255165 0.549649 -0.464 0.642481
## socintsatisfaction_state_pmc 0.434799 NaN NaN NaN
## responsiveness_state_pmc -0.390688 0.263671 -1.482 0.138413
## depressedmood_state -0.113799 NaN NaN NaN
## loneliness_state_pmc 0.031596 NaN NaN NaN
## socintsatisfaction_state_pmc 0.261622 NaN NaN NaN
## responsiveness_state_pmc 0.040090 0.202262 0.198 0.842883
## -0.084201 0.292900 -0.287 0.773750
## -0.619745 0.307067 -2.018 0.043563 *
## 0.193912 NaN NaN NaN
## -0.608887 NaN NaN NaN
## -0.456540 0.185212 -2.465 0.013703 *
## -0.339302 NaN NaN NaN
## 0.367191 NaN NaN NaN
## -0.775300 NaN NaN NaN
## 0.419776 0.219873 1.909 0.056239 .
## 0.392982 NaN NaN NaN
## -0.008468 NaN NaN NaN
## -0.292124 NaN NaN NaN
## 0.001664 NaN NaN NaN
## -0.141405 NaN NaN NaN
## -0.135776 NaN NaN NaN
## -0.317506 0.182341 -1.741 0.081635 .
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 21.70829 -12.25078 25.71712 2.669242
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.250 0.5883 -0.224 0.8560
## [2,] 0.442 0.4207 -0.383 0.8524
## [3,] -0.974 -0.2552 0.435 -0.3907
## [4,] -0.114 0.0316 0.262 0.0401
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.08420 0.620 -0.19391 0.609
## [2,] 0.45654 0.339 -0.36719 0.775
## [3,] -0.41978 -0.393 0.00847 0.292
## [4,] -0.00166 0.141 0.13578 0.318
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 114.30027 57.54957 37.98587 -31.80961
## [2,] 57.54957 113.88308 -38.57525 -36.42597
## [3,] 37.98587 -38.57525 492.08894 80.15045
## [4,] -31.80961 -36.42597 80.15045 103.87188
## ----
## aic= 20.63618
## bic= 21.79255
## Number of parameters: 36
## initial estimates: 26.6716 -9.5884 32.6454 7.8644 0.2657 -0.2371 -0.0549 0.1147 0.2008 -0.2235 0.0102 0.0159 -0.8105 0.2651 -0.1163 -0.0358 -0.2093 0.1024 -0.0999 0.1263 0.0961 -1.619 -0.2852 -0.6925 -0.0845 -0.2069 -0.1897 -0.3584 1.2287 -1.4723 -0.307 0.7607 0.0318 0.9909 0.2437 0.5601
## Par. lower-bounds: 12.1489 -18.7896 8.9843 -2.457 -0.1058 -0.7143 -0.2933 -0.4132 -0.0346 -0.5259 -0.1408 -0.3185 -1.4158 -0.5124 -0.5048 -0.8958 -0.4733 -0.2367 -0.2694 -0.2488 -0.6436 -3.8815 -0.8527 -1.8699 -0.5532 -1.6404 -0.5492 -1.1043 0.0235 -5.1585 -1.2315 -1.1575 -0.4939 -0.6172 -0.1596 -0.2766
## Par. upper-bounds: 41.1943 -0.3872 56.3065 18.1858 0.6372 0.2402 0.1836 0.6425 0.4362 0.0788 0.1613 0.3503 -0.2052 1.0426 0.2722 0.8241 0.0547 0.4416 0.0695 0.5014 0.8359 0.6436 0.2822 0.4848 0.3842 1.2266 0.1698 0.3875 2.4339 2.214 0.6175 2.6788 0.5575 2.5989 0.647 1.3968
## Final Estimates: 26.59411 -9.454812 32.7112 7.832344 0.3084309 0.2401577 -0.05224508 0.1864185 0.2581262 0.0788176 0.1613326 0.3503141 -0.8913957 0.6812733 0.2721969 -0.2796044 -0.2200495 0.05012867 0.06954559 -0.1485081 -0.4657805 -0.7531919 -0.2664074 -0.07240982 -0.3214952 -0.4401476 -0.3279197 -0.4265904 0.9820825 -0.6923522 -0.364566 0.4521679 0.116355 0.1995128 -0.09142674 0.2641833## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 26.59411 NaN NaN NaN
## loneliness_state_pmc -9.45481 NaN NaN NaN
## socintsatisfaction_state_pmc 32.71120 11.13263 2.938 0.003300 **
## responsiveness_state_pmc 7.83234 NaN NaN NaN
## depressedmood_state 0.30843 NaN NaN NaN
## loneliness_state_pmc 0.24016 0.68438 0.351 0.725655
## socintsatisfaction_state_pmc -0.05225 NaN NaN NaN
## responsiveness_state_pmc 0.18642 0.60934 0.306 0.759652
## depressedmood_state 0.25813 NaN NaN NaN
## loneliness_state_pmc 0.07882 NaN NaN NaN
## socintsatisfaction_state_pmc 0.16133 0.12001 1.344 0.178827
## responsiveness_state_pmc 0.35031 0.34900 1.004 0.315490
## depressedmood_state -0.89140 0.28908 -3.084 0.002045 **
## loneliness_state_pmc 0.68127 NaN NaN NaN
## socintsatisfaction_state_pmc 0.27220 NaN NaN NaN
## responsiveness_state_pmc -0.27960 0.59543 -0.470 0.638654
## depressedmood_state -0.22005 NaN NaN NaN
## loneliness_state_pmc 0.05013 NaN NaN NaN
## socintsatisfaction_state_pmc 0.06955 NaN NaN NaN
## responsiveness_state_pmc -0.14851 0.56149 -0.264 0.791402
## -0.46578 NaN NaN NaN
## -0.75319 0.64361 -1.170 0.241893
## -0.26641 NaN NaN NaN
## -0.07241 0.49569 -0.146 0.883859
## -0.32150 0.08800 -3.653 0.000259 ***
## -0.44015 NaN NaN NaN
## -0.32792 0.15067 -2.176 0.029520 *
## -0.42659 0.30938 -1.379 0.167939
## 0.98208 0.32178 3.052 0.002273 **
## -0.69235 NaN NaN NaN
## -0.36457 NaN NaN NaN
## 0.45217 0.42187 1.072 0.283800
## 0.11635 NaN NaN NaN
## 0.19951 NaN NaN NaN
## -0.09143 NaN NaN NaN
## 0.26418 0.50994 0.518 0.604409
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 26.59411 -9.454812 32.7112 7.832344
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.308 0.2402 -0.0522 0.186
## [2,] 0.258 0.0788 0.1613 0.350
## [3,] -0.891 0.6813 0.2722 -0.280
## [4,] -0.220 0.0501 0.0695 -0.149
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.466 0.753 0.2664 0.0724
## [2,] 0.321 0.440 0.3279 0.4266
## [3,] -0.982 0.692 0.3646 -0.4522
## [4,] -0.116 -0.200 0.0914 -0.2642
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 218.89493 76.20768 -175.6047 -81.38337
## [2,] 76.20768 92.38823 -128.3808 -40.49264
## [3,] -175.60466 -128.38082 555.4565 159.31513
## [4,] -81.38337 -40.49264 159.3151 107.65639
## ----
## aic= 20.47441
## bic= 21.63077
## Number of parameters: 36
## initial estimates: 24.1038 2.5902 -19.5209 -6.3567 0.2393 -5e-04 -0.2754 0.232 -0.1173 0.3132 -0.2416 0.1175 0.6202 -0.4312 0.4601 0.275 0.2377 -0.1757 0.3213 0.2887 0.1641 0.0126 0.3652 -0.1388 -0.2845 -0.0476 0.0428 0.1057 -0.8607 -0.0192 -0.1286 -0.474 -0.3894 0.1368 0.104 -0.2402
## Par. lower-bounds: 9.3685 -10.5439 -33.8533 -17.2656 -0.134 -0.4296 -0.6182 -0.2544 -0.45 -0.0692 -0.5471 -0.3161 0.2571 -0.8485 0.1267 -0.1981 -0.0387 -0.4933 0.0675 -0.0714 -0.8286 -1.0378 -0.5977 -1.121 -1.1694 -0.9839 -0.8154 -0.7697 -1.8263 -1.0409 -1.0651 -1.4293 -1.1244 -0.6409 -0.6089 -0.9673
## Par. upper-bounds: 38.8391 15.7243 -5.1886 4.5522 0.6126 0.4285 0.0674 0.7184 0.2154 0.6956 0.064 0.551 0.9833 -0.0139 0.7936 0.7481 0.514 0.1419 0.5751 0.6488 1.1569 1.0631 1.3281 0.8433 0.6004 0.8887 0.9011 0.9811 0.105 1.0026 0.808 0.4812 0.3455 0.9145 0.8169 0.4869
## Final Estimates: 24.00559 2.795252 -19.78425 -6.545771 0.2292177 0.3600563 -0.07046664 0.1941218 -0.1032621 0.6956242 0.0639624 -0.2584447 0.7531877 -0.01404304 0.7935629 -0.06622971 0.281629 -0.1383226 0.1036259 0.648676 0.03663016 -0.5976569 -0.4067972 -0.1137125 0.1106597 -0.7352581 -0.3626415 0.3981245 -0.5523709 -0.4052725 -0.3927178 0.09022441 -0.2427485 -0.06400519 0.05415448 -0.5170676## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 24.00559 5.31160 4.519 6.20e-06 ***
## loneliness_state_pmc 2.79525 NaN NaN NaN
## socintsatisfaction_state_pmc -19.78425 4.57687 -4.323 1.54e-05 ***
## responsiveness_state_pmc -6.54577 1.93615 -3.381 0.000723 ***
## depressedmood_state 0.22922 0.18238 1.257 0.208810
## loneliness_state_pmc 0.36006 NaN NaN NaN
## socintsatisfaction_state_pmc -0.07047 0.29017 -0.243 0.808125
## responsiveness_state_pmc 0.19412 0.56047 0.346 0.729075
## depressedmood_state -0.10326 NaN NaN NaN
## loneliness_state_pmc 0.69562 NaN NaN NaN
## socintsatisfaction_state_pmc 0.06396 0.09680 0.661 0.508767
## responsiveness_state_pmc -0.25844 0.16694 -1.548 0.121597
## depressedmood_state 0.75319 0.18582 4.053 5.05e-05 ***
## loneliness_state_pmc -0.01404 NaN NaN NaN
## socintsatisfaction_state_pmc 0.79356 0.31565 2.514 0.011935 *
## responsiveness_state_pmc -0.06623 0.50596 -0.131 0.895854
## depressedmood_state 0.28163 0.07484 3.763 0.000168 ***
## loneliness_state_pmc -0.13832 NaN NaN NaN
## socintsatisfaction_state_pmc 0.10363 NaN NaN NaN
## responsiveness_state_pmc 0.64868 NaN NaN NaN
## 0.03663 0.32238 0.114 0.909536
## -0.59766 0.09011 -6.633 3.29e-11 ***
## -0.40680 0.29588 -1.375 0.169165
## -0.11371 0.57311 -0.198 0.842723
## 0.11066 NaN NaN NaN
## -0.73526 NaN NaN NaN
## -0.36264 0.10804 -3.357 0.000789 ***
## 0.39812 0.11349 3.508 0.000451 ***
## -0.55237 0.15919 -3.470 0.000521 ***
## -0.40527 NaN NaN NaN
## -0.39272 0.29017 -1.353 0.175925
## 0.09022 0.43005 0.210 0.833823
## -0.24275 NaN NaN NaN
## -0.06401 NaN NaN NaN
## 0.05415 NaN NaN NaN
## -0.51707 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 24.00559 2.795252 -19.78425 -6.545771
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.229 0.360 -0.0705 0.1941
## [2,] -0.103 0.696 0.0640 -0.2584
## [3,] 0.753 -0.014 0.7936 -0.0662
## [4,] 0.282 -0.138 0.1036 0.6487
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.0366 0.598 0.4068 0.1137
## [2,] -0.1107 0.735 0.3626 -0.3981
## [3,] 0.5524 0.405 0.3927 -0.0902
## [4,] 0.2427 0.064 -0.0542 0.5171
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 664.7207 403.8963 -242.2672 -233.1145
## [2,] 403.8963 545.9737 -203.0003 -245.9463
## [3,] -242.2672 -203.0003 569.7920 242.8209
## [4,] -233.1145 -245.9463 242.8209 442.4888
## ----
## aic= 25.0371
## bic= 26.19347
## Number of parameters: 36
## initial estimates: 21.6496 -16.7937 3.2237 -1.5868 0.2847 0.0349 -0.2026 0.0807 0.586 0.224 -0.1894 0.054 -0.1208 -0.0776 0.3327 0.0358 0.0181 0.0483 0.268 0.2476 0.2816 -0.3312 -0.1673 -0.1464 -0.2198 -0.4504 0.0374 -0.6723 -0.4383 0.1932 -0.153 0.3323 -0.3682 0.1531 -0.5331 0.2612
## Par. lower-bounds: 9.7922 -33.8194 -15.2747 -20.62 -0.0949 -0.2304 -0.528 -0.2344 0.0408 -0.157 -0.6568 -0.3983 -0.7131 -0.4915 -0.1751 -0.4556 -0.5914 -0.3776 -0.2544 -0.2581 -0.4647 -0.8399 -0.6653 -0.667 -1.2915 -1.1809 -0.6777 -1.4198 -1.6027 -0.6004 -0.93 -0.4799 -1.5662 -0.6634 -1.3325 -0.5745
## Par. upper-bounds: 33.5071 0.2321 21.7221 17.4464 0.6644 0.3003 0.1229 0.3957 1.1311 0.605 0.2779 0.5063 0.4715 0.3364 0.8404 0.5273 0.6275 0.4742 0.7905 0.7532 1.028 0.1775 0.3307 0.3742 0.8518 0.28 0.7525 0.0753 0.726 0.9868 0.624 1.1445 0.8299 0.9697 0.2663 1.0968
## Final Estimates: 21.7473 -16.79999 3.194033 -1.569407 0.2456341 0.2133767 0.1228922 -0.2275066 0.6069356 0.5099283 0.110201 0.5063279 -0.1510133 -0.071643 -0.03177348 0.2135228 0.01077998 -0.02958562 0.1977218 -0.2580713 0.1866556 -0.4179097 -0.4450971 0.2694562 -0.007965149 -0.4934079 -0.3929353 -0.6223606 -0.2403801 0.1796926 0.595938 -0.2411223 -0.2946689 0.2206435 -0.09244129 0.5750025## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 21.747302 NaN NaN NaN
## loneliness_state_pmc -16.799991 NaN NaN NaN
## socintsatisfaction_state_pmc 3.194033 7.416536 0.431 0.667
## responsiveness_state_pmc -1.569407 NaN NaN NaN
## depressedmood_state 0.245634 NaN NaN NaN
## loneliness_state_pmc 0.213377 NaN NaN NaN
## socintsatisfaction_state_pmc 0.122892 0.412242 0.298 0.766
## responsiveness_state_pmc -0.227507 NaN NaN NaN
## depressedmood_state 0.606936 NaN NaN NaN
## loneliness_state_pmc 0.509928 NaN NaN NaN
## socintsatisfaction_state_pmc 0.110201 0.268054 0.411 0.681
## responsiveness_state_pmc 0.506328 NaN NaN NaN
## depressedmood_state -0.151013 0.353779 -0.427 0.669
## loneliness_state_pmc -0.071643 NaN NaN NaN
## socintsatisfaction_state_pmc -0.031773 NaN NaN NaN
## responsiveness_state_pmc 0.213523 NaN NaN NaN
## depressedmood_state 0.010780 NaN NaN NaN
## loneliness_state_pmc -0.029586 NaN NaN NaN
## socintsatisfaction_state_pmc 0.197722 NaN NaN NaN
## responsiveness_state_pmc -0.258071 0.323321 -0.798 0.425
## 0.186656 NaN NaN NaN
## -0.417910 NaN NaN NaN
## -0.445097 0.379720 -1.172 0.241
## 0.269456 NaN NaN NaN
## -0.007965 NaN NaN NaN
## -0.493408 NaN NaN NaN
## -0.392935 NaN NaN NaN
## -0.622361 NaN NaN NaN
## -0.240380 0.404037 -0.595 0.552
## 0.179693 NaN NaN NaN
## 0.595938 NaN NaN NaN
## -0.241122 NaN NaN NaN
## -0.294669 NaN NaN NaN
## 0.220644 NaN NaN NaN
## -0.092441 NaN NaN NaN
## 0.575002 0.438576 1.311 0.190
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 21.7473 -16.79999 3.194033 -1.569407
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.2456 0.2134 0.1229 -0.228
## [2,] 0.6069 0.5099 0.1102 0.506
## [3,] -0.1510 -0.0716 -0.0318 0.214
## [4,] 0.0108 -0.0296 0.1977 -0.258
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.18666 0.418 0.4451 -0.269
## [2,] 0.00797 0.493 0.3929 0.622
## [3,] 0.24038 -0.180 -0.5959 0.241
## [4,] 0.29467 -0.221 0.0924 -0.575
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 175.7023 160.5117 -128.7083 -137.0395
## [2,] 160.5117 376.2710 -236.6068 -271.7965
## [3,] -128.7083 -236.6068 475.7112 350.7964
## [4,] -137.0395 -271.7965 350.7964 490.1754
## ----
## aic= 22.67201
## bic= 23.82838
## Number of parameters: 36
## initial estimates: 25.4824 3.5559 -1.3732 -2.8665 0.0833 0.3026 0.217 -0.5424 -0.0776 0.3255 0.1091 -0.2565 0.0238 -0.0411 0.5281 0.0897 0.0934 -0.1599 0.0241 0.61 -0.2516 -0.1844 -0.4983 0.4549 -0.2665 -0.0733 -0.0486 0.1479 -1.1432 0.7847 9e-04 -0.8295 -0.6529 0.2844 0.1533 -0.8951
## Par. lower-bounds: 16.9917 -7.9509 -18.471 -13.5562 -0.2149 0.0406 0.0463 -0.866 -0.4818 -0.0296 -0.1222 -0.6951 -0.5767 -0.5687 0.1844 -0.562 -0.2821 -0.4898 -0.1908 0.2026 -1.035 -0.6666 -0.8607 -0.2012 -1.3283 -0.7269 -0.5398 -0.7413 -2.7209 -0.1864 -0.7289 -2.1507 -1.6393 -0.3228 -0.303 -1.7211
## Par. upper-bounds: 33.9731 15.0627 15.7246 7.8232 0.3816 0.5646 0.3877 -0.2188 0.3265 0.6806 0.3404 0.182 0.6244 0.4866 0.8718 0.7414 0.4689 0.17 0.239 1.0175 0.5319 0.2978 -0.1359 1.1111 0.7953 0.5802 0.4425 1.0371 0.4345 1.7558 0.7307 0.4917 0.3336 0.8915 0.6095 -0.069
## Final Estimates: 25.39632 3.53558 -1.517621 -2.758665 0.02979599 0.4828997 0.3871642 -0.7486654 -0.1713504 -0.01500479 0.3257349 -0.6779909 0.08017182 0.4662151 0.4370497 0.329114 0.08012875 -0.4738382 0.04282869 0.5293662 -0.05656768 -0.2273714 -0.4288785 0.4387232 0.2376709 0.4549257 -0.5043699 0.8860027 -0.1803707 -0.1853993 0.2260186 -0.4689765 -0.04874224 0.6785204 0.1005993 -0.1587895
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 25.3963243 14.0321014 1.810 0.07032 .
## loneliness_state_pmc 3.5355804 1.3545459 2.610 0.00905 **
## socintsatisfaction_state_pmc -1.5176213 6.5318102 -0.232 0.81627
## responsiveness_state_pmc -2.7586655 7.4595646 -0.370 0.71152
## depressedmood_state 0.0297960 0.5438135 0.055 0.95631
## loneliness_state_pmc 0.4828997 0.4883942 0.989 0.32279
## socintsatisfaction_state_pmc 0.3871642 0.2133777 1.814 0.06961 .
## responsiveness_state_pmc -0.7486654 0.5904326 -1.268 0.20480
## depressedmood_state -0.1713504 0.0613933 -2.791 0.00525 **
## loneliness_state_pmc -0.0150048 0.0582642 -0.258 0.79677
## socintsatisfaction_state_pmc 0.3257349 0.1229315 2.650 0.00806 **
## responsiveness_state_pmc -0.6779909 0.0146494 -46.281 < 2e-16 ***
## depressedmood_state 0.0801718 0.2217279 0.362 0.71767
## loneliness_state_pmc 0.4662151 0.2613372 1.784 0.07443 .
## socintsatisfaction_state_pmc 0.4370497 0.1993434 2.192 0.02835 *
## responsiveness_state_pmc 0.3291140 0.2978655 1.105 0.26920
## depressedmood_state 0.0801287 0.2676831 0.299 0.76468
## loneliness_state_pmc -0.4738382 0.0797316 -5.943 2.80e-09 ***
## socintsatisfaction_state_pmc 0.0428287 0.1724431 0.248 0.80385
## responsiveness_state_pmc 0.5293662 0.0589739 8.976 < 2e-16 ***
## -0.0565677 0.7144307 -0.079 0.93689
## -0.2273714 0.6602556 -0.344 0.73057
## -0.4288785 0.2899834 -1.479 0.13915
## 0.4387232 0.7119858 0.616 0.53776
## 0.2376709 0.1271457 1.869 0.06158 .
## 0.4549257 0.0283735 16.033 < 2e-16 ***
## -0.5043699 0.1848925 -2.728 0.00637 **
## 0.8860027 0.0003142 2819.699 < 2e-16 ***
## -0.1803707 0.3680286 -0.490 0.62406
## -0.1853993 0.2728736 -0.679 0.49686
## 0.2260186 0.2132953 1.060 0.28930
## -0.4689765 0.0848246 -5.529 3.22e-08 ***
## -0.0487422 0.3480705 -0.140 0.88863
## 0.6785204 0.0073402 92.439 < 2e-16 ***
## 0.1005993 0.3382156 0.297 0.76613
## -0.1587895 0.2280362 -0.696 0.48622
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 25.39632 3.53558 -1.517621 -2.758665
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0298 0.483 0.3872 -0.749
## [2,] -0.1714 -0.015 0.3257 -0.678
## [3,] 0.0802 0.466 0.4370 0.329
## [4,] 0.0801 -0.474 0.0428 0.529
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0566 0.227 0.429 -0.439
## [2,] -0.2377 -0.455 0.504 -0.886
## [3,] 0.1804 0.185 -0.226 0.469
## [4,] 0.0487 -0.679 -0.101 0.159
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 69.67322 39.07749 -17.65485 -34.58124
## [2,] 39.07749 100.86984 -52.53042 -53.34193
## [3,] -17.65485 -52.53042 316.70272 112.37668
## [4,] -34.58124 -53.34193 112.37668 117.78389
## ----
## aic= 19.41722
## bic= 20.57359
## Number of parameters: 36
## initial estimates: 36.6099 -3.3913 4.458 0.4776 0.0257 0.057 -0.2244 -0.0296 0.0843 -0.0772 -0.1949 -0.0581 -0.0884 0.3274 0.4017 0.0313 0.0124 0.2115 0.0881 0.6647 0.8811 -0.2145 -0.1922 1.1766 0.0747 -0.2272 0.7723 -0.1822 -0.0209 -0.5397 -0.6695 0.3724 -0.1778 -0.2027 -0.3244 -0.2494
## Par. lower-bounds: 20.6927 -17.37 -11.5246 -10.2005 -0.3898 -0.4376 -0.582 -0.433 -0.2806 -0.5116 -0.509 -0.4125 -0.5057 -0.1693 0.0425 -0.3739 -0.2663 -0.1203 -0.1518 0.394 -0.1611 -1.1012 -1.2187 -0.3536 -0.8406 -1.0059 -0.1293 -1.5261 -1.0674 -1.4301 -1.7002 -1.1641 -0.877 -0.7976 -1.013 -1.2759
## Par. upper-bounds: 52.5271 10.5873 20.4407 11.1558 0.4412 0.5517 0.1333 0.3739 0.4493 0.3572 0.1192 0.2962 0.3288 0.8241 0.7608 0.4364 0.2912 0.5434 0.328 0.9354 1.9233 0.6723 0.8343 2.7069 0.99 0.5515 1.6738 1.1616 1.0256 0.3507 0.3613 1.9089 0.5214 0.3922 0.3643 0.7772
## Final Estimates: 36.60711 -3.329188 4.45878 0.4252324 0.01838165 0.4838353 0.1024794 -0.1966853 0.1047462 0.1400436 -0.5083104 0.2094203 -0.08858343 0.6771991 0.7607987 -0.02427967 0.04753839 0.5433992 -0.01113151 0.4527159 0.3270514 -0.4683553 -0.09119965 0.4360461 0.2510709 -0.5008885 0.8135732 -0.4459827 -0.05695884 -0.8326306 -0.7962272 -0.2203846 -0.1942034 -0.5305454 -0.1232863 0.1126422## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 36.60711 12.40478 2.951 0.00317 **
## loneliness_state_pmc -3.32919 7.99910 -0.416 0.67727
## socintsatisfaction_state_pmc 4.45878 3.55488 1.254 0.20974
## responsiveness_state_pmc 0.42523 14.04773 0.030 0.97585
## depressedmood_state 0.01838 0.32386 0.057 0.95474
## loneliness_state_pmc 0.48384 0.37559 1.288 0.19768
## socintsatisfaction_state_pmc 0.10248 NaN NaN NaN
## responsiveness_state_pmc -0.19669 0.35563 -0.553 0.58022
## depressedmood_state 0.10475 0.21266 0.493 0.62233
## loneliness_state_pmc 0.14004 0.22168 0.632 0.52756
## socintsatisfaction_state_pmc -0.50831 0.10306 -4.932 8.13e-07 ***
## responsiveness_state_pmc 0.20942 0.12666 1.653 0.09824 .
## depressedmood_state -0.08858 0.09846 -0.900 0.36829
## loneliness_state_pmc 0.67720 0.14841 4.563 5.04e-06 ***
## socintsatisfaction_state_pmc 0.76080 0.09103 8.358 < 2e-16 ***
## responsiveness_state_pmc -0.02428 0.14868 -0.163 0.87028
## depressedmood_state 0.04754 0.39132 0.121 0.90331
## loneliness_state_pmc 0.54340 0.40702 1.335 0.18185
## socintsatisfaction_state_pmc -0.01113 0.06053 -0.184 0.85409
## responsiveness_state_pmc 0.45272 0.28859 1.569 0.11671
## 0.32705 0.50794 0.644 0.51965
## -0.46836 0.50874 -0.921 0.35725
## -0.09120 NaN NaN NaN
## 0.43605 0.68635 0.635 0.52523
## 0.25107 0.25373 0.990 0.32240
## -0.50089 0.29548 -1.695 0.09004 .
## 0.81357 0.09793 8.307 < 2e-16 ***
## -0.44598 0.07652 -5.829 5.59e-09 ***
## -0.05696 0.13809 -0.412 0.67999
## -0.83263 0.16190 -5.143 2.71e-07 ***
## -0.79623 0.06787 -11.731 < 2e-16 ***
## -0.22038 0.12385 -1.779 0.07517 .
## -0.19420 0.44559 -0.436 0.66295
## -0.53055 0.50981 -1.041 0.29803
## -0.12329 NaN NaN NaN
## 0.11264 0.29550 0.381 0.70307
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 36.60711 -3.329188 4.45878 0.4252324
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0184 0.484 0.1025 -0.1967
## [2,] 0.1047 0.140 -0.5083 0.2094
## [3,] -0.0886 0.677 0.7608 -0.0243
## [4,] 0.0475 0.543 -0.0111 0.4527
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.327 0.468 0.0912 -0.436
## [2,] -0.251 0.501 -0.8136 0.446
## [3,] 0.057 0.833 0.7962 0.220
## [4,] 0.194 0.531 0.1233 -0.113
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 175.44829 86.40907 -60.09003 -52.67888
## [2,] 86.40907 110.35991 -36.05723 -37.90454
## [3,] -60.09003 -36.05723 149.06466 63.96089
## [4,] -52.67888 -37.90454 63.96089 74.50094
## ----
## aic= 18.97448
## bic= 20.13085
## Number of parameters: 36
## initial estimates: 9.0451 -4.2383 -1.7033 -4.7447 0.2152 -0.1809 -0.0018 -0.0283 0.1169 -0.1491 -0.008 -0.0416 0.2773 0.3516 0.5819 -0.4054 0.4955 0.1032 0.0781 0.0692 -0.2322 -0.2134 -0.322 0.4341 -0.1369 -0.3212 -0.1265 0.4636 0.7013 -0.0144 0.8975 -0.5377 0.291 0.4909 0.916 -0.4082
## Par. lower-bounds: 4.7282 -9.5469 -11.0749 -11.3235 -0.1051 -0.4049 -0.167 -0.2774 -0.2771 -0.4245 -0.2111 -0.3479 -0.4182 -0.1346 0.2234 -0.9462 0.0073 -0.2381 -0.1737 -0.3104 -0.7897 -0.7917 -0.7904 -0.0693 -0.8226 -1.0324 -0.7025 -0.1555 -0.5091 -1.2698 -0.1192 -1.6306 -0.5587 -0.3904 0.2023 -1.1754
## Par. upper-bounds: 13.362 1.0702 7.6683 1.8341 0.5356 0.043 0.1634 0.2207 0.5108 0.1264 0.1952 0.2647 0.9728 0.8378 0.9405 0.1354 0.9838 0.4446 0.3298 0.4488 0.3254 0.3649 0.1463 0.9376 0.5487 0.3899 0.4494 1.0827 1.9117 1.2411 1.9142 0.5552 1.1407 1.3722 1.6297 0.359
## Final Estimates: 8.30124 -4.359526 -0.4953313 -5.131754 0.4185125 0.04303321 -0.04366902 -0.2774441 0.2938467 0.1263516 -0.1421441 -0.3479094 -0.0897077 -0.1346161 0.2974153 0.1353681 0.3437398 -0.2380581 -0.01937135 0.4487983 0.09141889 -0.1227639 -0.1056736 0.5529479 0.1640461 -0.06546671 0.08770695 0.5589567 0.356163 -0.1095693 0.3243617 -0.7979005 -0.179891 -0.05605228 0.222989 -0.6557595## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 8.30124 NaN NaN NaN
## loneliness_state_pmc -4.35953 NaN NaN NaN
## socintsatisfaction_state_pmc -0.49533 3.80949 -0.130 0.897
## responsiveness_state_pmc -5.13175 NaN NaN NaN
## depressedmood_state 0.41851 NaN NaN NaN
## loneliness_state_pmc 0.04303 0.25300 0.170 0.865
## socintsatisfaction_state_pmc -0.04367 0.15130 -0.289 0.773
## responsiveness_state_pmc -0.27744 NaN NaN NaN
## depressedmood_state 0.29385 NaN NaN NaN
## loneliness_state_pmc 0.12635 0.21317 0.593 0.553
## socintsatisfaction_state_pmc -0.14214 NaN NaN NaN
## responsiveness_state_pmc -0.34791 NaN NaN NaN
## depressedmood_state -0.08971 0.20011 -0.448 0.654
## loneliness_state_pmc -0.13462 NaN NaN NaN
## socintsatisfaction_state_pmc 0.29742 0.20388 1.459 0.145
## responsiveness_state_pmc 0.13537 0.83004 0.163 0.870
## depressedmood_state 0.34374 NaN NaN NaN
## loneliness_state_pmc -0.23806 0.16464 -1.446 0.148
## socintsatisfaction_state_pmc -0.01937 NaN NaN NaN
## responsiveness_state_pmc 0.44880 NaN NaN NaN
## 0.09142 NaN NaN NaN
## -0.12276 0.17998 -0.682 0.495
## -0.10567 0.20491 -0.516 0.606
## 0.55295 NaN NaN NaN
## 0.16405 NaN NaN NaN
## -0.06547 0.13182 -0.497 0.619
## 0.08771 0.11383 0.771 0.441
## 0.55896 NaN NaN NaN
## 0.35616 0.14788 2.408 0.016 *
## -0.10957 NaN NaN NaN
## 0.32436 0.25431 1.275 0.202
## -0.79790 1.03463 -0.771 0.441
## -0.17989 NaN NaN NaN
## -0.05605 0.11200 -0.500 0.617
## 0.22299 NaN NaN NaN
## -0.65576 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 8.30124 -4.359526 -0.4953313 -5.131754
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.4185 0.043 -0.0437 -0.277
## [2,] 0.2938 0.126 -0.1421 -0.348
## [3,] -0.0897 -0.135 0.2974 0.135
## [4,] 0.3437 -0.238 -0.0194 0.449
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.0914 0.1228 0.1057 -0.553
## [2,] -0.1640 0.0655 -0.0877 -0.559
## [3,] -0.3562 0.1096 -0.3244 0.798
## [4,] 0.1799 0.0561 -0.2230 0.656
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 49.76745 6.63923 -19.0428 -24.50897
## [2,] 6.63923 74.18561 -60.9168 -29.48947
## [3,] -19.04280 -60.91680 343.2337 157.66262
## [4,] -24.50897 -29.48947 157.6626 140.69577
## ----
## aic= 19.04434
## bic= 20.20071
## Number of parameters: 36
## initial estimates: 19.2837 3.0659 -1.6115 -3.1 0.266 -0.1376 -0.129 -0.4359 -0.0196 -0.0069 -0.012 -0.5164 0.006 0.2391 0.3874 0.464 0.063 0.1291 0.1351 0.3895 -0.3289 -0.2635 -0.6926 0.3123 -0.0866 0.0991 -0.2591 0.1572 -0.2239 0.1805 -0.3128 0.0919 -0.5437 -0.0959 -0.5677 0.0307
## Par. lower-bounds: 10.4131 -4.4134 -9.0658 -10.0676 -0.0535 -0.5457 -0.4876 -0.8744 -0.289 -0.351 -0.3144 -0.8861 -0.2625 -0.1038 0.086 0.0955 -0.188 -0.1914 -0.1465 0.0451 -1.2864 -1.0837 -1.638 -0.5242 -0.8939 -0.5925 -1.0562 -0.5481 -1.0285 -0.5087 -1.1072 -0.611 -1.2957 -0.7402 -1.3103 -0.6263
## Par. upper-bounds: 28.1543 10.5452 5.8429 3.8677 0.5855 0.2705 0.2296 0.0026 0.2498 0.3372 0.2903 -0.1467 0.2745 0.5821 0.6887 0.8325 0.314 0.4497 0.4168 0.7339 0.6285 0.5567 0.2528 1.1487 0.7207 0.7906 0.538 0.8625 0.5806 0.8697 0.4817 0.7948 0.2084 0.5483 0.1749 0.6877
## Final Estimates: 19.39906 3.335048 -1.134273 -2.804135 0.1686536 -0.4468822 0.1910019 -0.8554242 -0.2538409 -0.2533463 0.0005545037 -0.8853353 -0.04652323 -0.09795267 0.08974498 0.8239092 0.1558652 0.4496944 0.4167921 0.6420486 0.2317409 0.1911572 -0.7505388 0.9639532 0.4206425 0.3218816 -0.3342026 0.8477393 -0.0007789628 0.5503409 0.2575793 -0.3869237 -0.287675 -0.4404613 -0.5024432 -0.1262758## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 19.3990627 2.9128079 6.660 2.74e-11 ***
## loneliness_state_pmc 3.3350480 2.9416985 1.134 0.256914
## socintsatisfaction_state_pmc -1.1342727 NaN NaN NaN
## responsiveness_state_pmc -2.8041351 NaN NaN NaN
## depressedmood_state 0.1686536 0.1423428 1.185 0.236080
## loneliness_state_pmc -0.4468822 0.1061425 -4.210 2.55e-05 ***
## socintsatisfaction_state_pmc 0.1910019 0.1446952 1.320 0.186825
## responsiveness_state_pmc -0.8554242 0.1816521 -4.709 2.49e-06 ***
## depressedmood_state -0.2538409 0.1097781 -2.312 0.020761 *
## loneliness_state_pmc -0.2533463 0.1141525 -2.219 0.026462 *
## socintsatisfaction_state_pmc 0.0005545 NaN NaN NaN
## responsiveness_state_pmc -0.8853353 NaN NaN NaN
## depressedmood_state -0.0465232 NaN NaN NaN
## loneliness_state_pmc -0.0979527 NaN NaN NaN
## socintsatisfaction_state_pmc 0.0897450 0.0628157 1.429 0.153090
## responsiveness_state_pmc 0.8239092 NaN NaN NaN
## depressedmood_state 0.1558652 NaN NaN NaN
## loneliness_state_pmc 0.4496944 NaN NaN NaN
## socintsatisfaction_state_pmc 0.4167921 0.0593046 7.028 2.10e-12 ***
## responsiveness_state_pmc 0.6420486 NaN NaN NaN
## 0.2317409 0.1257073 1.843 0.065257 .
## 0.1911572 NaN NaN NaN
## -0.7505388 0.1309657 -5.731 1.00e-08 ***
## 0.9639532 0.1729783 5.573 2.51e-08 ***
## 0.4206425 0.1226295 3.430 0.000603 ***
## 0.3218816 0.0962523 3.344 0.000825 ***
## -0.3342026 0.0629115 -5.312 1.08e-07 ***
## 0.8477393 0.0410885 20.632 < 2e-16 ***
## -0.0007790 NaN NaN NaN
## 0.5503409 NaN NaN NaN
## 0.2575793 NaN NaN NaN
## -0.3869237 0.0904825 -4.276 1.90e-05 ***
## -0.2876750 NaN NaN NaN
## -0.4404613 NaN NaN NaN
## -0.5024432 NaN NaN NaN
## -0.1262758 0.1157164 -1.091 0.275162
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 19.39906 3.335048 -1.134273 -2.804135
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1687 -0.447 0.191002 -0.855
## [2,] -0.2538 -0.253 0.000555 -0.885
## [3,] -0.0465 -0.098 0.089745 0.824
## [4,] 0.1559 0.450 0.416792 0.642
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.231741 -0.191 0.751 -0.964
## [2,] -0.420643 -0.322 0.334 -0.848
## [3,] 0.000779 -0.550 -0.258 0.387
## [4,] 0.287675 0.440 0.502 0.126
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 163.75284 71.49063 -53.15812 -16.32080
## [2,] 71.49063 163.13277 -13.07020 -5.95457
## [3,] -53.15812 -13.07020 160.50135 78.69831
## [4,] -16.32080 -5.95457 78.69831 146.44755
## ----
## aic= 20.64188
## bic= 21.79825
## Number of parameters: 36
## initial estimates: 26.5603 -6.536 3.8444 1.3249 0.6725 -0.3743 -0.0413 -0.1095 0.0881 -0.1497 -0.0189 -0.2197 -0.0706 0.0958 0.8435 0.073 -0.0198 0.0818 0.0631 0.8506 -0.5637 0.4921 -0.2434 0.4704 1.325 -0.8888 -0.2382 0.7305 0.411 -0.0294 1.2631 -1.3607 0.2348 -0.0045 0.6806 -0.7007
## Par. lower-bounds: 4.0133 -30.8196 -13.9688 -10.9634 0.3852 -0.6777 -0.3102 -0.479 -0.2213 -0.4765 -0.3085 -0.6175 -0.2975 -0.1439 0.6311 -0.2188 -0.1764 -0.0836 -0.0834 0.6493 -1.6197 -0.2142 -1.4434 -1.5522 0.1877 -1.6495 -1.5306 -1.448 -0.4233 -0.5874 0.315 -2.9587 -0.3407 -0.3894 0.0266 -1.803
## Par. upper-bounds: 49.1073 17.7477 21.6576 13.6131 0.9598 -0.0709 0.2276 0.2599 0.3975 0.1771 0.2707 0.1782 0.1564 0.3355 1.056 0.3649 0.1367 0.2472 0.2097 1.0519 0.4923 1.1984 0.9566 2.4931 2.4623 -0.1281 1.0542 2.9089 1.2452 0.5286 2.2111 0.2373 0.8103 0.3805 1.3346 0.4017
## Final Estimates: 26.5603 -6.53595 3.844421 1.324895 0.6725013 -0.3742817 -0.04132224 -0.1095438 0.08808829 -0.1496858 -0.01889998 -0.2196669 -0.07057167 0.09580594 0.8435355 0.07304174 -0.01982997 0.08179858 0.06311459 0.8505956 -0.5636937 0.4920712 -0.2433712 0.4704492 1.32496 -0.888777 -0.2382164 0.7304678 0.4109568 -0.02943198 1.263087 -1.360718 0.234767 -0.004452154 0.6806255 -0.7006684
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 26.560304 NaN NaN NaN
## loneliness_state_pmc -6.535950 NaN NaN NaN
## socintsatisfaction_state_pmc 3.844421 NaN NaN NaN
## responsiveness_state_pmc 1.324895 NaN NaN NaN
## depressedmood_state 0.672501 NaN NaN NaN
## loneliness_state_pmc -0.374282 NaN NaN NaN
## socintsatisfaction_state_pmc -0.041322 NaN NaN NaN
## responsiveness_state_pmc -0.109544 NaN NaN NaN
## depressedmood_state 0.088088 NaN NaN NaN
## loneliness_state_pmc -0.149686 NaN NaN NaN
## socintsatisfaction_state_pmc -0.018900 NaN NaN NaN
## responsiveness_state_pmc -0.219667 NaN NaN NaN
## depressedmood_state -0.070572 NaN NaN NaN
## loneliness_state_pmc 0.095806 NaN NaN NaN
## socintsatisfaction_state_pmc 0.843535 NaN NaN NaN
## responsiveness_state_pmc 0.073042 NaN NaN NaN
## depressedmood_state -0.019830 NaN NaN NaN
## loneliness_state_pmc 0.081799 NaN NaN NaN
## socintsatisfaction_state_pmc 0.063115 NaN NaN NaN
## responsiveness_state_pmc 0.850596 NaN NaN NaN
## -0.563694 NaN NaN NaN
## 0.492071 NaN NaN NaN
## -0.243371 NaN NaN NaN
## 0.470449 NaN NaN NaN
## 1.324960 NaN NaN NaN
## -0.888777 NaN NaN NaN
## -0.238216 NaN NaN NaN
## 0.730468 NaN NaN NaN
## 0.410957 NaN NaN NaN
## -0.029432 NaN NaN NaN
## 1.263087 NaN NaN NaN
## -1.360718 NaN NaN NaN
## 0.234767 NaN NaN NaN
## -0.004452 NaN NaN NaN
## 0.680625 NaN NaN NaN
## -0.700668 NaN NaN NaN
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 26.5603 -6.53595 3.844421 1.324895
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.6725 -0.3743 -0.0413 -0.110
## [2,] 0.0881 -0.1497 -0.0189 -0.220
## [3,] -0.0706 0.0958 0.8435 0.073
## [4,] -0.0198 0.0818 0.0631 0.851
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.564 -0.49207 0.243 -0.470
## [2,] -1.325 0.88878 0.238 -0.730
## [3,] -0.411 0.02943 -1.263 1.361
## [4,] -0.235 0.00445 -0.681 0.701
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 8.299516e+25 -1.650803e+26 -1.835955e+25 -9.194096e+24
## [2,] -1.650803e+26 3.283503e+26 3.651778e+25 1.828738e+25
## [3,] -1.835955e+25 3.651778e+25 4.061359e+24 2.033847e+24
## [4,] -9.194096e+24 1.828738e+25 2.033847e+24 1.018510e+24## Warning in log(dd): NaNs produced## ----
## aic= NaN
## bic= NaN
## Number of parameters: 36
## initial estimates: 30.815 5.9296 -22.3387 -15.3124 -0.1656 0.3014 -0.2767 0.0816 -0.2702 0.4486 -0.3143 0.0226 0.8034 -0.4564 0.3226 0.3811 0.6045 -0.3222 -0.138 0.7599 0.5257 -0.3637 0.6748 -0.5958 0.2812 -0.2463 1.0018 -0.4523 -1.4424 0.8903 0.0726 -0.3895 -1.0001 0.5424 0.6385 -0.9481
## Par. lower-bounds: 16.6027 -14.4972 -42.6676 -30.1335 -0.6672 -0.0897 -0.6447 -0.3647 -0.9912 -0.1135 -0.8432 -0.6188 0.0858 -1.0159 -0.2037 -0.2573 0.0813 -0.73 -0.5217 0.2946 -0.3699 -1.0435 -0.0918 -1.5114 -1.006 -1.2234 -0.0999 -1.7682 -2.7234 -0.0821 -1.0239 -1.6991 -1.9341 -0.1665 -0.1608 -1.9029
## Par. upper-bounds: 45.0274 26.3564 -2.0097 -0.4914 0.3361 0.6925 0.0913 0.5278 0.4509 1.0108 0.2146 0.664 1.521 0.1031 0.849 1.0194 1.1277 0.0857 0.2457 1.2253 1.4213 0.3161 1.4414 0.3197 1.5683 0.7307 2.1036 0.8635 -0.1614 1.8627 1.169 0.9201 -0.0662 1.2513 1.4379 0.0066
## Final Estimates: 30.85211 5.907924 -22.36985 -15.27522 -0.216627 0.3556366 -0.3233165 0.4833506 -0.279042 0.7397955 -0.1523623 0.4138589 0.8784755 -0.1622799 0.477509 0.2447353 0.5593832 -0.5508228 -0.3678086 0.8071731 0.728827 -0.503937 0.08908539 -0.5866073 0.4716122 -0.7474105 0.1257384 -0.8428902 -0.8772831 0.005641546 -0.145038 -0.08994525 -0.7815371 0.7643779 0.8000441 -0.7288241## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 30.852111 7.110116 4.339 1.43e-05 ***
## loneliness_state_pmc 5.907924 2.648888 2.230 0.025725 *
## socintsatisfaction_state_pmc -22.369850 3.613854 -6.190 6.02e-10 ***
## responsiveness_state_pmc -15.275225 2.980207 -5.126 2.97e-07 ***
## depressedmood_state -0.216627 0.244407 -0.886 0.375436
## loneliness_state_pmc 0.355637 0.201950 1.761 0.078236 .
## socintsatisfaction_state_pmc -0.323316 0.230245 -1.404 0.160251
## responsiveness_state_pmc 0.483351 0.223847 2.159 0.030828 *
## depressedmood_state -0.279042 NaN NaN NaN
## loneliness_state_pmc 0.739795 0.175166 4.223 2.41e-05 ***
## socintsatisfaction_state_pmc -0.152362 0.229816 -0.663 0.507346
## responsiveness_state_pmc 0.413859 0.291446 1.420 0.155603
## depressedmood_state 0.878475 0.061780 14.220 < 2e-16 ***
## loneliness_state_pmc -0.162280 0.205685 -0.789 0.430128
## socintsatisfaction_state_pmc 0.477509 0.327436 1.458 0.144750
## responsiveness_state_pmc 0.244735 0.351621 0.696 0.486417
## depressedmood_state 0.559383 0.079889 7.002 2.52e-12 ***
## loneliness_state_pmc -0.550823 0.155167 -3.550 0.000385 ***
## socintsatisfaction_state_pmc -0.367809 0.244544 -1.504 0.132567
## responsiveness_state_pmc 0.807173 0.266627 3.027 0.002467 **
## 0.728827 0.233962 3.115 0.001838 **
## -0.503937 0.222319 -2.267 0.023407 *
## 0.089085 0.118473 0.752 0.452081
## -0.586607 NaN NaN NaN
## 0.471612 NaN NaN NaN
## -0.747410 0.180650 -4.137 3.51e-05 ***
## 0.125738 0.110772 1.135 0.256329
## -0.842890 0.223457 -3.772 0.000162 ***
## -0.877283 0.184174 -4.763 1.90e-06 ***
## 0.005642 0.100900 0.056 0.955412
## -0.145038 0.144002 -1.007 0.313842
## -0.089945 0.158651 -0.567 0.570756
## -0.781537 0.168365 -4.642 3.45e-06 ***
## 0.764378 0.088381 8.649 < 2e-16 ***
## 0.800044 0.157802 5.070 3.98e-07 ***
## -0.728824 0.167454 -4.352 1.35e-05 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 30.85211 5.907924 -22.36985 -15.27522
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.217 0.356 -0.323 0.483
## [2,] -0.279 0.740 -0.152 0.414
## [3,] 0.878 -0.162 0.478 0.245
## [4,] 0.559 -0.551 -0.368 0.807
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.729 0.50394 -0.0891 0.5866
## [2,] -0.472 0.74741 -0.1257 0.8429
## [3,] 0.877 -0.00564 0.1450 0.0899
## [4,] 0.782 -0.76438 -0.8000 0.7288
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 196.6098 230.1153 -177.9133 -126.1575
## [2,] 230.1153 413.4694 -308.0184 -204.4297
## [3,] -177.9133 -308.0184 414.7742 256.0210
## [4,] -126.1575 -204.4297 256.0210 235.3875
## ----
## aic= 20.8185
## bic= 21.97487
## Number of parameters: 36
## initial estimates: 21.4095 8.9326 -9.9302 -3.9505 -0.1369 0.1166 0.0464 -0.0199 -0.4411 0.0703 -0.0099 -0.1286 0.5875 -0.0341 0.2942 0.0124 0.1908 0.0751 0.136 0.5389 0.5426 -0.3956 0.0085 0.6656 1.0424 -0.1893 -0.1268 0.6367 -0.6608 -0.1861 0.0497 -0.2165 -0.9693 -0.0188 -0.1331 -0.5747
## Par. lower-bounds: 15.2646 -0.9997 -23.8833 -16.1449 -0.4567 -0.0927 -0.0863 -0.1438 -0.958 -0.268 -0.2245 -0.3289 -0.1387 -0.5092 -0.0072 -0.2689 -0.4438 -0.3401 -0.1275 0.293 -0.3605 -1.1452 -0.3454 0.251 -0.4172 -1.401 -0.6989 -0.0333 -2.7113 -1.8882 -0.754 -1.1578 -2.7614 -1.5064 -0.8356 -1.3974
## Par. upper-bounds: 27.5543 18.8648 4.0228 8.244 0.1829 0.3258 0.1792 0.104 0.0758 0.4085 0.2046 0.0717 1.3137 0.441 0.5956 0.2938 0.8255 0.4904 0.3994 0.7848 1.4456 0.354 0.3625 1.0801 2.5021 1.0223 0.4453 1.3067 1.3898 1.5161 0.8534 0.7248 0.8228 1.4688 0.5693 0.2479
## Final Estimates: 21.33483 8.93145 -9.957672 -4.077883 -0.1720389 0.3258164 0.1791607 -0.1437992 -0.5119374 -0.2650349 0.2046238 -0.1426307 0.5368193 0.05109501 0.5956283 0.2221908 0.2734644 0.3897592 0.3993913 0.5993447 0.3106451 -0.4700419 -0.1642071 0.2510397 0.6372104 0.03965518 -0.3274732 -0.03334 -0.1874587 -0.5268149 -0.577712 -0.446183 -0.7467155 -0.228888 -0.4383774 -0.139252## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 21.33483 6.31384 3.379 0.000727 ***
## loneliness_state_pmc 8.93145 5.51358 1.620 0.105254
## socintsatisfaction_state_pmc -9.95767 5.15799 -1.931 0.053541 .
## responsiveness_state_pmc -4.07788 NaN NaN NaN
## depressedmood_state -0.17204 0.30835 -0.558 0.576890
## loneliness_state_pmc 0.32582 0.27321 1.193 0.233046
## socintsatisfaction_state_pmc 0.17916 0.15030 1.192 0.233252
## responsiveness_state_pmc -0.14380 0.04710 -3.053 0.002267 **
## depressedmood_state -0.51194 0.29814 -1.717 0.085965 .
## loneliness_state_pmc -0.26503 0.46545 -0.569 0.569072
## socintsatisfaction_state_pmc 0.20462 0.12884 1.588 0.112242
## responsiveness_state_pmc -0.14263 0.32027 -0.445 0.656069
## depressedmood_state 0.53682 0.21941 2.447 0.014419 *
## loneliness_state_pmc 0.05110 0.25751 0.198 0.842720
## socintsatisfaction_state_pmc 0.59563 0.09460 6.296 3.05e-10 ***
## responsiveness_state_pmc 0.22219 0.16013 1.388 0.165260
## depressedmood_state 0.27346 NaN NaN NaN
## loneliness_state_pmc 0.38976 0.47815 0.815 0.414991
## socintsatisfaction_state_pmc 0.39939 0.10022 3.985 6.74e-05 ***
## responsiveness_state_pmc 0.59934 0.14151 4.235 2.28e-05 ***
## 0.31065 0.28627 1.085 0.277850
## -0.47004 0.26407 -1.780 0.075082 .
## -0.16421 0.19933 -0.824 0.410067
## 0.25104 NaN NaN NaN
## 0.63721 0.35780 1.781 0.074926 .
## 0.03966 0.42390 0.094 0.925467
## -0.32747 0.11711 -2.796 0.005167 **
## -0.03334 0.19338 -0.172 0.863115
## -0.18746 NaN NaN NaN
## -0.52681 0.28225 -1.866 0.061977 .
## -0.57771 0.10188 -5.671 1.42e-08 ***
## -0.44618 0.13296 -3.356 0.000792 ***
## -0.74672 NaN NaN NaN
## -0.22889 0.51188 -0.447 0.654765
## -0.43838 0.02686 -16.323 < 2e-16 ***
## -0.13925 0.06435 -2.164 0.030453 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 21.33483 8.93145 -9.957672 -4.077883
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.172 0.3258 0.179 -0.144
## [2,] -0.512 -0.2650 0.205 -0.143
## [3,] 0.537 0.0511 0.596 0.222
## [4,] 0.273 0.3898 0.399 0.599
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.311 0.4700 0.164 -0.2510
## [2,] -0.637 -0.0397 0.327 0.0333
## [3,] 0.187 0.5268 0.578 0.4462
## [4,] 0.747 0.2289 0.438 0.1393
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 55.129595 41.13700 -8.406145 2.416483
## [2,] 41.137000 101.00571 -42.455603 -30.152226
## [3,] -8.406145 -42.45560 197.326640 13.766724
## [4,] 2.416483 -30.15223 13.766724 118.579661
## ----
## aic= 19.11334
## bic= 20.2697
## Number of parameters: 36
## initial estimates: 66.4103 -2.5276 11.2874 -9.4712 0.2184 -0.0613 -0.0616 -0.0953 0.0366 0.0075 0.038 -0.0223 -0.1195 0.0068 0.4346 0.2902 0.1041 -0.0349 0.0526 0.5237 0.1676 -0.072 -0.0936 0.2496 0.0391 0.3623 -0.29 0.8652 0.0688 -0.3638 0.1363 -0.9076 -0.0268 0.1192 -0.0117 -0.2098
## Par. lower-bounds: 36.1144 -34.8725 -42.9981 -35.6912 -0.1409 -0.4005 -0.2391 -0.4446 -0.347 -0.3546 -0.1515 -0.3953 -0.7634 -0.6009 0.1165 -0.3358 -0.2069 -0.3284 -0.101 0.2214 -0.9078 -0.8975 -0.4596 -0.6504 -1.109 -0.519 -0.6808 -0.0956 -1.8581 -1.843 -0.5196 -2.5202 -0.9576 -0.5953 -0.3285 -0.9887
## Par. upper-bounds: 96.7063 29.8172 65.573 16.7489 0.5778 0.2778 0.1159 0.2541 0.4202 0.3696 0.2276 0.3507 0.5243 0.6145 0.7526 0.9161 0.4151 0.2586 0.2062 0.8261 1.2431 0.7535 0.2725 1.1496 1.1873 1.2436 0.1008 1.8261 1.9958 1.1154 0.7922 0.705 0.9039 0.8336 0.3051 0.5691
## Final Estimates: 66.4068 -2.503915 11.27324 -9.474101 0.2184675 -0.4004869 -0.06908341 0.1066796 0.02725542 0.1459407 0.2275659 -0.3292574 -0.1307035 0.5255515 0.4805843 0.5277341 0.1071128 -0.3284002 0.01136029 0.6093826 0.01556334 0.2583526 -0.05165885 -0.1920825 -0.05478745 0.01064665 -0.3623794 0.5180506 -0.06200186 -0.3911781 0.1696953 -0.7276359 -0.2064606 0.5124055 0.08573731 -0.3098459## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 66.40680 18.22665 3.643 0.000269 ***
## loneliness_state_pmc -2.50391 NaN NaN NaN
## socintsatisfaction_state_pmc 11.27324 NaN NaN NaN
## responsiveness_state_pmc -9.47410 NaN NaN NaN
## depressedmood_state 0.21847 0.21631 1.010 0.312504
## loneliness_state_pmc -0.40049 0.32772 -1.222 0.221695
## socintsatisfaction_state_pmc -0.06908 0.13723 -0.503 0.614666
## responsiveness_state_pmc 0.10668 NaN NaN NaN
## depressedmood_state 0.02726 NaN NaN NaN
## loneliness_state_pmc 0.14594 NaN NaN NaN
## socintsatisfaction_state_pmc 0.22757 NaN NaN NaN
## responsiveness_state_pmc -0.32926 NaN NaN NaN
## depressedmood_state -0.13070 NaN NaN NaN
## loneliness_state_pmc 0.52555 NaN NaN NaN
## socintsatisfaction_state_pmc 0.48058 0.19867 2.419 0.015564 *
## responsiveness_state_pmc 0.52773 0.63908 0.826 0.408934
## depressedmood_state 0.10711 NaN NaN NaN
## loneliness_state_pmc -0.32840 NaN NaN NaN
## socintsatisfaction_state_pmc 0.01136 NaN NaN NaN
## responsiveness_state_pmc 0.60938 NaN NaN NaN
## 0.01556 0.28718 0.054 0.956781
## 0.25835 0.30031 0.860 0.389624
## -0.05166 0.15258 -0.339 0.734939
## -0.19208 NaN NaN NaN
## -0.05479 NaN NaN NaN
## 0.01065 NaN NaN NaN
## -0.36238 0.11189 -3.239 0.001201 **
## 0.51805 NaN NaN NaN
## -0.06200 NaN NaN NaN
## -0.39118 NaN NaN NaN
## 0.16970 0.14580 1.164 0.244453
## -0.72764 0.68078 -1.069 0.285149
## -0.20646 NaN NaN NaN
## 0.51241 NaN NaN NaN
## 0.08574 NaN NaN NaN
## -0.30985 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 66.4068 -2.503915 11.27324 -9.474101
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.2185 -0.400 -0.0691 0.107
## [2,] 0.0273 0.146 0.2276 -0.329
## [3,] -0.1307 0.526 0.4806 0.528
## [4,] 0.1071 -0.328 0.0114 0.609
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.0156 -0.2584 0.0517 0.192
## [2,] 0.0548 -0.0106 0.3624 -0.518
## [3,] 0.0620 0.3912 -0.1697 0.728
## [4,] 0.2065 -0.5124 -0.0857 0.310
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 69.51939 54.00692 -18.24357 -19.51456
## [2,] 54.00692 101.81205 -2.74937 -11.18830
## [3,] -18.24357 -2.74937 231.49607 60.20881
## [4,] -19.51456 -11.18830 60.20881 50.61402
## ----
## aic= 18.23327
## bic= 19.38964
## Number of parameters: 36
## initial estimates: 11.2648 -5.2507 -4.3863 3.0566 0.7298 -0.4226 0.0074 -0.3687 0.1879 -0.0756 -0.0858 -0.2467 0.0794 0.2562 0.7615 0.0373 -0.0897 0.2368 0.1745 0.5816 -0.2164 0.3434 -0.5146 0.4438 0.0514 -1.256 -0.2189 -0.118 0.3533 -0.8351 0.2744 0.0864 0.2196 -0.0709 -0.0164 0.1806
## Par. lower-bounds: 1.4107 -14.3314 -14.0788 -4.7483 0.4791 -0.7558 -0.2366 -0.7335 -0.0431 -0.3827 -0.3105 -0.5829 -0.1673 -0.0716 0.5216 -0.3215 -0.2883 -0.0272 -0.0187 0.2926 -0.9358 -0.7354 -1.4796 -0.5362 -0.6115 -2.2501 -1.1082 -1.021 -0.3542 -1.8962 -0.6749 -0.8775 -0.3501 -0.9253 -0.7808 -0.5956
## Par. upper-bounds: 21.1188 3.83 5.3061 10.8614 0.9805 -0.0893 0.2513 -0.0039 0.419 0.2315 0.139 0.0895 0.326 0.584 1.0014 0.3962 0.1089 0.5007 0.3677 0.8706 0.5029 1.4221 0.4505 1.4238 0.7143 -0.262 0.6705 0.7851 1.0609 0.2259 1.2236 1.0503 0.7894 0.7835 0.748 0.9568
## Final Estimates: 11.26476 -5.250702 -4.386347 3.056557 0.7297995 -0.4225505 0.00736776 -0.3687148 0.18792 -0.07559042 -0.08575407 -0.2466654 0.07937716 0.2561965 0.7615064 0.03732385 -0.08971426 0.2367776 0.1744991 0.5815947 -0.2164286 0.3433547 -0.5145533 0.4438088 0.05137999 -1.256045 -0.2188579 -0.1179569 0.3533258 -0.8351364 0.2743686 0.08639009 0.219612 -0.07092383 -0.01637332 0.1805889
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 11.264762 NaN NaN NaN
## loneliness_state_pmc -5.250702 NaN NaN NaN
## socintsatisfaction_state_pmc -4.386347 NaN NaN NaN
## responsiveness_state_pmc 3.056557 NaN NaN NaN
## depressedmood_state 0.729799 NaN NaN NaN
## loneliness_state_pmc -0.422551 NaN NaN NaN
## socintsatisfaction_state_pmc 0.007368 NaN NaN NaN
## responsiveness_state_pmc -0.368715 NaN NaN NaN
## depressedmood_state 0.187920 NaN NaN NaN
## loneliness_state_pmc -0.075590 NaN NaN NaN
## socintsatisfaction_state_pmc -0.085754 NaN NaN NaN
## responsiveness_state_pmc -0.246665 NaN NaN NaN
## depressedmood_state 0.079377 NaN NaN NaN
## loneliness_state_pmc 0.256197 NaN NaN NaN
## socintsatisfaction_state_pmc 0.761506 NaN NaN NaN
## responsiveness_state_pmc 0.037324 NaN NaN NaN
## depressedmood_state -0.089714 NaN NaN NaN
## loneliness_state_pmc 0.236778 NaN NaN NaN
## socintsatisfaction_state_pmc 0.174499 NaN NaN NaN
## responsiveness_state_pmc 0.581595 NaN NaN NaN
## -0.216429 NaN NaN NaN
## 0.343355 NaN NaN NaN
## -0.514553 NaN NaN NaN
## 0.443809 NaN NaN NaN
## 0.051380 NaN NaN NaN
## -1.256045 NaN NaN NaN
## -0.218858 NaN NaN NaN
## -0.117957 NaN NaN NaN
## 0.353326 NaN NaN NaN
## -0.835136 NaN NaN NaN
## 0.274369 NaN NaN NaN
## 0.086390 NaN NaN NaN
## 0.219612 NaN NaN NaN
## -0.070924 NaN NaN NaN
## -0.016373 NaN NaN NaN
## 0.180589 NaN NaN NaN
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 11.26476 -5.250702 -4.386347 3.056557
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.7298 -0.4226 0.00737 -0.3687
## [2,] 0.1879 -0.0756 -0.08575 -0.2467
## [3,] 0.0794 0.2562 0.76151 0.0373
## [4,] -0.0897 0.2368 0.17450 0.5816
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.2164 -0.3434 0.5146 -0.4438
## [2,] -0.0514 1.2560 0.2189 0.1180
## [3,] -0.3533 0.8351 -0.2744 -0.0864
## [4,] -0.2196 0.0709 0.0164 -0.1806
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.836349e+18 -2.059076e+19 -1.070612e+19 -1.304942e+18
## [2,] -2.059076e+19 2.308816e+20 1.200464e+20 1.463216e+19
## [3,] -1.070612e+19 1.200464e+20 6.241788e+19 7.607958e+18
## [4,] -1.304942e+18 1.463216e+19 7.607958e+18 9.273149e+17## Warning in log(dd): NaNs produced## ----
## aic= NaN
## bic= NaN
## Number of parameters: 36
## initial estimates: 48.2475 9.0091 -20.7617 -70.3745 -0.3047 1.4382 1.1588 -1.8227 -0.2462 2.2408 0.1516 1.0832 0.5061 -1.6943 -5.3339 8.3991 1.8822 -6.6913 -5.9965 6.1644 0.5637 -1.591 -0.9973 1.4707 0.1838 -2.1697 -0.0543 -1.3682 -0.1769 1.4113 5.3339 -8.0873 -1.6049 6.5179 6.1039 -5.9247
## Par. lower-bounds: -91.3952 -110.2404 -129.0273 -152.5068 -3.9626 -10.215 -16.6995 -24.9991 -3.3699 -7.7105 -15.0987 -18.7086 -2.3298 -10.729 -19.1795 -9.5697 -0.2692 -13.5453 -16.5001 -7.4671 -3.1146 -13.2515 -18.8621 -21.7105 -2.9573 -12.1273 -15.3101 -21.1641 -3.0287 -7.6291 -8.5168 -26.0598 -3.7684 -0.3404 -4.4035 -19.559
## Par. upper-bounds: 187.8902 128.2587 87.5038 11.7578 3.3531 13.0914 19.0171 21.3537 2.8774 12.1922 15.4019 20.875 3.342 7.3405 8.5117 26.3678 4.0336 0.1626 4.507 19.7958 4.242 10.0696 16.8675 24.6519 3.3249 7.788 15.2016 18.4277 2.6749 10.4518 19.1845 9.8852 0.5585 13.3762 16.6112 7.7096
## Final Estimates: 48.24748 9.00915 -20.76173 -70.3745 -0.3047295 1.438201 1.158823 -1.822707 -0.2462297 2.24083 0.1516424 1.083173 0.5061115 -1.694261 -5.333914 8.39906 1.882208 -6.691316 -5.996548 6.164374 0.563667 -1.590986 -0.9973344 1.470657 0.1838066 -2.169668 -0.05428412 -1.368191 -0.1769319 1.411337 5.333864 -8.087326 -1.604922 6.517915 6.103866 -5.924708
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 48.24748 NaN NaN NaN
## loneliness_state_pmc 9.00915 NaN NaN NaN
## socintsatisfaction_state_pmc -20.76173 NaN NaN NaN
## responsiveness_state_pmc -70.37450 NaN NaN NaN
## depressedmood_state -0.30473 NaN NaN NaN
## loneliness_state_pmc 1.43820 NaN NaN NaN
## socintsatisfaction_state_pmc 1.15882 NaN NaN NaN
## responsiveness_state_pmc -1.82271 NaN NaN NaN
## depressedmood_state -0.24623 NaN NaN NaN
## loneliness_state_pmc 2.24083 NaN NaN NaN
## socintsatisfaction_state_pmc 0.15164 NaN NaN NaN
## responsiveness_state_pmc 1.08317 NaN NaN NaN
## depressedmood_state 0.50611 NaN NaN NaN
## loneliness_state_pmc -1.69426 NaN NaN NaN
## socintsatisfaction_state_pmc -5.33391 NaN NaN NaN
## responsiveness_state_pmc 8.39906 NaN NaN NaN
## depressedmood_state 1.88221 NaN NaN NaN
## loneliness_state_pmc -6.69132 NaN NaN NaN
## socintsatisfaction_state_pmc -5.99655 NaN NaN NaN
## responsiveness_state_pmc 6.16437 NaN NaN NaN
## 0.56367 NaN NaN NaN
## -1.59099 NaN NaN NaN
## -0.99733 NaN NaN NaN
## 1.47066 NaN NaN NaN
## 0.18381 NaN NaN NaN
## -2.16967 NaN NaN NaN
## -0.05428 NaN NaN NaN
## -1.36819 NaN NaN NaN
## -0.17693 NaN NaN NaN
## 1.41134 NaN NaN NaN
## 5.33386 NaN NaN NaN
## -8.08733 NaN NaN NaN
## -1.60492 NaN NaN NaN
## 6.51791 NaN NaN NaN
## 6.10387 NaN NaN NaN
## -5.92471 NaN NaN NaN
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 48.24748 9.00915 -20.76173 -70.3745
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.305 1.44 1.159 -1.82
## [2,] -0.246 2.24 0.152 1.08
## [3,] 0.506 -1.69 -5.334 8.40
## [4,] 1.882 -6.69 -5.997 6.16
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.564 1.59 0.9973 -1.47
## [2,] -0.184 2.17 0.0543 1.37
## [3,] 0.177 -1.41 -5.3339 8.09
## [4,] 1.605 -6.52 -6.1039 5.92
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.149681e+102 -2.036370e+102 -6.622822e+102 -2.423229e+102
## [2,] -2.036370e+102 4.081885e+102 1.221794e+103 3.678619e+102
## [3,] -6.622822e+102 1.221794e+103 3.865118e+103 1.332977e+103
## [4,] -2.423229e+102 3.678619e+102 1.332977e+103 5.900026e+102## Warning in log(dd): NaNs produced## ----
## aic= NaN
## bic= NaN
## Number of parameters: 36
## initial estimates: 31.0111 12.7177 -18.5757 -15.4929 -0.1396 0.2554 0.0854 -0.0936 -0.4036 -0.0097 0.0792 -0.1099 0.6096 0.1444 0.1704 0.2229 0.5177 -0.0602 0.0738 0.0868 0.5103 -0.7273 0.1176 -0.1588 1.0576 -0.9613 0.0896 -0.0078 -0.988 0.5063 -0.0049 -0.5766 -1.0492 0.3462 -0.151 -0.588
## Par. lower-bounds: 20.2725 3.3567 -36.1706 -29.8352 -0.516 -0.1378 -0.1215 -0.3443 -0.7318 -0.3524 -0.1012 -0.3285 -0.0072 -0.4998 -0.1686 -0.1879 0.0149 -0.5853 -0.2025 -0.248 -0.2064 -1.8845 -0.242 -0.9021 0.4328 -1.9701 -0.2239 -0.6558 -2.1624 -1.3897 -0.5942 -1.7945 -2.0065 -1.1993 -0.6313 -1.5808
## Par. upper-bounds: 41.7497 22.0787 -0.9807 -1.1505 0.2369 0.6485 0.2923 0.1571 -0.0754 0.333 0.2595 0.1086 1.2264 0.7886 0.5093 0.6336 1.0205 0.465 0.3501 0.4217 1.2271 0.43 0.4773 0.5846 1.6824 0.0474 0.4031 0.6401 0.1863 2.4024 0.5843 0.6413 -0.092 1.8918 0.3294 0.4048
## Final Estimates: 31.17222 12.64753 -18.60945 -15.4785 -0.2097776 0.3091913 -0.1215087 0.1149862 -0.4983119 -0.096684 0.2595343 -0.3110065 0.7617762 -0.003383177 0.1123804 -0.1878627 0.6375401 -0.5849296 0.3501144 0.1045688 0.2758704 0.02823892 0.4465039 -0.1877541 0.6256166 0.04744983 -0.1709144 0.3397089 -1.102578 0.8725521 0.05341174 0.6413452 -0.6079826 0.3127427 -0.5643698 -0.07230814## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 31.172224 10.978760 2.839 0.004521 **
## loneliness_state_pmc 12.647529 NaN NaN NaN
## socintsatisfaction_state_pmc -18.609448 4.539262 -4.100 4.14e-05 ***
## responsiveness_state_pmc -15.478498 12.187026 -1.270 0.204056
## depressedmood_state -0.209778 0.388802 -0.540 0.589509
## loneliness_state_pmc 0.309191 0.190271 1.625 0.104162
## socintsatisfaction_state_pmc -0.121509 0.051014 -2.382 0.017226 *
## responsiveness_state_pmc 0.114986 0.254815 0.451 0.651807
## depressedmood_state -0.498312 NaN NaN NaN
## loneliness_state_pmc -0.096684 0.155064 -0.624 0.532949
## socintsatisfaction_state_pmc 0.259534 0.109677 2.366 0.017965 *
## responsiveness_state_pmc -0.311007 0.091571 -3.396 0.000683 ***
## depressedmood_state 0.761776 0.099616 7.647 2.07e-14 ***
## loneliness_state_pmc -0.003383 0.193347 -0.017 0.986039
## socintsatisfaction_state_pmc 0.112380 0.137621 0.817 0.414162
## responsiveness_state_pmc -0.187863 0.087272 -2.153 0.031350 *
## depressedmood_state 0.637540 0.480535 1.327 0.184598
## loneliness_state_pmc -0.584930 0.274970 -2.127 0.033400 *
## socintsatisfaction_state_pmc 0.350114 0.181187 1.932 0.053318 .
## responsiveness_state_pmc 0.104569 0.436015 0.240 0.810463
## 0.275870 0.512116 0.539 0.590103
## 0.028239 NaN NaN NaN
## 0.446504 0.109000 4.096 4.20e-05 ***
## -0.187754 0.234965 -0.799 0.424248
## 0.625617 0.189107 3.308 0.000939 ***
## 0.047450 NaN NaN NaN
## -0.170914 0.106474 -1.605 0.108444
## 0.339709 NaN NaN NaN
## -1.102578 0.146198 -7.542 4.64e-14 ***
## 0.872552 0.093795 9.303 < 2e-16 ***
## 0.053412 0.134118 0.398 0.690451
## 0.641345 0.081742 7.846 4.22e-15 ***
## -0.607983 0.632576 -0.961 0.336491
## 0.312743 0.157390 1.987 0.046917 *
## -0.564370 0.231275 -2.440 0.014677 *
## -0.072308 0.438050 -0.165 0.868890
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 31.17222 12.64753 -18.60945 -15.4785
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.210 0.30919 -0.122 0.115
## [2,] -0.498 -0.09668 0.260 -0.311
## [3,] 0.762 -0.00338 0.112 -0.188
## [4,] 0.638 -0.58493 0.350 0.105
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.276 -0.0282 -0.4465 0.1878
## [2,] -0.626 -0.0474 0.1709 -0.3397
## [3,] 1.103 -0.8726 -0.0534 -0.6413
## [4,] 0.608 -0.3127 0.5644 0.0723
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 190.13754 101.5260 -68.04488 -100.0892
## [2,] 101.52598 151.6311 -141.73571 -139.7823
## [3,] -68.04488 -141.7357 426.72611 199.7609
## [4,] -100.08924 -139.7823 199.76087 285.4616
## ----
## aic= 21.45399
## bic= 22.61036
## Number of parameters: 36
## initial estimates: 28.7498 -16.5009 7.831 -0.5778 0.3961 0.1159 0.046 -0.1717 0.364 0.2014 0.0498 -0.1077 -0.1385 0.0079 0.4401 -0.1886 0.0298 -0.03 0.1515 0.4022 -0.1006 0.0742 -0.3162 0.0656 -0.3332 -0.3595 -0.3051 0.1488 0.1724 0.5211 -0.1465 0.466 -0.2709 0.8216 0.3329 -0.1604
## Par. lower-bounds: 14.8079 -31.5858 -10.066 -16.9291 0.1013 -0.1631 -0.1821 -0.4179 0.045 -0.1004 -0.1969 -0.374 -0.517 -0.3503 0.1473 -0.5047 -0.316 -0.3572 -0.116 0.1134 -0.6485 -0.7125 -1.0363 -0.484 -0.9261 -1.2106 -1.0843 -0.4459 -0.5309 -0.4887 -1.0709 -0.2396 -0.9135 -0.101 -0.5117 -0.805
## Par. upper-bounds: 42.6916 -1.416 25.7279 15.7734 0.6909 0.3948 0.2741 0.0745 0.683 0.5033 0.2966 0.1587 0.2399 0.366 0.7329 0.1274 0.3755 0.2971 0.419 0.6909 0.4473 0.8608 0.404 0.6153 0.2596 0.4917 0.4741 0.7435 0.8758 1.5309 0.778 1.1715 0.3718 1.7442 1.1775 0.4842
## Final Estimates: 28.75844 -16.49664 7.868351 -0.6459015 0.3904769 0.394844 0.02195063 -0.3425767 0.3478429 0.5032768 0.2966306 0.1587004 -0.1490174 0.2042374 0.317518 -0.101852 0.02139082 0.07327298 0.417721 0.1134493 -0.1939092 -0.2259846 -0.01417066 0.3187787 -0.1342696 -0.4319767 -0.4223439 -0.2372061 -0.08556641 -0.00822297 0.260925 -0.1594861 -0.2126764 0.0707474 -0.2173919 0.137255## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 28.758437 9.643238 2.982 0.002861 **
## loneliness_state_pmc -16.496636 8.270508 -1.995 0.046083 *
## socintsatisfaction_state_pmc 7.868351 18.620085 0.423 0.672607
## responsiveness_state_pmc -0.645902 NaN NaN NaN
## depressedmood_state 0.390477 0.207023 1.886 0.059275 .
## loneliness_state_pmc 0.394844 0.238507 1.655 0.097826 .
## socintsatisfaction_state_pmc 0.021951 0.326397 0.067 0.946382
## responsiveness_state_pmc -0.342577 0.320691 -1.068 0.285410
## depressedmood_state 0.347843 0.179257 1.940 0.052323 .
## loneliness_state_pmc 0.503277 0.139002 3.621 0.000294 ***
## socintsatisfaction_state_pmc 0.296631 0.247899 1.197 0.231470
## responsiveness_state_pmc 0.158700 0.206946 0.767 0.443159
## depressedmood_state -0.149017 0.397875 -0.375 0.708007
## loneliness_state_pmc 0.204237 0.430923 0.474 0.635533
## socintsatisfaction_state_pmc 0.317518 0.154717 2.052 0.040146 *
## responsiveness_state_pmc -0.101852 0.318883 -0.319 0.749422
## depressedmood_state 0.021391 NaN NaN NaN
## loneliness_state_pmc 0.073273 0.272283 0.269 0.787848
## socintsatisfaction_state_pmc 0.417721 0.295233 1.415 0.157102
## responsiveness_state_pmc 0.113449 0.176102 0.644 0.519428
## -0.193909 0.218935 -0.886 0.375783
## -0.225985 0.264348 -0.855 0.392620
## -0.014171 0.373519 -0.038 0.969737
## 0.318779 0.332201 0.960 0.337258
## -0.134270 0.222829 -0.603 0.546796
## -0.431977 0.185203 -2.332 0.019677 *
## -0.422344 0.276999 -1.525 0.127331
## -0.237206 0.184765 -1.284 0.199203
## -0.085566 0.411230 -0.208 0.835171
## -0.008223 0.526669 -0.016 0.987543
## 0.260925 0.136233 1.915 0.055456 .
## -0.159486 0.260667 -0.612 0.540644
## -0.212676 0.171704 -1.239 0.215484
## 0.070747 0.443067 0.160 0.873136
## -0.217392 0.232897 -0.933 0.350600
## 0.137255 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 28.75844 -16.49664 7.868351 -0.6459015
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.3905 0.3948 0.022 -0.343
## [2,] 0.3478 0.5033 0.297 0.159
## [3,] -0.1490 0.2042 0.318 -0.102
## [4,] 0.0214 0.0733 0.418 0.113
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1939 0.22598 0.0142 -0.319
## [2,] 0.1343 0.43198 0.4223 0.237
## [3,] 0.0856 0.00822 -0.2609 0.159
## [4,] 0.2127 -0.07075 0.2174 -0.137
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 78.718728 26.04216 -7.157789 -7.50222
## [2,] 26.042156 73.21220 -27.562366 -22.12425
## [3,] -7.157789 -27.56237 146.636736 80.65307
## [4,] -7.502220 -22.12425 80.653065 139.78402
## ----
## aic= 19.0271
## bic= 20.18347
## Number of parameters: 36
## initial estimates: 14.047 -1.4033 1.4381 4.6264 0.0861 0.0325 -0.029 -0.2292 0.0573 0.396 0.1029 -0.4107 -0.0992 -0.2751 0.3429 0.2229 -0.2807 0.0554 -0.0534 0.3483 0.0452 0.2311 -0.1704 -0.0291 -0.2497 -0.0229 0.0241 0.2713 -0.061 -0.474 -0.4278 -0.7217 0.41 -0.5814 -0.0279 -0.4528
## Par. lower-bounds: 8.0797 -7.8277 -8.6919 -1.9211 -0.248 -0.2328 -0.2069 -0.5504 -0.3024 0.1104 -0.0886 -0.7564 -0.6664 -0.7254 0.041 -0.3223 -0.6473 -0.2357 -0.2485 -0.0041 -0.6025 -0.4475 -0.6271 -0.7552 -0.947 -0.7534 -0.4677 -0.5104 -1.1605 -1.6259 -1.2032 -1.9543 -0.3006 -1.3259 -0.5291 -1.2494
## Par. upper-bounds: 20.0143 5.0211 11.5682 11.1739 0.4202 0.2978 0.1488 0.0919 0.417 0.6816 0.2943 -0.0649 0.468 0.1753 0.6447 0.7681 0.0859 0.3465 0.1417 0.7006 0.6929 0.9096 0.2864 0.6969 0.4475 0.7077 0.5158 1.053 1.0385 0.678 0.3476 0.5108 1.1207 0.1632 0.4733 0.3439
## Final Estimates: 12.0432 1.341525 -0.5162777 11.07395 0.2565881 0.2977508 0.1114689 0.09192512 -0.09243171 0.4465407 -0.005507236 -0.06493779 0.1184968 0.1752927 0.1722005 0.4622732 -0.6472583 0.3429728 0.05782965 -0.004109049 -0.07627033 -0.3095037 -0.1420752 -0.4416034 0.06817889 0.0689248 0.1329173 -0.3529329 -0.3090834 -0.6217453 0.3475749 -0.4470793 0.7362103 -0.460351 -0.05591089 0.3160247## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 12.043202 3.150042 3.823 0.000132 ***
## loneliness_state_pmc 1.341525 6.215003 0.216 0.829103
## socintsatisfaction_state_pmc -0.516278 48.047801 -0.011 0.991427
## responsiveness_state_pmc 11.073948 8.852755 1.251 0.210969
## depressedmood_state 0.256588 0.140831 1.822 0.068462 .
## loneliness_state_pmc 0.297751 0.482148 0.618 0.536871
## socintsatisfaction_state_pmc 0.111469 0.614113 0.182 0.855966
## responsiveness_state_pmc 0.091925 0.914276 0.101 0.919912
## depressedmood_state -0.092432 0.274424 -0.337 0.736252
## loneliness_state_pmc 0.446541 1.181096 0.378 0.705376
## socintsatisfaction_state_pmc -0.005507 0.728760 -0.008 0.993970
## responsiveness_state_pmc -0.064938 NaN NaN NaN
## depressedmood_state 0.118497 2.825579 0.042 0.966549
## loneliness_state_pmc 0.175293 1.099447 0.159 0.873325
## socintsatisfaction_state_pmc 0.172201 0.123562 1.394 0.163429
## responsiveness_state_pmc 0.462273 0.401950 1.150 0.250112
## depressedmood_state -0.647258 0.475013 -1.363 0.173005
## loneliness_state_pmc 0.342973 0.972326 0.353 0.724288
## socintsatisfaction_state_pmc 0.057830 0.885321 0.065 0.947919
## responsiveness_state_pmc -0.004109 0.292106 -0.014 0.988777
## -0.076270 0.109854 -0.694 0.487503
## -0.309504 0.918835 -0.337 0.736235
## -0.142075 0.818218 -0.174 0.862149
## -0.441603 1.028140 -0.430 0.667547
## 0.068179 NaN NaN NaN
## 0.068925 1.443943 0.048 0.961928
## 0.132917 0.852760 0.156 0.876138
## -0.352933 0.133924 -2.635 0.008406 **
## -0.309083 2.974791 -0.104 0.917248
## -0.621745 0.740792 -0.839 0.401302
## 0.347575 NaN NaN NaN
## -0.447079 0.664021 -0.673 0.500762
## 0.736210 0.699305 1.053 0.292444
## -0.460351 0.970904 -0.474 0.635395
## -0.055911 0.735492 -0.076 0.939405
## 0.316025 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 12.0432 1.341525 -0.5162777 11.07395
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.2566 0.298 0.11147 0.09193
## [2,] -0.0924 0.447 -0.00551 -0.06494
## [3,] 0.1185 0.175 0.17220 0.46227
## [4,] -0.6473 0.343 0.05783 -0.00411
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0763 0.3095 0.1421 0.442
## [2,] -0.0682 -0.0689 -0.1329 0.353
## [3,] 0.3091 0.6217 -0.3476 0.447
## [4,] -0.7362 0.4604 0.0559 -0.316
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 119.901605 45.32119 -22.09671 8.044277
## [2,] 45.321191 140.15207 -50.90192 -47.850213
## [3,] -22.096706 -50.90192 318.46196 118.584510
## [4,] 8.044277 -47.85021 118.58451 152.625364
## ----
## aic= 20.89462
## bic= 22.05099
## Number of parameters: 36
## initial estimates: 31.0299 -4.6408 -4.1162 6.4228 0.1588 0.0721 0.0588 -0.2345 0.1481 0.1584 -0.0142 -0.1298 0.1274 -0.2659 0.661 -0.2798 -0.1467 0.1018 0.238 0.2823 -0.3237 0.3042 -0.3007 0.0885 0.3437 -0.4066 0.043 -0.0279 -0.1715 0.4673 -0.1529 0.3004 0.3481 0.2839 -0.1177 -0.043
## Par. lower-bounds: 19.4895 -15.7111 -21.9366 -5.2234 -0.1478 -0.2516 -0.1634 -0.576 -0.1461 -0.1521 -0.2273 -0.4574 -0.3461 -0.7657 0.3179 -0.8071 -0.4562 -0.2248 0.0138 -0.0623 -1.0983 -0.4925 -0.8269 -0.813 -0.3993 -1.1708 -0.4619 -0.8927 -1.3675 -0.7629 -0.9656 -1.0916 -0.4336 -0.52 -0.6488 -0.9527
## Par. upper-bounds: 42.5703 6.4296 13.7041 18.069 0.4654 0.3958 0.281 0.1069 0.4422 0.4689 0.199 0.1978 0.6009 0.234 1.0042 0.2475 0.1627 0.4285 0.4623 0.6269 0.4508 1.1008 0.2256 0.99 1.0868 0.3576 0.5478 0.8368 1.0246 1.6974 0.6597 1.6925 1.1298 1.0879 0.4134 0.8668
## Final Estimates: 30.1809 -7.544429 -6.126099 5.920815 0.1320001 0.3958413 0.2810274 -0.02537681 0.2387177 -0.1521093 0.130005 -0.4573583 0.2263698 -0.7657302 0.3178888 -0.5373873 -0.1102674 -0.2248423 0.01377666 -0.06231752 0.2442844 -0.4598145 -0.5049914 -0.1055861 0.02799457 0.2941418 -0.3509454 0.3641351 -0.2263765 0.9913103 0.5035177 0.3557841 0.129192 0.5075778 0.2722868 0.2971074## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 30.18090 NaN NaN NaN
## loneliness_state_pmc -7.54443 6.38560 -1.181 0.237414
## socintsatisfaction_state_pmc -6.12610 9.31430 -0.658 0.510725
## responsiveness_state_pmc 5.92081 5.24498 1.129 0.258960
## depressedmood_state 0.13200 NaN NaN NaN
## loneliness_state_pmc 0.39584 0.26609 1.488 0.136857
## socintsatisfaction_state_pmc 0.28103 0.25786 1.090 0.275789
## responsiveness_state_pmc -0.02538 0.32604 -0.078 0.937961
## depressedmood_state 0.23872 0.18555 1.287 0.198261
## loneliness_state_pmc -0.15211 0.17464 -0.871 0.383747
## socintsatisfaction_state_pmc 0.13000 0.17836 0.729 0.466066
## responsiveness_state_pmc -0.45736 NaN NaN NaN
## depressedmood_state 0.22637 0.26174 0.865 0.387106
## loneliness_state_pmc -0.76573 0.37721 -2.030 0.042359 *
## socintsatisfaction_state_pmc 0.31789 0.39544 0.804 0.421458
## responsiveness_state_pmc -0.53739 NaN NaN NaN
## depressedmood_state -0.11027 0.14434 -0.764 0.444896
## loneliness_state_pmc -0.22484 0.24863 -0.904 0.365828
## socintsatisfaction_state_pmc 0.01378 NaN NaN NaN
## responsiveness_state_pmc -0.06232 NaN NaN NaN
## 0.24428 NaN NaN NaN
## -0.45981 0.32763 -1.403 0.160482
## -0.50499 0.28374 -1.780 0.075117 .
## -0.10559 0.35838 -0.295 0.768281
## 0.02799 0.18781 0.149 0.881509
## 0.29414 0.15913 1.848 0.064537 .
## -0.35095 0.09444 -3.716 0.000202 ***
## 0.36414 NaN NaN NaN
## -0.22638 0.28931 -0.782 0.433941
## 0.99131 0.33066 2.998 0.002717 **
## 0.50352 0.29923 1.683 0.092436 .
## 0.35578 NaN NaN NaN
## 0.12919 NaN NaN NaN
## 0.50758 0.26325 1.928 0.053844 .
## 0.27229 NaN NaN NaN
## 0.29711 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 30.1809 -7.544429 -6.126099 5.920815
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.132 0.396 0.2810 -0.0254
## [2,] 0.239 -0.152 0.1300 -0.4574
## [3,] 0.226 -0.766 0.3179 -0.5374
## [4,] -0.110 -0.225 0.0138 -0.0623
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.244 0.460 0.505 0.106
## [2,] -0.028 -0.294 0.351 -0.364
## [3,] 0.226 -0.991 -0.504 -0.356
## [4,] -0.129 -0.508 -0.272 -0.297
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 62.661445 12.910845 7.162794 -5.433451
## [2,] 12.910845 66.980858 -19.625440 -1.739868
## [3,] 7.162794 -19.625440 172.695963 79.833557
## [4,] -5.433451 -1.739868 79.833557 101.061209
## ----
## aic= 18.55558
## bic= 19.71195
## Number of parameters: 36
## initial estimates: 41.7488 19.0493 -13.081 -15.6623 -0.0544 0.3411 -0.2295 0.113 -0.4793 0.6037 -0.179 0.0426 0.392 -0.1043 0.3344 0.1994 0.3974 -0.0022 0.1481 0.4067 -0.5983 0.3381 -0.1449 0.1237 -0.2074 0.1265 -0.2949 0.255 0.4969 -0.5811 0.1225 -0.3139 -0.4067 -0.1671 -0.1227 -0.3252
## Par. lower-bounds: 25.5992 0.2688 -28.8927 -32.278 -0.4601 -0.0739 -0.6256 -0.264 -0.951 0.1211 -0.6396 -0.3958 -0.0052 -0.5106 -0.0534 -0.1697 -0.02 -0.4292 -0.2595 0.0188 -1.9215 -0.4721 -1.0378 -0.6159 -1.7461 -0.8156 -1.3332 -0.6052 -0.7985 -1.3743 -0.7517 -1.0381 -1.768 -1.0007 -1.0413 -1.0862
## Par. upper-bounds: 57.8984 37.8298 2.7307 0.9533 0.3512 0.7561 0.1666 0.49 -0.0075 1.0863 0.2816 0.481 0.7891 0.302 0.7222 0.5685 0.8147 0.4247 0.5556 0.7945 0.7248 1.1482 0.7479 0.8634 1.3312 1.0687 0.7434 1.1152 1.7924 0.2122 0.9967 0.4103 0.9546 0.6665 0.796 0.4359
## Final Estimates: 41.70278 18.99642 -13.13093 -15.6504 -0.02193786 0.5713008 0.1665744 0.1440553 -0.4481852 0.8784078 -0.1406118 0.4809763 0.306192 0.3019598 0.4310889 0.1657416 0.3583899 -0.001189136 0.4309593 0.02587871 -0.1905771 -0.3000775 -0.6035617 -0.04213844 -0.1126744 -0.3624914 -0.1976869 -0.5627694 0.1833631 -0.6249706 0.01624648 -0.05069248 0.1641076 -0.1805707 -0.3844378 0.4358505## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 41.702780 NaN NaN NaN
## loneliness_state_pmc 18.996416 NaN NaN NaN
## socintsatisfaction_state_pmc -13.130930 NaN NaN NaN
## responsiveness_state_pmc -15.650398 NaN NaN NaN
## depressedmood_state -0.021938 NaN NaN NaN
## loneliness_state_pmc 0.571301 NaN NaN NaN
## socintsatisfaction_state_pmc 0.166574 NaN NaN NaN
## responsiveness_state_pmc 0.144055 NaN NaN NaN
## depressedmood_state -0.448185 NaN NaN NaN
## loneliness_state_pmc 0.878408 0.294468 2.983 0.00285 **
## socintsatisfaction_state_pmc -0.140612 NaN NaN NaN
## responsiveness_state_pmc 0.480976 NaN NaN NaN
## depressedmood_state 0.306192 NaN NaN NaN
## loneliness_state_pmc 0.301960 NaN NaN NaN
## socintsatisfaction_state_pmc 0.431089 0.226818 1.901 0.05736 .
## responsiveness_state_pmc 0.165742 0.122519 1.353 0.17612
## depressedmood_state 0.358390 NaN NaN NaN
## loneliness_state_pmc -0.001189 0.169408 -0.007 0.99440
## socintsatisfaction_state_pmc 0.430959 NaN NaN NaN
## responsiveness_state_pmc 0.025879 NaN NaN NaN
## -0.190577 NaN NaN NaN
## -0.300077 0.119271 -2.516 0.01187 *
## -0.603562 NaN NaN NaN
## -0.042138 NaN NaN NaN
## -0.112674 NaN NaN NaN
## -0.362491 0.340140 -1.066 0.28655
## -0.197687 NaN NaN NaN
## -0.562769 NaN NaN NaN
## 0.183363 NaN NaN NaN
## -0.624971 NaN NaN NaN
## 0.016246 0.195294 0.083 0.93370
## -0.050692 0.070028 -0.724 0.46913
## 0.164108 NaN NaN NaN
## -0.180571 0.227064 -0.795 0.42647
## -0.384438 NaN NaN NaN
## 0.435850 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 41.70278 18.99642 -13.13093 -15.6504
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.0219 0.57130 0.167 0.1441
## [2,] -0.4482 0.87841 -0.141 0.4810
## [3,] 0.3062 0.30196 0.431 0.1657
## [4,] 0.3584 -0.00119 0.431 0.0259
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.191 0.300 0.6036 0.0421
## [2,] 0.113 0.362 0.1977 0.5628
## [3,] -0.183 0.625 -0.0162 0.0507
## [4,] -0.164 0.181 0.3844 -0.4359
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 235.4311 187.2299 -133.7988 -102.6135
## [2,] 187.2299 300.7867 -122.8270 -118.5761
## [3,] -133.7988 -122.8270 316.3614 194.5059
## [4,] -102.6135 -118.5761 194.5059 278.4696
## ----
## aic= 22.00823
## bic= 23.1646
## Number of parameters: 36
## initial estimates: 37.2469 5.7558 -9.7562 -8.5539 -0.0384 0.0808 -0.5584 0.0776 -0.1392 0.3466 -0.3566 -0.054 0.2185 0.0096 0.4222 0.3896 0.2307 0.0858 0.1496 0.6866 -0.5244 -0.0651 0.1418 -0.7753 -0.2289 -0.2052 0.1393 -0.2219 -0.6483 0.1433 -0.4519 0.316 -0.1854 -0.1853 -0.5049 0.0082
## Par. lower-bounds: 22.2312 -11.8043 -25.2982 -20.2942 -0.4451 -0.2593 -0.9422 -0.2741 -0.6148 -0.0512 -0.8053 -0.4652 -0.2025 -0.3425 0.025 0.0256 -0.0873 -0.1801 -0.1504 0.4117 -1.4928 -1.0112 -0.8195 -1.626 -1.3615 -1.3117 -0.9849 -1.2167 -1.6506 -0.836 -1.447 -0.5645 -0.9426 -0.9251 -1.2565 -0.6569
## Par. upper-bounds: 52.2626 23.316 5.7858 3.1863 0.3683 0.4209 -0.1747 0.4292 0.3364 0.7443 0.0922 0.3573 0.6394 0.3616 0.8193 0.7535 0.5487 0.3517 0.4497 0.9616 0.444 0.8811 1.1031 0.0754 0.9036 0.9013 1.2635 0.773 0.3541 1.1226 0.5431 1.1965 0.5718 0.5544 0.2468 0.6734
## Final Estimates: 37.24012 5.749857 -9.769388 -8.5412 -0.06512754 0.2560191 -0.7953039 0.2558798 -0.1695282 0.6070111 -0.2587442 0.06064736 0.2466209 0.004557027 0.5079335 0.1994397 0.2674551 0.2630796 0.4487839 0.6717378 -0.4702953 -0.2072466 0.2716862 -0.4800826 -0.2612542 -0.3067418 -0.02764235 -0.2579503 -0.3190129 0.07683981 -0.2484156 0.1345453 -0.3438854 -0.2347915 -0.462581 -0.3405829## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 37.240123 5.728421 6.501 7.98e-11 ***
## loneliness_state_pmc 5.749857 6.299981 0.913 0.36141
## socintsatisfaction_state_pmc -9.769388 29.974891 -0.326 0.74449
## responsiveness_state_pmc -8.541200 10.871757 -0.786 0.43208
## depressedmood_state -0.065128 0.158002 -0.412 0.68020
## loneliness_state_pmc 0.256019 0.324460 0.789 0.43008
## socintsatisfaction_state_pmc -0.795304 0.139106 -5.717 1.08e-08 ***
## responsiveness_state_pmc 0.255880 0.569488 0.449 0.65320
## depressedmood_state -0.169528 0.170771 -0.993 0.32085
## loneliness_state_pmc 0.607011 0.223711 2.713 0.00666 **
## socintsatisfaction_state_pmc -0.258744 1.249785 -0.207 0.83599
## responsiveness_state_pmc 0.060647 0.535760 0.113 0.90987
## depressedmood_state 0.246621 0.768174 0.321 0.74817
## loneliness_state_pmc 0.004557 0.377092 0.012 0.99036
## socintsatisfaction_state_pmc 0.507934 0.156366 3.248 0.00116 **
## responsiveness_state_pmc 0.199440 0.383483 0.520 0.60301
## depressedmood_state 0.267455 0.252868 1.058 0.29020
## loneliness_state_pmc 0.263080 0.251638 1.045 0.29581
## socintsatisfaction_state_pmc 0.448784 0.222605 2.016 0.04379 *
## responsiveness_state_pmc 0.671738 0.575994 1.166 0.24352
## -0.470295 0.360503 -1.305 0.19205
## -0.207247 0.528760 -0.392 0.69510
## 0.271686 0.227763 1.193 0.23293
## -0.480083 0.609901 -0.787 0.43120
## -0.261254 0.454909 -0.574 0.56576
## -0.306742 0.183225 -1.674 0.09411 .
## -0.027642 1.209043 -0.023 0.98176
## -0.257950 0.524710 -0.492 0.62300
## -0.319013 0.570869 -0.559 0.57628
## 0.076840 0.326171 0.236 0.81376
## -0.248416 NaN NaN NaN
## 0.134545 0.526938 0.255 0.79847
## -0.343885 0.162991 -2.110 0.03487 *
## -0.234791 0.460366 -0.510 0.61004
## -0.462581 NaN NaN NaN
## -0.340583 1.302700 -0.261 0.79375
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 37.24012 5.749857 -9.769388 -8.5412
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.0651 0.25602 -0.795 0.2559
## [2,] -0.1695 0.60701 -0.259 0.0606
## [3,] 0.2466 0.00456 0.508 0.1994
## [4,] 0.2675 0.26308 0.449 0.6717
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.470 0.2072 -0.2717 0.480
## [2,] 0.261 0.3067 0.0276 0.258
## [3,] 0.319 -0.0768 0.2484 -0.135
## [4,] 0.344 0.2348 0.4626 0.341
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 351.2225 305.3421 -283.8634 -107.1711
## [2,] 305.3421 479.1564 -314.3049 -159.9814
## [3,] -283.8634 -314.3049 446.7201 191.2717
## [4,] -107.1711 -159.9814 191.2717 248.1548
## ----
## aic= 22.60107
## bic= 23.75744
## Number of parameters: 36
## initial estimates: 31.7998 4.0714 0.284 -0.8081 -0.033 0.4004 -1.3545 -4e-04 -0.1284 0.3703 -0.7588 0.3051 0.0046 -0.1583 0.3777 -0.048 0.0124 0.053 0.158 0.269 0.2208 -1.0346 0.7546 -1.1296 -0.8566 -0.1165 1.1509 -1.6068 -0.1764 0.3626 -0.1513 0.3259 0.5818 -0.5989 -0.5847 0.7961
## Par. lower-bounds: 20.724 -5.9576 -5.1214 -7.5261 -0.3713 -0.0152 -2.0663 -0.4401 -0.4347 -0.006 -1.4034 -0.0931 -0.1605 -0.3611 0.0303 -0.2626 -0.1928 -0.199 -0.2737 0.0023 -0.7192 -1.9126 -0.4362 -2.3992 -1.7078 -0.9114 0.0727 -2.7564 -0.6352 -0.0659 -0.7324 -0.2937 0.0117 -1.1314 -1.307 0.026
## Par. upper-bounds: 42.8757 14.1004 5.6894 5.9099 0.3053 0.8159 -0.6427 0.4394 0.178 0.7466 -0.1143 0.7032 0.1697 0.0445 0.7251 0.1666 0.2176 0.3051 0.5898 0.5357 1.1608 -0.1567 1.9453 0.14 -0.0055 0.6785 2.2291 -0.4572 0.2823 0.791 0.4298 0.9455 1.152 -0.0663 0.1375 1.5662
## Final Estimates: 31.79982 4.071399 0.2840102 -0.808106 -0.03304098 0.4003625 -1.354478 -0.0003684454 -0.128355 0.3703025 -0.7588355 0.305063 0.00456708 -0.1582595 0.3776748 -0.04798102 0.0123819 0.05303387 0.1580411 0.2689776 0.2208027 -1.034629 0.7545679 -1.129642 -0.8566411 -0.1164836 1.15091 -1.606825 -0.1764385 0.3625707 -0.1512717 0.3258783 0.5818454 -0.5988525 -0.5847337 0.7960916
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 31.7998232 NaN NaN NaN
## loneliness_state_pmc 4.0713986 NaN NaN NaN
## socintsatisfaction_state_pmc 0.2840102 NaN NaN NaN
## responsiveness_state_pmc -0.8081060 NaN NaN NaN
## depressedmood_state -0.0330410 NaN NaN NaN
## loneliness_state_pmc 0.4003625 NaN NaN NaN
## socintsatisfaction_state_pmc -1.3544777 NaN NaN NaN
## responsiveness_state_pmc -0.0003684 NaN NaN NaN
## depressedmood_state -0.1283550 NaN NaN NaN
## loneliness_state_pmc 0.3703025 NaN NaN NaN
## socintsatisfaction_state_pmc -0.7588355 NaN NaN NaN
## responsiveness_state_pmc 0.3050630 NaN NaN NaN
## depressedmood_state 0.0045671 NaN NaN NaN
## loneliness_state_pmc -0.1582595 NaN NaN NaN
## socintsatisfaction_state_pmc 0.3776748 NaN NaN NaN
## responsiveness_state_pmc -0.0479810 NaN NaN NaN
## depressedmood_state 0.0123819 NaN NaN NaN
## loneliness_state_pmc 0.0530339 NaN NaN NaN
## socintsatisfaction_state_pmc 0.1580411 NaN NaN NaN
## responsiveness_state_pmc 0.2689776 NaN NaN NaN
## 0.2208027 NaN NaN NaN
## -1.0346286 NaN NaN NaN
## 0.7545679 NaN NaN NaN
## -1.1296421 NaN NaN NaN
## -0.8566411 NaN NaN NaN
## -0.1164836 NaN NaN NaN
## 1.1509102 NaN NaN NaN
## -1.6068253 NaN NaN NaN
## -0.1764385 NaN NaN NaN
## 0.3625707 NaN NaN NaN
## -0.1512717 NaN NaN NaN
## 0.3258783 NaN NaN NaN
## 0.5818454 NaN NaN NaN
## -0.5988525 NaN NaN NaN
## -0.5847337 NaN NaN NaN
## 0.7960916 NaN NaN NaN
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 31.79982 4.071399 0.2840102 -0.808106
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.03304 0.400 -1.354 -0.000368
## [2,] -0.12835 0.370 -0.759 0.305063
## [3,] 0.00457 -0.158 0.378 -0.047981
## [4,] 0.01238 0.053 0.158 0.268978
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.221 1.035 -0.755 1.130
## [2,] 0.857 0.116 -1.151 1.607
## [3,] 0.176 -0.363 0.151 -0.326
## [4,] -0.582 0.599 0.585 -0.796
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.393880e+18 2.482184e+19 6.503044e+17 -2.375917e+19
## [2,] 2.482184e+19 4.420207e+20 1.158045e+19 -4.230970e+20
## [3,] 6.503044e+17 1.158045e+19 3.033948e+17 -1.108467e+19
## [4,] -2.375917e+19 -4.230970e+20 -1.108467e+19 4.049834e+20## Warning in log(dd): NaNs produced## ----
## aic= NaN
## bic= NaN
## Number of parameters: 36
## initial estimates: 12.8455 -17.8527 19.0854 16.6147 0.4813 -0.3197 -0.1596 -0.2329 0.56 -0.4823 -0.2334 -0.0317 -0.6133 0.3398 0.6163 -0.2927 -0.5031 0.4082 0.4518 -0.1831 -0.3169 0.3902 0.052 0.5437 -0.4611 0.0564 -0.1473 0.2437 0.4357 -0.8835 -0.5431 0.8438 0.7998 -0.4718 -0.145 0.1173
## Par. lower-bounds: 3.4867 -25.1643 8.8204 8.2821 0.1598 -0.7551 -0.4705 -0.6588 0.3089 -0.8225 -0.4763 -0.3644 -0.9659 -0.1378 0.2753 -0.7598 -0.7894 0.0205 0.175 -0.5623 -0.9688 -0.4789 -0.5287 -0.2171 -0.9704 -0.6226 -0.6009 -0.3507 -0.2793 -1.8368 -1.18 0.0093 0.2194 -1.2457 -0.662 -0.5601
## Par. upper-bounds: 22.2044 -10.5411 29.3503 24.9472 0.8028 0.1158 0.1514 0.1929 0.8112 -0.1421 0.0096 0.301 -0.2607 0.8174 0.9574 0.1743 -0.2169 0.7959 0.7287 0.196 0.335 1.2594 0.6327 1.3046 0.0482 0.7355 0.3064 0.8381 1.1507 0.0698 0.0939 1.6783 1.3802 0.302 0.372 0.7948
## Final Estimates: 12.69715 -17.96753 19.03915 16.56366 0.5370763 -0.7551283 -0.2357787 -0.6587953 0.6438054 -0.793323 -0.2216342 -0.3644091 -0.6478718 0.08820428 0.2752897 0.05661592 -0.5559374 0.02046897 0.7286669 -0.5599686 0.0001229756 0.9853159 0.2534413 0.7829379 -0.2581701 0.6004173 0.1432373 0.364778 0.4952995 0.06984101 0.06805421 0.1570485 0.3675128 0.04128469 -0.5903818 0.5686842## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 12.697155 3.815615 3.328 0.000876 ***
## loneliness_state_pmc -17.967534 7.533496 -2.385 0.017078 *
## socintsatisfaction_state_pmc 19.039152 13.709851 1.389 0.164918
## responsiveness_state_pmc 16.563662 12.802968 1.294 0.195757
## depressedmood_state 0.537076 0.120129 4.471 7.79e-06 ***
## loneliness_state_pmc -0.755128 0.547359 -1.380 0.167715
## socintsatisfaction_state_pmc -0.235779 0.502184 -0.470 0.638708
## responsiveness_state_pmc -0.658795 0.595740 -1.106 0.268795
## depressedmood_state 0.643805 0.262218 2.455 0.014079 *
## loneliness_state_pmc -0.793323 0.675166 -1.175 0.239993
## socintsatisfaction_state_pmc -0.221634 0.317928 -0.697 0.485727
## responsiveness_state_pmc -0.364409 0.336227 -1.084 0.278445
## depressedmood_state -0.647872 0.473171 -1.369 0.170933
## loneliness_state_pmc 0.088204 0.466045 0.189 0.849888
## socintsatisfaction_state_pmc 0.275290 0.428853 0.642 0.520925
## responsiveness_state_pmc 0.056616 0.521487 0.109 0.913546
## depressedmood_state -0.555937 0.453549 -1.226 0.220293
## loneliness_state_pmc 0.020469 0.642573 0.032 0.974588
## socintsatisfaction_state_pmc 0.728667 0.301853 2.414 0.015779 *
## responsiveness_state_pmc -0.559969 0.369457 -1.516 0.129607
## 0.000123 NaN NaN NaN
## 0.985316 0.570718 1.726 0.084266 .
## 0.253441 0.522028 0.485 0.627326
## 0.782938 0.708264 1.105 0.268973
## -0.258170 0.253523 -1.018 0.308522
## 0.600417 0.637457 0.942 0.346247
## 0.143237 0.285232 0.502 0.615543
## 0.364778 0.252801 1.443 0.149035
## 0.495300 0.452536 1.094 0.273737
## 0.069841 0.518178 0.135 0.892784
## 0.068054 0.431934 0.158 0.874806
## 0.157049 0.506508 0.310 0.756514
## 0.367513 0.359510 1.022 0.306658
## 0.041285 0.653771 0.063 0.949648
## -0.590382 0.277374 -2.128 0.033298 *
## 0.568684 0.294086 1.934 0.053146 .
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 12.69715 -17.96753 19.03915 16.56366
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.537 -0.7551 -0.236 -0.6588
## [2,] 0.644 -0.7933 -0.222 -0.3644
## [3,] -0.648 0.0882 0.275 0.0566
## [4,] -0.556 0.0205 0.729 -0.5600
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.000123 -0.9853 -0.2534 -0.783
## [2,] 0.258170 -0.6004 -0.1432 -0.365
## [3,] -0.495300 -0.0698 -0.0681 -0.157
## [4,] -0.367513 -0.0413 0.5904 -0.569
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 102.57808 39.92010 -26.39325 -50.58404
## [2,] 39.92010 120.09119 -84.44747 -61.44507
## [3,] -26.39325 -84.44747 210.31236 74.28815
## [4,] -50.58404 -61.44507 74.28815 108.65101
## ----
## aic= 19.42635
## bic= 20.58272
## Number of parameters: 36
## initial estimates: 27.809 -13.9699 18.3846 14.6117 0.5492 -0.0344 -0.1247 0.0393 0.2355 0.2332 -0.2446 0.2386 -0.327 -0.0434 0.4441 -0.1955 -0.2411 -0.0979 0.0965 0.3917 -0.713 0.6926 -0.3215 0.8556 -0.0579 -0.0617 0.2296 -0.2764 -0.0315 0.271 0.0166 0.4065 -0.1599 0.4855 -0.0719 0.5287
## Par. lower-bounds: 5.3608 -36.1082 -12.5669 -8.1786 0.1838 -0.4181 -0.377 -0.25 -0.1248 -0.1452 -0.4934 -0.0467 -0.8308 -0.5724 0.0962 -0.5944 -0.6121 -0.4874 -0.1596 0.0979 -1.8402 -0.4102 -0.9816 -0.4503 -1.1695 -1.1492 -0.4214 -1.5643 -1.5856 -1.2494 -0.8935 -1.3941 -1.3043 -0.634 -0.7421 -0.7971
## Par. upper-bounds: 50.2573 8.1683 49.3361 37.4019 0.9146 0.3493 0.1276 0.3286 0.5959 0.6116 0.0041 0.5239 0.1768 0.4856 0.7919 0.2034 0.1298 0.2916 0.3526 0.6854 0.4142 1.7953 0.3386 2.1615 1.0537 1.0258 0.8806 1.0115 1.5227 1.7914 0.9268 2.2071 0.9844 1.6051 0.5982 1.8545
## Final Estimates: 27.78435 -14.06008 18.40102 14.57569 0.5392386 0.1632895 -0.1324323 0.07466259 0.2466639 0.2343702 -0.2145341 0.1285936 -0.2896881 -0.572419 0.09624081 -0.4001472 -0.2171451 -0.4045531 0.1240544 0.0979353 -0.05528615 -0.2406265 -0.03545921 0.007087873 -0.05210054 -0.06241022 0.01082998 0.1452063 -0.03473222 0.8056468 0.5468204 0.4856943 -0.0377102 0.5569553 -0.0863806 0.6006896
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 27.784351 43.355466 0.641 0.52162
## loneliness_state_pmc -14.060079 32.790904 -0.429 0.66808
## socintsatisfaction_state_pmc 18.401017 28.072796 0.655 0.51216
## responsiveness_state_pmc 14.575692 24.096110 0.605 0.54525
## depressedmood_state 0.539239 0.726099 0.743 0.45769
## loneliness_state_pmc 0.163290 0.750878 0.217 0.82785
## socintsatisfaction_state_pmc -0.132432 0.272309 -0.486 0.62673
## responsiveness_state_pmc 0.074663 0.366136 0.204 0.83842
## depressedmood_state 0.246664 0.552873 0.446 0.65549
## loneliness_state_pmc 0.234370 0.868919 0.270 0.78737
## socintsatisfaction_state_pmc -0.214534 0.242149 -0.886 0.37564
## responsiveness_state_pmc 0.128594 0.287259 0.448 0.65440
## depressedmood_state -0.289688 0.471024 -0.615 0.53854
## loneliness_state_pmc -0.572419 0.391368 -1.463 0.14357
## socintsatisfaction_state_pmc 0.096241 0.251094 0.383 0.70151
## responsiveness_state_pmc -0.400147 0.228716 -1.750 0.08020 .
## depressedmood_state -0.217145 0.405513 -0.535 0.59232
## loneliness_state_pmc -0.404553 0.444023 -0.911 0.36224
## socintsatisfaction_state_pmc 0.124054 0.195579 0.634 0.52589
## responsiveness_state_pmc 0.097935 0.226322 0.433 0.66521
## -0.055286 0.771123 -0.072 0.94284
## -0.240627 0.779238 -0.309 0.75748
## -0.035459 0.374646 -0.095 0.92460
## 0.007088 0.505714 0.014 0.98882
## -0.052101 0.705595 -0.074 0.94114
## -0.062410 0.989772 -0.063 0.94972
## 0.010830 0.284023 0.038 0.96958
## 0.145206 0.406166 0.358 0.72071
## -0.034732 0.518017 -0.067 0.94654
## 0.805647 0.442012 1.823 0.06835 .
## 0.546820 0.232336 2.354 0.01859 *
## 0.485694 0.184933 2.626 0.00863 **
## -0.037710 0.416140 -0.091 0.92780
## 0.556955 0.457140 1.218 0.22309
## -0.086381 0.177162 -0.488 0.62585
## 0.600690 0.231644 2.593 0.00951 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 27.78435 -14.06008 18.40102 14.57569
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.539 0.163 -0.1324 0.0747
## [2,] 0.247 0.234 -0.2145 0.1286
## [3,] -0.290 -0.572 0.0962 -0.4001
## [4,] -0.217 -0.405 0.1241 0.0979
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0553 0.2406 0.0355 -0.00709
## [2,] 0.0521 0.0624 -0.0108 -0.14521
## [3,] 0.0347 -0.8056 -0.5468 -0.48569
## [4,] 0.0377 -0.5570 0.0864 -0.60069
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 262.98384 152.13099 -80.38245 -50.37110
## [2,] 152.13099 231.88033 -70.42164 -70.39518
## [3,] -80.38245 -70.42164 358.35168 174.62804
## [4,] -50.37110 -70.39518 174.62804 230.47663
## ----
## aic= 22.29972
## bic= 23.45608
## Number of parameters: 36
## initial estimates: 42.9385 9.7964 -5.3762 -7.8291 0.1478 0.2483 -0.0957 -0.2003 -0.1699 0.2406 -0.1248 -0.2934 0.1011 -0.0837 0.3652 -0.0091 0.159 -0.1238 0.007 0.2914 -0.4878 -0.7477 -0.7611 0.4404 0.1562 -0.559 -0.2651 0.0362 0.2672 0.2046 0.2229 0.2054 0.2948 -0.3695 -0.2697 0.545
## Par. lower-bounds: 23.4496 -6.7197 -23.9415 -17.9637 -0.2388 -0.1252 -0.4488 -0.6813 -0.4974 -0.076 -0.4242 -0.701 -0.2671 -0.4395 0.0287 -0.4673 -0.042 -0.318 -0.1766 0.0412 -1.2984 -1.987 -1.7754 -0.7635 -0.5308 -1.6092 -1.1248 -0.984 -0.505 -0.9759 -0.7434 -0.9414 -0.1268 -1.0139 -0.7972 -0.081
## Par. upper-bounds: 62.4274 26.3126 13.1891 2.3056 0.5343 0.6218 0.2575 0.2807 0.1577 0.5571 0.1745 0.1143 0.4693 0.2722 0.7016 0.4491 0.36 0.0705 0.1907 0.5415 0.3229 0.4916 0.2533 1.6442 0.8432 0.4912 0.5945 1.0564 1.0395 1.3852 1.1892 1.3521 0.7163 0.275 0.2578 1.171
## Final Estimates: 43.11998 9.009901 -5.919664 -7.341611 0.1180585 0.07951282 0.257521 -0.2205904 -0.1796067 0.5026884 0.1744667 -0.7010003 0.1366264 -0.4395085 0.2205995 -0.4673473 0.1516466 0.07045438 0.1906915 0.410621 -0.1015713 0.1892729 -0.609357 0.2441134 -0.001997039 -0.1249318 -0.3540848 0.7948385 -0.02275244 0.4597765 0.2566046 0.4620234 -0.1147804 -0.1340776 -0.3620257 -0.0750199## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 43.119980 NaN NaN NaN
## loneliness_state_pmc 9.009901 14.362463 0.627 0.5304
## socintsatisfaction_state_pmc -5.919664 21.867483 -0.271 0.7866
## responsiveness_state_pmc -7.341611 NaN NaN NaN
## depressedmood_state 0.118059 NaN NaN NaN
## loneliness_state_pmc 0.079513 0.937296 0.085 0.9324
## socintsatisfaction_state_pmc 0.257521 0.326737 0.788 0.4306
## responsiveness_state_pmc -0.220590 0.844565 -0.261 0.7939
## depressedmood_state -0.179607 0.287123 -0.626 0.5316
## loneliness_state_pmc 0.502688 0.304862 1.649 0.0992 .
## socintsatisfaction_state_pmc 0.174467 0.665749 0.262 0.7933
## responsiveness_state_pmc -0.701000 0.346782 -2.021 0.0432 *
## depressedmood_state 0.136626 0.451386 0.303 0.7621
## loneliness_state_pmc -0.439508 1.163450 -0.378 0.7056
## socintsatisfaction_state_pmc 0.220600 0.354859 0.622 0.5342
## responsiveness_state_pmc -0.467347 0.530240 -0.881 0.3781
## depressedmood_state 0.151647 NaN NaN NaN
## loneliness_state_pmc 0.070454 0.169136 0.417 0.6770
## socintsatisfaction_state_pmc 0.190691 0.172676 1.104 0.2694
## responsiveness_state_pmc 0.410621 0.309025 1.329 0.1839
## -0.101571 NaN NaN NaN
## 0.189273 0.877357 0.216 0.8292
## -0.609357 0.355322 -1.715 0.0864 .
## 0.244113 0.855309 0.285 0.7753
## -0.001997 0.538326 -0.004 0.9970
## -0.124932 0.304450 -0.410 0.6815
## -0.354085 0.950212 -0.373 0.7094
## 0.794839 NaN NaN NaN
## -0.022752 0.244036 -0.093 0.9257
## 0.459777 1.112177 0.413 0.6793
## 0.256605 0.290191 0.884 0.3766
## 0.462023 0.456280 1.013 0.3113
## -0.114780 0.203267 -0.565 0.5723
## -0.134078 NaN NaN NaN
## -0.362026 0.230079 -1.573 0.1156
## -0.075020 0.359923 -0.208 0.8349
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 43.11998 9.009901 -5.919664 -7.341611
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.118 0.0795 0.258 -0.221
## [2,] -0.180 0.5027 0.174 -0.701
## [3,] 0.137 -0.4395 0.221 -0.467
## [4,] 0.152 0.0705 0.191 0.411
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1016 -0.189 0.609 -0.244
## [2,] 0.0020 0.125 0.354 -0.795
## [3,] 0.0228 -0.460 -0.257 -0.462
## [4,] 0.1148 0.134 0.362 0.075
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 137.30106 66.98805 -68.48591 -29.52783
## [2,] 66.98805 102.00683 -36.26238 -17.83925
## [3,] -68.48591 -36.26238 95.99717 32.65627
## [4,] -29.52783 -17.83925 32.65627 44.65696
## ----
## aic= 17.80897
## bic= 18.96534
## Number of parameters: 36
## initial estimates: 29.1272 4.3658 23.6271 12.1882 0.4589 -0.2166 -0.2078 0.1021 -0.0391 -0.0295 -0.2122 -0.0062 -0.4428 -0.2435 0.1882 0.0018 -0.2446 -0.1555 -0.091 0.0534 0.1355 -1.1834 -0.1217 -0.1273 0.5073 -0.5633 0.0618 0.1664 -0.2234 0.9295 -0.1848 -0.2882 -0.1345 0.8619 0.2226 -0.1834
## Par. lower-bounds: 11.2567 -10.4789 -12.0616 -13.6387 0.1213 -0.6486 -0.4257 -0.166 -0.3195 -0.3884 -0.3932 -0.2289 -1.117 -1.1063 -0.2471 -0.5335 -0.7324 -0.7799 -0.406 -0.3339 -0.647 -2.6729 -0.8622 -0.9176 -0.1427 -1.8007 -0.5533 -0.4901 -1.7861 -2.0452 -1.6636 -1.8666 -1.2653 -1.2909 -0.8476 -1.3256
## Par. upper-bounds: 46.9978 19.2104 59.3158 38.0151 0.7964 0.2154 0.0101 0.3701 0.2413 0.3293 -0.0312 0.2164 0.2313 0.6192 0.6234 0.5371 0.2433 0.4688 0.2239 0.4408 0.9179 0.3062 0.6187 0.6631 1.1572 0.674 0.6769 0.823 1.3392 3.9043 1.2939 1.2902 0.9963 3.0146 1.2927 0.9589
## Final Estimates: 29.11619 4.498029 23.58425 12.23081 0.4493589 -0.2641328 -0.008624153 0.3700939 -0.08400679 0.329327 -0.05116777 -0.2202474 -0.4393215 0.1967041 0.4415758 -0.4942609 -0.2297303 0.3852618 -0.1609698 0.4198773 -0.01894843 0.0800393 -0.1914491 -0.2072815 0.1133653 -0.007175047 -0.07216277 0.2988668 0.06954108 -0.1931812 -0.193147 0.1148187 0.07466996 -0.92136 0.1962008 -0.7118977## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 29.116188 19.829972 1.468 0.14202
## loneliness_state_pmc 4.498029 7.078647 0.635 0.52514
## socintsatisfaction_state_pmc 23.584248 NaN NaN NaN
## responsiveness_state_pmc 12.230809 NaN NaN NaN
## depressedmood_state 0.449359 0.370225 1.214 0.22485
## loneliness_state_pmc -0.264133 0.493316 -0.535 0.59236
## socintsatisfaction_state_pmc -0.008624 0.271848 -0.032 0.97469
## responsiveness_state_pmc 0.370094 NaN NaN NaN
## depressedmood_state -0.084007 0.129976 -0.646 0.51807
## loneliness_state_pmc 0.329327 0.139646 2.358 0.01836 *
## socintsatisfaction_state_pmc -0.051168 0.071413 -0.717 0.47368
## responsiveness_state_pmc -0.220247 0.081548 -2.701 0.00692 **
## depressedmood_state -0.439322 NaN NaN NaN
## loneliness_state_pmc 0.196704 0.713836 0.276 0.78289
## socintsatisfaction_state_pmc 0.441576 0.182596 2.418 0.01559 *
## responsiveness_state_pmc -0.494261 0.933585 -0.529 0.59651
## depressedmood_state -0.229730 NaN NaN NaN
## loneliness_state_pmc 0.385262 0.799670 0.482 0.62997
## socintsatisfaction_state_pmc -0.160970 0.128008 -1.258 0.20857
## responsiveness_state_pmc 0.419877 0.582220 0.721 0.47081
## -0.018948 0.404114 -0.047 0.96260
## 0.080039 0.480281 0.167 0.86764
## -0.191449 0.264168 -0.725 0.46862
## -0.207281 NaN NaN NaN
## 0.113365 0.155732 0.728 0.46664
## -0.007175 0.218004 -0.033 0.97374
## -0.072163 NaN NaN NaN
## 0.298867 NaN NaN NaN
## 0.069541 0.269329 0.258 0.79625
## -0.193181 0.459267 -0.421 0.67403
## -0.193147 0.165730 -1.165 0.24384
## 0.114819 1.073523 0.107 0.91482
## 0.074670 NaN NaN NaN
## -0.921360 0.819084 -1.125 0.26065
## 0.196201 0.221336 0.886 0.37538
## -0.711898 0.746653 -0.953 0.34036
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 29.11619 4.498029 23.58425 12.23081
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.449 -0.264 -0.00862 0.370
## [2,] -0.084 0.329 -0.05117 -0.220
## [3,] -0.439 0.197 0.44158 -0.494
## [4,] -0.230 0.385 -0.16097 0.420
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0189 -0.08004 0.1914 0.207
## [2,] -0.1134 0.00718 0.0722 -0.299
## [3,] -0.0695 0.19318 0.1931 -0.115
## [4,] -0.0747 0.92136 -0.1962 0.712
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 92.57456 62.96584 -110.8168 -66.75121
## [2,] 62.96584 94.97061 -128.7969 -71.64537
## [3,] -110.81683 -128.79687 413.1783 203.13484
## [4,] -66.75121 -71.64537 203.1348 191.25868
## ----
## aic= 19.4167
## bic= 20.57307
## Number of parameters: 36
## initial estimates: 20.3875 -8.2664 1.5737 -1.5211 0.2112 -0.0917 0.1216 0.0105 0.3851 -0.3389 -0.2712 0.2319 -0.1067 0.0062 0.0029 -0.0271 0.0433 0.2042 0.112 0.2075 -0.5139 0.6289 0.243 -0.6584 -0.1334 -0.5297 -0.0391 -0.8486 0.1433 -0.2023 -0.0177 0.2337 0.669 -0.9407 -0.0864 0.0254
## Par. lower-bounds: 10.0977 -20.9865 -9.583 -12.9176 -0.1696 -0.3965 -0.1775 -0.2965 -0.0856 -0.7157 -0.6409 -0.1476 -0.5196 -0.3243 -0.3214 -0.36 -0.3784 -0.1334 -0.2193 -0.1325 -1.486 -0.5744 -0.3418 -1.2293 -1.3351 -2.0172 -0.7621 -1.5542 -0.9108 -1.507 -0.6519 -0.3852 -0.4076 -2.2735 -0.7342 -0.6068
## Par. upper-bounds: 30.6774 4.4538 12.7304 9.8755 0.5919 0.2131 0.4207 0.3175 0.8558 0.0379 0.0985 0.6114 0.3061 0.3366 0.3271 0.3057 0.465 0.5418 0.4432 0.5475 0.4582 1.8323 0.8279 -0.0876 1.0683 0.9579 0.6839 -0.143 1.1973 1.1024 0.6164 0.8526 1.7457 0.392 0.5613 0.6576
## Final Estimates: 21.57808 -9.594952 1.912596 -1.091828 0.1216691 -0.396489 -0.1417301 0.3107384 0.4792191 -0.665294 -0.6409189 0.6113556 -0.07630673 -0.3242989 0.3271361 -0.359995 0.04344961 0.1468879 0.4432035 0.5474747 0.1052608 0.36217 0.4244918 -0.5240734 -0.3651792 0.4972335 0.5637105 -0.6805457 -0.2803345 0.5656428 -0.3690486 0.5512597 -0.1002934 -0.01492847 -0.2484019 -0.4581889## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 21.57808 5.10984 4.223 2.41e-05 ***
## loneliness_state_pmc -9.59495 2.91452 -3.292 0.000994 ***
## socintsatisfaction_state_pmc 1.91260 NaN NaN NaN
## responsiveness_state_pmc -1.09183 3.59059 -0.304 0.761067
## depressedmood_state 0.12167 0.20092 0.606 0.544799
## loneliness_state_pmc -0.39649 0.15505 -2.557 0.010553 *
## socintsatisfaction_state_pmc -0.14173 0.14603 -0.971 0.331777
## responsiveness_state_pmc 0.31074 0.12873 2.414 0.015781 *
## depressedmood_state 0.47922 0.09624 4.979 6.38e-07 ***
## loneliness_state_pmc -0.66529 0.09276 -7.172 7.38e-13 ***
## socintsatisfaction_state_pmc -0.64092 0.18841 -3.402 0.000670 ***
## responsiveness_state_pmc 0.61136 0.08447 7.238 4.57e-13 ***
## depressedmood_state -0.07631 NaN NaN NaN
## loneliness_state_pmc -0.32430 0.31573 -1.027 0.304354
## socintsatisfaction_state_pmc 0.32714 NaN NaN NaN
## responsiveness_state_pmc -0.35999 0.29689 -1.213 0.225297
## depressedmood_state 0.04345 0.14655 0.296 0.766868
## loneliness_state_pmc 0.14689 NaN NaN NaN
## socintsatisfaction_state_pmc 0.44320 0.13795 3.213 0.001315 **
## responsiveness_state_pmc 0.54747 0.14276 3.835 0.000126 ***
## 0.10526 0.14478 0.727 0.467190
## 0.36217 0.16036 2.258 0.023915 *
## 0.42449 0.20769 2.044 0.040969 *
## -0.52407 0.23021 -2.276 0.022818 *
## -0.36518 NaN NaN NaN
## 0.49723 NaN NaN NaN
## 0.56371 0.16937 3.328 0.000874 ***
## -0.68055 0.10985 -6.195 5.82e-10 ***
## -0.28033 NaN NaN NaN
## 0.56564 0.21828 2.591 0.009561 **
## -0.36905 NaN NaN NaN
## 0.55126 0.41187 1.338 0.180758
## -0.10029 NaN NaN NaN
## -0.01493 NaN NaN NaN
## -0.24840 0.15401 -1.613 0.106775
## -0.45819 0.22408 -2.045 0.040881 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 21.57808 -9.594952 1.912596 -1.091828
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1217 -0.396 -0.142 0.311
## [2,] 0.4792 -0.665 -0.641 0.611
## [3,] -0.0763 -0.324 0.327 -0.360
## [4,] 0.0434 0.147 0.443 0.547
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.105 -0.3622 -0.424 0.524
## [2,] 0.365 -0.4972 -0.564 0.681
## [3,] 0.280 -0.5656 0.369 -0.551
## [4,] 0.100 0.0149 0.248 0.458
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 191.62646 153.6215 -69.87302 -69.39943
## [2,] 153.62154 281.1419 -136.62791 -127.73980
## [3,] -69.87302 -136.6279 270.74314 117.65079
## [4,] -69.39943 -127.7398 117.65079 238.07837
## ----
## aic= 21.77086
## bic= 22.92723
## Number of parameters: 36
## initial estimates: 12.4424 -1.2612 1.0345 2.2623 -0.0177 0.0428 -0.2067 0.1429 -0.1865 0.001 -0.0795 -0.0063 0.2155 0.4188 0.5025 0.0326 0.1009 0.3484 0.2653 -0.0155 0.151 -0.2142 0.1624 -0.1087 0.372 -0.1807 -0.0828 0.2235 -0.4716 -0.9695 -0.4806 -0.2153 -0.6095 -0.5291 -0.6876 0.2882
## Par. lower-bounds: 7.2682 -6.7382 -6.2685 -4.9567 -0.3636 -0.2747 -0.4382 -0.1447 -0.5526 -0.3351 -0.3247 -0.3107 -0.2727 -0.0293 0.1757 -0.3733 -0.3818 -0.0946 -0.0578 -0.4168 -0.5035 -0.8387 -0.3488 -0.5537 -0.3208 -0.8418 -0.6239 -0.2476 -1.3954 -1.851 -1.2022 -0.8434 -1.5226 -1.4005 -1.4009 -0.3327
## Par. upper-bounds: 17.6166 4.2157 8.3375 9.4814 0.3282 0.3603 0.0249 0.4306 0.1797 0.3371 0.1656 0.2982 0.7037 0.8669 0.8294 0.4386 0.5835 0.7914 0.5884 0.3858 0.8055 0.4104 0.6737 0.3363 1.0648 0.4803 0.4584 0.6945 0.4521 -0.088 0.241 0.4128 0.3037 0.3422 0.0257 0.9091
## Final Estimates: 12.47472 -1.289755 0.9441798 2.228137 0.1230803 0.05338962 -0.1305552 -0.1447075 0.1010615 0.3350173 -0.2261211 0.02623818 -0.09560958 0.4226843 0.8275403 0.438604 -0.129364 0.2542604 0.5398497 0.1060842 0.0487864 0.1131145 -0.03941833 0.2590745 0.0256152 -0.1642145 -0.03431062 0.03777498 0.1269768 -0.7394333 -0.8269341 -0.3002931 -0.1006779 -0.2702628 -0.6581458 0.1391922## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 12.47472 10.50891 1.187 0.235
## loneliness_state_pmc -1.28975 5.77005 -0.224 0.823
## socintsatisfaction_state_pmc 0.94418 2.76023 0.342 0.732
## responsiveness_state_pmc 2.22814 NaN NaN NaN
## depressedmood_state 0.12308 0.73517 0.167 0.867
## loneliness_state_pmc 0.05339 0.74858 0.071 0.943
## socintsatisfaction_state_pmc -0.13056 0.18148 -0.719 0.472
## responsiveness_state_pmc -0.14471 NaN NaN NaN
## depressedmood_state 0.10106 0.41089 0.246 0.806
## loneliness_state_pmc 0.33502 0.30138 1.112 0.266
## socintsatisfaction_state_pmc -0.22612 NaN NaN NaN
## responsiveness_state_pmc 0.02624 NaN NaN NaN
## depressedmood_state -0.09561 0.17801 -0.537 0.591
## loneliness_state_pmc 0.42268 0.27636 1.529 0.126
## socintsatisfaction_state_pmc 0.82754 NaN NaN NaN
## responsiveness_state_pmc 0.43860 NaN NaN NaN
## depressedmood_state -0.12936 NaN NaN NaN
## loneliness_state_pmc 0.25426 NaN NaN NaN
## socintsatisfaction_state_pmc 0.53985 NaN NaN NaN
## responsiveness_state_pmc 0.10608 NaN NaN NaN
## 0.04879 0.73155 0.067 0.947
## 0.11311 0.70221 0.161 0.872
## -0.03942 NaN NaN NaN
## 0.25907 NaN NaN NaN
## 0.02562 0.46898 0.055 0.956
## -0.16421 0.12864 -1.277 0.202
## -0.03431 NaN NaN NaN
## 0.03777 NaN NaN NaN
## 0.12698 0.15150 0.838 0.402
## -0.73943 0.34476 -2.145 0.032 *
## -0.82693 NaN NaN NaN
## -0.30029 NaN NaN NaN
## -0.10068 0.10026 -1.004 0.315
## -0.27026 NaN NaN NaN
## -0.65815 NaN NaN NaN
## 0.13919 NaN NaN NaN
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 12.47472 -1.289755 0.9441798 2.228137
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1231 0.0534 -0.131 -0.1447
## [2,] 0.1011 0.3350 -0.226 0.0262
## [3,] -0.0956 0.4227 0.828 0.4386
## [4,] -0.1294 0.2543 0.540 0.1061
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.0488 -0.113 0.0394 -0.2591
## [2,] -0.0256 0.164 0.0343 -0.0378
## [3,] -0.1270 0.739 0.8269 0.3003
## [4,] 0.1007 0.270 0.6581 -0.1392
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 79.12439 49.35474 -43.41572 -34.89307
## [2,] 49.35474 100.80688 -54.66243 -39.19257
## [3,] -43.41572 -54.66243 162.58308 92.88668
## [4,] -34.89307 -39.19257 92.88668 140.35415
## ----
## aic= 18.95
## bic= 20.10637
## Number of parameters: 36
## initial estimates: 17.3837 -1.6698 12.0111 6.7224 0.2603 -0.2663 0.0502 -0.173 0.0284 -0.331 -0.0108 -0.1641 -0.4166 0.2643 -0.2684 0.4328 -0.2756 0.3801 -0.0726 0.3381 -0.3156 0.7549 -0.4009 0.5706 0.1547 -0.2625 -0.6297 0.2193 0.389 -0.4702 0.496 -1.0209 0.4437 -0.4691 0.6721 -1.2002
## Par. lower-bounds: 6.9549 -11.9044 1.1337 -3.0325 -0.1342 -0.6319 -0.3156 -0.4884 -0.3588 -0.6898 -0.3698 -0.4736 -0.8281 -0.1171 -0.65 0.1039 -0.6447 0.0381 -0.4148 0.0432 -1.2464 -0.071 -1.1902 -0.582 -0.7588 -1.073 -1.4044 -0.9119 -0.5819 -1.3317 -0.3273 -2.2232 -0.427 -1.2417 -0.0663 -2.2784
## Par. upper-bounds: 27.8125 8.5648 22.8885 16.4773 0.6548 0.0993 0.4161 0.1423 0.4156 0.0278 0.3483 0.1453 -0.0051 0.6456 0.1132 0.7617 0.0934 0.7221 0.2696 0.6331 0.6152 1.5809 0.3885 1.7233 1.0682 0.5481 0.1449 1.3505 1.3598 0.3912 1.3193 0.1813 1.3144 0.3035 1.4104 -0.122
## Final Estimates: 17.19849 -1.864375 12.07322 5.725176 0.2952453 -0.6319174 -0.01741932 -0.4883647 0.0807741 -0.1808477 -0.2888347 -0.3174367 -0.4682928 0.6456271 -0.176683 0.7616772 -0.1757924 0.557774 0.1461649 0.14937 -0.3236015 0.7757893 -0.06560876 0.5464349 -0.1545143 -0.1528093 0.005041161 0.4395633 0.05933939 -0.5360766 0.06615498 -0.7617059 -0.0387475 -0.2622273 0.08317306 -0.1220099## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 17.198493 NaN NaN NaN
## loneliness_state_pmc -1.864375 2.327081 -0.801 0.4230
## socintsatisfaction_state_pmc 12.073218 NaN NaN NaN
## responsiveness_state_pmc 5.725176 NaN NaN NaN
## depressedmood_state 0.295245 NaN NaN NaN
## loneliness_state_pmc -0.631917 NaN NaN NaN
## socintsatisfaction_state_pmc -0.017419 0.332489 -0.052 0.9582
## responsiveness_state_pmc -0.488365 0.238672 -2.046 0.0407 *
## depressedmood_state 0.080774 0.084394 0.957 0.3385
## loneliness_state_pmc -0.180848 0.327278 -0.553 0.5806
## socintsatisfaction_state_pmc -0.288835 0.273520 -1.056 0.2910
## responsiveness_state_pmc -0.317437 0.444729 -0.714 0.4754
## depressedmood_state -0.468293 NaN NaN NaN
## loneliness_state_pmc 0.645627 0.366524 1.761 0.0782 .
## socintsatisfaction_state_pmc -0.176683 NaN NaN NaN
## responsiveness_state_pmc 0.761677 NaN NaN NaN
## depressedmood_state -0.175792 NaN NaN NaN
## loneliness_state_pmc 0.557774 NaN NaN NaN
## socintsatisfaction_state_pmc 0.146165 0.252931 0.578 0.5633
## responsiveness_state_pmc 0.149370 0.242407 0.616 0.5378
## -0.323602 NaN NaN NaN
## 0.775789 NaN NaN NaN
## -0.065609 0.360960 -0.182 0.8558
## 0.546435 NaN NaN NaN
## -0.154514 NaN NaN NaN
## -0.152809 NaN NaN NaN
## 0.005041 0.154831 0.033 0.9740
## 0.439563 0.415554 1.058 0.2902
## 0.059339 NaN NaN NaN
## -0.536077 0.335811 -1.596 0.1104
## 0.066155 NaN NaN NaN
## -0.761706 NaN NaN NaN
## -0.038748 NaN NaN NaN
## -0.262227 NaN NaN NaN
## 0.083173 NaN NaN NaN
## -0.122010 0.303763 -0.402 0.6879
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 17.19849 -1.864375 12.07322 5.725176
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.2952 -0.632 -0.0174 -0.488
## [2,] 0.0808 -0.181 -0.2888 -0.317
## [3,] -0.4683 0.646 -0.1767 0.762
## [4,] -0.1758 0.558 0.1462 0.149
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.3236 -0.776 0.06561 -0.546
## [2,] 0.1545 0.153 -0.00504 -0.440
## [3,] -0.0593 0.536 -0.06615 0.762
## [4,] 0.0387 0.262 -0.08317 0.122
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 225.7772 149.4923 -120.1269 -108.7248
## [2,] 149.4923 220.1287 -168.1037 -105.1372
## [3,] -120.1269 -168.1037 294.4314 169.6569
## [4,] -108.7248 -105.1372 169.6569 227.5568
## ----
## aic= 21.14208
## bic= 22.29845
## Number of parameters: 36
## initial estimates: 6.8944 -23.5593 12.1859 14.8319 0.7628 -0.1277 0.1653 -0.151 0.649 -0.1143 0.0888 0.0671 -0.3801 0.1028 0.0265 0.2355 -0.4586 0.1761 -0.1348 0.2026 -0.7187 0.6355 0.6242 -0.796 -0.2187 -0.2302 0.1158 -0.1149 -0.3325 0.1999 0.1611 -0.6966 -0.0546 -0.0077 0.3884 -0.383
## Par. lower-bounds: -7.2978 -36.76 -6.7782 0.6518 0.3544 -0.5817 -0.2012 -0.5695 0.2692 -0.5366 -0.2521 -0.3221 -0.9258 -0.5039 -0.4633 -0.3237 -0.8666 -0.2775 -0.501 -0.2155 -1.7894 -0.6646 -0.2265 -2.0824 -1.2146 -1.4395 -0.6755 -1.3115 -1.7632 -1.5375 -0.9756 -2.4156 -1.1244 -1.3068 -0.4616 -1.6683
## Par. upper-bounds: 21.0865 -10.3586 31.15 29.0121 1.1711 0.3264 0.5318 0.2674 1.0289 0.308 0.4298 0.4563 0.1655 0.7095 0.5163 0.7946 -0.0506 0.6298 0.2314 0.6207 0.352 1.9357 1.4749 0.4904 0.7772 0.9792 0.907 1.0816 1.0982 1.9372 1.2979 1.0223 1.0151 1.2913 1.2384 0.9023
## Final Estimates: 6.895296 -23.60338 12.14728 14.8422 0.8013736 -0.3053613 -0.2001955 -0.1188577 0.6509467 -0.2149983 -0.03461042 0.3464737 -0.3596154 0.1635413 -0.4101712 0.7930185 -0.4230012 -0.06767492 -0.5007642 -0.1258117 0.04559402 0.3206501 0.6457467 0.04132051 -0.154491 0.180215 0.2121057 -0.311982 -0.4438239 -0.06835605 0.2535298 -1.099441 -0.110765 0.2723877 0.6702523 -0.02127012## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 6.89530 5.23649 1.317 0.187913
## loneliness_state_pmc -23.60338 NaN NaN NaN
## socintsatisfaction_state_pmc 12.14728 5.16334 2.353 0.018643 *
## responsiveness_state_pmc 14.84220 4.63465 3.202 0.001363 **
## depressedmood_state 0.80137 0.13669 5.863 4.56e-09 ***
## loneliness_state_pmc -0.30536 0.36005 -0.848 0.396373
## socintsatisfaction_state_pmc -0.20020 NaN NaN NaN
## responsiveness_state_pmc -0.11886 0.13799 -0.861 0.389030
## depressedmood_state 0.65095 NaN NaN NaN
## loneliness_state_pmc -0.21500 NaN NaN NaN
## socintsatisfaction_state_pmc -0.03461 NaN NaN NaN
## responsiveness_state_pmc 0.34647 0.20108 1.723 0.084875 .
## depressedmood_state -0.35962 0.13518 -2.660 0.007806 **
## loneliness_state_pmc 0.16354 0.17345 0.943 0.345743
## socintsatisfaction_state_pmc -0.41017 0.12181 -3.367 0.000759 ***
## responsiveness_state_pmc 0.79302 0.17577 4.512 6.43e-06 ***
## depressedmood_state -0.42300 0.12416 -3.407 0.000657 ***
## loneliness_state_pmc -0.06767 NaN NaN NaN
## socintsatisfaction_state_pmc -0.50076 NaN NaN NaN
## responsiveness_state_pmc -0.12581 0.12938 -0.972 0.330840
## 0.04559 0.10086 0.452 0.651223
## 0.32065 0.24249 1.322 0.186060
## 0.64575 NaN NaN NaN
## 0.04132 NaN NaN NaN
## -0.15449 NaN NaN NaN
## 0.18021 NaN NaN NaN
## 0.21211 NaN NaN NaN
## -0.31198 NaN NaN NaN
## -0.44382 NaN NaN NaN
## -0.06836 NaN NaN NaN
## 0.25353 0.07162 3.540 0.000400 ***
## -1.09944 0.09785 -11.236 < 2e-16 ***
## -0.11077 NaN NaN NaN
## 0.27239 NaN NaN NaN
## 0.67025 0.07553 8.874 < 2e-16 ***
## -0.02127 0.08062 -0.264 0.791912
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 6.895296 -23.60338 12.14728 14.8422
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.801 -0.3054 -0.2002 -0.119
## [2,] 0.651 -0.2150 -0.0346 0.346
## [3,] -0.360 0.1635 -0.4102 0.793
## [4,] -0.423 -0.0677 -0.5008 -0.126
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.0456 -0.3207 -0.646 -0.0413
## [2,] 0.1545 -0.1802 -0.212 0.3120
## [3,] 0.4438 0.0684 -0.254 1.0994
## [4,] 0.1108 -0.2724 -0.670 0.0213
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 197.5672 135.9089 -173.1365 -144.6981
## [2,] 135.9089 160.4841 -154.5058 -110.7775
## [3,] -173.1365 -154.5058 325.8841 196.3536
## [4,] -144.6981 -110.7775 196.3536 201.2634
## ----
## aic= 19.77574
## bic= 20.93211
## Number of parameters: 36
## initial estimates: 22.0273 -2.5901 -1.2818 -3.159 0.1742 0.5378 0.1859 0.1144 0.1403 0.3492 0.0916 0.0327 -0.0982 -0.4284 0.1786 -0.4006 0.0777 -0.3664 0.1899 -0.1717 -0.5116 -0.4575 -0.5137 -0.4268 -0.448 -0.5275 -0.2712 -0.5395 1.1084 3e-04 0.0021 0.9803 0.5042 0.2459 0.0543 0.6407
## Par. lower-bounds: 10.2684 -12.3215 -15.9691 -14.3152 -0.2681 -0.0162 -0.1936 -0.3098 -0.2258 -0.1093 -0.2225 -0.3183 -0.6507 -1.1204 -0.2955 -0.9304 -0.3419 -0.8921 -0.1702 -0.5742 -1.4987 -1.8937 -1.2372 -1.7185 -1.2649 -1.7161 -0.87 -1.6085 -0.1245 -1.7936 -0.9017 -0.6331 -0.4322 -1.1167 -0.6322 -0.5848
## Par. upper-bounds: 33.7863 7.1413 13.4055 7.9972 0.6165 1.0919 0.5655 0.5385 0.5063 0.8077 0.4057 0.3837 0.4542 0.2636 0.6526 0.1292 0.4973 0.1592 0.55 0.2307 0.4754 0.9788 0.2099 0.865 0.3689 0.6611 0.3276 0.5295 2.3413 1.7942 0.9059 2.5938 1.4407 1.6085 0.7408 1.8663
## Final Estimates: 22.07924 -2.602259 -1.182613 -3.066492 0.1558248 1.074255 0.4772468 -0.3097957 0.1063992 0.5983086 -0.2224803 0.2409873 -0.03300168 -0.519648 0.2231493 -0.4850492 0.06615687 -0.1304845 0.5362616 -0.5731968 -0.09136094 -0.6844781 -0.4901536 0.5203491 -0.1545721 -0.3685659 0.1738118 -0.1384212 0.2821737 0.02130276 0.1560785 -0.0118482 0.1671539 -0.3013673 -0.3804741 0.3643807
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 22.07924 6.53153 3.380 0.000724 ***
## loneliness_state_pmc -2.60226 9.09087 -0.286 0.774687
## socintsatisfaction_state_pmc -1.18261 5.70739 -0.207 0.835848
## responsiveness_state_pmc -3.06649 13.80380 -0.222 0.824198
## depressedmood_state 0.15582 0.23531 0.662 0.507833
## loneliness_state_pmc 1.07425 0.95184 1.129 0.259063
## socintsatisfaction_state_pmc 0.47725 0.80771 0.591 0.554613
## responsiveness_state_pmc -0.30980 0.83871 -0.369 0.711851
## depressedmood_state 0.10640 0.35413 0.300 0.763832
## loneliness_state_pmc 0.59831 0.72252 0.828 0.407619
## socintsatisfaction_state_pmc -0.22248 1.05005 -0.212 0.832204
## responsiveness_state_pmc 0.24099 1.51566 0.159 0.873670
## depressedmood_state -0.03300 0.23349 -0.141 0.887601
## loneliness_state_pmc -0.51965 1.83955 -0.282 0.777571
## socintsatisfaction_state_pmc 0.22315 1.10106 0.203 0.839395
## responsiveness_state_pmc -0.48505 0.69918 -0.694 0.487844
## depressedmood_state 0.06616 0.56308 0.117 0.906471
## loneliness_state_pmc -0.13048 0.76051 -0.172 0.863772
## socintsatisfaction_state_pmc 0.53626 0.97277 0.551 0.581447
## responsiveness_state_pmc -0.57320 0.40023 -1.432 0.152098
## -0.09136 0.35831 -0.255 0.798738
## -0.68448 1.06359 -0.644 0.519863
## -0.49015 0.93303 -0.525 0.599349
## 0.52035 0.88589 0.587 0.556950
## -0.15457 0.40475 -0.382 0.702536
## -0.36857 0.69035 -0.534 0.593425
## 0.17381 1.10844 0.157 0.875396
## -0.13842 1.55557 -0.089 0.929095
## 0.28217 0.32389 0.871 0.383637
## 0.02130 2.09585 0.010 0.991890
## 0.15608 1.21219 0.129 0.897550
## -0.01185 0.75944 -0.016 0.987552
## 0.16715 0.68559 0.244 0.807377
## -0.30137 0.86401 -0.349 0.727239
## -0.38047 1.15368 -0.330 0.741556
## 0.36438 0.50714 0.719 0.472446
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 22.07924 -2.602259 -1.182613 -3.066492
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1558 1.074 0.477 -0.310
## [2,] 0.1064 0.598 -0.222 0.241
## [3,] -0.0330 -0.520 0.223 -0.485
## [4,] 0.0662 -0.130 0.536 -0.573
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0914 0.6845 0.490 -0.5203
## [2,] 0.1546 0.3686 -0.174 0.1384
## [3,] -0.2822 -0.0213 -0.156 0.0118
## [4,] -0.1672 0.3014 0.380 -0.3644
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 219.9675 148.3578 -192.5708 -136.8691
## [2,] 148.3578 181.2064 -183.4660 -127.8030
## [3,] -192.5708 -183.4660 398.8422 222.3755
## [4,] -136.8691 -127.8030 222.3755 227.0492
## ----
## aic= 20.6365
## bic= 21.79287
## Number of parameters: 36
## initial estimates: 35.0103 6.2206 -3.8812 -10.638 0.1123 0.1497 -0.0179 -0.2076 -0.1513 -0.0413 -0.0594 -0.2512 0.2021 0.2034 0.4901 -0.0362 0.2858 0.0322 0.0769 0.2871 -0.2815 0.3394 -0.0012 0.7167 0.0199 0.6233 0.1742 0.1104 -1.1559 -0.3748 -0.5861 0.4113 -0.572 0.2585 0.0581 -0.255
## Par. lower-bounds: 22.5804 -4.4497 -24.5793 -21.1703 -0.193 -0.2674 -0.1961 -0.63 -0.4134 -0.3994 -0.2124 -0.6139 -0.3063 -0.4911 0.1932 -0.7397 0.0271 -0.3212 -0.0742 -0.0708 -1.028 -0.4083 -0.4466 -0.1803 -0.6209 -0.0185 -0.2082 -0.6595 -2.3989 -1.6199 -1.3278 -1.0823 -1.2045 -0.375 -0.3193 -1.015
## Par. upper-bounds: 47.4403 16.8908 16.8169 -0.1057 0.4176 0.5668 0.1604 0.2149 0.1108 0.3167 0.0936 0.1114 0.7105 0.898 0.7869 0.6673 0.5444 0.3856 0.228 0.6451 0.465 1.0872 0.4442 1.6136 0.6607 1.2652 0.5565 0.8804 0.0872 0.8703 0.1556 1.9048 0.0605 0.8921 0.4355 0.505
## Final Estimates: 35.14822 6.023335 -4.241888 -9.833831 0.05821882 -0.2673554 0.08354625 -0.6300137 -0.1372737 -0.1703271 -0.1430901 0.1114247 0.1560461 0.1086086 0.3768583 0.6672673 0.2383413 -0.2270492 0.04302978 0.01945368 0.03069802 0.6160546 -0.01847631 0.7132003 -0.1762703 0.3808805 0.1808523 -0.3266603 -0.2202075 0.211112 0.1555857 -0.783319 -0.04666177 0.377571 0.05568115 0.2758895## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 35.14822 NaN NaN NaN
## loneliness_state_pmc 6.02333 4.68862 1.285 0.19891
## socintsatisfaction_state_pmc -4.24189 11.55092 -0.367 0.71344
## responsiveness_state_pmc -9.83383 NaN NaN NaN
## depressedmood_state 0.05822 NaN NaN NaN
## loneliness_state_pmc -0.26736 0.39851 -0.671 0.50229
## socintsatisfaction_state_pmc 0.08355 0.16467 0.507 0.61192
## responsiveness_state_pmc -0.63001 0.22571 -2.791 0.00525 **
## depressedmood_state -0.13727 0.12548 -1.094 0.27395
## loneliness_state_pmc -0.17033 0.37641 -0.453 0.65091
## socintsatisfaction_state_pmc -0.14309 0.07417 -1.929 0.05371 .
## responsiveness_state_pmc 0.11142 0.29604 0.376 0.70663
## depressedmood_state 0.15605 0.27809 0.561 0.57471
## loneliness_state_pmc 0.10861 NaN NaN NaN
## socintsatisfaction_state_pmc 0.37686 NaN NaN NaN
## responsiveness_state_pmc 0.66727 0.46512 1.435 0.15140
## depressedmood_state 0.23834 NaN NaN NaN
## loneliness_state_pmc -0.22705 NaN NaN NaN
## socintsatisfaction_state_pmc 0.04303 NaN NaN NaN
## responsiveness_state_pmc 0.01945 0.14248 0.137 0.89140
## 0.03070 NaN NaN NaN
## 0.61605 0.35185 1.751 0.07996 .
## -0.01848 0.16753 -0.110 0.91218
## 0.71320 NaN NaN NaN
## -0.17627 0.05910 -2.982 0.00286 **
## 0.38088 0.51642 0.738 0.46079
## 0.18085 0.08587 2.106 0.03519 *
## -0.32666 0.29067 -1.124 0.26110
## -0.22021 0.33196 -0.663 0.50710
## 0.21111 0.09382 2.250 0.02444 *
## 0.15559 NaN NaN NaN
## -0.78332 0.64521 -1.214 0.22473
## -0.04666 NaN NaN NaN
## 0.37757 NaN NaN NaN
## 0.05568 0.09299 0.599 0.54932
## 0.27589 0.04366 6.320 2.62e-10 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 35.14822 6.023335 -4.241888 -9.833831
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0582 -0.267 0.0835 -0.6300
## [2,] -0.1373 -0.170 -0.1431 0.1114
## [3,] 0.1560 0.109 0.3769 0.6673
## [4,] 0.2383 -0.227 0.0430 0.0195
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.0307 -0.616 0.0185 -0.713
## [2,] 0.1763 -0.381 -0.1809 0.327
## [3,] 0.2202 -0.211 -0.1556 0.783
## [4,] 0.0467 -0.378 -0.0557 -0.276
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 168.65045 55.73129 -18.05945 -22.90806
## [2,] 55.73129 116.58455 -80.85629 -49.79125
## [3,] -18.05945 -80.85629 509.09840 121.52166
## [4,] -22.90806 -49.79125 121.52166 138.71620
## ----
## aic= 21.46436
## bic= 22.62073
## Number of parameters: 36
## initial estimates: 27.6239 4.1125 -2.3085 -5.6143 0.6695 0.0498 -0.0643 0.0813 -0.0854 0.4732 -0.1236 -0.1156 0.0265 0.1252 1.0462 -0.1524 0.0686 0.0605 0.1915 0.6562 -0.9093 -0.0262 -0.2319 -0.1788 0.1947 -0.6466 0.2131 -1.2762 0.2568 -0.2055 -0.1451 0.5651 -0.0514 -0.1607 0.2334 -0.4512
## Par. lower-bounds: 9.4411 -39.9712 -27.3014 -24.343 0.4533 -0.0662 -0.2179 -0.1722 -0.6094 0.1919 -0.4959 -0.7301 -0.2706 -0.0343 0.8352 -0.5008 -0.1541 -0.0591 0.0334 0.3951 -1.5496 -0.339 -1.1497 -1.1144 -1.3576 -1.4052 -2.0121 -3.5446 -0.6233 -0.6356 -1.4066 -0.7209 -0.7109 -0.483 -0.712 -1.4149
## Par. upper-bounds: 45.8066 48.1963 22.6844 13.1145 0.8856 0.1659 0.0892 0.3347 0.4387 0.7546 0.2487 0.4989 0.3237 0.2847 1.2573 0.1959 0.2912 0.18 0.3497 0.9173 -0.269 0.2867 0.686 0.7568 1.747 0.1119 2.4383 0.9921 1.1369 0.2245 1.1165 1.8512 0.6081 0.1615 1.1788 0.5125
## Final Estimates: 27.5938 4.120099 -2.286489 -5.659347 0.6716919 0.06388151 -0.05267385 0.09196183 -0.07642925 0.5400227 -0.1215892 -0.03954912 0.02381944 0.244896 1.048514 -0.1322387 0.06313073 0.002726403 0.08163826 0.7945502 -0.3639209 0.002239944 -0.1419146 -0.0669705 0.08129311 -0.3661153 0.2628529 -1.147665 0.1343406 -0.2408893 0.02277157 0.539199 0.01925082 0.04122156 0.2528281 -0.2224117## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 27.593799 6.336928 4.354 1.33e-05 ***
## loneliness_state_pmc 4.120099 NaN NaN NaN
## socintsatisfaction_state_pmc -2.286489 NaN NaN NaN
## responsiveness_state_pmc -5.659347 NaN NaN NaN
## depressedmood_state 0.671692 0.077201 8.701 < 2e-16 ***
## loneliness_state_pmc 0.063882 NaN NaN NaN
## socintsatisfaction_state_pmc -0.052674 0.030422 -1.731 0.0834 .
## responsiveness_state_pmc 0.091962 NaN NaN NaN
## depressedmood_state -0.076429 NaN NaN NaN
## loneliness_state_pmc 0.540023 0.222422 2.428 0.0152 *
## socintsatisfaction_state_pmc -0.121589 0.068188 -1.783 0.0746 .
## responsiveness_state_pmc -0.039549 0.124789 -0.317 0.7513
## depressedmood_state 0.023819 NaN NaN NaN
## loneliness_state_pmc 0.244896 0.207982 1.177 0.2390
## socintsatisfaction_state_pmc 1.048514 0.104308 10.052 < 2e-16 ***
## responsiveness_state_pmc -0.132239 0.249713 -0.530 0.5964
## depressedmood_state 0.063131 NaN NaN NaN
## loneliness_state_pmc 0.002726 0.103781 0.026 0.9790
## socintsatisfaction_state_pmc 0.081638 0.078366 1.042 0.2975
## responsiveness_state_pmc 0.794550 0.143664 5.531 3.19e-08 ***
## -0.363921 0.090459 -4.023 5.74e-05 ***
## 0.002240 NaN NaN NaN
## -0.141915 NaN NaN NaN
## -0.066970 NaN NaN NaN
## 0.081293 0.144226 0.564 0.5730
## -0.366115 0.236441 -1.548 0.1215
## 0.262853 0.188402 1.395 0.1630
## -1.147665 NaN NaN NaN
## 0.134341 NaN NaN NaN
## -0.240889 0.209981 -1.147 0.2513
## 0.022772 0.213734 0.107 0.9152
## 0.539199 0.317929 1.696 0.0899 .
## 0.019251 NaN NaN NaN
## 0.041222 0.119040 0.346 0.7291
## 0.252828 0.099205 2.549 0.0108 *
## -0.222412 0.191756 -1.160 0.2461
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 27.5938 4.120099 -2.286489 -5.659347
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.6717 0.06388 -0.0527 0.0920
## [2,] -0.0764 0.54002 -0.1216 -0.0395
## [3,] 0.0238 0.24490 1.0485 -0.1322
## [4,] 0.0631 0.00273 0.0816 0.7946
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.3639 -0.00224 0.1419 0.067
## [2,] -0.0813 0.36612 -0.2629 1.148
## [3,] -0.1343 0.24089 -0.0228 -0.539
## [4,] -0.0193 -0.04122 -0.2528 0.222
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 41.091163 21.752900 -3.772892 -5.126754
## [2,] 21.752900 198.485572 1.035508 -7.714672
## [3,] -3.772892 1.035508 49.961509 29.135168
## [4,] -5.126754 -7.714672 29.135168 34.399833
## ----
## aic= 16.70921
## bic= 17.86558
## Number of parameters: 36
## initial estimates: 17.6806 6.2266 6.8 -1.0563 -0.1746 0.0517 -0.2135 -0.077 -0.3139 0.4348 -0.1367 -0.2986 -0.2626 -0.1686 0.2802 -0.0142 0.0868 -0.1452 -0.0858 0.6131 0.4121 -0.1703 -0.4992 0.9161 0.4925 -0.1401 -0.1422 1.0278 -0.0856 0.5461 0.4928 -0.746 -0.0311 0.4137 0.4438 -0.9306
## Par. lower-bounds: 11.9649 -1.0998 -1.2135 -8.4339 -0.513 -0.1851 -0.4649 -0.3352 -0.7476 0.1313 -0.4589 -0.6295 -0.737 -0.5006 -0.0722 -0.3762 -0.35 -0.4509 -0.4103 0.2798 -0.2325 -0.6236 -1.1306 0.0869 -0.3338 -0.7211 -0.9514 -0.0351 -0.9894 -0.0894 -0.3923 -1.9086 -0.8632 -0.1713 -0.3711 -2.0009
## Par. upper-bounds: 23.3962 13.5531 14.8134 6.3212 0.1638 0.2885 0.0378 0.1812 0.1199 0.7383 0.1855 0.0324 0.2118 0.1634 0.6326 0.3477 0.5235 0.1604 0.2386 0.9464 1.0567 0.2829 0.1321 1.7453 1.3188 0.4408 0.6671 2.0907 0.8182 1.1815 1.378 0.4165 0.801 0.9987 1.2587 0.1397
## Final Estimates: 17.50705 6.262891 6.825199 -1.078512 -0.1878159 0.04452905 0.03781352 -0.292423 -0.3684089 0.7382895 0.02395872 -0.3647938 -0.557082 0.09957668 0.5668574 0.3477364 0.05325146 -0.3986295 -0.2025585 0.8197066 -0.1609294 0.03004733 -0.5046387 0.3900088 0.2314189 -0.3920333 -0.1762358 0.4214379 0.8182211 -0.08939703 0.06111989 -0.9895129 0.3240739 0.4913777 0.5753825 -0.8397846## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 17.50705 2.32768 7.521 5.42e-14 ***
## loneliness_state_pmc 6.26289 5.64874 1.109 0.26755
## socintsatisfaction_state_pmc 6.82520 6.25558 1.091 0.27525
## responsiveness_state_pmc -1.07851 2.65039 -0.407 0.68406
## depressedmood_state -0.18782 0.14088 -1.333 0.18247
## loneliness_state_pmc 0.04453 NaN NaN NaN
## socintsatisfaction_state_pmc 0.03781 0.06997 0.540 0.58889
## responsiveness_state_pmc -0.29242 NaN NaN NaN
## depressedmood_state -0.36841 0.39423 -0.934 0.35005
## loneliness_state_pmc 0.73829 0.28201 2.618 0.00885 **
## socintsatisfaction_state_pmc 0.02396 0.08087 0.296 0.76704
## responsiveness_state_pmc -0.36479 0.16021 -2.277 0.02279 *
## depressedmood_state -0.55708 0.42556 -1.309 0.19052
## loneliness_state_pmc 0.09958 0.38683 0.257 0.79686
## socintsatisfaction_state_pmc 0.56686 0.12472 4.545 5.49e-06 ***
## responsiveness_state_pmc 0.34774 0.13249 2.625 0.00868 **
## depressedmood_state 0.05325 0.12649 0.421 0.67376
## loneliness_state_pmc -0.39863 0.21262 -1.875 0.06081 .
## socintsatisfaction_state_pmc -0.20256 0.09923 -2.041 0.04123 *
## responsiveness_state_pmc 0.81971 0.21047 3.895 9.83e-05 ***
## -0.16093 0.11488 -1.401 0.16125
## 0.03005 NaN NaN NaN
## -0.50464 0.11926 -4.232 2.32e-05 ***
## 0.39001 NaN NaN NaN
## 0.23142 0.30292 0.764 0.44489
## -0.39203 0.34924 -1.123 0.26163
## -0.17624 0.17026 -1.035 0.30061
## 0.42144 0.25533 1.651 0.09883 .
## 0.81822 0.31312 2.613 0.00897 **
## -0.08940 0.37041 -0.241 0.80929
## 0.06112 0.15828 0.386 0.69938
## -0.98951 0.16325 -6.061 1.35e-09 ***
## 0.32407 NaN NaN NaN
## 0.49138 0.24317 2.021 0.04331 *
## 0.57538 0.12478 4.611 4.00e-06 ***
## -0.83978 0.26797 -3.134 0.00173 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 17.50705 6.262891 6.825199 -1.078512
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.1878 0.0445 0.0378 -0.292
## [2,] -0.3684 0.7383 0.0240 -0.365
## [3,] -0.5571 0.0996 0.5669 0.348
## [4,] 0.0533 -0.3986 -0.2026 0.820
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.161 -0.0300 0.5046 -0.390
## [2,] -0.231 0.3920 0.1762 -0.421
## [3,] -0.818 0.0894 -0.0611 0.990
## [4,] -0.324 -0.4914 -0.5754 0.840
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 134.60530 71.52301 -27.69624 -47.90169
## [2,] 71.52301 190.85746 -43.42845 -21.78252
## [3,] -27.69624 -43.42845 213.44143 90.12314
## [4,] -47.90169 -21.78252 90.12314 159.47525
## ----
## aic= 20.97043
## bic= 22.1268
## Number of parameters: 36
## initial estimates: 33.8267 -0.9824 -4.3274 -13.059 0.1313 0.1238 0.0788 -0.2296 0.0304 0.0452 -0.0218 -0.101 0.1039 -0.1322 0.4758 0.2432 0.3671 -0.4655 -0.0517 0.7852 -0.3386 -0.2469 -0.1377 0.6648 0.2489 -0.6168 -0.331 0.6467 -0.0571 0.4693 0.8757 -1.5547 -0.5072 0.3636 0.3506 -0.7484
## Par. lower-bounds: 17.3734 -14.6637 -25.5859 -26.0205 -0.2579 -0.393 -0.2339 -0.6508 -0.2932 -0.3846 -0.2818 -0.4512 -0.3991 -0.8 0.0718 -0.3009 0.0605 -0.8727 -0.2981 0.4534 -1.142 -1.1403 -0.8628 -0.6078 -0.4191 -1.3596 -0.9339 -0.4115 -1.0951 -0.685 -0.0611 -3.199 -1.1401 -0.3401 -0.2206 -1.751
## Par. upper-bounds: 50.2799 12.6989 16.9312 -0.0975 0.5206 0.6407 0.3915 0.1915 0.3541 0.4749 0.2383 0.2492 0.6068 0.5357 0.8799 0.7874 0.6738 -0.0584 0.1946 1.117 0.4647 0.6464 0.5874 1.9375 0.9169 0.1261 0.2719 1.705 0.9808 1.6236 1.8125 0.0897 0.1256 1.0674 0.9218 0.2541
## Final Estimates: 33.88457 -1.156442 -4.395146 -13.03786 0.1786052 -0.3871745 0.2210515 -0.4124825 0.02972502 0.4749473 0.213774 -0.1892071 0.1229945 -0.4823535 0.3807414 0.3807866 0.3406931 -0.07434183 -0.2021206 0.9607521 -0.1720056 0.6464087 -0.08928231 0.2644719 0.02526102 -0.4405909 -0.4321218 0.4760664 -0.07657322 0.5130972 0.397884 -0.7567538 -0.1490066 -0.3401218 0.3655571 -0.6700723
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 33.88457 29.42265 1.152 0.24947
## loneliness_state_pmc -1.15644 9.64442 -0.120 0.90456
## socintsatisfaction_state_pmc -4.39515 38.11003 -0.115 0.90819
## responsiveness_state_pmc -13.03786 22.51618 -0.579 0.56256
## depressedmood_state 0.17861 0.72038 0.248 0.80419
## loneliness_state_pmc -0.38717 0.88171 -0.439 0.66058
## socintsatisfaction_state_pmc 0.22105 0.29098 0.760 0.44744
## responsiveness_state_pmc -0.41248 0.43717 -0.944 0.34541
## depressedmood_state 0.02973 0.23133 0.128 0.89776
## loneliness_state_pmc 0.47495 0.26011 1.826 0.06786 .
## socintsatisfaction_state_pmc 0.21377 0.14298 1.495 0.13488
## responsiveness_state_pmc -0.18921 0.21789 -0.868 0.38519
## depressedmood_state 0.12299 0.95566 0.129 0.89759
## loneliness_state_pmc -0.48235 0.77474 -0.623 0.53355
## socintsatisfaction_state_pmc 0.38074 0.47688 0.798 0.42464
## responsiveness_state_pmc 0.38079 0.48409 0.787 0.43151
## depressedmood_state 0.34069 0.53760 0.634 0.52625
## loneliness_state_pmc -0.07434 0.55470 -0.134 0.89339
## socintsatisfaction_state_pmc -0.20212 0.16205 -1.247 0.21229
## responsiveness_state_pmc 0.96075 0.34955 2.749 0.00599 **
## -0.17201 0.96590 -0.178 0.85866
## 0.64641 0.99970 0.647 0.51789
## -0.08928 0.27875 -0.320 0.74874
## 0.26447 0.53351 0.496 0.62009
## 0.02526 0.33022 0.076 0.93902
## -0.44059 0.46512 -0.947 0.34351
## -0.43212 0.16487 -2.621 0.00877 **
## 0.47607 0.20560 2.315 0.02059 *
## -0.07657 1.04114 -0.074 0.94137
## 0.51310 0.91689 0.560 0.57575
## 0.39788 0.54017 0.737 0.46137
## -0.75675 0.41970 -1.803 0.07138 .
## -0.14901 0.55235 -0.270 0.78734
## -0.34012 0.64531 -0.527 0.59815
## 0.36556 0.18151 2.014 0.04401 *
## -0.67007 0.34800 -1.926 0.05417 .
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 33.88457 -1.156442 -4.395146 -13.03786
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1786 -0.3872 0.221 -0.412
## [2,] 0.0297 0.4749 0.214 -0.189
## [3,] 0.1230 -0.4824 0.381 0.381
## [4,] 0.3407 -0.0743 -0.202 0.961
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1720 -0.646 0.0893 -0.264
## [2,] -0.0253 0.441 0.4321 -0.476
## [3,] 0.0766 -0.513 -0.3979 0.757
## [4,] 0.1490 0.340 -0.3656 0.670
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 189.52380 95.88377 -120.1421 -71.35922
## [2,] 95.88377 147.81074 -129.9099 -68.12391
## [3,] -120.14207 -129.90990 300.1374 124.05558
## [4,] -71.35922 -68.12391 124.0556 116.07877
## ----
## aic= 20.14707
## bic= 21.30344
## Number of parameters: 36
## initial estimates: 24.6827 -2.4299 -2.8957 -0.5922 0.3495 0.528 0.0549 0.1438 -0.0173 0.3823 -0.3662 0.3368 0.0893 -0.5974 0.1792 -0.0218 0.0789 -0.3398 0.1141 0.0808 -0.8124 -1.1588 -0.7672 -0.4905 0.4009 0.1043 0.2743 -0.261 0.209 0.7054 -0.014 0.74 0.13 0.6712 -9e-04 0.059
## Par. lower-bounds: 13.9348 -14.4772 -21.429 -12.0491 0.1011 0.2187 -0.1662 -0.2102 -0.2957 0.0356 -0.6141 -0.06 -0.339 -1.1307 -0.2021 -0.6322 -0.1859 -0.6695 -0.1217 -0.2966 -1.4877 -1.8614 -1.26 -1.1293 -0.3559 -0.6832 -0.278 -0.977 -0.9553 -0.5061 -0.8638 -0.3616 -0.5898 -0.0777 -0.5262 -0.622
## Par. upper-bounds: 35.4305 9.6175 15.6377 10.8648 0.5978 0.8372 0.2761 0.4978 0.2611 0.7289 -0.1183 0.7336 0.5176 -0.0641 0.5606 0.5886 0.3437 -0.0102 0.3499 0.4581 -0.1372 -0.4562 -0.2745 0.1483 1.1578 0.8918 0.8267 0.4551 1.3734 1.9169 0.8357 1.8416 0.8498 1.4201 0.5244 0.74
## Final Estimates: 24.63458 -2.292573 -2.873624 -0.5773693 0.3855896 0.8116075 0.2761101 0.4787591 0.004552798 0.5276741 -0.1183012 0.07175988 0.02051612 -0.7238144 0.5605919 -0.6321594 0.02540421 -0.1083715 0.3498547 0.2646589 -0.307954 -0.8829131 -0.5893788 -0.5896949 -0.06905115 -0.3901196 -0.2779577 0.1298663 0.692814 0.7169732 -0.2562527 1.017072 0.06541026 -0.07669747 -0.2543845 -0.07789138## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 24.634584 3.987163 6.178 6.47e-10 ***
## loneliness_state_pmc -2.292573 NaN NaN NaN
## socintsatisfaction_state_pmc -2.873624 3.059074 -0.939 0.347537
## responsiveness_state_pmc -0.577369 6.671421 -0.087 0.931034
## depressedmood_state 0.385590 0.099518 3.875 0.000107 ***
## loneliness_state_pmc 0.811608 NaN NaN NaN
## socintsatisfaction_state_pmc 0.276110 0.040766 6.773 1.26e-11 ***
## responsiveness_state_pmc 0.478759 NaN NaN NaN
## depressedmood_state 0.004553 NaN NaN NaN
## loneliness_state_pmc 0.527674 NaN NaN NaN
## socintsatisfaction_state_pmc -0.118301 NaN NaN NaN
## responsiveness_state_pmc 0.071760 NaN NaN NaN
## depressedmood_state 0.020516 NaN NaN NaN
## loneliness_state_pmc -0.723814 NaN NaN NaN
## socintsatisfaction_state_pmc 0.560592 NaN NaN NaN
## responsiveness_state_pmc -0.632159 NaN NaN NaN
## depressedmood_state 0.025404 0.151166 0.168 0.866540
## loneliness_state_pmc -0.108371 0.305913 -0.354 0.723148
## socintsatisfaction_state_pmc 0.349855 NaN NaN NaN
## responsiveness_state_pmc 0.264659 0.017732 14.926 < 2e-16 ***
## -0.307954 0.117598 -2.619 0.008827 **
## -0.882913 NaN NaN NaN
## -0.589379 NaN NaN NaN
## -0.589695 NaN NaN NaN
## -0.069051 NaN NaN NaN
## -0.390120 NaN NaN NaN
## -0.277958 NaN NaN NaN
## 0.129866 0.227657 0.570 0.568374
## 0.692814 NaN NaN NaN
## 0.716973 NaN NaN NaN
## -0.256253 NaN NaN NaN
## 1.017072 NaN NaN NaN
## 0.065410 NaN NaN NaN
## -0.076697 0.311527 -0.246 0.805529
## -0.254384 NaN NaN NaN
## -0.077891 0.202048 -0.386 0.699861
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 24.63458 -2.292573 -2.873624 -0.5773693
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.38559 0.812 0.276 0.4788
## [2,] 0.00455 0.528 -0.118 0.0718
## [3,] 0.02052 -0.724 0.561 -0.6322
## [4,] 0.02540 -0.108 0.350 0.2647
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.3080 0.8829 0.589 0.5897
## [2,] 0.0691 0.3901 0.278 -0.1299
## [3,] -0.6928 -0.7170 0.256 -1.0171
## [4,] -0.0654 0.0767 0.254 0.0779
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 267.57576 78.35208 -147.2588 -112.0482
## [2,] 78.35208 311.83696 -322.5000 -153.4280
## [3,] -147.25884 -322.49998 797.0304 268.2827
## [4,] -112.04816 -153.42801 268.2827 314.6865
## ----
## aic= 23.67847
## bic= 24.83484
## Number of parameters: 36
## initial estimates: 24.3942 -16.7921 6.1431 4.8323 0.2058 -0.135 0.1926 -0.0341 0.5207 -0.1446 0.3397 -0.2452 -0.206 0.0036 -0.2479 0.0525 -0.1548 -0.139 -0.0828 0.0147 0.4643 -0.0246 0.4972 -0.0463 -0.2504 0.072 -0.108 0.5491 -0.0941 -0.569 -0.6379 0.1908 0.0117 0.1084 -0.3366 0.2453
## Par. lower-bounds: 11.9215 -30.9772 -14.9124 -8.8616 -0.181 -0.4095 -0.0613 -0.3613 0.0808 -0.4567 0.0509 -0.6174 -0.859 -0.4597 -0.6766 -0.4999 -0.5795 -0.4403 -0.3616 -0.3446 -0.2385 -0.8097 -0.1681 -0.8499 -1.0497 -0.8209 -0.8647 -0.3647 -1.2805 -1.8944 -1.761 -1.1657 -0.7599 -0.7536 -1.067 -0.6369
## Par. upper-bounds: 36.867 -2.6069 27.1987 18.5262 0.5926 0.1395 0.4466 0.2931 0.9606 0.1676 0.6285 0.1269 0.447 0.4669 0.1807 0.6049 0.2699 0.1624 0.196 0.3739 1.167 0.7605 1.1625 0.7572 0.5488 0.9648 0.6486 1.463 1.0922 0.7563 0.4852 1.5472 0.7833 0.9704 0.3938 1.1275
## Final Estimates: 19.93512 -17.85401 2.711682 9.147893 0.3400767 0.1394554 0.05499742 0.004858244 0.5744579 -0.4567277 0.05093088 0.08481647 -0.1020276 -0.4596993 0.1807386 0.6049362 -0.2959466 0.1623569 0.1959512 0.3739206 -0.09756968 -0.3766438 0.1886646 -0.1408505 -0.3016892 0.3370222 0.2082888 -0.3647103 0.06999241 0.5136299 -0.601509 -0.3222495 0.1873262 -0.2857542 -0.3640083 -0.1487215## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 19.935122 NaN NaN NaN
## loneliness_state_pmc -17.854013 9.559573 -1.868 0.06181 .
## socintsatisfaction_state_pmc 2.711682 12.872084 0.211 0.83315
## responsiveness_state_pmc 9.147893 8.276393 1.105 0.26903
## depressedmood_state 0.340077 NaN NaN NaN
## loneliness_state_pmc 0.139455 NaN NaN NaN
## socintsatisfaction_state_pmc 0.054997 0.166108 0.331 0.74057
## responsiveness_state_pmc 0.004858 0.321257 0.015 0.98793
## depressedmood_state 0.574458 0.314301 1.828 0.06759 .
## loneliness_state_pmc -0.456728 NaN NaN NaN
## socintsatisfaction_state_pmc 0.050931 0.174725 0.291 0.77068
## responsiveness_state_pmc 0.084816 NaN NaN NaN
## depressedmood_state -0.102028 0.433929 -0.235 0.81411
## loneliness_state_pmc -0.459699 NaN NaN NaN
## socintsatisfaction_state_pmc 0.180739 0.459190 0.394 0.69387
## responsiveness_state_pmc 0.604936 0.566066 1.069 0.28522
## depressedmood_state -0.295947 0.275703 -1.073 0.28308
## loneliness_state_pmc 0.162357 NaN NaN NaN
## socintsatisfaction_state_pmc 0.195951 0.196226 0.999 0.31799
## responsiveness_state_pmc 0.373921 0.135395 2.762 0.00575 **
## -0.097570 NaN NaN NaN
## -0.376644 NaN NaN NaN
## 0.188665 0.138914 1.358 0.17442
## -0.140850 0.318044 -0.443 0.65786
## -0.301689 0.363916 -0.829 0.40710
## 0.337022 NaN NaN NaN
## 0.208289 0.146381 1.423 0.15476
## -0.364710 NaN NaN NaN
## 0.069992 0.547916 0.128 0.89835
## 0.513630 NaN NaN NaN
## -0.601509 0.436219 -1.379 0.16792
## -0.322249 0.497168 -0.648 0.51688
## 0.187326 0.285213 0.657 0.51131
## -0.285754 0.172639 -1.655 0.09788 .
## -0.364008 0.193852 -1.878 0.06041 .
## -0.148721 0.184064 -0.808 0.41910
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 19.93512 -17.85401 2.711682 9.147893
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.340 0.139 0.0550 0.00486
## [2,] 0.574 -0.457 0.0509 0.08482
## [3,] -0.102 -0.460 0.1807 0.60494
## [4,] -0.296 0.162 0.1960 0.37392
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0976 0.377 -0.189 0.141
## [2,] 0.3017 -0.337 -0.208 0.365
## [3,] -0.0700 -0.514 0.602 0.322
## [4,] -0.1873 0.286 0.364 0.149
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 211.13089 119.24031 -221.3554 -95.15135
## [2,] 119.24031 232.29390 -156.5159 -76.70335
## [3,] -221.35535 -156.51589 507.2397 205.03514
## [4,] -95.15135 -76.70335 205.0351 189.06780
## ----
## aic= 21.73754
## bic= 22.8939
## Number of parameters: 36
## initial estimates: 8.1305 1.3396 1.2344 0.0161 0.4157 -0.0806 0.1403 -0.1143 -0.0809 0.4236 0.0806 0.0797 -0.0847 0.1631 0.1683 -0.1102 -0.0423 -0.132 -0.0413 -0.103 -0.627 0.7124 -0.2706 0.3206 -0.8014 0.0821 -0.4842 -0.3575 0.4785 -0.4905 -0.0738 -0.1123 0.7028 0.183 0.3722 0.1648
## Par. lower-bounds: 2.0737 -6.1392 -8.0255 -7.0241 0.0561 -0.3795 -0.1175 -0.486 -0.5249 0.0546 -0.2378 -0.3793 -0.6344 -0.2938 -0.2259 -0.6785 -0.4603 -0.4794 -0.341 -0.5351 -1.7189 -0.3982 -0.8306 -0.32 -2.1496 -1.2893 -1.1758 -1.1485 -1.1908 -2.1885 -0.9301 -1.0917 -0.5663 -1.108 -0.2788 -0.5798
## Par. upper-bounds: 14.1874 8.8184 10.4942 7.0563 0.7753 0.2183 0.3982 0.2575 0.363 0.7927 0.399 0.5387 0.465 0.6201 0.5624 0.4581 0.3756 0.2154 0.2584 0.3291 0.4649 1.8231 0.2895 0.9612 0.5468 1.4535 0.2073 0.4335 2.1477 1.2075 0.7824 0.867 1.972 1.474 1.0232 0.9095
## Final Estimates: 8.279354 1.09393 1.236901 0.02609686 0.5001204 -0.3795351 0.3981503 -0.0367166 -0.03963823 0.6326135 0.07740392 -0.1487612 -0.09471897 0.4293088 0.4485937 0.4450572 -0.01577478 -0.2413339 -0.2143559 -0.3293619 -0.1267665 0.5029456 -0.3509838 0.09579193 -0.03876825 -0.3268708 -0.2207718 0.3143777 -0.03546077 -0.6402753 -0.9300985 -0.2009431 0.3627574 0.07245812 0.160911 0.4522131
##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 8.279354 10.886511 0.761 0.44695
## loneliness_state_pmc 1.093930 1.221147 0.896 0.37035
## socintsatisfaction_state_pmc 1.236901 1.737496 0.712 0.47653
## responsiveness_state_pmc 0.026097 15.471911 0.002 0.99865
## depressedmood_state 0.500120 0.545917 0.916 0.35961
## loneliness_state_pmc -0.379535 0.779794 -0.487 0.62646
## socintsatisfaction_state_pmc 0.398150 0.538415 0.739 0.45961
## responsiveness_state_pmc -0.036717 0.293859 -0.125 0.90057
## depressedmood_state -0.039638 0.118924 -0.333 0.73890
## loneliness_state_pmc 0.632614 0.237157 2.667 0.00764 **
## socintsatisfaction_state_pmc 0.077404 0.277963 0.278 0.78065
## responsiveness_state_pmc -0.148761 0.796933 -0.187 0.85192
## depressedmood_state -0.094719 0.009992 -9.479 < 2e-16 ***
## loneliness_state_pmc 0.429309 0.244158 1.758 0.07869 .
## socintsatisfaction_state_pmc 0.448594 0.229509 1.955 0.05063 .
## responsiveness_state_pmc 0.445057 0.603166 0.738 0.46059
## depressedmood_state -0.015775 0.884347 -0.018 0.98577
## loneliness_state_pmc -0.241334 0.576167 -0.419 0.67532
## socintsatisfaction_state_pmc -0.214356 0.676305 -0.317 0.75128
## responsiveness_state_pmc -0.329362 0.405111 -0.813 0.41621
## -0.126766 0.454999 -0.279 0.78055
## 0.502946 0.731190 0.688 0.49155
## -0.350984 0.585581 -0.599 0.54892
## 0.095792 0.261948 0.366 0.71460
## -0.038768 0.377241 -0.103 0.91815
## -0.326871 0.313313 -1.043 0.29682
## -0.220772 0.067166 -3.287 0.00101 **
## 0.314378 0.806582 0.390 0.69671
## -0.035461 0.242815 -0.146 0.88389
## -0.640275 0.283738 -2.257 0.02403 *
## -0.930098 0.088962 -10.455 < 2e-16 ***
## -0.200943 0.614395 -0.327 0.74362
## 0.362757 0.825942 0.439 0.66051
## 0.072458 0.607254 0.119 0.90502
## 0.160911 0.676204 0.238 0.81191
## 0.452213 0.430400 1.051 0.29340
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 8.279354 1.09393 1.236901 0.02609686
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.5001 -0.380 0.3982 -0.0367
## [2,] -0.0396 0.633 0.0774 -0.1488
## [3,] -0.0947 0.429 0.4486 0.4451
## [4,] -0.0158 -0.241 -0.2144 -0.3294
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.1268 -0.5029 0.351 -0.0958
## [2,] 0.0388 0.3269 0.221 -0.3144
## [3,] 0.0355 0.6403 0.930 0.2009
## [4,] -0.3628 -0.0725 -0.161 -0.4522
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 149.7418 116.9481 -119.5059 -74.3979
## [2,] 116.9481 205.0561 -156.2767 -122.3944
## [3,] -119.5059 -156.2767 280.3223 165.9826
## [4,] -74.3979 -122.3944 165.9826 192.7798
## ----
## aic= 20.23537
## bic= 21.39174
## Number of parameters: 36
## initial estimates: 32.253 2.1838 -5.7987 -3.6909 0.1027 0.0484 -0.1992 -0.048 -0.0583 0.0923 -0.3161 -0.0989 0.1459 0.0358 0.301 0.2221 0.0947 0.0241 0.2687 0.2222 0.248 0.2133 0.1169 0.3743 0.5415 0.0534 0.5797 0.4437 -0.5581 0.0981 -1.1439 0.3714 -0.0551 -0.5149 -0.9558 0.1592
## Par. lower-bounds: 11.1985 -19.0461 -22.7047 -19.3717 -0.4711 -0.5232 -0.8696 -0.7317 -0.6368 -0.484 -0.9921 -0.7883 -0.3149 -0.4231 -0.2373 -0.3269 -0.3326 -0.4016 -0.2306 -0.287 -1.1855 -1.1601 -1.5123 -1.4436 -0.9039 -1.3314 -1.0632 -1.3894 -1.7091 -1.0047 -2.4522 -1.0883 -1.1227 -1.5377 -2.1693 -1.1947
## Par. upper-bounds: 53.3075 23.4136 11.1074 11.9899 0.6765 0.62 0.4713 0.6357 0.5203 0.6686 0.3599 0.5905 0.6066 0.4948 0.8394 0.7711 0.5221 0.4498 0.7681 0.7314 1.6814 1.5867 1.7462 2.1922 1.9869 1.4382 2.2225 2.2767 0.5929 1.2009 0.1643 1.8311 1.0125 0.508 0.2576 1.5132
## Final Estimates: 32.24695 2.187875 -5.808803 -3.685422 0.07581018 0.06556326 -0.1653745 -0.1186584 -0.06826048 0.06076237 -0.435628 -0.2260531 0.1593651 -0.01438478 0.4702764 0.1997179 0.09355855 0.1418786 0.3253448 0.2821409 0.260207 0.08564879 0.1351931 0.3455126 0.3602534 0.03523157 0.4818694 0.2962511 -0.2719966 -0.05291515 -0.9826925 0.3254495 -0.2349323 -0.3366221 -0.9361126 0.1891961## Warning in sqrt(diag(solve(Hessian))): NaNs produced##
## Coefficient(s):
## Estimate Std. Error t value Pr(>|t|)
## depressedmood_state 32.24695 NaN NaN NaN
## loneliness_state_pmc 2.18788 NaN NaN NaN
## socintsatisfaction_state_pmc -5.80880 NaN NaN NaN
## responsiveness_state_pmc -3.68542 NaN NaN NaN
## depressedmood_state 0.07581 NaN NaN NaN
## loneliness_state_pmc 0.06556 NaN NaN NaN
## socintsatisfaction_state_pmc -0.16537 NaN NaN NaN
## responsiveness_state_pmc -0.11866 NaN NaN NaN
## depressedmood_state -0.06826 NaN NaN NaN
## loneliness_state_pmc 0.06076 NaN NaN NaN
## socintsatisfaction_state_pmc -0.43563 0.12579 -3.463 0.000534 ***
## responsiveness_state_pmc -0.22605 0.22959 -0.985 0.324822
## depressedmood_state 0.15937 NaN NaN NaN
## loneliness_state_pmc -0.01438 NaN NaN NaN
## socintsatisfaction_state_pmc 0.47028 NaN NaN NaN
## responsiveness_state_pmc 0.19972 0.59638 0.335 0.737711
## depressedmood_state 0.09356 NaN NaN NaN
## loneliness_state_pmc 0.14188 NaN NaN NaN
## socintsatisfaction_state_pmc 0.32534 0.32804 0.992 0.321306
## responsiveness_state_pmc 0.28214 0.06870 4.107 4.01e-05 ***
## 0.26021 NaN NaN NaN
## 0.08565 0.36226 0.236 0.813100
## 0.13519 NaN NaN NaN
## 0.34551 NaN NaN NaN
## 0.36025 0.24254 1.485 0.137453
## 0.03523 NaN NaN NaN
## 0.48187 0.39219 1.229 0.219203
## 0.29625 0.18913 1.566 0.117258
## -0.27200 NaN NaN NaN
## -0.05292 NaN NaN NaN
## -0.98269 NaN NaN NaN
## 0.32545 0.87302 0.373 0.709307
## -0.23493 NaN NaN NaN
## -0.33662 NaN NaN NaN
## -0.93611 NaN NaN NaN
## 0.18920 0.51603 0.367 0.713890
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ---
## Estimates in matrix form:
## Constant term:
## Estimates: 32.24695 2.187875 -5.808803 -3.685422
## AR coefficient matrix
## AR( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] 0.0758 0.0656 -0.165 -0.119
## [2,] -0.0683 0.0608 -0.436 -0.226
## [3,] 0.1594 -0.0144 0.470 0.200
## [4,] 0.0936 0.1419 0.325 0.282
## MA coefficient matrix
## MA( 1 )-matrix
## [,1] [,2] [,3] [,4]
## [1,] -0.260 -0.0856 -0.135 -0.346
## [2,] -0.360 -0.0352 -0.482 -0.296
## [3,] 0.272 0.0529 0.983 -0.325
## [4,] 0.235 0.3366 0.936 -0.189
##
## Residuals cov-matrix:
## [,1] [,2] [,3] [,4]
## [1,] 268.5383 238.0297 -135.0640 -125.1753
## [2,] 238.0297 286.1840 -143.0732 -133.2885
## [3,] -135.0640 -143.0732 241.4738 202.4921
## [4,] -125.1753 -133.2885 202.4921 231.8085
## ----
## aic= 20.16782
## bic= 21.32418# Extract fit results and noisy simulated series into separate lists
fit_results_list <- lapply(simulated_data_list, function(x) x$fit)
simulated_data_list5 <- lapply(simulated_data_list, function(x) x$simulated_series)
# Combine into one large data frame for further analysis
combined_simulated_data_list5 <- do.call(rbind, lapply(1:length(simulated_data_list5), function(i) {
individual_df <- as.data.frame(simulated_data_list5[[i]])
individual_df$ID <- i
individual_df$time <- 1:nrow(individual_df)
return(individual_df)
}))Running i-ARIMAX on data sets
Next we are going to run i-ARIMAX on both the original raw data set and the simulated data set using the idionomics package to see how they compare.
# i-ARIMAX on existing raw data set
imputeThese <- c("depressedmood_state", "loneliness_state_pmc", "socintsatisfaction_state_pmc", "responsiveness_state_pmc")
# Within person standardization
zDataraw <- i_standarbot_300(imputed_rawdata, imputeThese, "pid", explanation = TRUE)## This function will create a dataframe with person-mean standardized variables
## ...
## If all values for a feature within ID are NA, will return NA
## If there is less than two values, will return 0 (zero variance)
## If values are constant, will return 0 (zero variance)
## If there is enough variance, will return deviations from the mean
##
## Standardization finished: Your original dataframe with standardized columns appended at the end was returned# Create list of independent variables
IV <- c("loneliness_state_pmc_PSD","socintsatisfaction_state_pmc_PSD","responsiveness_state_pmc_PSD")
# Initialize an empty list to store the results
hoard.iarimax1 <- list()
# Loop through each independent variable (IV)
for (i in seq_along(IV)) {
# Create a unique model name for each IV
model_name <- paste0("IV_", i)
# Run the IARIMAXoid_Pro function and store the result in the list
hoard.iarimax1[[model_name]] <- IARIMAXoid_Pro(
zDataraw,
x_series = IV[[i]], # Current independent variable
y_series = "depressedmood_state_PSD", # The single dependent variable
id_var = "pid",
hlm_compare = TRUE,
timevar = "pingTotal",
metaanalysis = TRUE
)
}## Filtering your data based on specified minimum non NA per subject and variance...
##
## Your data was filtered: 102 subjects will be used for the analyses
##
## Running I-ARIMAX algorithm...
##
## Applying auto ARIMAX to case: 1 ...## Registered S3 method overwritten by 'quantmod':
## method from
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##
##
## 1. SUMMARY OF ARIMA PARAMETERS
##
## The proportion of AR of order 1 or more is 0.29
## The proportion of I of order 1 or more is 0.39
## The proportion of MA of order 1 or more is 0.63
##
##
## Running random-effects meta analysis & HLM model for comparison
##
## Random Effects Meta-Analysis Ran correctly without exogenous weights
##
##
## 2. SUMMARY OF RANDOM EFFECTS META ANALYSIS
##
## Random-Effects Model (k = 102; tau^2 estimator: REML)
##
## logLik deviance AIC BIC AICc
## 25.1124 -50.2248 -46.2248 -40.9946 -46.1024
##
## tau^2 (estimated amount of total heterogeneity): 0.0269 (SE = 0.0050)
## tau (square root of estimated tau^2 value): 0.1640
## I^2 (total heterogeneity / total variability): 76.23%
## H^2 (total variability / sampling variability): 4.21
##
## Test for Heterogeneity:
## Q(df = 101) = 437.4482, p-val < .0001
##
## Model Results:
##
## estimate se zval pval ci.lb ci.ub
## 0.4895 0.0188 26.1053 <.0001 0.4527 0.5263 ***
##
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
##
##
## 3. I-ARIMAX V/S HLM COMPARISON
##
## OMNIBUS - RMA ESTIMATES VS HLM
##
## I-ARIMAX HLM
## ----------------------------------------------------
## IARIMAX est. IARIMAX s.e. HLM est. HLM s.e.
## 0.49 0.019 0.501 0.018
##
## SUMMARY OF INDIVIDUAL EFFECTS
##
## AVERAGES:
## MEAN:
## * IARIMAX mean effect: 0.4828
## * HLM mean effect: 0.5011
## * Raw corr mean effect: 0.5455
## VARIANCE:
## * IARIMAX variance of individual effects: 0.0354
## * HLM variance of random effects: 0.0163
## * Raw corr variance: 0.0341
##
## OPPOSITES:
## * IARIMAX N cases with opposite direction: 1
## * HLM N cases with opposite direction: 0
## * Corr N cases with opposite direction: 1
## ...
## I-ARIMAX algorithm finished.
##
## Filtering your data based on specified minimum non NA per subject and variance...
##
## Your data was filtered: 102 subjects will be used for the analyses
##
## Running I-ARIMAX algorithm...
##
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## Applying auto ARIMAX to case: 31 ... 30.4 % completed
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## Applying auto ARIMAX to case: 44 ... 43.1 % completed
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## Applying auto ARIMAX to case: 78 ... 76.5 % completed
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## Applying auto ARIMAX to case: 85 ... 83.3 % completed
## Applying auto ARIMAX to case: 86 ... 84.3 % completed
## Applying auto ARIMAX to case: 87 ... 85.3 % completed
## Applying auto ARIMAX to case: 88 ... 86.3 % completed
## Applying auto ARIMAX to case: 89 ... 87.3 % completed
## Applying auto ARIMAX to case: 90 ... 88.2 % completed
## Applying auto ARIMAX to case: 91 ... 89.2 % completed
## Applying auto ARIMAX to case: 92 ... 90.2 % completed
## Applying auto ARIMAX to case: 93 ... 91.2 % completed
## Applying auto ARIMAX to case: 94 ... 92.2 % completed
## Applying auto ARIMAX to case: 95 ... 93.1 % completed
## Applying auto ARIMAX to case: 96 ... 94.1 % completed
## Applying auto ARIMAX to case: 97 ... 95.1 % completed
## Applying auto ARIMAX to case: 98 ... 96.1 % completed
## Applying auto ARIMAX to case: 99 ... 97.1 % completed
## Applying auto ARIMAX to case: 100 ... 98 % completed
## Applying auto ARIMAX to case: 101 ... 99 % completed
## Applying auto ARIMAX to case: 102 ... 100 % completed
##
##
## 1. SUMMARY OF ARIMA PARAMETERS
##
## The proportion of AR of order 1 or more is 0.28
## The proportion of I of order 1 or more is 0.4
## The proportion of MA of order 1 or more is 0.62
##
##
## Running random-effects meta analysis & HLM model for comparison
##
## Random Effects Meta-Analysis Ran correctly without exogenous weights
##
##
## 2. SUMMARY OF RANDOM EFFECTS META ANALYSIS
##
## Random-Effects Model (k = 102; tau^2 estimator: REML)
##
## logLik deviance AIC BIC AICc
## 11.7270 -23.4541 -19.4541 -14.2238 -19.3316
##
## tau^2 (estimated amount of total heterogeneity): 0.0369 (SE = 0.0068)
## tau (square root of estimated tau^2 value): 0.1922
## I^2 (total heterogeneity / total variability): 77.92%
## H^2 (total variability / sampling variability): 4.53
##
## Test for Heterogeneity:
## Q(df = 101) = 553.9281, p-val < .0001
##
## Model Results:
##
## estimate se zval pval ci.lb ci.ub
## -0.2969 0.0218 -13.6403 <.0001 -0.3396 -0.2543 ***
##
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
##
##
## 3. I-ARIMAX V/S HLM COMPARISON
##
## OMNIBUS - RMA ESTIMATES VS HLM
##
## I-ARIMAX HLM
## ----------------------------------------------------
## IARIMAX est. IARIMAX s.e. HLM est. HLM s.e.
## -0.297 0.022 -0.313 0.02
##
## SUMMARY OF INDIVIDUAL EFFECTS
##
## AVERAGES:
## MEAN:
## * IARIMAX mean effect: -0.2922
## * HLM mean effect: -0.3126
## * Raw corr mean effect: -0.3328
## VARIANCE:
## * IARIMAX variance of individual effects: 0.0445
## * HLM variance of random effects: 0.0179
## * Raw corr variance: 0.0491
##
## OPPOSITES:
## * IARIMAX N cases with opposite direction: 8
## * HLM N cases with opposite direction: 0
## * Corr N cases with opposite direction: 9
## ...
## I-ARIMAX algorithm finished.
##
## Filtering your data based on specified minimum non NA per subject and variance...
##
## Your data was filtered: 102 subjects will be used for the analyses
##
## Running I-ARIMAX algorithm...
##
## Applying auto ARIMAX to case: 1 ... 1 % completed
## Applying auto ARIMAX to case: 2 ... 2 % completed
## Applying auto ARIMAX to case: 3 ... 2.9 % completed
## Applying auto ARIMAX to case: 4 ... 3.9 % completed
## Applying auto ARIMAX to case: 5 ... 4.9 % completed
## Applying auto ARIMAX to case: 6 ... 5.9 % completed
## Applying auto ARIMAX to case: 7 ... 6.9 % completed
## Applying auto ARIMAX to case: 8 ... 7.8 % completed
## Applying auto ARIMAX to case: 9 ... 8.8 % completed
## Applying auto ARIMAX to case: 10 ... 9.8 % completed
## Applying auto ARIMAX to case: 11 ... 10.8 % completed
## Applying auto ARIMAX to case: 12 ... 11.8 % completed
## Applying auto ARIMAX to case: 13 ... 12.7 % completed
## Applying auto ARIMAX to case: 14 ... 13.7 % completed
## Applying auto ARIMAX to case: 15 ... 14.7 % completed
## Applying auto ARIMAX to case: 16 ... 15.7 % completed
## Applying auto ARIMAX to case: 17 ... 16.7 % completed
## Applying auto ARIMAX to case: 18 ... 17.6 % completed
## Applying auto ARIMAX to case: 19 ... 18.6 % completed
## Applying auto ARIMAX to case: 20 ... 19.6 % completed
## Applying auto ARIMAX to case: 21 ... 20.6 % completed
## Applying auto ARIMAX to case: 22 ... 21.6 % completed
## Applying auto ARIMAX to case: 23 ... 22.5 % completed
## Applying auto ARIMAX to case: 24 ... 23.5 % completed
## Applying auto ARIMAX to case: 25 ... 24.5 % completed
## Applying auto ARIMAX to case: 26 ... 25.5 % completed
## Applying auto ARIMAX to case: 27 ... 26.5 % completed
## Applying auto ARIMAX to case: 28 ... 27.5 % completed
## Applying auto ARIMAX to case: 29 ... 28.4 % completed
## Applying auto ARIMAX to case: 30 ... 29.4 % completed
## Applying auto ARIMAX to case: 31 ... 30.4 % completed
## Applying auto ARIMAX to case: 32 ... 31.4 % completed
## Applying auto ARIMAX to case: 33 ... 32.4 % completed
## Applying auto ARIMAX to case: 34 ... 33.3 % completed
## Applying auto ARIMAX to case: 35 ... 34.3 % completed
## Applying auto ARIMAX to case: 36 ... 35.3 % completed
## Applying auto ARIMAX to case: 37 ... 36.3 % completed
## Applying auto ARIMAX to case: 38 ... 37.3 % completed
## Applying auto ARIMAX to case: 39 ... 38.2 % completed
## Applying auto ARIMAX to case: 40 ... 39.2 % completed
## Applying auto ARIMAX to case: 41 ... 40.2 % completed
## Applying auto ARIMAX to case: 42 ... 41.2 % completed
## Applying auto ARIMAX to case: 43 ... 42.2 % completed
## Applying auto ARIMAX to case: 44 ... 43.1 % completed
## Applying auto ARIMAX to case: 45 ... 44.1 % completed
## Applying auto ARIMAX to case: 46 ... 45.1 % completed
## Applying auto ARIMAX to case: 47 ... 46.1 % completed
## Applying auto ARIMAX to case: 48 ... 47.1 % completed
## Applying auto ARIMAX to case: 49 ... 48 % completed
## Applying auto ARIMAX to case: 50 ... 49 % completed
## Applying auto ARIMAX to case: 51 ... 50 % completed
## Applying auto ARIMAX to case: 52 ... 51 % completed
## Applying auto ARIMAX to case: 53 ... 52 % completed
## Applying auto ARIMAX to case: 54 ... 52.9 % completed
## Applying auto ARIMAX to case: 55 ... 53.9 % completed
## Applying auto ARIMAX to case: 56 ... 54.9 % completed
## Applying auto ARIMAX to case: 57 ... 55.9 % completed
## Applying auto ARIMAX to case: 58 ... 56.9 % completed
## Applying auto ARIMAX to case: 59 ... 57.8 % completed
## Applying auto ARIMAX to case: 60 ... 58.8 % completed
## Applying auto ARIMAX to case: 61 ... 59.8 % completed
## Applying auto ARIMAX to case: 62 ... 60.8 % completed
## Applying auto ARIMAX to case: 63 ... 61.8 % completed
## Applying auto ARIMAX to case: 64 ... 62.7 % completed
## Applying auto ARIMAX to case: 65 ... 63.7 % completed
## Applying auto ARIMAX to case: 66 ... 64.7 % completed
## Applying auto ARIMAX to case: 67 ... 65.7 % completed
## Applying auto ARIMAX to case: 68 ... 66.7 % completed
## Applying auto ARIMAX to case: 69 ... 67.6 % completed
## Applying auto ARIMAX to case: 70 ... 68.6 % completed
## Applying auto ARIMAX to case: 71 ... 69.6 % completed
## Applying auto ARIMAX to case: 72 ... 70.6 % completed
## Applying auto ARIMAX to case: 73 ... 71.6 % completed
## Applying auto ARIMAX to case: 74 ... 72.5 % completed
## Applying auto ARIMAX to case: 75 ... 73.5 % completed
## Applying auto ARIMAX to case: 76 ... 74.5 % completed
## Applying auto ARIMAX to case: 77 ... 75.5 % completed
## Applying auto ARIMAX to case: 78 ... 76.5 % completed
## Applying auto ARIMAX to case: 79 ... 77.5 % completed
## Applying auto ARIMAX to case: 80 ... 78.4 % completed
## Applying auto ARIMAX to case: 81 ... 79.4 % completed
## Applying auto ARIMAX to case: 82 ... 80.4 % completed
## Applying auto ARIMAX to case: 83 ... 81.4 % completed
## Applying auto ARIMAX to case: 84 ... 82.4 % completed
## Applying auto ARIMAX to case: 85 ... 83.3 % completed
## Applying auto ARIMAX to case: 86 ... 84.3 % completed
## Applying auto ARIMAX to case: 87 ... 85.3 % completed
## Applying auto ARIMAX to case: 88 ... 86.3 % completed
## Applying auto ARIMAX to case: 89 ... 87.3 % completed
## Applying auto ARIMAX to case: 90 ... 88.2 % completed
## Applying auto ARIMAX to case: 91 ... 89.2 % completed
## Applying auto ARIMAX to case: 92 ... 90.2 % completed
## Applying auto ARIMAX to case: 93 ... 91.2 % completed
## Applying auto ARIMAX to case: 94 ... 92.2 % completed
## Applying auto ARIMAX to case: 95 ... 93.1 % completed
## Applying auto ARIMAX to case: 96 ... 94.1 % completed
## Applying auto ARIMAX to case: 97 ... 95.1 % completed
## Applying auto ARIMAX to case: 98 ... 96.1 % completed
## Applying auto ARIMAX to case: 99 ... 97.1 % completed
## Applying auto ARIMAX to case: 100 ... 98 % completed
## Applying auto ARIMAX to case: 101 ... 99 % completed
## Applying auto ARIMAX to case: 102 ... 100 % completed
##
##
## 1. SUMMARY OF ARIMA PARAMETERS
##
## The proportion of AR of order 1 or more is 0.33
## The proportion of I of order 1 or more is 0.43
## The proportion of MA of order 1 or more is 0.65
##
##
## Running random-effects meta analysis & HLM model for comparison
##
## Random Effects Meta-Analysis Ran correctly without exogenous weights
##
##
## 2. SUMMARY OF RANDOM EFFECTS META ANALYSIS
##
## Random-Effects Model (k = 102; tau^2 estimator: REML)
##
## logLik deviance AIC BIC AICc
## 24.0538 -48.1077 -44.1077 -38.8774 -43.9852
##
## tau^2 (estimated amount of total heterogeneity): 0.0253 (SE = 0.0052)
## tau (square root of estimated tau^2 value): 0.1592
## I^2 (total heterogeneity / total variability): 69.97%
## H^2 (total variability / sampling variability): 3.33
##
## Test for Heterogeneity:
## Q(df = 101) = 343.8824, p-val < .0001
##
## Model Results:
##
## estimate se zval pval ci.lb ci.ub
## -0.2851 0.0190 -14.9764 <.0001 -0.3224 -0.2478 ***
##
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
##
##
## 3. I-ARIMAX V/S HLM COMPARISON
##
## OMNIBUS - RMA ESTIMATES VS HLM
##
## I-ARIMAX HLM
## ----------------------------------------------------
## IARIMAX est. IARIMAX s.e. HLM est. HLM s.e.
## -0.285 0.019 -0.303 0.012
##
## SUMMARY OF INDIVIDUAL EFFECTS
##
## AVERAGES:
## MEAN:
## * IARIMAX mean effect: -0.2791
## * HLM mean effect: -0.303
## * Raw corr mean effect: -0.3219
## VARIANCE:
## * IARIMAX variance of individual effects: 0.0357
## * HLM variance of random effects: 0
## * Raw corr variance: 0.0373
##
## OPPOSITES:
## * IARIMAX N cases with opposite direction: 9
## * HLM N cases with opposite direction: 0
## * Corr N cases with opposite direction: 5
## ...
## I-ARIMAX algorithm finished.
## Then we are going to do the same thing and run i-ARIMAX on the simulated data
# i-ARIMAX on simulated data set
# Rename columns to same as raw data set
combined_simulated_data_list5 <- combined_simulated_data_list5 %>%
rename(
depressedmood_state = V1,
loneliness_state_pmc = V2,
socintsatisfaction_state_pmc = V3,
responsiveness_state_pmc = V4
)
# Within-person standardization
zDatasim <- i_standarbot_300(combined_simulated_data_list5, imputeThese, "ID", explanation = TRUE)## This function will create a dataframe with person-mean standardized variables
## ...
## If all values for a feature within ID are NA, will return NA
## If there is less than two values, will return 0 (zero variance)
## If values are constant, will return 0 (zero variance)
## If there is enough variance, will return deviations from the mean
##
## Standardization finished: Your original dataframe with standardized columns appended at the end was returned# Initialize an empty list to store the results
hoard.iarimax1sim <- list()
# Loop through each independent variable (IV)
for (i in seq_along(IV)) {
# Create a unique model name for each IV
model_name <- paste0("IV_", i)
# Run the IARIMAXoid_Pro function and store the result in the list
hoard.iarimax1sim[[model_name]] <- IARIMAXoid_Pro(
zDatasim,
x_series = IV[[i]], # Current independent variable
y_series = "depressedmood_state_PSD", # The single dependent variable
id_var = "ID",
hlm_compare = TRUE,
timevar = "time",
metaanalysis = TRUE
)
}## Filtering your data based on specified minimum non NA per subject and variance...
##
## Your data was filtered: 101 subjects will be used for the analyses
##
## Running I-ARIMAX algorithm...
##
## Applying auto ARIMAX to case: 1 ... 1 % completed
## Applying auto ARIMAX to case: 2 ... 2 % completed
## Applying auto ARIMAX to case: 3 ... 3 % completed
## Applying auto ARIMAX to case: 4 ... 4 % completed
## Applying auto ARIMAX to case: 5 ... 5 % completed
## Applying auto ARIMAX to case: 6 ... 5.9 % completed
## Applying auto ARIMAX to case: 7 ... 6.9 % completed
## Applying auto ARIMAX to case: 8 ... 7.9 % completed
## Applying auto ARIMAX to case: 9 ... 8.9 % completed
## Applying auto ARIMAX to case: 10 ... 9.9 % completed
## Applying auto ARIMAX to case: 11 ... 10.9 % completed
## Applying auto ARIMAX to case: 12 ... 11.9 % completed
## Applying auto ARIMAX to case: 13 ... 12.9 % completed
## Applying auto ARIMAX to case: 14 ... 13.9 % completed
## Applying auto ARIMAX to case: 15 ... 14.9 % completed
## Applying auto ARIMAX to case: 16 ... 15.8 % completed
## Applying auto ARIMAX to case: 17 ... 16.8 % completed
## Applying auto ARIMAX to case: 18 ... 17.8 % completed
## Applying auto ARIMAX to case: 19 ... 18.8 % completed
## Applying auto ARIMAX to case: 20 ... 19.8 % completed
## Applying auto ARIMAX to case: 21 ... 20.8 % completed
## Applying auto ARIMAX to case: 22 ... 21.8 % completed
## Applying auto ARIMAX to case: 23 ... 22.8 % completed
## Applying auto ARIMAX to case: 24 ... 23.8 % completed
## Applying auto ARIMAX to case: 25 ... 24.8 % completed
## Applying auto ARIMAX to case: 26 ... 25.7 % completed
## Applying auto ARIMAX to case: 27 ... 26.7 % completed
## Applying auto ARIMAX to case: 28 ... 27.7 % completed
## Applying auto ARIMAX to case: 29 ... 28.7 % completed
## Applying auto ARIMAX to case: 30 ... 29.7 % completed
## Applying auto ARIMAX to case: 31 ... 30.7 % completed
## Applying auto ARIMAX to case: 32 ... 31.7 % completed
## Applying auto ARIMAX to case: 33 ... 32.7 % completed
## Applying auto ARIMAX to case: 34 ... 33.7 % completed
## Applying auto ARIMAX to case: 35 ... 34.7 % completed
## Applying auto ARIMAX to case: 36 ... 35.6 % completed
## Applying auto ARIMAX to case: 37 ... 36.6 % completed
## Applying auto ARIMAX to case: 38 ... 37.6 % completed
## Applying auto ARIMAX to case: 39 ... 38.6 % completed
## Applying auto ARIMAX to case: 40 ... 39.6 % completed
## Applying auto ARIMAX to case: 41 ... 40.6 % completed
## Applying auto ARIMAX to case: 42 ... 41.6 % completed
## Applying auto ARIMAX to case: 43 ... 42.6 % completed
## Applying auto ARIMAX to case: 44 ... 43.6 % completed
## Applying auto ARIMAX to case: 45 ... 44.6 % completed
## Applying auto ARIMAX to case: 46 ... 45.5 % completed
## Applying auto ARIMAX to case: 47 ... 46.5 % completed
## Applying auto ARIMAX to case: 48 ... 47.5 % completed
## Applying auto ARIMAX to case: 49 ... 48.5 % completed
## Applying auto ARIMAX to case: 50 ...
##
## Error running ARIMAX model for case: 50
## Lapack routine dgesv: system is exactly singular: U[1,1] = 0
##
## Skipping case due to error: ... 49.5 % completed
##
## Applying auto ARIMAX to case: 51 ... 50.5 % completed
## Applying auto ARIMAX to case: 52 ... 51.5 % completed
## Applying auto ARIMAX to case: 53 ... 52.5 % completed
## Applying auto ARIMAX to case: 54 ... 53.5 % completed
## Applying auto ARIMAX to case: 55 ... 54.5 % completed
## Applying auto ARIMAX to case: 56 ... 55.4 % completed
## Applying auto ARIMAX to case: 57 ... 56.4 % completed
## Applying auto ARIMAX to case: 58 ... 57.4 % completed
## Applying auto ARIMAX to case: 59 ... 58.4 % completed
## Applying auto ARIMAX to case: 60 ... 59.4 % completed
## Applying auto ARIMAX to case: 61 ... 60.4 % completed
## Applying auto ARIMAX to case: 62 ... 61.4 % completed
## Applying auto ARIMAX to case: 63 ... 62.4 % completed
## Applying auto ARIMAX to case: 64 ... 63.4 % completed
## Applying auto ARIMAX to case: 65 ... 64.4 % completed
## Applying auto ARIMAX to case: 66 ... 65.3 % completed
## Applying auto ARIMAX to case: 67 ... 66.3 % completed
## Applying auto ARIMAX to case: 68 ... 67.3 % completed
## Applying auto ARIMAX to case: 69 ... 68.3 % completed
## Applying auto ARIMAX to case: 70 ... 69.3 % completed
## Applying auto ARIMAX to case: 71 ... 70.3 % completed
## Applying auto ARIMAX to case: 72 ... 71.3 % completed
## Applying auto ARIMAX to case: 73 ... 72.3 % completed
## Applying auto ARIMAX to case: 74 ... 73.3 % completed
## Applying auto ARIMAX to case: 75 ... 74.3 % completed
## Applying auto ARIMAX to case: 76 ... 75.2 % completed
## Applying auto ARIMAX to case: 77 ... 76.2 % completed
## Applying auto ARIMAX to case: 79 ... 77.2 % completed
## Applying auto ARIMAX to case: 80 ... 78.2 % completed
## Applying auto ARIMAX to case: 81 ... 79.2 % completed
## Applying auto ARIMAX to case: 82 ... 80.2 % completed
## Applying auto ARIMAX to case: 83 ... 81.2 % completed
## Applying auto ARIMAX to case: 84 ... 82.2 % completed
## Applying auto ARIMAX to case: 85 ... 83.2 % completed
## Applying auto ARIMAX to case: 86 ... 84.2 % completed
## Applying auto ARIMAX to case: 87 ... 85.1 % completed
## Applying auto ARIMAX to case: 88 ... 86.1 % completed
## Applying auto ARIMAX to case: 89 ... 87.1 % completed
## Applying auto ARIMAX to case: 90 ... 88.1 % completed
## Applying auto ARIMAX to case: 91 ... 89.1 % completed
## Applying auto ARIMAX to case: 92 ... 90.1 % completed
## Applying auto ARIMAX to case: 93 ... 91.1 % completed
## Applying auto ARIMAX to case: 94 ... 92.1 % completed
## Applying auto ARIMAX to case: 95 ... 93.1 % completed
## Applying auto ARIMAX to case: 96 ... 94.1 % completed
## Applying auto ARIMAX to case: 97 ... 95 % completed
## Applying auto ARIMAX to case: 98 ... 96 % completed
## Applying auto ARIMAX to case: 99 ... 97 % completed
## Applying auto ARIMAX to case: 100 ... 98 % completed
## Applying auto ARIMAX to case: 101 ... 99 % completed
## Applying auto ARIMAX to case: 102 ... 100 % completed
##
##
## 1. SUMMARY OF ARIMA PARAMETERS
##
## The proportion of AR of order 1 or more is 0.57
## The proportion of I of order 1 or more is 0.09
## The proportion of MA of order 1 or more is 0.86
##
##
## Running random-effects meta analysis & HLM model for comparison
## ## Warning: 1 study with NAs omitted from model fitting.## Random Effects Meta-Analysis Ran correctly without exogenous weights
##
##
## 2. SUMMARY OF RANDOM EFFECTS META ANALYSIS
##
## Random-Effects Model (k = 100; tau^2 estimator: REML)
##
## logLik deviance AIC BIC AICc
## 11.2595 -22.5189 -18.5189 -13.3287 -18.3939
##
## tau^2 (estimated amount of total heterogeneity): 0.0443 (SE = 0.0068)
## tau (square root of estimated tau^2 value): 0.2104
## I^2 (total heterogeneity / total variability): 98.42%
## H^2 (total variability / sampling variability): 63.13
##
## Test for Heterogeneity:
## Q(df = 99) = 45645.6257, p-val < .0001
##
## Model Results:
##
## estimate se zval pval ci.lb ci.ub
## 0.5068 0.0219 23.1917 <.0001 0.4640 0.5497 ***
##
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
##
##
## 3. I-ARIMAX V/S HLM COMPARISON
##
## OMNIBUS - RMA ESTIMATES VS HLM
##
## I-ARIMAX HLM
## ----------------------------------------------------
## IARIMAX est. IARIMAX s.e. HLM est. HLM s.e.
## 0.507 0.022 0.506 0.021
##
## SUMMARY OF INDIVIDUAL EFFECTS
##
## AVERAGES:
## MEAN:
## * IARIMAX mean effect: 0.5049
## * HLM mean effect: 0.5057
## * Raw corr mean effect: 0.519
## VARIANCE:
## * IARIMAX variance of individual effects: 0.0456
## * HLM variance of random effects: 0.0337
## * Raw corr variance: 0.0456
##
## OPPOSITES:
## * IARIMAX N cases with opposite direction: 2
## * HLM N cases with opposite direction: 1
## * Corr N cases with opposite direction: 2
## ...
## I-ARIMAX algorithm finished.
##
## Filtering your data based on specified minimum non NA per subject and variance...
##
## Your data was filtered: 101 subjects will be used for the analyses
##
## Running I-ARIMAX algorithm...
##
## Applying auto ARIMAX to case: 1 ... 1 % completed
## Applying auto ARIMAX to case: 2 ... 2 % completed
## Applying auto ARIMAX to case: 3 ... 3 % completed
## Applying auto ARIMAX to case: 4 ... 4 % completed
## Applying auto ARIMAX to case: 5 ... 5 % completed
## Applying auto ARIMAX to case: 6 ... 5.9 % completed
## Applying auto ARIMAX to case: 7 ... 6.9 % completed
## Applying auto ARIMAX to case: 8 ... 7.9 % completed
## Applying auto ARIMAX to case: 9 ... 8.9 % completed
## Applying auto ARIMAX to case: 10 ... 9.9 % completed
## Applying auto ARIMAX to case: 11 ... 10.9 % completed
## Applying auto ARIMAX to case: 12 ... 11.9 % completed
## Applying auto ARIMAX to case: 13 ... 12.9 % completed
## Applying auto ARIMAX to case: 14 ... 13.9 % completed
## Applying auto ARIMAX to case: 15 ... 14.9 % completed
## Applying auto ARIMAX to case: 16 ... 15.8 % completed
## Applying auto ARIMAX to case: 17 ... 16.8 % completed
## Applying auto ARIMAX to case: 18 ... 17.8 % completed
## Applying auto ARIMAX to case: 19 ... 18.8 % completed
## Applying auto ARIMAX to case: 20 ... 19.8 % completed
## Applying auto ARIMAX to case: 21 ... 20.8 % completed
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##
## Error running ARIMAX model for case: 50
## Lapack routine dgesv: system is exactly singular: U[1,1] = 0
##
## Skipping case due to error: ... 49.5 % completed
##
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##
##
## 1. SUMMARY OF ARIMA PARAMETERS
##
## The proportion of AR of order 1 or more is 0.39
## The proportion of I of order 1 or more is 0.12
## The proportion of MA of order 1 or more is 0.63
##
##
## Running random-effects meta analysis & HLM model for comparison
## ## Warning: 1 study with NAs omitted from model fitting.## Random Effects Meta-Analysis Ran correctly without exogenous weights
##
##
## 2. SUMMARY OF RANDOM EFFECTS META ANALYSIS
##
## Random-Effects Model (k = 100; tau^2 estimator: REML)
##
## logLik deviance AIC BIC AICc
## -29.7210 59.4420 63.4420 68.6322 63.5670
##
## tau^2 (estimated amount of total heterogeneity): 0.0971 (SE = 0.0146)
## tau (square root of estimated tau^2 value): 0.3116
## I^2 (total heterogeneity / total variability): 99.32%
## H^2 (total variability / sampling variability): 146.02
##
## Test for Heterogeneity:
## Q(df = 99) = 151369.9745, p-val < .0001
##
## Model Results:
##
## estimate se zval pval ci.lb ci.ub
## -0.2894 0.0321 -9.0291 <.0001 -0.3522 -0.2266 ***
##
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
##
##
## 3. I-ARIMAX V/S HLM COMPARISON
##
## OMNIBUS - RMA ESTIMATES VS HLM
##
## I-ARIMAX HLM
## ----------------------------------------------------
## IARIMAX est. IARIMAX s.e. HLM est. HLM s.e.
## -0.289 0.032 -0.264 0.03
##
## SUMMARY OF INDIVIDUAL EFFECTS
##
## AVERAGES:
## MEAN:
## * IARIMAX mean effect: -0.2918
## * HLM mean effect: -0.2636
## * Raw corr mean effect: -0.2759
## VARIANCE:
## * IARIMAX variance of individual effects: 0.1114
## * HLM variance of random effects: 0.0786
## * Raw corr variance: 0.0994
##
## OPPOSITES:
## * IARIMAX N cases with opposite direction: 14
## * HLM N cases with opposite direction: 11
## * Corr N cases with opposite direction: 12
## ...
## I-ARIMAX algorithm finished.
##
## Filtering your data based on specified minimum non NA per subject and variance...
##
## Your data was filtered: 101 subjects will be used for the analyses
##
## Running I-ARIMAX algorithm...
##
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##
## Error running ARIMAX model for case: 50
## Lapack routine dgesv: system is exactly singular: U[1,1] = 0
##
## Skipping case due to error: ... 49.5 % completed
##
## Applying auto ARIMAX to case: 51 ... 50.5 % completed
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##
##
## 1. SUMMARY OF ARIMA PARAMETERS
##
## The proportion of AR of order 1 or more is 0.43
## The proportion of I of order 1 or more is 0.21
## The proportion of MA of order 1 or more is 0.64
##
##
## Running random-effects meta analysis & HLM model for comparison
## ## Warning: 1 study with NAs omitted from model fitting.## Random Effects Meta-Analysis Ran correctly without exogenous weights
##
##
## 2. SUMMARY OF RANDOM EFFECTS META ANALYSIS
##
## Random-Effects Model (k = 100; tau^2 estimator: REML)
##
## logLik deviance AIC BIC AICc
## -8.9028 17.8056 21.8056 26.9958 21.9306
##
## tau^2 (estimated amount of total heterogeneity): 0.0644 (SE = 0.0100)
## tau (square root of estimated tau^2 value): 0.2537
## I^2 (total heterogeneity / total variability): 99.80%
## H^2 (total variability / sampling variability): 502.30
##
## Test for Heterogeneity:
## Q(df = 99) = 34198.7049, p-val < .0001
##
## Model Results:
##
## estimate se zval pval ci.lb ci.ub
## -0.2902 0.0265 -10.9504 <.0001 -0.3421 -0.2382 ***
##
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
##
##
## 3. I-ARIMAX V/S HLM COMPARISON
##
## OMNIBUS - RMA ESTIMATES VS HLM
##
## I-ARIMAX HLM
## ----------------------------------------------------
## IARIMAX est. IARIMAX s.e. HLM est. HLM s.e.
## -0.29 0.027 -0.28 0.027
##
## SUMMARY OF INDIVIDUAL EFFECTS
##
## AVERAGES:
## MEAN:
## * IARIMAX mean effect: -0.2893
## * HLM mean effect: -0.2803
## * Raw corr mean effect: -0.2947
## VARIANCE:
## * IARIMAX variance of individual effects: 0.0706
## * HLM variance of random effects: 0.0594
## * Raw corr variance: 0.0807
##
## OPPOSITES:
## * IARIMAX N cases with opposite direction: 13
## * HLM N cases with opposite direction: 8
## * Corr N cases with opposite direction: 13
## ...
## I-ARIMAX algorithm finished.
## Comparing results raw vs simualted
Now we can compare the results between the raw data and simualted data for variable of loneliness using density and ecdf plots. First plots for loneliness and depressed mood
# Extracting raw i-ARIMAX scores
IARIMAXrawxreg <- hoard.iarimax1$IV_1$results_df$xreg
IARIMAXrawxreg <- data.frame(IARIMAXrawxreg)
IARIMAXrawxreg <- IARIMAXrawxreg %>%
mutate(pid = row_number())
# Extracting sim i-ARIMAX scores
IARIMAXsimxreg<- hoard.iarimax1sim$IV_1$results_df$xreg
IARIMAXsimxreg <- data.frame(IARIMAXsimxreg)
IARIMAXsimxreg <- IARIMAXsimxreg %>%
mutate(pid = row_number())
# Combine together
lonelinessplotdata <- left_join(IARIMAXsimxreg, IARIMAXrawxreg, by = "pid")
# Prepare data set
library(tidyr)
lonelinessplotdata <- lonelinessplotdata %>%
pivot_longer(cols = c("IARIMAXsimxreg", "IARIMAXrawxreg"), names_to = "Method", values_to = "estimate")
library(ggplot2)## Warning: package 'ggplot2' was built under R version 4.3.3library(viridis)## Warning: package 'viridis' was built under R version 4.3.3## Loading required package: viridisLitelonelinessplotdata %>%
ggplot(aes(x = estimate, fill = Method)) +
geom_density(alpha = 0.5) +
ylab("Density") +
xlab("Effect Size of the Link Between loneliness and depressedmood") +
scale_fill_viridis(discrete=TRUE) +
theme_bw()## Warning: Removed 1 row containing non-finite outside the scale range
## (`stat_density()`).
# Plot data (ecdf)
ggplot(lonelinessplotdata, aes(estimate, colour = Method)) +
stat_ecdf(geom = "step", pad = FALSE, linewidth = 1) +
ylab("Empirical Cumulative Distribution Function") +
xlab("Effect Size of the Link Between loneliness and depressedmood") +
scale_y_continuous(breaks = seq(0.00, 1.00, by = 0.10)) +
scale_x_continuous(breaks = seq(-1.0, 1.0, by = 0.20)) +
scale_color_viridis(discrete=TRUE) +
theme_bw()## Warning: Removed 1 row containing non-finite outside the scale range
## (`stat_ecdf()`).
Next, compare results for variable 2 - social interaction satisfaction
# Extracting raw i-ARIMAX scores
IARIMAXrawxreg <- hoard.iarimax1$IV_2$results_df$xreg
IARIMAXrawxreg <- data.frame(IARIMAXrawxreg)
IARIMAXrawxreg <- IARIMAXrawxreg %>%
mutate(pid = row_number())
# Extracting sim i-ARIMAX scores
IARIMAXsimxreg<- hoard.iarimax1sim$IV_2$results_df$xreg
IARIMAXsimxreg <- data.frame(IARIMAXsimxreg)
IARIMAXsimxreg <- IARIMAXsimxreg %>%
mutate(pid = row_number())
# Combine together
lonelinessplotdata <- left_join(IARIMAXsimxreg, IARIMAXrawxreg, by = "pid")
# Prepare data set
lonelinessplotdata <- lonelinessplotdata %>%
pivot_longer(cols = c("IARIMAXsimxreg", "IARIMAXrawxreg"), names_to = "Method", values_to = "estimate")
# Plot density
lonelinessplotdata %>%
ggplot(aes(x = estimate, fill = Method)) +
geom_density(alpha = 0.5) +
ylab("Density") +
xlab("Effect Size of the Link Between social interaction satisfaction and depressedmood") +
scale_fill_viridis(discrete=TRUE) +
theme_bw()## Warning: Removed 1 row containing non-finite outside the scale range
## (`stat_density()`).
# Plot data (ecdf)
ggplot(lonelinessplotdata, aes(estimate, colour = Method)) +
stat_ecdf(geom = "step", pad = FALSE, linewidth = 1) +
ylab("Empirical Cumulative Distribution Function") +
xlab("Effect Size of the Link Between social interaction satisfaction and depressedmood") +
scale_y_continuous(breaks = seq(0.00, 1.00, by = 0.10)) +
scale_x_continuous(breaks = seq(-1.0, 1.0, by = 0.20)) +
scale_color_viridis(discrete=TRUE) +
theme_bw()## Warning: Removed 1 row containing non-finite outside the scale range
## (`stat_ecdf()`).
Last, compare results for responsiveness
# Extracting raw i-ARIMAX scores
IARIMAXrawxreg <- hoard.iarimax1$IV_3$results_df$xreg
IARIMAXrawxreg <- data.frame(IARIMAXrawxreg)
IARIMAXrawxreg <- IARIMAXrawxreg %>%
mutate(pid = row_number())
# Extracting sim i-ARIMAX scores
IARIMAXsimxreg<- hoard.iarimax1sim$IV_3$results_df$xreg
IARIMAXsimxreg <- data.frame(IARIMAXsimxreg)
IARIMAXsimxreg <- IARIMAXsimxreg %>%
mutate(pid = row_number())
# Combine together
lonelinessplotdata <- left_join(IARIMAXsimxreg, IARIMAXrawxreg, by = "pid")
# Prepare data set
lonelinessplotdata <- lonelinessplotdata %>%
pivot_longer(cols = c("IARIMAXsimxreg", "IARIMAXrawxreg"), names_to = "Method", values_to = "estimate")
# Plot density
lonelinessplotdata %>%
ggplot(aes(x = estimate, fill = Method)) +
geom_density(alpha = 0.5) +
ylab("Density") +
xlab("Effect Size of the Link Between responsiveness and depressedmood") +
scale_fill_viridis(discrete=TRUE) +
theme_bw()## Warning: Removed 1 row containing non-finite outside the scale range
## (`stat_density()`).
# Plot data (ecdf)
ggplot(lonelinessplotdata, aes(estimate, colour = Method)) +
stat_ecdf(geom = "step", pad = FALSE, linewidth = 1) +
ylab("Empirical Cumulative Distribution Function") +
xlab("Effect Size of the Link Between responsiveness and depressedmood") +
scale_y_continuous(breaks = seq(0.00, 1.00, by = 0.10)) +
scale_x_continuous(breaks = seq(-1.0, 1.0, by = 0.20)) +
scale_color_viridis(discrete=TRUE) +
theme_bw()## Warning: Removed 1 row containing non-finite outside the scale range
## (`stat_ecdf()`).
Then we can also compare raw correlations for each variable with
depressed mood.
rawdata_correlations <- imputed_rawdata %>%
group_by(pid) %>%
summarise(correlation = cor(depressedmood_state, loneliness_state_pmc, use = "complete.obs"))
simdata_correlations <- combined_simulated_data_list5 %>%
group_by(ID) %>%
summarise(correlation = cor(depressedmood_state, loneliness_state_pmc, use = "complete.obs"))
simdata_correlations <- simdata_correlations %>%
rename(sim_cor = correlation)
rawdata_correlations<- rawdata_correlations %>%
mutate(ID = row_number())
rawdata_correlations <- rawdata_correlations %>%
rename(raw_cor = correlation)
rawcorplotdata <- left_join(simdata_correlations, rawdata_correlations, by = "ID")
rawcorplotdata <- rawcorplotdata %>%
pivot_longer(cols = c("sim_cor", "raw_cor"), names_to = "Method", values_to = "estimate")
rawcorplotdata %>%
ggplot(aes(x = estimate, fill = Method)) +
geom_density(alpha = 0.5) +
ylab("Density") +
xlab("raw correlations Between loneliness and depressedmood") +
scale_fill_viridis(discrete=TRUE) +
theme_bw()## Warning: Removed 1 row containing non-finite outside the scale range
## (`stat_density()`).
Raw correlations of real data vs sim data for social interaction satisfaction
rawdata_correlations <- imputed_rawdata %>%
group_by(pid) %>%
summarise(correlation = cor(depressedmood_state, socintsatisfaction_state_pmc, use = "complete.obs"))
simdata_correlations <- combined_simulated_data_list5 %>%
group_by(ID) %>%
summarise(correlation = cor(depressedmood_state, socintsatisfaction_state_pmc, use = "complete.obs"))
simdata_correlations <- simdata_correlations %>%
rename(sim_cor = correlation)
rawdata_correlations<- rawdata_correlations %>%
mutate(ID = row_number())
rawdata_correlations <- rawdata_correlations %>%
rename(raw_cor = correlation)
rawcorplotdata <- left_join(simdata_correlations, rawdata_correlations, by = "ID")
rawcorplotdata <- rawcorplotdata %>%
pivot_longer(cols = c("sim_cor", "raw_cor"), names_to = "Method", values_to = "estimate")
rawcorplotdata %>%
ggplot(aes(x = estimate, fill = Method)) +
geom_density(alpha = 0.5) +
ylab("Density") +
xlab("raw correlations Between loneliness and depressedmood") +
scale_fill_viridis(discrete=TRUE) +
theme_bw()## Warning: Removed 1 row containing non-finite outside the scale range
## (`stat_density()`).
Finally raw correlation comparion for real vs sim for responsiveness
rawdata_correlations <- imputed_rawdata %>%
group_by(pid) %>%
summarise(correlation = cor(depressedmood_state, responsiveness_state_pmc, use = "complete.obs"))
simdata_correlations <- combined_simulated_data_list5 %>%
group_by(ID) %>%
summarise(correlation = cor(depressedmood_state, responsiveness_state_pmc, use = "complete.obs"))
simdata_correlations <- simdata_correlations %>%
rename(sim_cor = correlation)
rawdata_correlations<- rawdata_correlations %>%
mutate(ID = row_number())
rawdata_correlations <- rawdata_correlations %>%
rename(raw_cor = correlation)
rawcorplotdata <- left_join(simdata_correlations, rawdata_correlations, by = "ID")
rawcorplotdata <- rawcorplotdata %>%
pivot_longer(cols = c("sim_cor", "raw_cor"), names_to = "Method", values_to = "estimate")
rawcorplotdata %>%
ggplot(aes(x = estimate, fill = Method)) +
geom_density(alpha = 0.5) +
ylab("Density") +
xlab("raw correlations Between loneliness and depressedmood") +
scale_fill_viridis(discrete=TRUE) +
theme_bw()## Warning: Removed 1 row containing non-finite outside the scale range
## (`stat_density()`).
We can also compare meta-analysis results for real vs simulated data. As can be seen estimates are very similar but heterogeneity is much larger in simulated as can also be seen from ecdf and density plots (more extreme values in simulated data) IV_1 = lonliness IV_2 = social interaction satisfaction IV_3 = responsiveness
# Initialize an empty list to store the results
meta_analysis_results_list <- list()
# Example: extracting estimates and I² from hoard.iarimax for real and simulated data
for (i in 1:length(hoard.iarimax1)) {
# Extract variable names (optional if you need them)
variable_name <- names(hoard.iarimax1)[i]
# Extract estimates and I² from the real data
real_estimate <- hoard.iarimax1[[i]]$meta_analysis$b # Adjust based on your structure
real_I2 <- hoard.iarimax1[[i]]$meta_analysis$I2 # Adjust based on your structure
# Extract estimates and I² from the simulated data
sim_estimate <- hoard.iarimax1sim[[i]]$meta_analysis$b # Adjust based on your structure
sim_I2 <- hoard.iarimax1sim[[i]]$meta_analysis$I2 # Adjust based on your structure
# Store the results in a list
meta_analysis_results_list[[i]] <- data.frame(
Variable = variable_name,
Estimate_Real = real_estimate,
Estimate_Simulated = sim_estimate,
I2_Real = ifelse(is.na(real_I2), "NA", paste0(round(real_I2, 2), "%")),
I2_Simulated = ifelse(is.na(sim_I2), "NA", paste0(round(sim_I2, 2), "%"))
)
}
# Combine the list into a single data frame
meta_analysis_results <- do.call(rbind, meta_analysis_results_list)
# Display the table
print(meta_analysis_results)## Variable Estimate_Real Estimate_Simulated I2_Real I2_Simulated
## intrcpt IV_1 0.4895009 0.5068498 76.23% 98.42%
## intrcpt1 IV_2 -0.2969163 -0.2894128 77.92% 99.32%
## intrcpt2 IV_3 -0.2850702 -0.2901885 69.97% 99.8%Next, we compare autocorrelations for each variable at the sample level.
# Extract autocorrelation values (without plotting) for each variable in the real dataset
acf_real <- lapply(7:ncol(zDataraw), function(i) acf(zDataraw[, i], plot = FALSE))
# Extract autocorrelation values (without plotting) for each variable in the simulated dataset
acf_simulated <- lapply(7:ncol(zDatasim), function(i) acf(zDatasim[, i], plot = FALSE))
# Get the variable names (assuming zDataraw and zDatasim have the same variable names)
variable_names <- colnames(zDataraw)[7:ncol(zDataraw)] # Extract variable names starting from column 7
# Extract the autocorrelation values at lag 1
lag1_real <- sapply(acf_real, function(x) x$acf[2]) # ACF at lag 1 for real data
lag1_simulated <- sapply(acf_simulated, function(x) x$acf[2]) # ACF at lag 1 for simulated data
# Create a data frame to compare the lag 1 autocorrelations
comparison_lag1 <- data.frame(Variable = variable_names, Real = lag1_real, Simulated = lag1_simulated)
print(comparison_lag1)## Variable Real Simulated
## 1 depressedmood_state_PSD 0.3267736 0.3220256
## 2 loneliness_state_pmc_PSD 0.2312691 0.2099698
## 3 socintsatisfaction_state_pmc_PSD 0.3992218 0.3954121
## 4 responsiveness_state_pmc_PSD 0.4014451 0.3251152Next, I calculated the correlation between variables for each individual based on their covariance in the Simga matrix (covariance of residuals matrix) and compared this to their raw correlations.
As can be seen in output, some individuals have very close correlations whilst others have some moderate to large differences.
I think that this might be because sigma is the covariance matrix of residuals (as opposed to a standard covariance matrix) so it accounts for the variability unexplained by the model and although it accounts for some of the contemptuous relationships between variables, the model itself may also have some contemptuous relationships?
# Initialize an empty list to store the comparison results
cor_comparison_results <- list()
# Loop through each individual's data in the rawdata_list and fit results list
for (i in 1:length(fit_results_list)) {
# Step 1: Extract the Sigma matrix and convert it to the correlation matrix
cor_matrix_sigma <- cov2cor(fit_results_list[[i]]$Sigma)
# Step 2: Extract the raw data for the individual, removing ID and time columns
ind_data <- simulated_data_list5[[i]] # Assuming columns 1 and 2 are ID and time
# Step 3: Calculate the raw correlation matrix for this individual
raw_cor_matrix <- cor(ind_data, use = "complete.obs")
# Step 4: Store the comparison results in a list
cor_comparison_results[[i]] <- list(cor_matrix_sigma = cor_matrix_sigma,
raw_cor_matrix = raw_cor_matrix)
# Optionally, print the comparison results for each individual
cat("\nIndividual:", i, "\n")
cat("Correlation Matrix of Residuals (Sigma):\n")
print(cor_matrix_sigma)
cat("Raw Correlation Matrix:\n")
print(raw_cor_matrix)
}##
## Individual: 1
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4806677 -0.2063431 -0.2166522
## [2,] 0.4806677 1.0000000 -0.1139593 -0.2044184
## [3,] -0.2063431 -0.1139593 1.0000000 0.7618041
## [4,] -0.2166522 -0.2044184 0.7618041 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5395174 -0.2017648 -0.2114857
## [2,] 0.5395174 1.0000000 -0.1819331 -0.3336662
## [3,] -0.2017648 -0.1819331 1.0000000 0.7757568
## [4,] -0.2114857 -0.3336662 0.7757568 1.0000000
##
## Individual: 2
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.2229067 0.09081471 0.08874889
## [2,] 0.22290671 1.0000000 -0.16523309 -0.16980324
## [3,] 0.09081471 -0.1652331 1.00000000 0.29601722
## [4,] 0.08874889 -0.1698032 0.29601722 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.06492024 0.20248953 0.2480515
## [2,] 0.06492024 1.00000000 -0.09211366 -0.2233496
## [3,] 0.20248953 -0.09211366 1.00000000 0.4823391
## [4,] 0.24805154 -0.22334957 0.48233908 1.0000000
##
## Individual: 3
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6579364 -0.4983082 -0.4752640
## [2,] 0.6579364 1.0000000 -0.4446084 -0.4609633
## [3,] -0.4983082 -0.4446084 1.0000000 0.6007448
## [4,] -0.4752640 -0.4609633 0.6007448 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6502972 -0.3534829 -0.4667834
## [2,] 0.6502972 1.0000000 -0.3984103 -0.4996224
## [3,] -0.3534829 -0.3984103 1.0000000 0.6204431
## [4,] -0.4667834 -0.4996224 0.6204431 1.0000000
##
## Individual: 4
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.56791987 -0.03301724 -0.06352399
## [2,] 0.56791987 1.00000000 0.09720237 -0.05007965
## [3,] -0.03301724 0.09720237 1.00000000 0.62900310
## [4,] -0.06352399 -0.05007965 0.62900310 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.65105229 0.2202914 0.06986386
## [2,] 0.65105229 1.00000000 0.2422850 -0.08813976
## [3,] 0.22029142 0.24228498 1.0000000 0.71628413
## [4,] 0.06986386 -0.08813976 0.7162841 1.00000000
##
## Individual: 5
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.7733437 -0.5582753 -0.03485793
## [2,] 0.77334366 1.0000000 -0.4510653 -0.14624135
## [3,] -0.55827535 -0.4510653 1.0000000 0.29904145
## [4,] -0.03485793 -0.1462414 0.2990415 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7990455 -0.6786787 -0.3120833
## [2,] 0.7990455 1.0000000 -0.6260625 -0.4736115
## [3,] -0.6786787 -0.6260625 1.0000000 0.5847172
## [4,] -0.3120833 -0.4736115 0.5847172 1.0000000
##
## Individual: 6
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4774606 -0.4318316 -0.4798377
## [2,] 0.4774606 1.0000000 -0.4398391 -0.5438325
## [3,] -0.4318316 -0.4398391 1.0000000 0.6633994
## [4,] -0.4798377 -0.5438325 0.6633994 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4627404 -0.4136302 -0.4373499
## [2,] 0.4627404 1.0000000 -0.3385808 -0.5443438
## [3,] -0.4136302 -0.3385808 1.0000000 0.7207811
## [4,] -0.4373499 -0.5443438 0.7207811 1.0000000
##
## Individual: 7
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.12381460 0.15902927 -0.2208643
## [2,] 0.1238146 1.00000000 0.00151675 0.1317064
## [3,] 0.1590293 0.00151675 1.00000000 0.1601968
## [4,] -0.2208643 0.13170641 0.16019680 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.11421321 0.14789411 -0.10484899
## [2,] 0.1142132 1.00000000 -0.06065664 0.06078367
## [3,] 0.1478941 -0.06065664 1.00000000 0.22139984
## [4,] -0.1048490 0.06078367 0.22139984 1.00000000
##
## Individual: 8
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6405233 -0.2294826 -0.2453930
## [2,] 0.6405233 1.0000000 -0.4920291 -0.3961667
## [3,] -0.2294826 -0.4920291 1.0000000 0.6306014
## [4,] -0.2453930 -0.3961667 0.6306014 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5600925 -0.1942148 -0.3906143
## [2,] 0.5600925 1.0000000 -0.4627897 -0.4996695
## [3,] -0.1942148 -0.4627897 1.0000000 0.6921603
## [4,] -0.3906143 -0.4996695 0.6921603 1.0000000
##
## Individual: 9
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3765211 -0.1384618 -0.1340127
## [2,] 0.3765211 1.0000000 -0.3951624 -0.4118393
## [3,] -0.1384618 -0.3951624 1.0000000 0.5472830
## [4,] -0.1340127 -0.4118393 0.5472830 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.1727390 -0.1921587 -0.2493156
## [2,] 0.1727390 1.0000000 -0.2341707 -0.4354433
## [3,] -0.1921587 -0.2341707 1.0000000 0.6050916
## [4,] -0.2493156 -0.4354433 0.6050916 1.0000000
##
## Individual: 10
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4562095 -0.3453574 -0.2030471
## [2,] 0.4562095 1.0000000 -0.3332408 -0.2065518
## [3,] -0.3453574 -0.3332408 1.0000000 0.5551665
## [4,] -0.2030471 -0.2065518 0.5551665 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5801222 -0.2541050 -0.3360171
## [2,] 0.5801222 1.0000000 -0.2313076 -0.4677152
## [3,] -0.2541050 -0.2313076 1.0000000 0.5190557
## [4,] -0.3360171 -0.4677152 0.5190557 1.0000000
##
## Individual: 11
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.67111424 -0.2223123 -0.13473035
## [2,] 0.6711142 1.00000000 -0.1206598 0.02895729
## [3,] -0.2223123 -0.12065979 1.0000000 0.32696339
## [4,] -0.1347304 0.02895729 0.3269634 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.58088596 -0.10945219 0.00794945
## [2,] 0.58088596 1.00000000 -0.04989415 -0.07182778
## [3,] -0.10945219 -0.04989415 1.00000000 0.36143502
## [4,] 0.00794945 -0.07182778 0.36143502 1.00000000
##
## Individual: 12
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5278951 -0.4982812 -0.1163159
## [2,] 0.5278951 1.0000000 -0.5343092 -0.4703143
## [3,] -0.4982812 -0.5343092 1.0000000 0.5538382
## [4,] -0.1163159 -0.4703143 0.5538382 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5542402 -0.3848256 -0.1019621
## [2,] 0.5542402 1.0000000 -0.4865519 -0.4846950
## [3,] -0.3848256 -0.4865519 1.0000000 0.5767204
## [4,] -0.1019621 -0.4846950 0.5767204 1.0000000
##
## Individual: 13
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4029088 -0.3592717 -0.2923937
## [2,] 0.4029088 1.0000000 -0.3360180 -0.1632952
## [3,] -0.3592717 -0.3360180 1.0000000 0.4807404
## [4,] -0.2923937 -0.1632952 0.4807404 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4597983 -0.3680541 -0.2069951
## [2,] 0.4597983 1.0000000 -0.4672444 -0.2277734
## [3,] -0.3680541 -0.4672444 1.0000000 0.4978471
## [4,] -0.2069951 -0.2277734 0.4978471 1.0000000
##
## Individual: 14
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.44172342 0.1029984 -0.15066582
## [2,] 0.4417234 1.00000000 0.0547912 0.08555812
## [3,] 0.1029984 0.05479120 1.0000000 0.63060539
## [4,] -0.1506658 0.08555812 0.6306054 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.9943155 0.9604814 0.8622904
## [2,] 0.9943155 1.0000000 0.9561934 0.8687434
## [3,] 0.9604814 0.9561934 1.0000000 0.9078007
## [4,] 0.8622904 0.8687434 0.9078007 1.0000000
##
## Individual: 15
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6680353 -0.2693402 -0.4588030
## [2,] 0.6680353 1.0000000 -0.3478900 -0.3655768
## [3,] -0.2693402 -0.3478900 1.0000000 0.4890764
## [4,] -0.4588030 -0.3655768 0.4890764 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6891618 -0.3492072 -0.5139480
## [2,] 0.6891618 1.0000000 -0.3532778 -0.5014586
## [3,] -0.3492072 -0.3532778 1.0000000 0.5750609
## [4,] -0.5139480 -0.5014586 0.5750609 1.0000000
##
## Individual: 16
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2198169 -0.7841744 -0.5934979
## [2,] 0.2198169 1.0000000 -0.1335733 -0.1621855
## [3,] -0.7841744 -0.1335733 1.0000000 0.6772199
## [4,] -0.5934979 -0.1621855 0.6772199 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2835660 -0.7226588 -0.5794414
## [2,] 0.2835660 1.0000000 -0.2340883 -0.2345702
## [3,] -0.7226588 -0.2340883 1.0000000 0.6583759
## [4,] -0.5794414 -0.2345702 0.6583759 1.0000000
##
## Individual: 17
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3487913 -0.2394880 -0.3330882
## [2,] 0.3487913 1.0000000 -0.1878655 -0.3333828
## [3,] -0.2394880 -0.1878655 1.0000000 0.5416668
## [4,] -0.3330882 -0.3333828 0.5416668 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5354880 -0.4096380 -0.4243364
## [2,] 0.5354880 1.0000000 -0.3403812 -0.4451100
## [3,] -0.4096380 -0.3403812 1.0000000 0.6694502
## [4,] -0.4243364 -0.4451100 0.6694502 1.0000000
##
## Individual: 18
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4073146 -0.2579955 -0.4031654
## [2,] 0.4073146 1.0000000 -0.1740150 -0.2444416
## [3,] -0.2579955 -0.1740150 1.0000000 0.6814247
## [4,] -0.4031654 -0.2444416 0.6814247 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.4656177 0.04086335 -0.1141648
## [2,] 0.46561769 1.0000000 -0.11275284 -0.1696839
## [3,] 0.04086335 -0.1127528 1.00000000 0.5324708
## [4,] -0.11416477 -0.1696839 0.53247083 1.0000000
##
## Individual: 19
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.599024719 -0.177717632 -0.29838306
## [2,] 0.5990247 1.000000000 -0.007921077 -0.38201200
## [3,] -0.1777176 -0.007921077 1.000000000 -0.08830013
## [4,] -0.2983831 -0.382012003 -0.088300134 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6510544 -0.3229701 -0.1886845
## [2,] 0.6510544 1.0000000 -0.2088623 -0.3909307
## [3,] -0.3229701 -0.2088623 1.0000000 0.1326762
## [4,] -0.1886845 -0.3909307 0.1326762 1.0000000
##
## Individual: 20
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4663117 -0.4512796 -0.3419628
## [2,] 0.4663117 1.0000000 -0.5362868 -0.5249732
## [3,] -0.4512796 -0.5362868 1.0000000 0.5280584
## [4,] -0.3419628 -0.5249732 0.5280584 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5210594 -0.4426755 -0.3765095
## [2,] 0.5210594 1.0000000 -0.4476902 -0.5062515
## [3,] -0.4426755 -0.4476902 1.0000000 0.6474894
## [4,] -0.3765095 -0.5062515 0.6474894 1.0000000
##
## Individual: 21
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.3938702 -0.2984844 0.03469054
## [2,] 0.39387017 1.0000000 -0.4383433 -0.18326820
## [3,] -0.29848437 -0.4383433 1.0000000 0.67738215
## [4,] 0.03469054 -0.1832682 0.6773822 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1 1 1 -1
## [2,] 1 1 1 -1
## [3,] 1 1 1 -1
## [4,] -1 -1 -1 1
##
## Individual: 22
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5442373 -0.1950853 -0.3511308
## [2,] 0.5442373 1.0000000 -0.3158613 -0.3509693
## [3,] -0.1950853 -0.3158613 1.0000000 0.4222232
## [4,] -0.3511308 -0.3509693 0.4222232 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4986492 -0.2209342 -0.2757895
## [2,] 0.4986492 1.0000000 -0.2903905 -0.3180181
## [3,] -0.2209342 -0.2903905 1.0000000 0.3726295
## [4,] -0.2757895 -0.3180181 0.3726295 1.0000000
##
## Individual: 23
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4409914 -0.32534664 -0.16866499
## [2,] 0.4409914 1.0000000 -0.16367783 -0.18305946
## [3,] -0.3253466 -0.1636778 1.00000000 0.04414377
## [4,] -0.1686650 -0.1830595 0.04414377 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.12646508 -0.10943507 0.4073103
## [2,] 0.1264651 1.00000000 -0.04943633 -0.3483304
## [3,] -0.1094351 -0.04943633 1.00000000 0.2086221
## [4,] 0.4073103 -0.34833039 0.20862213 1.0000000
##
## Individual: 24
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5660740 -0.4110413 -0.3982368
## [2,] 0.5660740 1.0000000 -0.3824101 -0.5398052
## [3,] -0.4110413 -0.3824101 1.0000000 0.4795195
## [4,] -0.3982368 -0.5398052 0.4795195 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5717236 -0.3597698 -0.3749846
## [2,] 0.5717236 1.0000000 -0.4290814 -0.5955753
## [3,] -0.3597698 -0.4290814 1.0000000 0.6852610
## [4,] -0.3749846 -0.5955753 0.6852610 1.0000000
##
## Individual: 25
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.36475271 -0.44928583 -0.4572539
## [2,] 0.3647527 1.00000000 -0.08540988 -0.3420193
## [3,] -0.4492858 -0.08540988 1.00000000 0.4199216
## [4,] -0.4572539 -0.34201932 0.41992162 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3608882 -0.4914099 -0.3630390
## [2,] 0.3608882 1.0000000 -0.1034313 -0.3539639
## [3,] -0.4914099 -0.1034313 1.0000000 0.3618085
## [4,] -0.3630390 -0.3539639 0.3618085 1.0000000
##
## Individual: 26
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.55959718 -0.4177132 -0.14640553
## [2,] 0.5595972 1.00000000 -0.4822383 -0.05550555
## [3,] -0.4177132 -0.48223831 1.0000000 -0.12014477
## [4,] -0.1464055 -0.05550555 -0.1201448 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.000000000 0.6961903 -0.004944624 0.0321719
## [2,] 0.696190345 1.0000000 -0.213800124 -0.1977892
## [3,] -0.004944624 -0.2138001 1.000000000 0.8411890
## [4,] 0.032171896 -0.1977892 0.841188971 1.0000000
##
## Individual: 27
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.2368950 -0.06985394 0.01720272
## [2,] 0.23689500 1.0000000 0.26051306 0.12554660
## [3,] -0.06985394 0.2605131 1.00000000 0.47166334
## [4,] 0.01720272 0.1255466 0.47166334 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.13823548 0.11501613 0.06175092
## [2,] 0.13823548 1.00000000 -0.03263686 -0.06553266
## [3,] 0.11501613 -0.03263686 1.00000000 0.58528857
## [4,] 0.06175092 -0.06553266 0.58528857 1.00000000
##
## Individual: 28
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.000000000 0.45844527 -0.003455601 -0.06155817
## [2,] 0.458445267 1.00000000 0.035134348 -0.30532411
## [3,] -0.003455601 0.03513435 1.000000000 0.29666008
## [4,] -0.061558172 -0.30532411 0.296660082 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.5033753 -0.02537893 -0.1697862
## [2,] 0.50337529 1.0000000 -0.24507360 -0.4547635
## [3,] -0.02537893 -0.2450736 1.00000000 0.4926576
## [4,] -0.16978616 -0.4547635 0.49265760 1.0000000
##
## Individual: 29
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 -0.4350644 0.1262932 0.1120217
## [2,] -0.4350644 1.0000000 -0.2905243 -0.3781318
## [3,] 0.1262932 -0.2905243 1.0000000 0.6517453
## [4,] 0.1120217 -0.3781318 0.6517453 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.04602215 -0.03557545 -0.03373289
## [2,] 0.04602215 1.00000000 -0.33540836 -0.57429950
## [3,] -0.03557545 -0.33540836 1.00000000 0.64013792
## [4,] -0.03373289 -0.57429950 0.64013792 1.00000000
##
## Individual: 30
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5767792 -0.2634404 -0.2104022
## [2,] 0.5767792 1.0000000 -0.5309433 -0.5446374
## [3,] -0.2634404 -0.5309433 1.0000000 0.6965491
## [4,] -0.2104022 -0.5446374 0.6965491 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5344052 -0.1554245 -0.1438290
## [2,] 0.5344052 1.0000000 -0.5742919 -0.6190395
## [3,] -0.1554245 -0.5742919 1.0000000 0.7387692
## [4,] -0.1438290 -0.6190395 0.7387692 1.0000000
##
## Individual: 31
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.3341896 -0.01460477 -0.1201202
## [2,] 0.33418958 1.0000000 -0.21977184 -0.1634685
## [3,] -0.01460477 -0.2197718 1.00000000 0.7281710
## [4,] -0.12012017 -0.1634685 0.72817099 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.41760629 -0.03070476 0.07646404
## [2,] 0.41760629 1.00000000 -0.17568441 -0.09140123
## [3,] -0.03070476 -0.17568441 1.00000000 0.59993432
## [4,] 0.07646404 -0.09140123 0.59993432 1.00000000
##
## Individual: 32
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2543634 0.1577347 0.1124576
## [2,] 0.2543634 1.0000000 0.5062933 0.3655889
## [3,] 0.1577347 0.5062933 1.0000000 0.7315755
## [4,] 0.1124576 0.3655889 0.7315755 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3186872 -0.3854179 -0.4102460
## [2,] 0.3186872 1.0000000 -0.0291610 -0.0502448
## [3,] -0.3854179 -0.0291610 1.0000000 0.9803859
## [4,] -0.4102460 -0.0502448 0.9803859 1.0000000
##
## Individual: 33
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1 1 1 -1
## [2,] 1 1 1 -1
## [3,] 1 1 1 -1
## [4,] -1 -1 -1 1
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.8113299 0.5026733 -0.9963832
## [2,] 0.8113299 1.0000000 0.7893732 -0.8133795
## [3,] 0.5026733 0.7893732 1.0000000 -0.4585062
## [4,] -0.9963832 -0.8133795 -0.4585062 1.0000000
##
## Individual: 34
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.19495804 -0.3356730 -0.13943525
## [2,] 0.1949580 1.00000000 -0.1207455 -0.05260459
## [3,] -0.3356730 -0.12074545 1.0000000 0.56114155
## [4,] -0.1394352 -0.05260459 0.5611416 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.19117549 -0.18081835 -0.1652940
## [2,] 0.1911755 1.00000000 -0.04869996 -0.1052453
## [3,] -0.1808184 -0.04869996 1.00000000 0.7201626
## [4,] -0.1652940 -0.10524535 0.72016261 1.0000000
##
## Individual: 35
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6585103 -0.3483307 -0.4753171
## [2,] 0.6585103 1.0000000 -0.3287172 -0.4877264
## [3,] -0.3483307 -0.3287172 1.0000000 0.7253588
## [4,] -0.4753171 -0.4877264 0.7253588 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5852849 -0.2865751 -0.4192906
## [2,] 0.5852849 1.0000000 -0.3042067 -0.5127668
## [3,] -0.2865751 -0.3042067 1.0000000 0.7152037
## [4,] -0.4192906 -0.5127668 0.7152037 1.0000000
##
## Individual: 36
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7794920 -0.7773391 -0.6849401
## [2,] 0.7794920 1.0000000 -0.7381469 -0.7163745
## [3,] -0.7773391 -0.7381469 1.0000000 0.8012354
## [4,] -0.6849401 -0.7163745 0.8012354 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7614875 -0.7815275 -0.708332
## [2,] 0.7614875 1.0000000 -0.7657622 -0.740477
## [3,] -0.7815275 -0.7657622 1.0000000 0.810526
## [4,] -0.7083320 -0.7404770 0.8105260 1.000000
##
## Individual: 37
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.52131811 -0.1734890 0.02079563
## [2,] 0.52131811 1.00000000 -0.1659152 0.08159233
## [3,] -0.17348896 -0.16591523 1.0000000 0.20979142
## [4,] 0.02079563 0.08159233 0.2097914 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.45626763 -0.09389952 -0.03427493
## [2,] 0.45626763 1.00000000 -0.25281706 -0.03318932
## [3,] -0.09389952 -0.25281706 1.00000000 0.22665229
## [4,] -0.03427493 -0.03318932 0.22665229 1.00000000
##
## Individual: 38
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7608324 -0.3456743 -0.3552277
## [2,] 0.7608324 1.0000000 -0.4195890 -0.4063475
## [3,] -0.3456743 -0.4195890 1.0000000 0.5387229
## [4,] -0.3552277 -0.4063475 0.5387229 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7473736 -0.3249185 -0.3434304
## [2,] 0.7473736 1.0000000 -0.4009405 -0.4875802
## [3,] -0.3249185 -0.4009405 1.0000000 0.6275356
## [4,] -0.3434304 -0.4875802 0.6275356 1.0000000
##
## Individual: 39
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3845950 -0.2137378 -0.1731150
## [2,] 0.3845950 1.0000000 -0.5741106 -0.4989101
## [3,] -0.2137378 -0.5741106 1.0000000 0.5978136
## [4,] -0.1731150 -0.4989101 0.5978136 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4951413 -0.1249336 -0.1478588
## [2,] 0.4951413 1.0000000 -0.4815659 -0.4718838
## [3,] -0.1249336 -0.4815659 1.0000000 0.5257268
## [4,] -0.1478588 -0.4718838 0.5257268 1.0000000
##
## Individual: 40
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6739744 -0.2560967 -0.2992307
## [2,] 0.6739744 1.0000000 -0.1281744 -0.1878042
## [3,] -0.2560967 -0.1281744 1.0000000 0.6994144
## [4,] -0.2992307 -0.1878042 0.6994144 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6745315 -0.3161316 -0.3225271
## [2,] 0.6745315 1.0000000 -0.3068780 -0.3846407
## [3,] -0.3161316 -0.3068780 1.0000000 0.7857223
## [4,] -0.3225271 -0.3846407 0.7857223 1.0000000
##
## Individual: 41
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5600110 -0.4966121 -0.2459618
## [2,] 0.5600110 1.0000000 -0.5360072 -0.3121899
## [3,] -0.4966121 -0.5360072 1.0000000 0.5792604
## [4,] -0.2459618 -0.3121899 0.5792604 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4733807 -0.2847008 -0.1973646
## [2,] 0.4733807 1.0000000 -0.5472948 -0.4539480
## [3,] -0.2847008 -0.5472948 1.0000000 0.6587603
## [4,] -0.1973646 -0.4539480 0.6587603 1.0000000
##
## Individual: 42
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2770667 -0.3247345 -0.3522350
## [2,] 0.2770667 1.0000000 -0.1901716 -0.2445578
## [3,] -0.3247345 -0.1901716 1.0000000 0.4857445
## [4,] -0.3522350 -0.2445578 0.4857445 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2572689 -0.2380078 -0.2515135
## [2,] 0.2572689 1.0000000 -0.1722926 -0.2478295
## [3,] -0.2380078 -0.1722926 1.0000000 0.4395768
## [4,] -0.2515135 -0.2478295 0.4395768 1.0000000
##
## Individual: 43
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5763069 -0.4719776 -0.4805291
## [2,] 0.5763069 1.0000000 -0.6033678 -0.5848168
## [3,] -0.4719776 -0.6033678 1.0000000 0.7167320
## [4,] -0.4805291 -0.5848168 0.7167320 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5257711 -0.3425808 -0.3845367
## [2,] 0.5257711 1.0000000 -0.5647704 -0.6177400
## [3,] -0.3425808 -0.5647704 1.0000000 0.7111623
## [4,] -0.3845367 -0.6177400 0.7111623 1.0000000
##
## Individual: 44
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.62476938 -0.22092052 -0.2974501
## [2,] 0.6247694 1.00000000 0.08664658 -0.0570210
## [3,] -0.2209205 0.08664658 1.00000000 0.3295665
## [4,] -0.2974501 -0.05702100 0.32956647 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4224004 -0.3966344 0.2701114
## [2,] 0.4224004 1.0000000 0.2332267 -0.3708985
## [3,] -0.3966344 0.2332267 1.0000000 -0.5287251
## [4,] 0.2701114 -0.3708985 -0.5287251 1.0000000
##
## Individual: 45
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5434782 -0.3798646 -0.4902360
## [2,] 0.5434782 1.0000000 -0.2779582 -0.6143037
## [3,] -0.3798646 -0.2779582 1.0000000 0.2766831
## [4,] -0.4902360 -0.6143037 0.2766831 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4520377 -0.1925213 -0.3173735
## [2,] 0.4520377 1.0000000 -0.2240396 -0.6680801
## [3,] -0.1925213 -0.2240396 1.0000000 0.3832589
## [4,] -0.3173735 -0.6680801 0.3832589 1.0000000
##
## Individual: 46
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5324597 -0.3417220 -0.2463662
## [2,] 0.5324597 1.0000000 -0.4324069 -0.1891569
## [3,] -0.3417220 -0.4324069 1.0000000 0.5842523
## [4,] -0.2463662 -0.1891569 0.5842523 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5443940 -0.2161316 -0.2010846
## [2,] 0.5443940 1.0000000 -0.3864946 -0.2526510
## [3,] -0.2161316 -0.3864946 1.0000000 0.5987756
## [4,] -0.2010846 -0.2526510 0.5987756 1.0000000
##
## Individual: 47
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6723824 -0.2927025 -0.3236798
## [2,] 0.6723824 1.0000000 -0.3000375 -0.5567618
## [3,] -0.2927025 -0.3000375 1.0000000 0.4231000
## [4,] -0.3236798 -0.5567618 0.4231000 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5770658 -0.2242026 -0.3376926
## [2,] 0.5770658 1.0000000 -0.3736248 -0.5363055
## [3,] -0.2242026 -0.3736248 1.0000000 0.5037378
## [4,] -0.3376926 -0.5363055 0.5037378 1.0000000
##
## Individual: 48
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7188816 -0.6679435 -0.6559549
## [2,] 0.7188816 1.0000000 -0.5752927 -0.5867486
## [3,] -0.6679435 -0.5752927 1.0000000 0.8737925
## [4,] -0.6559549 -0.5867486 0.8737925 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6366993 -0.6154646 -0.6582084
## [2,] 0.6366993 1.0000000 -0.6115141 -0.6106362
## [3,] -0.6154646 -0.6115141 1.0000000 0.8653853
## [4,] -0.6582084 -0.6106362 0.8653853 1.0000000
##
## Individual: 49
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7306029 -0.4617894 -0.3356804
## [2,] 0.7306029 1.0000000 -0.3579848 -0.2144997
## [3,] -0.4617894 -0.3579848 1.0000000 0.6824478
## [4,] -0.3356804 -0.2144997 0.6824478 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7494091 -0.5418563 -0.5373436
## [2,] 0.7494091 1.0000000 -0.4009613 -0.3385191
## [3,] -0.5418563 -0.4009613 1.0000000 0.6606115
## [4,] -0.5373436 -0.3385191 0.6606115 1.0000000
##
## Individual: 50
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1 1 -1 -1
## [2,] 1 1 -1 -1
## [3,] -1 -1 1 1
## [4,] -1 -1 1 1
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1 1 -1 -1
## [2,] 1 1 -1 -1
## [3,] -1 -1 1 1
## [4,] -1 -1 1 1
##
## Individual: 51
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4399981 -0.1844556 -0.2665719
## [2,] 0.4399981 1.0000000 -0.3735598 -0.3926401
## [3,] -0.1844556 -0.3735598 1.0000000 0.8990355
## [4,] -0.2665719 -0.3926401 0.8990355 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.000000000 0.5417522 -0.004996123 -0.09844174
## [2,] 0.541752200 1.0000000 -0.222723311 -0.30914213
## [3,] -0.004996123 -0.2227233 1.000000000 0.92315292
## [4,] -0.098441742 -0.3091421 0.923152916 1.00000000
##
## Individual: 52
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5623823 -0.2829090 -0.3189776
## [2,] 0.5623823 1.0000000 -0.2660430 -0.3342313
## [3,] -0.2829090 -0.2660430 1.0000000 0.6517342
## [4,] -0.3189776 -0.3342313 0.6517342 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5957668 -0.2486638 -0.3368833
## [2,] 0.5957668 1.0000000 -0.2814224 -0.4209557
## [3,] -0.2486638 -0.2814224 1.0000000 0.6632011
## [4,] -0.3368833 -0.4209557 0.6632011 1.0000000
##
## Individual: 53
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.3472178 -0.1051572 0.07940424
## [2,] 0.34721778 1.0000000 -0.1121058 -0.16507041
## [3,] -0.10515724 -0.1121058 1.0000000 0.65173038
## [4,] 0.07940424 -0.1650704 0.6517304 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.4812647 -0.3392398 -0.08585726
## [2,] 0.48126470 1.0000000 -0.4606790 -0.33181317
## [3,] -0.33923982 -0.4606790 1.0000000 0.67529293
## [4,] -0.08585726 -0.3318132 0.6752929 1.00000000
##
## Individual: 54
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.1110986 -0.2484443 -0.2831761
## [2,] 0.1110986 1.0000000 -0.1423409 -0.3028697
## [3,] -0.2484443 -0.1423409 1.0000000 0.5217115
## [4,] -0.2831761 -0.3028697 0.5217115 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 -0.01768809 -0.29861659 -0.1985524
## [2,] -0.01768809 1.00000000 0.01298615 -0.1929936
## [3,] -0.29861659 0.01298615 1.00000000 0.3118346
## [4,] -0.19855243 -0.19299362 0.31183459 1.0000000
##
## Individual: 55
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.25100196 -0.10437211 -0.1965768
## [2,] 0.2510020 1.00000000 -0.06628925 -0.3459182
## [3,] -0.1043721 -0.06628925 1.00000000 0.2837280
## [4,] -0.1965768 -0.34591823 0.28372797 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3441527 -0.1759805 -0.2163114
## [2,] 0.3441527 1.0000000 -0.3507917 -0.5820528
## [3,] -0.1759805 -0.3507917 1.0000000 0.5638360
## [4,] -0.2163114 -0.5820528 0.5638360 1.0000000
##
## Individual: 56
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3462977 -0.1181267 -0.2039538
## [2,] 0.3462977 1.0000000 -0.1819588 -0.1233699
## [3,] -0.1181267 -0.1819588 1.0000000 0.6337165
## [4,] -0.2039538 -0.1233699 0.6337165 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.000000000 0.39373022 -0.009354423 -0.1966133
## [2,] 0.393730216 1.00000000 -0.037484959 -0.1896954
## [3,] -0.009354423 -0.03748496 1.000000000 0.5629240
## [4,] -0.196613281 -0.18969537 0.562924005 1.0000000
##
## Individual: 57
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.4339884 0.07009105 -0.03157351
## [2,] 0.43398841 1.0000000 -0.35227327 -0.39877456
## [3,] 0.07009105 -0.3522733 1.00000000 0.50351390
## [4,] -0.03157351 -0.3987746 0.50351390 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4489024 0.2466720 0.1460675
## [2,] 0.4489024 1.0000000 -0.2121791 -0.2990738
## [3,] 0.2466720 -0.2121791 1.0000000 0.6528124
## [4,] 0.1460675 -0.2990738 0.6528124 1.0000000
##
## Individual: 58
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.000000000 0.1247825 -0.04974741 0.006607303
## [2,] 0.124782476 1.0000000 -0.11625131 -0.145096773
## [3,] -0.049747411 -0.1162513 1.00000000 0.662682304
## [4,] 0.006607303 -0.1450968 0.66268230 1.000000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.2082623 -0.07798531 0.02113397
## [2,] 0.20826226 1.0000000 -0.25706718 -0.28329781
## [3,] -0.07798531 -0.2570672 1.00000000 0.68915343
## [4,] 0.02113397 -0.2832978 0.68915343 1.00000000
##
## Individual: 59
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5428407 -0.1933795 -0.2362792
## [2,] 0.5428407 1.0000000 -0.4014372 -0.3277106
## [3,] -0.1933795 -0.4014372 1.0000000 0.6545209
## [4,] -0.2362792 -0.3277106 0.6545209 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5360426 -0.1720487 -0.1672002
## [2,] 0.5360426 1.0000000 -0.5030989 -0.4327811
## [3,] -0.1720487 -0.5030989 1.0000000 0.7243422
## [4,] -0.1672002 -0.4327811 0.7243422 1.0000000
##
## Individual: 60
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7768960 -0.5264960 -0.5750437
## [2,] 0.7768960 1.0000000 -0.4895684 -0.5551317
## [3,] -0.5264960 -0.4895684 1.0000000 0.6295898
## [4,] -0.5750437 -0.5551317 0.6295898 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.8901717 -0.6664296 -0.5209499
## [2,] 0.8901717 1.0000000 -0.6912345 -0.5538558
## [3,] -0.6664296 -0.6912345 1.0000000 0.6914538
## [4,] -0.5209499 -0.5538558 0.6914538 1.0000000
##
## Individual: 61
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4040050 -0.3409738 -0.1551534
## [2,] 0.4040050 1.0000000 -0.3897837 -0.2029336
## [3,] -0.3409738 -0.3897837 1.0000000 0.3937754
## [4,] -0.1551534 -0.2029336 0.3937754 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3828099 -0.2028026 -0.1149093
## [2,] 0.3828099 1.0000000 -0.3124147 -0.3228167
## [3,] -0.2028026 -0.3124147 1.0000000 0.4562608
## [4,] -0.1149093 -0.3228167 0.4562608 1.0000000
##
## Individual: 62
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7277634 -0.5494301 -0.4825685
## [2,] 0.7277634 1.0000000 -0.6651564 -0.6705387
## [3,] -0.5494301 -0.6651564 1.0000000 0.7043298
## [4,] -0.4825685 -0.6705387 0.7043298 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6221029 -0.5120191 -0.4325304
## [2,] 0.6221029 1.0000000 -0.5521885 -0.6142332
## [3,] -0.5120191 -0.5521885 1.0000000 0.7649933
## [4,] -0.4325304 -0.6142332 0.7649933 1.0000000
##
## Individual: 63
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6609744 -0.7138767 -0.6148602
## [2,] 0.6609744 1.0000000 -0.7336979 -0.4933522
## [3,] -0.7138767 -0.7336979 1.0000000 0.7932446
## [4,] -0.6148602 -0.4933522 0.7932446 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6976637 -0.7173393 -0.6814636
## [2,] 0.6976637 1.0000000 -0.7109670 -0.6423116
## [3,] -0.7173393 -0.7109670 1.0000000 0.8356235
## [4,] -0.6814636 -0.6423116 0.8356235 1.0000000
##
## Individual: 64
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5905861 -0.3892967 -0.4402419
## [2,] 0.5905861 1.0000000 -0.2727085 -0.2892334
## [3,] -0.3892967 -0.2727085 1.0000000 0.7646309
## [4,] -0.4402419 -0.2892334 0.7646309 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7500709 -0.4558674 -0.5587107
## [2,] 0.7500709 1.0000000 -0.3970510 -0.4830809
## [3,] -0.4558674 -0.3970510 1.0000000 0.7947317
## [4,] -0.5587107 -0.4830809 0.7947317 1.0000000
##
## Individual: 65
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5044160 0.1601683 -0.2919347
## [2,] 0.5044160 1.0000000 -0.1629511 -0.3349134
## [3,] 0.1601683 -0.1629511 1.0000000 0.3545154
## [4,] -0.2919347 -0.3349134 0.3545154 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.5361158 0.02702784 -0.3218463
## [2,] 0.53611579 1.0000000 -0.24724000 -0.4730948
## [3,] 0.02702784 -0.2472400 1.00000000 0.5033271
## [4,] -0.32184630 -0.4730948 0.50332715 1.0000000
##
## Individual: 66
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5358862 -0.5036086 -0.5301490
## [2,] 0.5358862 1.0000000 -0.5667177 -0.4060204
## [3,] -0.5036086 -0.5667177 1.0000000 0.6514965
## [4,] -0.5301490 -0.4060204 0.6514965 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6105496 -0.4747894 -0.5272899
## [2,] 0.6105496 1.0000000 -0.5241513 -0.4533208
## [3,] -0.4747894 -0.5241513 1.0000000 0.6566078
## [4,] -0.5272899 -0.4533208 0.6566078 1.0000000
##
## Individual: 67
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6704469 -0.3936560 -0.4298318
## [2,] 0.6704469 1.0000000 -0.3639592 -0.5003839
## [3,] -0.3936560 -0.3639592 1.0000000 0.4835895
## [4,] -0.4298318 -0.5003839 0.4835895 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6511913 -0.2776901 -0.3985312
## [2,] 0.6511913 1.0000000 -0.4072592 -0.6035380
## [3,] -0.2776901 -0.4072592 1.0000000 0.6814951
## [4,] -0.3985312 -0.6035380 0.6814951 1.0000000
##
## Individual: 68
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6242630 -0.4451908 -0.4669617
## [2,] 0.6242630 1.0000000 -0.5592488 -0.6328748
## [3,] -0.4451908 -0.5592488 1.0000000 0.7264533
## [4,] -0.4669617 -0.6328748 0.7264533 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6700666 -0.5243700 -0.4486355
## [2,] 0.6700666 1.0000000 -0.6423429 -0.6499433
## [3,] -0.5243700 -0.6423429 1.0000000 0.7480155
## [4,] -0.4486355 -0.6499433 0.7480155 1.0000000
##
## Individual: 69
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4661364 -0.1188516 -0.3817373
## [2,] 0.4661364 1.0000000 -0.2939032 -0.4893788
## [3,] -0.1188516 -0.2939032 1.0000000 0.5818450
## [4,] -0.3817373 -0.4893788 0.5818450 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5184897 -0.1514744 -0.4141426
## [2,] 0.5184897 1.0000000 -0.2767324 -0.4200929
## [3,] -0.1514744 -0.2767324 1.0000000 0.6641517
## [4,] -0.4141426 -0.4200929 0.6641517 1.0000000
##
## Individual: 70
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6209821 -0.3715699 -0.4607667
## [2,] 0.6209821 1.0000000 -0.2811250 -0.4180274
## [3,] -0.3715699 -0.2811250 1.0000000 0.6069407
## [4,] -0.4607667 -0.4180274 0.6069407 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5671472 -0.2931299 -0.3523749
## [2,] 0.5671472 1.0000000 -0.2837227 -0.3029262
## [3,] -0.2931299 -0.2837227 1.0000000 0.4867578
## [4,] -0.3523749 -0.3029262 0.4867578 1.0000000
##
## Individual: 71
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.1092660 -0.1457012 -0.2928950
## [2,] 0.1092660 1.0000000 -0.3817529 -0.2886468
## [3,] -0.1457012 -0.3817529 1.0000000 0.7174527
## [4,] -0.2928950 -0.2886468 0.7174527 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3517427 -0.1469847 -0.1863495
## [2,] 0.3517427 1.0000000 -0.4182378 -0.3614057
## [3,] -0.1469847 -0.4182378 1.0000000 0.7820582
## [4,] -0.1863495 -0.3614057 0.7820582 1.0000000
##
## Individual: 72
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.43740535 -0.32789582 -0.10539159
## [2,] 0.4374053 1.00000000 -0.08077412 -0.03852466
## [3,] -0.3278958 -0.08077412 1.00000000 0.51331621
## [4,] -0.1053916 -0.03852466 0.51331621 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5591462 -0.4623493 -0.2672575
## [2,] 0.5591462 1.0000000 -0.3016582 -0.3263581
## [3,] -0.4623493 -0.3016582 1.0000000 0.7001494
## [4,] -0.2672575 -0.3263581 0.7001494 1.0000000
##
## Individual: 73
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1 -1 -1 -1
## [2,] -1 1 1 1
## [3,] -1 1 1 1
## [4,] -1 1 1 1
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 -0.18670139 -0.70396985 -0.6659434
## [2,] -0.1867014 1.00000000 -0.03927149 -0.1051504
## [3,] -0.7039698 -0.03927149 1.00000000 0.9912050
## [4,] -0.6659434 -0.10515035 0.99120501 1.0000000
##
## Individual: 74
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.8070887 -0.6230171 -0.5864334
## [2,] 0.8070887 1.0000000 -0.7437879 -0.6552856
## [3,] -0.6230171 -0.7437879 1.0000000 0.8193660
## [4,] -0.5864334 -0.6552856 0.8193660 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.8093589 -0.6379068 -0.5682892
## [2,] 0.8093589 1.0000000 -0.7178682 -0.6398631
## [3,] -0.6379068 -0.7178682 1.0000000 0.7917224
## [4,] -0.5682892 -0.6398631 0.7917224 1.0000000
##
## Individual: 75
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.5512737 -0.08059566 0.02988727
## [2,] 0.55127369 1.0000000 -0.30072477 -0.27551251
## [3,] -0.08059566 -0.3007248 1.00000000 0.08999796
## [4,] 0.02988727 -0.2755125 0.08999796 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.4510794 0.02537082 0.02758678
## [2,] 0.45107942 1.0000000 -0.24616267 -0.34099484
## [3,] 0.02537082 -0.2461627 1.00000000 0.40854610
## [4,] 0.02758678 -0.3409948 0.40854610 1.00000000
##
## Individual: 76
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6419436 -0.1438086 -0.3289807
## [2,] 0.6419436 1.0000000 -0.0179086 -0.1558580
## [3,] -0.1438086 -0.0179086 1.0000000 0.5562280
## [4,] -0.3289807 -0.1558580 0.5562280 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.49722440 -0.23287946 -0.3732260
## [2,] 0.4972244 1.00000000 0.03389413 -0.1754930
## [3,] -0.2328795 0.03389413 1.00000000 0.6390618
## [4,] -0.3732260 -0.17549303 0.63906178 1.0000000
##
## Individual: 77
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1 -1 -1 -1
## [2,] -1 1 1 1
## [3,] -1 1 1 1
## [4,] -1 1 1 1
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4709391 -0.6110503 -0.9918445
## [2,] 0.4709391 1.0000000 0.3530502 -0.4949059
## [3,] -0.6110503 0.3530502 1.0000000 0.6044493
## [4,] -0.9918445 -0.4949059 0.6044493 1.0000000
##
## Individual: 78
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 -0.9400212 -0.9935119 -0.9304196
## [2,] -0.9400212 1.0000000 0.9727167 0.7495964
## [3,] -0.9935119 0.9727167 1.0000000 0.8827021
## [4,] -0.9304196 0.7495964 0.8827021 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1 NaN NaN NaN
## [2,] NaN 1 NaN NaN
## [3,] NaN NaN 1 NaN
## [4,] NaN NaN NaN 1
##
## Individual: 79
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5979282 -0.2388839 -0.4296152
## [2,] 0.5979282 1.0000000 -0.5571992 -0.6718683
## [3,] -0.2388839 -0.5571992 1.0000000 0.5723504
## [4,] -0.4296152 -0.6718683 0.5723504 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5510286 -0.1314834 -0.4089588
## [2,] 0.5510286 1.0000000 -0.4647199 -0.6231814
## [3,] -0.1314834 -0.4647199 1.0000000 0.5135616
## [4,] -0.4089588 -0.6231814 0.5135616 1.0000000
##
## Individual: 80
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.3430411 -0.06662212 -0.07151909
## [2,] 0.34304111 1.0000000 -0.26601331 -0.21869966
## [3,] -0.06662212 -0.2660133 1.00000000 0.56334018
## [4,] -0.07151909 -0.2186997 0.56334018 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.3685608 -0.0117139 -0.03194761
## [2,] 0.36856079 1.0000000 -0.2870712 -0.25073143
## [3,] -0.01171390 -0.2870712 1.0000000 0.60350193
## [4,] -0.03194761 -0.2507314 0.6035019 1.00000000
##
## Individual: 81
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.3496142 -0.1130801 0.05946497
## [2,] 0.34961419 1.0000000 -0.2409382 -0.32716795
## [3,] -0.11308012 -0.2409382 1.0000000 0.53788053
## [4,] 0.05946497 -0.3271680 0.5378805 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.4209752 -0.2114492 0.04845453
## [2,] 0.42097518 1.0000000 -0.3776711 -0.36925725
## [3,] -0.21144915 -0.3776711 1.0000000 0.54525799
## [4,] 0.04845453 -0.3692572 0.5452580 1.00000000
##
## Individual: 82
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.19928706 0.0688559 -0.06827840
## [2,] 0.1992871 1.00000000 -0.1824748 -0.02114699
## [3,] 0.0688559 -0.18247483 1.0000000 0.60429937
## [4,] -0.0682784 -0.02114699 0.6042994 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2731495 -0.0589621 -0.1503454
## [2,] 0.2731495 1.0000000 -0.2866984 -0.1990865
## [3,] -0.0589621 -0.2866984 1.0000000 0.6890961
## [4,] -0.1503454 -0.1990865 0.6890961 1.0000000
##
## Individual: 83
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7035807 -0.4902624 -0.4007595
## [2,] 0.7035807 1.0000000 -0.3981739 -0.4097123
## [3,] -0.4902624 -0.3981739 1.0000000 0.6553181
## [4,] -0.4007595 -0.4097123 0.6553181 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7736732 -0.3349437 -0.2109582
## [2,] 0.7736732 1.0000000 -0.3643883 -0.3629990
## [3,] -0.3349437 -0.3643883 1.0000000 0.7639680
## [4,] -0.2109582 -0.3629990 0.7639680 1.0000000
##
## Individual: 84
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7443152 -0.7166392 -0.3630155
## [2,] 0.7443152 1.0000000 -0.6793519 -0.4639484
## [3,] -0.7166392 -0.6793519 1.0000000 0.5744756
## [4,] -0.3630155 -0.4639484 0.5744756 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7809716 -0.6878749 -0.2862433
## [2,] 0.7809716 1.0000000 -0.6222326 -0.2807568
## [3,] -0.6878749 -0.6222326 1.0000000 0.6006624
## [4,] -0.2862433 -0.2807568 0.6006624 1.0000000
##
## Individual: 85
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1 1 1 -1
## [2,] 1 1 1 -1
## [3,] 1 1 1 -1
## [4,] -1 -1 -1 1
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4478529 -0.9505576 -0.5999192
## [2,] 0.4478529 1.0000000 -0.1546122 -0.9832930
## [3,] -0.9505576 -0.1546122 1.0000000 0.3258295
## [4,] -0.5999192 -0.9832930 0.3258295 1.0000000
##
## Individual: 86
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3596738 -0.1796938 -0.4791476
## [2,] 0.3596738 1.0000000 -0.5313720 -0.5379162
## [3,] -0.1796938 -0.5313720 1.0000000 0.4914397
## [4,] -0.4791476 -0.5379162 0.4914397 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5081200 -0.3186176 -0.5160669
## [2,] 0.5081200 1.0000000 -0.5844129 -0.6765932
## [3,] -0.3186176 -0.5844129 1.0000000 0.6372848
## [4,] -0.5160669 -0.6765932 0.6372848 1.0000000
##
## Individual: 87
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6160574 -0.2618436 -0.2045990
## [2,] 0.6160574 1.0000000 -0.2442978 -0.3045072
## [3,] -0.2618436 -0.2442978 1.0000000 0.6076392
## [4,] -0.2045990 -0.3045072 0.6076392 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6331068 -0.3142490 -0.3052608
## [2,] 0.6331068 1.0000000 -0.2784671 -0.3305029
## [3,] -0.3142490 -0.2784671 1.0000000 0.6590361
## [4,] -0.3052608 -0.3305029 0.6590361 1.0000000
##
## Individual: 88
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5660382 -0.5965338 -0.3770944
## [2,] 0.5660382 1.0000000 -0.3664481 -0.2643123
## [3,] -0.5965338 -0.3664481 1.0000000 0.4987613
## [4,] -0.3770944 -0.2643123 0.4987613 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5775353 -0.5475498 -0.2885931
## [2,] 0.5775353 1.0000000 -0.3530115 -0.2715456
## [3,] -0.5475498 -0.3530115 1.0000000 0.3936142
## [4,] -0.2885931 -0.2715456 0.3936142 1.0000000
##
## Individual: 89
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6715287 -0.5666190 -0.5016522
## [2,] 0.6715287 1.0000000 -0.6501925 -0.5315975
## [3,] -0.5666190 -0.6501925 1.0000000 0.7226118
## [4,] -0.5016522 -0.5315975 0.7226118 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4650844 -0.5531960 -0.4427343
## [2,] 0.4650844 1.0000000 -0.5252367 -0.5450868
## [3,] -0.5531960 -0.5252367 1.0000000 0.7315424
## [4,] -0.4427343 -0.5450868 0.7315424 1.0000000
##
## Individual: 90
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6618530 -0.3067630 -0.3249138
## [2,] 0.6618530 1.0000000 -0.4952197 -0.4937458
## [3,] -0.3067630 -0.4952197 1.0000000 0.4634001
## [4,] -0.3249138 -0.4937458 0.4634001 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5670682 -0.2599995 -0.1823333
## [2,] 0.5670682 1.0000000 -0.4632283 -0.4688438
## [3,] -0.2599995 -0.4632283 1.0000000 0.4566352
## [4,] -0.1823333 -0.4688438 0.4566352 1.0000000
##
## Individual: 91
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5526225 -0.3827843 -0.3311092
## [2,] 0.5526225 1.0000000 -0.4269787 -0.3294929
## [3,] -0.3827843 -0.4269787 1.0000000 0.6148981
## [4,] -0.3311092 -0.3294929 0.6148981 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6322255 -0.4330156 -0.3518162
## [2,] 0.6322255 1.0000000 -0.5323962 -0.4098447
## [3,] -0.4330156 -0.5323962 1.0000000 0.6412040
## [4,] -0.3518162 -0.4098447 0.6412040 1.0000000
##
## Individual: 92
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6705643 -0.4659167 -0.4796712
## [2,] 0.6705643 1.0000000 -0.6603085 -0.4697570
## [3,] -0.4659167 -0.6603085 1.0000000 0.6554426
## [4,] -0.4796712 -0.4697570 0.6554426 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6106213 -0.4940438 -0.4762111
## [2,] 0.6106213 1.0000000 -0.5699035 -0.5157154
## [3,] -0.4940438 -0.5699035 1.0000000 0.6781551
## [4,] -0.4762111 -0.5157154 0.6781551 1.0000000
##
## Individual: 93
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7632637 -0.6823381 -0.7256430
## [2,] 0.7632637 1.0000000 -0.6756119 -0.6163868
## [3,] -0.6823381 -0.6756119 1.0000000 0.7666990
## [4,] -0.7256430 -0.6163868 0.7666990 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7744043 -0.6276312 -0.5927675
## [2,] 0.7744043 1.0000000 -0.6146677 -0.6423970
## [3,] -0.6276312 -0.6146677 1.0000000 0.7322206
## [4,] -0.5927675 -0.6423970 0.7322206 1.0000000
##
## Individual: 94
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7430947 -0.6501453 -0.6124435
## [2,] 0.7430947 1.0000000 -0.6824460 -0.6300781
## [3,] -0.6501453 -0.6824460 1.0000000 0.7389693
## [4,] -0.6124435 -0.6300781 0.7389693 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7667717 -0.6402360 -0.5413437
## [2,] 0.7667717 1.0000000 -0.7055314 -0.6573750
## [3,] -0.6402360 -0.7055314 1.0000000 0.7800966
## [4,] -0.5413437 -0.6573750 0.7800966 1.0000000
##
## Individual: 95
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.3974522 -0.06163251 -0.1497721
## [2,] 0.39745217 1.0000000 -0.33188870 -0.3915335
## [3,] -0.06163251 -0.3318887 1.00000000 0.4572874
## [4,] -0.14977210 -0.3915335 0.45728739 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.2635448 0.01318657 -0.01568026
## [2,] 0.26354483 1.0000000 -0.31000634 -0.50550203
## [3,] 0.01318657 -0.3100063 1.00000000 0.54777005
## [4,] -0.01568026 -0.5055020 0.54777005 1.00000000
##
## Individual: 96
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.24086765 -0.08326881 -0.13636096
## [2,] 0.24086765 1.00000000 0.01039851 -0.09336301
## [3,] -0.08326881 0.01039851 1.00000000 0.70278354
## [4,] -0.13636096 -0.09336301 0.70278354 1.00000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2923475 -0.2021761 -0.1001515
## [2,] 0.2923475 1.0000000 -0.3926817 -0.4207566
## [3,] -0.2021761 -0.3926817 1.0000000 0.8124527
## [4,] -0.1001515 -0.4207566 0.8124527 1.0000000
##
## Individual: 97
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4462314 -0.1633994 -0.3269438
## [2,] 0.4462314 1.0000000 -0.2151693 -0.1248553
## [3,] -0.1633994 -0.2151693 1.0000000 0.4884840
## [4,] -0.3269438 -0.1248553 0.4884840 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5899889 -0.5238145 -0.5920475
## [2,] 0.5899889 1.0000000 -0.7438838 -0.7916293
## [3,] -0.5238145 -0.7438838 1.0000000 0.8379343
## [4,] -0.5920475 -0.7916293 0.8379343 1.0000000
##
## Individual: 98
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5728755 -0.5037362 -0.4811072
## [2,] 0.5728755 1.0000000 -0.6167785 -0.5200800
## [3,] -0.5037362 -0.6167785 1.0000000 0.6646299
## [4,] -0.4811072 -0.5200800 0.6646299 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5070929 -0.3428261 -0.4417026
## [2,] 0.5070929 1.0000000 -0.5804219 -0.5166472
## [3,] -0.3428261 -0.5804219 1.0000000 0.7529532
## [4,] -0.4417026 -0.5166472 0.7529532 1.0000000
##
## Individual: 99
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2712460 -0.3188751 -0.3861378
## [2,] 0.2712460 1.0000000 -0.6468870 -0.4897809
## [3,] -0.3188751 -0.6468870 1.0000000 0.5356932
## [4,] -0.3861378 -0.4897809 0.5356932 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4234861 -0.3858643 -0.3945234
## [2,] 0.4234861 1.0000000 -0.7134916 -0.6803604
## [3,] -0.3858643 -0.7134916 1.0000000 0.6663624
## [4,] -0.3945234 -0.6803604 0.6663624 1.0000000
##
## Individual: 100
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5384288 -0.6764061 -0.4762448
## [2,] 0.5384288 1.0000000 -0.4559665 -0.3660047
## [3,] -0.6764061 -0.4559665 1.0000000 0.6620837
## [4,] -0.4762448 -0.3660047 0.6620837 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5040411 -0.6493398 -0.4024719
## [2,] 0.5040411 1.0000000 -0.3877384 -0.3924359
## [3,] -0.6493398 -0.3877384 1.0000000 0.6500372
## [4,] -0.4024719 -0.3924359 0.6500372 1.0000000
##
## Individual: 101
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6673984 -0.5832958 -0.4378833
## [2,] 0.6673984 1.0000000 -0.6518221 -0.6155941
## [3,] -0.5832958 -0.6518221 1.0000000 0.7140077
## [4,] -0.4378833 -0.6155941 0.7140077 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5324995 -0.4372053 -0.2867928
## [2,] 0.5324995 1.0000000 -0.4296999 -0.5873549
## [3,] -0.4372053 -0.4296999 1.0000000 0.6304760
## [4,] -0.2867928 -0.5873549 0.6304760 1.0000000
##
## Individual: 102
## Correlation Matrix of Residuals (Sigma):
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.8586286 -0.5303976 -0.5017079
## [2,] 0.8586286 1.0000000 -0.5442527 -0.5174940
## [3,] -0.5303976 -0.5442527 1.0000000 0.8558711
## [4,] -0.5017079 -0.5174940 0.8558711 1.0000000
## Raw Correlation Matrix:
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.8659700 -0.4778989 -0.4956829
## [2,] 0.8659700 1.0000000 -0.5298556 -0.5499715
## [3,] -0.4778989 -0.5298556 1.0000000 0.8689682
## [4,] -0.4956829 -0.5499715 0.8689682 1.0000000# Optionally, you can return the list of results for further analysis or comparison
print(cor_comparison_results)## [[1]]
## [[1]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4806677 -0.2063431 -0.2166522
## [2,] 0.4806677 1.0000000 -0.1139593 -0.2044184
## [3,] -0.2063431 -0.1139593 1.0000000 0.7618041
## [4,] -0.2166522 -0.2044184 0.7618041 1.0000000
##
## [[1]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5395174 -0.2017648 -0.2114857
## [2,] 0.5395174 1.0000000 -0.1819331 -0.3336662
## [3,] -0.2017648 -0.1819331 1.0000000 0.7757568
## [4,] -0.2114857 -0.3336662 0.7757568 1.0000000
##
##
## [[2]]
## [[2]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.2229067 0.09081471 0.08874889
## [2,] 0.22290671 1.0000000 -0.16523309 -0.16980324
## [3,] 0.09081471 -0.1652331 1.00000000 0.29601722
## [4,] 0.08874889 -0.1698032 0.29601722 1.00000000
##
## [[2]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.06492024 0.20248953 0.2480515
## [2,] 0.06492024 1.00000000 -0.09211366 -0.2233496
## [3,] 0.20248953 -0.09211366 1.00000000 0.4823391
## [4,] 0.24805154 -0.22334957 0.48233908 1.0000000
##
##
## [[3]]
## [[3]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6579364 -0.4983082 -0.4752640
## [2,] 0.6579364 1.0000000 -0.4446084 -0.4609633
## [3,] -0.4983082 -0.4446084 1.0000000 0.6007448
## [4,] -0.4752640 -0.4609633 0.6007448 1.0000000
##
## [[3]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6502972 -0.3534829 -0.4667834
## [2,] 0.6502972 1.0000000 -0.3984103 -0.4996224
## [3,] -0.3534829 -0.3984103 1.0000000 0.6204431
## [4,] -0.4667834 -0.4996224 0.6204431 1.0000000
##
##
## [[4]]
## [[4]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.56791987 -0.03301724 -0.06352399
## [2,] 0.56791987 1.00000000 0.09720237 -0.05007965
## [3,] -0.03301724 0.09720237 1.00000000 0.62900310
## [4,] -0.06352399 -0.05007965 0.62900310 1.00000000
##
## [[4]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.65105229 0.2202914 0.06986386
## [2,] 0.65105229 1.00000000 0.2422850 -0.08813976
## [3,] 0.22029142 0.24228498 1.0000000 0.71628413
## [4,] 0.06986386 -0.08813976 0.7162841 1.00000000
##
##
## [[5]]
## [[5]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.7733437 -0.5582753 -0.03485793
## [2,] 0.77334366 1.0000000 -0.4510653 -0.14624135
## [3,] -0.55827535 -0.4510653 1.0000000 0.29904145
## [4,] -0.03485793 -0.1462414 0.2990415 1.00000000
##
## [[5]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7990455 -0.6786787 -0.3120833
## [2,] 0.7990455 1.0000000 -0.6260625 -0.4736115
## [3,] -0.6786787 -0.6260625 1.0000000 0.5847172
## [4,] -0.3120833 -0.4736115 0.5847172 1.0000000
##
##
## [[6]]
## [[6]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4774606 -0.4318316 -0.4798377
## [2,] 0.4774606 1.0000000 -0.4398391 -0.5438325
## [3,] -0.4318316 -0.4398391 1.0000000 0.6633994
## [4,] -0.4798377 -0.5438325 0.6633994 1.0000000
##
## [[6]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4627404 -0.4136302 -0.4373499
## [2,] 0.4627404 1.0000000 -0.3385808 -0.5443438
## [3,] -0.4136302 -0.3385808 1.0000000 0.7207811
## [4,] -0.4373499 -0.5443438 0.7207811 1.0000000
##
##
## [[7]]
## [[7]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.12381460 0.15902927 -0.2208643
## [2,] 0.1238146 1.00000000 0.00151675 0.1317064
## [3,] 0.1590293 0.00151675 1.00000000 0.1601968
## [4,] -0.2208643 0.13170641 0.16019680 1.0000000
##
## [[7]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.11421321 0.14789411 -0.10484899
## [2,] 0.1142132 1.00000000 -0.06065664 0.06078367
## [3,] 0.1478941 -0.06065664 1.00000000 0.22139984
## [4,] -0.1048490 0.06078367 0.22139984 1.00000000
##
##
## [[8]]
## [[8]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6405233 -0.2294826 -0.2453930
## [2,] 0.6405233 1.0000000 -0.4920291 -0.3961667
## [3,] -0.2294826 -0.4920291 1.0000000 0.6306014
## [4,] -0.2453930 -0.3961667 0.6306014 1.0000000
##
## [[8]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5600925 -0.1942148 -0.3906143
## [2,] 0.5600925 1.0000000 -0.4627897 -0.4996695
## [3,] -0.1942148 -0.4627897 1.0000000 0.6921603
## [4,] -0.3906143 -0.4996695 0.6921603 1.0000000
##
##
## [[9]]
## [[9]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3765211 -0.1384618 -0.1340127
## [2,] 0.3765211 1.0000000 -0.3951624 -0.4118393
## [3,] -0.1384618 -0.3951624 1.0000000 0.5472830
## [4,] -0.1340127 -0.4118393 0.5472830 1.0000000
##
## [[9]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.1727390 -0.1921587 -0.2493156
## [2,] 0.1727390 1.0000000 -0.2341707 -0.4354433
## [3,] -0.1921587 -0.2341707 1.0000000 0.6050916
## [4,] -0.2493156 -0.4354433 0.6050916 1.0000000
##
##
## [[10]]
## [[10]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4562095 -0.3453574 -0.2030471
## [2,] 0.4562095 1.0000000 -0.3332408 -0.2065518
## [3,] -0.3453574 -0.3332408 1.0000000 0.5551665
## [4,] -0.2030471 -0.2065518 0.5551665 1.0000000
##
## [[10]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5801222 -0.2541050 -0.3360171
## [2,] 0.5801222 1.0000000 -0.2313076 -0.4677152
## [3,] -0.2541050 -0.2313076 1.0000000 0.5190557
## [4,] -0.3360171 -0.4677152 0.5190557 1.0000000
##
##
## [[11]]
## [[11]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.67111424 -0.2223123 -0.13473035
## [2,] 0.6711142 1.00000000 -0.1206598 0.02895729
## [3,] -0.2223123 -0.12065979 1.0000000 0.32696339
## [4,] -0.1347304 0.02895729 0.3269634 1.00000000
##
## [[11]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.58088596 -0.10945219 0.00794945
## [2,] 0.58088596 1.00000000 -0.04989415 -0.07182778
## [3,] -0.10945219 -0.04989415 1.00000000 0.36143502
## [4,] 0.00794945 -0.07182778 0.36143502 1.00000000
##
##
## [[12]]
## [[12]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5278951 -0.4982812 -0.1163159
## [2,] 0.5278951 1.0000000 -0.5343092 -0.4703143
## [3,] -0.4982812 -0.5343092 1.0000000 0.5538382
## [4,] -0.1163159 -0.4703143 0.5538382 1.0000000
##
## [[12]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5542402 -0.3848256 -0.1019621
## [2,] 0.5542402 1.0000000 -0.4865519 -0.4846950
## [3,] -0.3848256 -0.4865519 1.0000000 0.5767204
## [4,] -0.1019621 -0.4846950 0.5767204 1.0000000
##
##
## [[13]]
## [[13]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4029088 -0.3592717 -0.2923937
## [2,] 0.4029088 1.0000000 -0.3360180 -0.1632952
## [3,] -0.3592717 -0.3360180 1.0000000 0.4807404
## [4,] -0.2923937 -0.1632952 0.4807404 1.0000000
##
## [[13]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4597983 -0.3680541 -0.2069951
## [2,] 0.4597983 1.0000000 -0.4672444 -0.2277734
## [3,] -0.3680541 -0.4672444 1.0000000 0.4978471
## [4,] -0.2069951 -0.2277734 0.4978471 1.0000000
##
##
## [[14]]
## [[14]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.44172342 0.1029984 -0.15066582
## [2,] 0.4417234 1.00000000 0.0547912 0.08555812
## [3,] 0.1029984 0.05479120 1.0000000 0.63060539
## [4,] -0.1506658 0.08555812 0.6306054 1.00000000
##
## [[14]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.9943155 0.9604814 0.8622904
## [2,] 0.9943155 1.0000000 0.9561934 0.8687434
## [3,] 0.9604814 0.9561934 1.0000000 0.9078007
## [4,] 0.8622904 0.8687434 0.9078007 1.0000000
##
##
## [[15]]
## [[15]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6680353 -0.2693402 -0.4588030
## [2,] 0.6680353 1.0000000 -0.3478900 -0.3655768
## [3,] -0.2693402 -0.3478900 1.0000000 0.4890764
## [4,] -0.4588030 -0.3655768 0.4890764 1.0000000
##
## [[15]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6891618 -0.3492072 -0.5139480
## [2,] 0.6891618 1.0000000 -0.3532778 -0.5014586
## [3,] -0.3492072 -0.3532778 1.0000000 0.5750609
## [4,] -0.5139480 -0.5014586 0.5750609 1.0000000
##
##
## [[16]]
## [[16]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2198169 -0.7841744 -0.5934979
## [2,] 0.2198169 1.0000000 -0.1335733 -0.1621855
## [3,] -0.7841744 -0.1335733 1.0000000 0.6772199
## [4,] -0.5934979 -0.1621855 0.6772199 1.0000000
##
## [[16]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2835660 -0.7226588 -0.5794414
## [2,] 0.2835660 1.0000000 -0.2340883 -0.2345702
## [3,] -0.7226588 -0.2340883 1.0000000 0.6583759
## [4,] -0.5794414 -0.2345702 0.6583759 1.0000000
##
##
## [[17]]
## [[17]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3487913 -0.2394880 -0.3330882
## [2,] 0.3487913 1.0000000 -0.1878655 -0.3333828
## [3,] -0.2394880 -0.1878655 1.0000000 0.5416668
## [4,] -0.3330882 -0.3333828 0.5416668 1.0000000
##
## [[17]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5354880 -0.4096380 -0.4243364
## [2,] 0.5354880 1.0000000 -0.3403812 -0.4451100
## [3,] -0.4096380 -0.3403812 1.0000000 0.6694502
## [4,] -0.4243364 -0.4451100 0.6694502 1.0000000
##
##
## [[18]]
## [[18]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4073146 -0.2579955 -0.4031654
## [2,] 0.4073146 1.0000000 -0.1740150 -0.2444416
## [3,] -0.2579955 -0.1740150 1.0000000 0.6814247
## [4,] -0.4031654 -0.2444416 0.6814247 1.0000000
##
## [[18]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.4656177 0.04086335 -0.1141648
## [2,] 0.46561769 1.0000000 -0.11275284 -0.1696839
## [3,] 0.04086335 -0.1127528 1.00000000 0.5324708
## [4,] -0.11416477 -0.1696839 0.53247083 1.0000000
##
##
## [[19]]
## [[19]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.599024719 -0.177717632 -0.29838306
## [2,] 0.5990247 1.000000000 -0.007921077 -0.38201200
## [3,] -0.1777176 -0.007921077 1.000000000 -0.08830013
## [4,] -0.2983831 -0.382012003 -0.088300134 1.00000000
##
## [[19]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6510544 -0.3229701 -0.1886845
## [2,] 0.6510544 1.0000000 -0.2088623 -0.3909307
## [3,] -0.3229701 -0.2088623 1.0000000 0.1326762
## [4,] -0.1886845 -0.3909307 0.1326762 1.0000000
##
##
## [[20]]
## [[20]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4663117 -0.4512796 -0.3419628
## [2,] 0.4663117 1.0000000 -0.5362868 -0.5249732
## [3,] -0.4512796 -0.5362868 1.0000000 0.5280584
## [4,] -0.3419628 -0.5249732 0.5280584 1.0000000
##
## [[20]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5210594 -0.4426755 -0.3765095
## [2,] 0.5210594 1.0000000 -0.4476902 -0.5062515
## [3,] -0.4426755 -0.4476902 1.0000000 0.6474894
## [4,] -0.3765095 -0.5062515 0.6474894 1.0000000
##
##
## [[21]]
## [[21]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.3938702 -0.2984844 0.03469054
## [2,] 0.39387017 1.0000000 -0.4383433 -0.18326820
## [3,] -0.29848437 -0.4383433 1.0000000 0.67738215
## [4,] 0.03469054 -0.1832682 0.6773822 1.00000000
##
## [[21]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1 1 1 -1
## [2,] 1 1 1 -1
## [3,] 1 1 1 -1
## [4,] -1 -1 -1 1
##
##
## [[22]]
## [[22]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5442373 -0.1950853 -0.3511308
## [2,] 0.5442373 1.0000000 -0.3158613 -0.3509693
## [3,] -0.1950853 -0.3158613 1.0000000 0.4222232
## [4,] -0.3511308 -0.3509693 0.4222232 1.0000000
##
## [[22]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4986492 -0.2209342 -0.2757895
## [2,] 0.4986492 1.0000000 -0.2903905 -0.3180181
## [3,] -0.2209342 -0.2903905 1.0000000 0.3726295
## [4,] -0.2757895 -0.3180181 0.3726295 1.0000000
##
##
## [[23]]
## [[23]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4409914 -0.32534664 -0.16866499
## [2,] 0.4409914 1.0000000 -0.16367783 -0.18305946
## [3,] -0.3253466 -0.1636778 1.00000000 0.04414377
## [4,] -0.1686650 -0.1830595 0.04414377 1.00000000
##
## [[23]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.12646508 -0.10943507 0.4073103
## [2,] 0.1264651 1.00000000 -0.04943633 -0.3483304
## [3,] -0.1094351 -0.04943633 1.00000000 0.2086221
## [4,] 0.4073103 -0.34833039 0.20862213 1.0000000
##
##
## [[24]]
## [[24]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5660740 -0.4110413 -0.3982368
## [2,] 0.5660740 1.0000000 -0.3824101 -0.5398052
## [3,] -0.4110413 -0.3824101 1.0000000 0.4795195
## [4,] -0.3982368 -0.5398052 0.4795195 1.0000000
##
## [[24]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5717236 -0.3597698 -0.3749846
## [2,] 0.5717236 1.0000000 -0.4290814 -0.5955753
## [3,] -0.3597698 -0.4290814 1.0000000 0.6852610
## [4,] -0.3749846 -0.5955753 0.6852610 1.0000000
##
##
## [[25]]
## [[25]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.36475271 -0.44928583 -0.4572539
## [2,] 0.3647527 1.00000000 -0.08540988 -0.3420193
## [3,] -0.4492858 -0.08540988 1.00000000 0.4199216
## [4,] -0.4572539 -0.34201932 0.41992162 1.0000000
##
## [[25]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3608882 -0.4914099 -0.3630390
## [2,] 0.3608882 1.0000000 -0.1034313 -0.3539639
## [3,] -0.4914099 -0.1034313 1.0000000 0.3618085
## [4,] -0.3630390 -0.3539639 0.3618085 1.0000000
##
##
## [[26]]
## [[26]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.55959718 -0.4177132 -0.14640553
## [2,] 0.5595972 1.00000000 -0.4822383 -0.05550555
## [3,] -0.4177132 -0.48223831 1.0000000 -0.12014477
## [4,] -0.1464055 -0.05550555 -0.1201448 1.00000000
##
## [[26]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.000000000 0.6961903 -0.004944624 0.0321719
## [2,] 0.696190345 1.0000000 -0.213800124 -0.1977892
## [3,] -0.004944624 -0.2138001 1.000000000 0.8411890
## [4,] 0.032171896 -0.1977892 0.841188971 1.0000000
##
##
## [[27]]
## [[27]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.2368950 -0.06985394 0.01720272
## [2,] 0.23689500 1.0000000 0.26051306 0.12554660
## [3,] -0.06985394 0.2605131 1.00000000 0.47166334
## [4,] 0.01720272 0.1255466 0.47166334 1.00000000
##
## [[27]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.13823548 0.11501613 0.06175092
## [2,] 0.13823548 1.00000000 -0.03263686 -0.06553266
## [3,] 0.11501613 -0.03263686 1.00000000 0.58528857
## [4,] 0.06175092 -0.06553266 0.58528857 1.00000000
##
##
## [[28]]
## [[28]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.000000000 0.45844527 -0.003455601 -0.06155817
## [2,] 0.458445267 1.00000000 0.035134348 -0.30532411
## [3,] -0.003455601 0.03513435 1.000000000 0.29666008
## [4,] -0.061558172 -0.30532411 0.296660082 1.00000000
##
## [[28]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.5033753 -0.02537893 -0.1697862
## [2,] 0.50337529 1.0000000 -0.24507360 -0.4547635
## [3,] -0.02537893 -0.2450736 1.00000000 0.4926576
## [4,] -0.16978616 -0.4547635 0.49265760 1.0000000
##
##
## [[29]]
## [[29]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 -0.4350644 0.1262932 0.1120217
## [2,] -0.4350644 1.0000000 -0.2905243 -0.3781318
## [3,] 0.1262932 -0.2905243 1.0000000 0.6517453
## [4,] 0.1120217 -0.3781318 0.6517453 1.0000000
##
## [[29]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.04602215 -0.03557545 -0.03373289
## [2,] 0.04602215 1.00000000 -0.33540836 -0.57429950
## [3,] -0.03557545 -0.33540836 1.00000000 0.64013792
## [4,] -0.03373289 -0.57429950 0.64013792 1.00000000
##
##
## [[30]]
## [[30]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5767792 -0.2634404 -0.2104022
## [2,] 0.5767792 1.0000000 -0.5309433 -0.5446374
## [3,] -0.2634404 -0.5309433 1.0000000 0.6965491
## [4,] -0.2104022 -0.5446374 0.6965491 1.0000000
##
## [[30]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5344052 -0.1554245 -0.1438290
## [2,] 0.5344052 1.0000000 -0.5742919 -0.6190395
## [3,] -0.1554245 -0.5742919 1.0000000 0.7387692
## [4,] -0.1438290 -0.6190395 0.7387692 1.0000000
##
##
## [[31]]
## [[31]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.3341896 -0.01460477 -0.1201202
## [2,] 0.33418958 1.0000000 -0.21977184 -0.1634685
## [3,] -0.01460477 -0.2197718 1.00000000 0.7281710
## [4,] -0.12012017 -0.1634685 0.72817099 1.0000000
##
## [[31]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.41760629 -0.03070476 0.07646404
## [2,] 0.41760629 1.00000000 -0.17568441 -0.09140123
## [3,] -0.03070476 -0.17568441 1.00000000 0.59993432
## [4,] 0.07646404 -0.09140123 0.59993432 1.00000000
##
##
## [[32]]
## [[32]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2543634 0.1577347 0.1124576
## [2,] 0.2543634 1.0000000 0.5062933 0.3655889
## [3,] 0.1577347 0.5062933 1.0000000 0.7315755
## [4,] 0.1124576 0.3655889 0.7315755 1.0000000
##
## [[32]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3186872 -0.3854179 -0.4102460
## [2,] 0.3186872 1.0000000 -0.0291610 -0.0502448
## [3,] -0.3854179 -0.0291610 1.0000000 0.9803859
## [4,] -0.4102460 -0.0502448 0.9803859 1.0000000
##
##
## [[33]]
## [[33]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1 1 1 -1
## [2,] 1 1 1 -1
## [3,] 1 1 1 -1
## [4,] -1 -1 -1 1
##
## [[33]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.8113299 0.5026733 -0.9963832
## [2,] 0.8113299 1.0000000 0.7893732 -0.8133795
## [3,] 0.5026733 0.7893732 1.0000000 -0.4585062
## [4,] -0.9963832 -0.8133795 -0.4585062 1.0000000
##
##
## [[34]]
## [[34]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.19495804 -0.3356730 -0.13943525
## [2,] 0.1949580 1.00000000 -0.1207455 -0.05260459
## [3,] -0.3356730 -0.12074545 1.0000000 0.56114155
## [4,] -0.1394352 -0.05260459 0.5611416 1.00000000
##
## [[34]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.19117549 -0.18081835 -0.1652940
## [2,] 0.1911755 1.00000000 -0.04869996 -0.1052453
## [3,] -0.1808184 -0.04869996 1.00000000 0.7201626
## [4,] -0.1652940 -0.10524535 0.72016261 1.0000000
##
##
## [[35]]
## [[35]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6585103 -0.3483307 -0.4753171
## [2,] 0.6585103 1.0000000 -0.3287172 -0.4877264
## [3,] -0.3483307 -0.3287172 1.0000000 0.7253588
## [4,] -0.4753171 -0.4877264 0.7253588 1.0000000
##
## [[35]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5852849 -0.2865751 -0.4192906
## [2,] 0.5852849 1.0000000 -0.3042067 -0.5127668
## [3,] -0.2865751 -0.3042067 1.0000000 0.7152037
## [4,] -0.4192906 -0.5127668 0.7152037 1.0000000
##
##
## [[36]]
## [[36]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7794920 -0.7773391 -0.6849401
## [2,] 0.7794920 1.0000000 -0.7381469 -0.7163745
## [3,] -0.7773391 -0.7381469 1.0000000 0.8012354
## [4,] -0.6849401 -0.7163745 0.8012354 1.0000000
##
## [[36]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7614875 -0.7815275 -0.708332
## [2,] 0.7614875 1.0000000 -0.7657622 -0.740477
## [3,] -0.7815275 -0.7657622 1.0000000 0.810526
## [4,] -0.7083320 -0.7404770 0.8105260 1.000000
##
##
## [[37]]
## [[37]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.52131811 -0.1734890 0.02079563
## [2,] 0.52131811 1.00000000 -0.1659152 0.08159233
## [3,] -0.17348896 -0.16591523 1.0000000 0.20979142
## [4,] 0.02079563 0.08159233 0.2097914 1.00000000
##
## [[37]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.45626763 -0.09389952 -0.03427493
## [2,] 0.45626763 1.00000000 -0.25281706 -0.03318932
## [3,] -0.09389952 -0.25281706 1.00000000 0.22665229
## [4,] -0.03427493 -0.03318932 0.22665229 1.00000000
##
##
## [[38]]
## [[38]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7608324 -0.3456743 -0.3552277
## [2,] 0.7608324 1.0000000 -0.4195890 -0.4063475
## [3,] -0.3456743 -0.4195890 1.0000000 0.5387229
## [4,] -0.3552277 -0.4063475 0.5387229 1.0000000
##
## [[38]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7473736 -0.3249185 -0.3434304
## [2,] 0.7473736 1.0000000 -0.4009405 -0.4875802
## [3,] -0.3249185 -0.4009405 1.0000000 0.6275356
## [4,] -0.3434304 -0.4875802 0.6275356 1.0000000
##
##
## [[39]]
## [[39]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3845950 -0.2137378 -0.1731150
## [2,] 0.3845950 1.0000000 -0.5741106 -0.4989101
## [3,] -0.2137378 -0.5741106 1.0000000 0.5978136
## [4,] -0.1731150 -0.4989101 0.5978136 1.0000000
##
## [[39]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4951413 -0.1249336 -0.1478588
## [2,] 0.4951413 1.0000000 -0.4815659 -0.4718838
## [3,] -0.1249336 -0.4815659 1.0000000 0.5257268
## [4,] -0.1478588 -0.4718838 0.5257268 1.0000000
##
##
## [[40]]
## [[40]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6739744 -0.2560967 -0.2992307
## [2,] 0.6739744 1.0000000 -0.1281744 -0.1878042
## [3,] -0.2560967 -0.1281744 1.0000000 0.6994144
## [4,] -0.2992307 -0.1878042 0.6994144 1.0000000
##
## [[40]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6745315 -0.3161316 -0.3225271
## [2,] 0.6745315 1.0000000 -0.3068780 -0.3846407
## [3,] -0.3161316 -0.3068780 1.0000000 0.7857223
## [4,] -0.3225271 -0.3846407 0.7857223 1.0000000
##
##
## [[41]]
## [[41]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5600110 -0.4966121 -0.2459618
## [2,] 0.5600110 1.0000000 -0.5360072 -0.3121899
## [3,] -0.4966121 -0.5360072 1.0000000 0.5792604
## [4,] -0.2459618 -0.3121899 0.5792604 1.0000000
##
## [[41]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4733807 -0.2847008 -0.1973646
## [2,] 0.4733807 1.0000000 -0.5472948 -0.4539480
## [3,] -0.2847008 -0.5472948 1.0000000 0.6587603
## [4,] -0.1973646 -0.4539480 0.6587603 1.0000000
##
##
## [[42]]
## [[42]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2770667 -0.3247345 -0.3522350
## [2,] 0.2770667 1.0000000 -0.1901716 -0.2445578
## [3,] -0.3247345 -0.1901716 1.0000000 0.4857445
## [4,] -0.3522350 -0.2445578 0.4857445 1.0000000
##
## [[42]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2572689 -0.2380078 -0.2515135
## [2,] 0.2572689 1.0000000 -0.1722926 -0.2478295
## [3,] -0.2380078 -0.1722926 1.0000000 0.4395768
## [4,] -0.2515135 -0.2478295 0.4395768 1.0000000
##
##
## [[43]]
## [[43]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5763069 -0.4719776 -0.4805291
## [2,] 0.5763069 1.0000000 -0.6033678 -0.5848168
## [3,] -0.4719776 -0.6033678 1.0000000 0.7167320
## [4,] -0.4805291 -0.5848168 0.7167320 1.0000000
##
## [[43]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5257711 -0.3425808 -0.3845367
## [2,] 0.5257711 1.0000000 -0.5647704 -0.6177400
## [3,] -0.3425808 -0.5647704 1.0000000 0.7111623
## [4,] -0.3845367 -0.6177400 0.7111623 1.0000000
##
##
## [[44]]
## [[44]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.62476938 -0.22092052 -0.2974501
## [2,] 0.6247694 1.00000000 0.08664658 -0.0570210
## [3,] -0.2209205 0.08664658 1.00000000 0.3295665
## [4,] -0.2974501 -0.05702100 0.32956647 1.0000000
##
## [[44]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4224004 -0.3966344 0.2701114
## [2,] 0.4224004 1.0000000 0.2332267 -0.3708985
## [3,] -0.3966344 0.2332267 1.0000000 -0.5287251
## [4,] 0.2701114 -0.3708985 -0.5287251 1.0000000
##
##
## [[45]]
## [[45]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5434782 -0.3798646 -0.4902360
## [2,] 0.5434782 1.0000000 -0.2779582 -0.6143037
## [3,] -0.3798646 -0.2779582 1.0000000 0.2766831
## [4,] -0.4902360 -0.6143037 0.2766831 1.0000000
##
## [[45]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4520377 -0.1925213 -0.3173735
## [2,] 0.4520377 1.0000000 -0.2240396 -0.6680801
## [3,] -0.1925213 -0.2240396 1.0000000 0.3832589
## [4,] -0.3173735 -0.6680801 0.3832589 1.0000000
##
##
## [[46]]
## [[46]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5324597 -0.3417220 -0.2463662
## [2,] 0.5324597 1.0000000 -0.4324069 -0.1891569
## [3,] -0.3417220 -0.4324069 1.0000000 0.5842523
## [4,] -0.2463662 -0.1891569 0.5842523 1.0000000
##
## [[46]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5443940 -0.2161316 -0.2010846
## [2,] 0.5443940 1.0000000 -0.3864946 -0.2526510
## [3,] -0.2161316 -0.3864946 1.0000000 0.5987756
## [4,] -0.2010846 -0.2526510 0.5987756 1.0000000
##
##
## [[47]]
## [[47]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6723824 -0.2927025 -0.3236798
## [2,] 0.6723824 1.0000000 -0.3000375 -0.5567618
## [3,] -0.2927025 -0.3000375 1.0000000 0.4231000
## [4,] -0.3236798 -0.5567618 0.4231000 1.0000000
##
## [[47]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5770658 -0.2242026 -0.3376926
## [2,] 0.5770658 1.0000000 -0.3736248 -0.5363055
## [3,] -0.2242026 -0.3736248 1.0000000 0.5037378
## [4,] -0.3376926 -0.5363055 0.5037378 1.0000000
##
##
## [[48]]
## [[48]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7188816 -0.6679435 -0.6559549
## [2,] 0.7188816 1.0000000 -0.5752927 -0.5867486
## [3,] -0.6679435 -0.5752927 1.0000000 0.8737925
## [4,] -0.6559549 -0.5867486 0.8737925 1.0000000
##
## [[48]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6366993 -0.6154646 -0.6582084
## [2,] 0.6366993 1.0000000 -0.6115141 -0.6106362
## [3,] -0.6154646 -0.6115141 1.0000000 0.8653853
## [4,] -0.6582084 -0.6106362 0.8653853 1.0000000
##
##
## [[49]]
## [[49]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7306029 -0.4617894 -0.3356804
## [2,] 0.7306029 1.0000000 -0.3579848 -0.2144997
## [3,] -0.4617894 -0.3579848 1.0000000 0.6824478
## [4,] -0.3356804 -0.2144997 0.6824478 1.0000000
##
## [[49]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7494091 -0.5418563 -0.5373436
## [2,] 0.7494091 1.0000000 -0.4009613 -0.3385191
## [3,] -0.5418563 -0.4009613 1.0000000 0.6606115
## [4,] -0.5373436 -0.3385191 0.6606115 1.0000000
##
##
## [[50]]
## [[50]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1 1 -1 -1
## [2,] 1 1 -1 -1
## [3,] -1 -1 1 1
## [4,] -1 -1 1 1
##
## [[50]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1 1 -1 -1
## [2,] 1 1 -1 -1
## [3,] -1 -1 1 1
## [4,] -1 -1 1 1
##
##
## [[51]]
## [[51]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4399981 -0.1844556 -0.2665719
## [2,] 0.4399981 1.0000000 -0.3735598 -0.3926401
## [3,] -0.1844556 -0.3735598 1.0000000 0.8990355
## [4,] -0.2665719 -0.3926401 0.8990355 1.0000000
##
## [[51]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.000000000 0.5417522 -0.004996123 -0.09844174
## [2,] 0.541752200 1.0000000 -0.222723311 -0.30914213
## [3,] -0.004996123 -0.2227233 1.000000000 0.92315292
## [4,] -0.098441742 -0.3091421 0.923152916 1.00000000
##
##
## [[52]]
## [[52]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5623823 -0.2829090 -0.3189776
## [2,] 0.5623823 1.0000000 -0.2660430 -0.3342313
## [3,] -0.2829090 -0.2660430 1.0000000 0.6517342
## [4,] -0.3189776 -0.3342313 0.6517342 1.0000000
##
## [[52]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5957668 -0.2486638 -0.3368833
## [2,] 0.5957668 1.0000000 -0.2814224 -0.4209557
## [3,] -0.2486638 -0.2814224 1.0000000 0.6632011
## [4,] -0.3368833 -0.4209557 0.6632011 1.0000000
##
##
## [[53]]
## [[53]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.3472178 -0.1051572 0.07940424
## [2,] 0.34721778 1.0000000 -0.1121058 -0.16507041
## [3,] -0.10515724 -0.1121058 1.0000000 0.65173038
## [4,] 0.07940424 -0.1650704 0.6517304 1.00000000
##
## [[53]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.4812647 -0.3392398 -0.08585726
## [2,] 0.48126470 1.0000000 -0.4606790 -0.33181317
## [3,] -0.33923982 -0.4606790 1.0000000 0.67529293
## [4,] -0.08585726 -0.3318132 0.6752929 1.00000000
##
##
## [[54]]
## [[54]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.1110986 -0.2484443 -0.2831761
## [2,] 0.1110986 1.0000000 -0.1423409 -0.3028697
## [3,] -0.2484443 -0.1423409 1.0000000 0.5217115
## [4,] -0.2831761 -0.3028697 0.5217115 1.0000000
##
## [[54]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 -0.01768809 -0.29861659 -0.1985524
## [2,] -0.01768809 1.00000000 0.01298615 -0.1929936
## [3,] -0.29861659 0.01298615 1.00000000 0.3118346
## [4,] -0.19855243 -0.19299362 0.31183459 1.0000000
##
##
## [[55]]
## [[55]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.25100196 -0.10437211 -0.1965768
## [2,] 0.2510020 1.00000000 -0.06628925 -0.3459182
## [3,] -0.1043721 -0.06628925 1.00000000 0.2837280
## [4,] -0.1965768 -0.34591823 0.28372797 1.0000000
##
## [[55]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3441527 -0.1759805 -0.2163114
## [2,] 0.3441527 1.0000000 -0.3507917 -0.5820528
## [3,] -0.1759805 -0.3507917 1.0000000 0.5638360
## [4,] -0.2163114 -0.5820528 0.5638360 1.0000000
##
##
## [[56]]
## [[56]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3462977 -0.1181267 -0.2039538
## [2,] 0.3462977 1.0000000 -0.1819588 -0.1233699
## [3,] -0.1181267 -0.1819588 1.0000000 0.6337165
## [4,] -0.2039538 -0.1233699 0.6337165 1.0000000
##
## [[56]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.000000000 0.39373022 -0.009354423 -0.1966133
## [2,] 0.393730216 1.00000000 -0.037484959 -0.1896954
## [3,] -0.009354423 -0.03748496 1.000000000 0.5629240
## [4,] -0.196613281 -0.18969537 0.562924005 1.0000000
##
##
## [[57]]
## [[57]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.4339884 0.07009105 -0.03157351
## [2,] 0.43398841 1.0000000 -0.35227327 -0.39877456
## [3,] 0.07009105 -0.3522733 1.00000000 0.50351390
## [4,] -0.03157351 -0.3987746 0.50351390 1.00000000
##
## [[57]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4489024 0.2466720 0.1460675
## [2,] 0.4489024 1.0000000 -0.2121791 -0.2990738
## [3,] 0.2466720 -0.2121791 1.0000000 0.6528124
## [4,] 0.1460675 -0.2990738 0.6528124 1.0000000
##
##
## [[58]]
## [[58]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.000000000 0.1247825 -0.04974741 0.006607303
## [2,] 0.124782476 1.0000000 -0.11625131 -0.145096773
## [3,] -0.049747411 -0.1162513 1.00000000 0.662682304
## [4,] 0.006607303 -0.1450968 0.66268230 1.000000000
##
## [[58]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.2082623 -0.07798531 0.02113397
## [2,] 0.20826226 1.0000000 -0.25706718 -0.28329781
## [3,] -0.07798531 -0.2570672 1.00000000 0.68915343
## [4,] 0.02113397 -0.2832978 0.68915343 1.00000000
##
##
## [[59]]
## [[59]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5428407 -0.1933795 -0.2362792
## [2,] 0.5428407 1.0000000 -0.4014372 -0.3277106
## [3,] -0.1933795 -0.4014372 1.0000000 0.6545209
## [4,] -0.2362792 -0.3277106 0.6545209 1.0000000
##
## [[59]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5360426 -0.1720487 -0.1672002
## [2,] 0.5360426 1.0000000 -0.5030989 -0.4327811
## [3,] -0.1720487 -0.5030989 1.0000000 0.7243422
## [4,] -0.1672002 -0.4327811 0.7243422 1.0000000
##
##
## [[60]]
## [[60]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7768960 -0.5264960 -0.5750437
## [2,] 0.7768960 1.0000000 -0.4895684 -0.5551317
## [3,] -0.5264960 -0.4895684 1.0000000 0.6295898
## [4,] -0.5750437 -0.5551317 0.6295898 1.0000000
##
## [[60]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.8901717 -0.6664296 -0.5209499
## [2,] 0.8901717 1.0000000 -0.6912345 -0.5538558
## [3,] -0.6664296 -0.6912345 1.0000000 0.6914538
## [4,] -0.5209499 -0.5538558 0.6914538 1.0000000
##
##
## [[61]]
## [[61]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4040050 -0.3409738 -0.1551534
## [2,] 0.4040050 1.0000000 -0.3897837 -0.2029336
## [3,] -0.3409738 -0.3897837 1.0000000 0.3937754
## [4,] -0.1551534 -0.2029336 0.3937754 1.0000000
##
## [[61]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3828099 -0.2028026 -0.1149093
## [2,] 0.3828099 1.0000000 -0.3124147 -0.3228167
## [3,] -0.2028026 -0.3124147 1.0000000 0.4562608
## [4,] -0.1149093 -0.3228167 0.4562608 1.0000000
##
##
## [[62]]
## [[62]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7277634 -0.5494301 -0.4825685
## [2,] 0.7277634 1.0000000 -0.6651564 -0.6705387
## [3,] -0.5494301 -0.6651564 1.0000000 0.7043298
## [4,] -0.4825685 -0.6705387 0.7043298 1.0000000
##
## [[62]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6221029 -0.5120191 -0.4325304
## [2,] 0.6221029 1.0000000 -0.5521885 -0.6142332
## [3,] -0.5120191 -0.5521885 1.0000000 0.7649933
## [4,] -0.4325304 -0.6142332 0.7649933 1.0000000
##
##
## [[63]]
## [[63]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6609744 -0.7138767 -0.6148602
## [2,] 0.6609744 1.0000000 -0.7336979 -0.4933522
## [3,] -0.7138767 -0.7336979 1.0000000 0.7932446
## [4,] -0.6148602 -0.4933522 0.7932446 1.0000000
##
## [[63]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6976637 -0.7173393 -0.6814636
## [2,] 0.6976637 1.0000000 -0.7109670 -0.6423116
## [3,] -0.7173393 -0.7109670 1.0000000 0.8356235
## [4,] -0.6814636 -0.6423116 0.8356235 1.0000000
##
##
## [[64]]
## [[64]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5905861 -0.3892967 -0.4402419
## [2,] 0.5905861 1.0000000 -0.2727085 -0.2892334
## [3,] -0.3892967 -0.2727085 1.0000000 0.7646309
## [4,] -0.4402419 -0.2892334 0.7646309 1.0000000
##
## [[64]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7500709 -0.4558674 -0.5587107
## [2,] 0.7500709 1.0000000 -0.3970510 -0.4830809
## [3,] -0.4558674 -0.3970510 1.0000000 0.7947317
## [4,] -0.5587107 -0.4830809 0.7947317 1.0000000
##
##
## [[65]]
## [[65]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5044160 0.1601683 -0.2919347
## [2,] 0.5044160 1.0000000 -0.1629511 -0.3349134
## [3,] 0.1601683 -0.1629511 1.0000000 0.3545154
## [4,] -0.2919347 -0.3349134 0.3545154 1.0000000
##
## [[65]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.5361158 0.02702784 -0.3218463
## [2,] 0.53611579 1.0000000 -0.24724000 -0.4730948
## [3,] 0.02702784 -0.2472400 1.00000000 0.5033271
## [4,] -0.32184630 -0.4730948 0.50332715 1.0000000
##
##
## [[66]]
## [[66]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5358862 -0.5036086 -0.5301490
## [2,] 0.5358862 1.0000000 -0.5667177 -0.4060204
## [3,] -0.5036086 -0.5667177 1.0000000 0.6514965
## [4,] -0.5301490 -0.4060204 0.6514965 1.0000000
##
## [[66]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6105496 -0.4747894 -0.5272899
## [2,] 0.6105496 1.0000000 -0.5241513 -0.4533208
## [3,] -0.4747894 -0.5241513 1.0000000 0.6566078
## [4,] -0.5272899 -0.4533208 0.6566078 1.0000000
##
##
## [[67]]
## [[67]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6704469 -0.3936560 -0.4298318
## [2,] 0.6704469 1.0000000 -0.3639592 -0.5003839
## [3,] -0.3936560 -0.3639592 1.0000000 0.4835895
## [4,] -0.4298318 -0.5003839 0.4835895 1.0000000
##
## [[67]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6511913 -0.2776901 -0.3985312
## [2,] 0.6511913 1.0000000 -0.4072592 -0.6035380
## [3,] -0.2776901 -0.4072592 1.0000000 0.6814951
## [4,] -0.3985312 -0.6035380 0.6814951 1.0000000
##
##
## [[68]]
## [[68]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6242630 -0.4451908 -0.4669617
## [2,] 0.6242630 1.0000000 -0.5592488 -0.6328748
## [3,] -0.4451908 -0.5592488 1.0000000 0.7264533
## [4,] -0.4669617 -0.6328748 0.7264533 1.0000000
##
## [[68]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6700666 -0.5243700 -0.4486355
## [2,] 0.6700666 1.0000000 -0.6423429 -0.6499433
## [3,] -0.5243700 -0.6423429 1.0000000 0.7480155
## [4,] -0.4486355 -0.6499433 0.7480155 1.0000000
##
##
## [[69]]
## [[69]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4661364 -0.1188516 -0.3817373
## [2,] 0.4661364 1.0000000 -0.2939032 -0.4893788
## [3,] -0.1188516 -0.2939032 1.0000000 0.5818450
## [4,] -0.3817373 -0.4893788 0.5818450 1.0000000
##
## [[69]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5184897 -0.1514744 -0.4141426
## [2,] 0.5184897 1.0000000 -0.2767324 -0.4200929
## [3,] -0.1514744 -0.2767324 1.0000000 0.6641517
## [4,] -0.4141426 -0.4200929 0.6641517 1.0000000
##
##
## [[70]]
## [[70]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6209821 -0.3715699 -0.4607667
## [2,] 0.6209821 1.0000000 -0.2811250 -0.4180274
## [3,] -0.3715699 -0.2811250 1.0000000 0.6069407
## [4,] -0.4607667 -0.4180274 0.6069407 1.0000000
##
## [[70]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5671472 -0.2931299 -0.3523749
## [2,] 0.5671472 1.0000000 -0.2837227 -0.3029262
## [3,] -0.2931299 -0.2837227 1.0000000 0.4867578
## [4,] -0.3523749 -0.3029262 0.4867578 1.0000000
##
##
## [[71]]
## [[71]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.1092660 -0.1457012 -0.2928950
## [2,] 0.1092660 1.0000000 -0.3817529 -0.2886468
## [3,] -0.1457012 -0.3817529 1.0000000 0.7174527
## [4,] -0.2928950 -0.2886468 0.7174527 1.0000000
##
## [[71]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3517427 -0.1469847 -0.1863495
## [2,] 0.3517427 1.0000000 -0.4182378 -0.3614057
## [3,] -0.1469847 -0.4182378 1.0000000 0.7820582
## [4,] -0.1863495 -0.3614057 0.7820582 1.0000000
##
##
## [[72]]
## [[72]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.43740535 -0.32789582 -0.10539159
## [2,] 0.4374053 1.00000000 -0.08077412 -0.03852466
## [3,] -0.3278958 -0.08077412 1.00000000 0.51331621
## [4,] -0.1053916 -0.03852466 0.51331621 1.00000000
##
## [[72]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5591462 -0.4623493 -0.2672575
## [2,] 0.5591462 1.0000000 -0.3016582 -0.3263581
## [3,] -0.4623493 -0.3016582 1.0000000 0.7001494
## [4,] -0.2672575 -0.3263581 0.7001494 1.0000000
##
##
## [[73]]
## [[73]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1 -1 -1 -1
## [2,] -1 1 1 1
## [3,] -1 1 1 1
## [4,] -1 1 1 1
##
## [[73]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 -0.18670139 -0.70396985 -0.6659434
## [2,] -0.1867014 1.00000000 -0.03927149 -0.1051504
## [3,] -0.7039698 -0.03927149 1.00000000 0.9912050
## [4,] -0.6659434 -0.10515035 0.99120501 1.0000000
##
##
## [[74]]
## [[74]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.8070887 -0.6230171 -0.5864334
## [2,] 0.8070887 1.0000000 -0.7437879 -0.6552856
## [3,] -0.6230171 -0.7437879 1.0000000 0.8193660
## [4,] -0.5864334 -0.6552856 0.8193660 1.0000000
##
## [[74]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.8093589 -0.6379068 -0.5682892
## [2,] 0.8093589 1.0000000 -0.7178682 -0.6398631
## [3,] -0.6379068 -0.7178682 1.0000000 0.7917224
## [4,] -0.5682892 -0.6398631 0.7917224 1.0000000
##
##
## [[75]]
## [[75]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.5512737 -0.08059566 0.02988727
## [2,] 0.55127369 1.0000000 -0.30072477 -0.27551251
## [3,] -0.08059566 -0.3007248 1.00000000 0.08999796
## [4,] 0.02988727 -0.2755125 0.08999796 1.00000000
##
## [[75]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.4510794 0.02537082 0.02758678
## [2,] 0.45107942 1.0000000 -0.24616267 -0.34099484
## [3,] 0.02537082 -0.2461627 1.00000000 0.40854610
## [4,] 0.02758678 -0.3409948 0.40854610 1.00000000
##
##
## [[76]]
## [[76]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6419436 -0.1438086 -0.3289807
## [2,] 0.6419436 1.0000000 -0.0179086 -0.1558580
## [3,] -0.1438086 -0.0179086 1.0000000 0.5562280
## [4,] -0.3289807 -0.1558580 0.5562280 1.0000000
##
## [[76]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.49722440 -0.23287946 -0.3732260
## [2,] 0.4972244 1.00000000 0.03389413 -0.1754930
## [3,] -0.2328795 0.03389413 1.00000000 0.6390618
## [4,] -0.3732260 -0.17549303 0.63906178 1.0000000
##
##
## [[77]]
## [[77]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1 -1 -1 -1
## [2,] -1 1 1 1
## [3,] -1 1 1 1
## [4,] -1 1 1 1
##
## [[77]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4709391 -0.6110503 -0.9918445
## [2,] 0.4709391 1.0000000 0.3530502 -0.4949059
## [3,] -0.6110503 0.3530502 1.0000000 0.6044493
## [4,] -0.9918445 -0.4949059 0.6044493 1.0000000
##
##
## [[78]]
## [[78]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 -0.9400212 -0.9935119 -0.9304196
## [2,] -0.9400212 1.0000000 0.9727167 0.7495964
## [3,] -0.9935119 0.9727167 1.0000000 0.8827021
## [4,] -0.9304196 0.7495964 0.8827021 1.0000000
##
## [[78]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1 NaN NaN NaN
## [2,] NaN 1 NaN NaN
## [3,] NaN NaN 1 NaN
## [4,] NaN NaN NaN 1
##
##
## [[79]]
## [[79]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5979282 -0.2388839 -0.4296152
## [2,] 0.5979282 1.0000000 -0.5571992 -0.6718683
## [3,] -0.2388839 -0.5571992 1.0000000 0.5723504
## [4,] -0.4296152 -0.6718683 0.5723504 1.0000000
##
## [[79]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5510286 -0.1314834 -0.4089588
## [2,] 0.5510286 1.0000000 -0.4647199 -0.6231814
## [3,] -0.1314834 -0.4647199 1.0000000 0.5135616
## [4,] -0.4089588 -0.6231814 0.5135616 1.0000000
##
##
## [[80]]
## [[80]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.3430411 -0.06662212 -0.07151909
## [2,] 0.34304111 1.0000000 -0.26601331 -0.21869966
## [3,] -0.06662212 -0.2660133 1.00000000 0.56334018
## [4,] -0.07151909 -0.2186997 0.56334018 1.00000000
##
## [[80]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.3685608 -0.0117139 -0.03194761
## [2,] 0.36856079 1.0000000 -0.2870712 -0.25073143
## [3,] -0.01171390 -0.2870712 1.0000000 0.60350193
## [4,] -0.03194761 -0.2507314 0.6035019 1.00000000
##
##
## [[81]]
## [[81]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.3496142 -0.1130801 0.05946497
## [2,] 0.34961419 1.0000000 -0.2409382 -0.32716795
## [3,] -0.11308012 -0.2409382 1.0000000 0.53788053
## [4,] 0.05946497 -0.3271680 0.5378805 1.00000000
##
## [[81]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.4209752 -0.2114492 0.04845453
## [2,] 0.42097518 1.0000000 -0.3776711 -0.36925725
## [3,] -0.21144915 -0.3776711 1.0000000 0.54525799
## [4,] 0.04845453 -0.3692572 0.5452580 1.00000000
##
##
## [[82]]
## [[82]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.19928706 0.0688559 -0.06827840
## [2,] 0.1992871 1.00000000 -0.1824748 -0.02114699
## [3,] 0.0688559 -0.18247483 1.0000000 0.60429937
## [4,] -0.0682784 -0.02114699 0.6042994 1.00000000
##
## [[82]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2731495 -0.0589621 -0.1503454
## [2,] 0.2731495 1.0000000 -0.2866984 -0.1990865
## [3,] -0.0589621 -0.2866984 1.0000000 0.6890961
## [4,] -0.1503454 -0.1990865 0.6890961 1.0000000
##
##
## [[83]]
## [[83]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7035807 -0.4902624 -0.4007595
## [2,] 0.7035807 1.0000000 -0.3981739 -0.4097123
## [3,] -0.4902624 -0.3981739 1.0000000 0.6553181
## [4,] -0.4007595 -0.4097123 0.6553181 1.0000000
##
## [[83]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7736732 -0.3349437 -0.2109582
## [2,] 0.7736732 1.0000000 -0.3643883 -0.3629990
## [3,] -0.3349437 -0.3643883 1.0000000 0.7639680
## [4,] -0.2109582 -0.3629990 0.7639680 1.0000000
##
##
## [[84]]
## [[84]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7443152 -0.7166392 -0.3630155
## [2,] 0.7443152 1.0000000 -0.6793519 -0.4639484
## [3,] -0.7166392 -0.6793519 1.0000000 0.5744756
## [4,] -0.3630155 -0.4639484 0.5744756 1.0000000
##
## [[84]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7809716 -0.6878749 -0.2862433
## [2,] 0.7809716 1.0000000 -0.6222326 -0.2807568
## [3,] -0.6878749 -0.6222326 1.0000000 0.6006624
## [4,] -0.2862433 -0.2807568 0.6006624 1.0000000
##
##
## [[85]]
## [[85]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1 1 1 -1
## [2,] 1 1 1 -1
## [3,] 1 1 1 -1
## [4,] -1 -1 -1 1
##
## [[85]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4478529 -0.9505576 -0.5999192
## [2,] 0.4478529 1.0000000 -0.1546122 -0.9832930
## [3,] -0.9505576 -0.1546122 1.0000000 0.3258295
## [4,] -0.5999192 -0.9832930 0.3258295 1.0000000
##
##
## [[86]]
## [[86]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.3596738 -0.1796938 -0.4791476
## [2,] 0.3596738 1.0000000 -0.5313720 -0.5379162
## [3,] -0.1796938 -0.5313720 1.0000000 0.4914397
## [4,] -0.4791476 -0.5379162 0.4914397 1.0000000
##
## [[86]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5081200 -0.3186176 -0.5160669
## [2,] 0.5081200 1.0000000 -0.5844129 -0.6765932
## [3,] -0.3186176 -0.5844129 1.0000000 0.6372848
## [4,] -0.5160669 -0.6765932 0.6372848 1.0000000
##
##
## [[87]]
## [[87]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6160574 -0.2618436 -0.2045990
## [2,] 0.6160574 1.0000000 -0.2442978 -0.3045072
## [3,] -0.2618436 -0.2442978 1.0000000 0.6076392
## [4,] -0.2045990 -0.3045072 0.6076392 1.0000000
##
## [[87]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6331068 -0.3142490 -0.3052608
## [2,] 0.6331068 1.0000000 -0.2784671 -0.3305029
## [3,] -0.3142490 -0.2784671 1.0000000 0.6590361
## [4,] -0.3052608 -0.3305029 0.6590361 1.0000000
##
##
## [[88]]
## [[88]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5660382 -0.5965338 -0.3770944
## [2,] 0.5660382 1.0000000 -0.3664481 -0.2643123
## [3,] -0.5965338 -0.3664481 1.0000000 0.4987613
## [4,] -0.3770944 -0.2643123 0.4987613 1.0000000
##
## [[88]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5775353 -0.5475498 -0.2885931
## [2,] 0.5775353 1.0000000 -0.3530115 -0.2715456
## [3,] -0.5475498 -0.3530115 1.0000000 0.3936142
## [4,] -0.2885931 -0.2715456 0.3936142 1.0000000
##
##
## [[89]]
## [[89]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6715287 -0.5666190 -0.5016522
## [2,] 0.6715287 1.0000000 -0.6501925 -0.5315975
## [3,] -0.5666190 -0.6501925 1.0000000 0.7226118
## [4,] -0.5016522 -0.5315975 0.7226118 1.0000000
##
## [[89]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4650844 -0.5531960 -0.4427343
## [2,] 0.4650844 1.0000000 -0.5252367 -0.5450868
## [3,] -0.5531960 -0.5252367 1.0000000 0.7315424
## [4,] -0.4427343 -0.5450868 0.7315424 1.0000000
##
##
## [[90]]
## [[90]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6618530 -0.3067630 -0.3249138
## [2,] 0.6618530 1.0000000 -0.4952197 -0.4937458
## [3,] -0.3067630 -0.4952197 1.0000000 0.4634001
## [4,] -0.3249138 -0.4937458 0.4634001 1.0000000
##
## [[90]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5670682 -0.2599995 -0.1823333
## [2,] 0.5670682 1.0000000 -0.4632283 -0.4688438
## [3,] -0.2599995 -0.4632283 1.0000000 0.4566352
## [4,] -0.1823333 -0.4688438 0.4566352 1.0000000
##
##
## [[91]]
## [[91]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5526225 -0.3827843 -0.3311092
## [2,] 0.5526225 1.0000000 -0.4269787 -0.3294929
## [3,] -0.3827843 -0.4269787 1.0000000 0.6148981
## [4,] -0.3311092 -0.3294929 0.6148981 1.0000000
##
## [[91]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6322255 -0.4330156 -0.3518162
## [2,] 0.6322255 1.0000000 -0.5323962 -0.4098447
## [3,] -0.4330156 -0.5323962 1.0000000 0.6412040
## [4,] -0.3518162 -0.4098447 0.6412040 1.0000000
##
##
## [[92]]
## [[92]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6705643 -0.4659167 -0.4796712
## [2,] 0.6705643 1.0000000 -0.6603085 -0.4697570
## [3,] -0.4659167 -0.6603085 1.0000000 0.6554426
## [4,] -0.4796712 -0.4697570 0.6554426 1.0000000
##
## [[92]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6106213 -0.4940438 -0.4762111
## [2,] 0.6106213 1.0000000 -0.5699035 -0.5157154
## [3,] -0.4940438 -0.5699035 1.0000000 0.6781551
## [4,] -0.4762111 -0.5157154 0.6781551 1.0000000
##
##
## [[93]]
## [[93]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7632637 -0.6823381 -0.7256430
## [2,] 0.7632637 1.0000000 -0.6756119 -0.6163868
## [3,] -0.6823381 -0.6756119 1.0000000 0.7666990
## [4,] -0.7256430 -0.6163868 0.7666990 1.0000000
##
## [[93]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7744043 -0.6276312 -0.5927675
## [2,] 0.7744043 1.0000000 -0.6146677 -0.6423970
## [3,] -0.6276312 -0.6146677 1.0000000 0.7322206
## [4,] -0.5927675 -0.6423970 0.7322206 1.0000000
##
##
## [[94]]
## [[94]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7430947 -0.6501453 -0.6124435
## [2,] 0.7430947 1.0000000 -0.6824460 -0.6300781
## [3,] -0.6501453 -0.6824460 1.0000000 0.7389693
## [4,] -0.6124435 -0.6300781 0.7389693 1.0000000
##
## [[94]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.7667717 -0.6402360 -0.5413437
## [2,] 0.7667717 1.0000000 -0.7055314 -0.6573750
## [3,] -0.6402360 -0.7055314 1.0000000 0.7800966
## [4,] -0.5413437 -0.6573750 0.7800966 1.0000000
##
##
## [[95]]
## [[95]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.3974522 -0.06163251 -0.1497721
## [2,] 0.39745217 1.0000000 -0.33188870 -0.3915335
## [3,] -0.06163251 -0.3318887 1.00000000 0.4572874
## [4,] -0.14977210 -0.3915335 0.45728739 1.0000000
##
## [[95]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.2635448 0.01318657 -0.01568026
## [2,] 0.26354483 1.0000000 -0.31000634 -0.50550203
## [3,] 0.01318657 -0.3100063 1.00000000 0.54777005
## [4,] -0.01568026 -0.5055020 0.54777005 1.00000000
##
##
## [[96]]
## [[96]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.00000000 0.24086765 -0.08326881 -0.13636096
## [2,] 0.24086765 1.00000000 0.01039851 -0.09336301
## [3,] -0.08326881 0.01039851 1.00000000 0.70278354
## [4,] -0.13636096 -0.09336301 0.70278354 1.00000000
##
## [[96]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2923475 -0.2021761 -0.1001515
## [2,] 0.2923475 1.0000000 -0.3926817 -0.4207566
## [3,] -0.2021761 -0.3926817 1.0000000 0.8124527
## [4,] -0.1001515 -0.4207566 0.8124527 1.0000000
##
##
## [[97]]
## [[97]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4462314 -0.1633994 -0.3269438
## [2,] 0.4462314 1.0000000 -0.2151693 -0.1248553
## [3,] -0.1633994 -0.2151693 1.0000000 0.4884840
## [4,] -0.3269438 -0.1248553 0.4884840 1.0000000
##
## [[97]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5899889 -0.5238145 -0.5920475
## [2,] 0.5899889 1.0000000 -0.7438838 -0.7916293
## [3,] -0.5238145 -0.7438838 1.0000000 0.8379343
## [4,] -0.5920475 -0.7916293 0.8379343 1.0000000
##
##
## [[98]]
## [[98]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5728755 -0.5037362 -0.4811072
## [2,] 0.5728755 1.0000000 -0.6167785 -0.5200800
## [3,] -0.5037362 -0.6167785 1.0000000 0.6646299
## [4,] -0.4811072 -0.5200800 0.6646299 1.0000000
##
## [[98]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5070929 -0.3428261 -0.4417026
## [2,] 0.5070929 1.0000000 -0.5804219 -0.5166472
## [3,] -0.3428261 -0.5804219 1.0000000 0.7529532
## [4,] -0.4417026 -0.5166472 0.7529532 1.0000000
##
##
## [[99]]
## [[99]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.2712460 -0.3188751 -0.3861378
## [2,] 0.2712460 1.0000000 -0.6468870 -0.4897809
## [3,] -0.3188751 -0.6468870 1.0000000 0.5356932
## [4,] -0.3861378 -0.4897809 0.5356932 1.0000000
##
## [[99]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.4234861 -0.3858643 -0.3945234
## [2,] 0.4234861 1.0000000 -0.7134916 -0.6803604
## [3,] -0.3858643 -0.7134916 1.0000000 0.6663624
## [4,] -0.3945234 -0.6803604 0.6663624 1.0000000
##
##
## [[100]]
## [[100]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5384288 -0.6764061 -0.4762448
## [2,] 0.5384288 1.0000000 -0.4559665 -0.3660047
## [3,] -0.6764061 -0.4559665 1.0000000 0.6620837
## [4,] -0.4762448 -0.3660047 0.6620837 1.0000000
##
## [[100]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5040411 -0.6493398 -0.4024719
## [2,] 0.5040411 1.0000000 -0.3877384 -0.3924359
## [3,] -0.6493398 -0.3877384 1.0000000 0.6500372
## [4,] -0.4024719 -0.3924359 0.6500372 1.0000000
##
##
## [[101]]
## [[101]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.6673984 -0.5832958 -0.4378833
## [2,] 0.6673984 1.0000000 -0.6518221 -0.6155941
## [3,] -0.5832958 -0.6518221 1.0000000 0.7140077
## [4,] -0.4378833 -0.6155941 0.7140077 1.0000000
##
## [[101]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.5324995 -0.4372053 -0.2867928
## [2,] 0.5324995 1.0000000 -0.4296999 -0.5873549
## [3,] -0.4372053 -0.4296999 1.0000000 0.6304760
## [4,] -0.2867928 -0.5873549 0.6304760 1.0000000
##
##
## [[102]]
## [[102]]$cor_matrix_sigma
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.8586286 -0.5303976 -0.5017079
## [2,] 0.8586286 1.0000000 -0.5442527 -0.5174940
## [3,] -0.5303976 -0.5442527 1.0000000 0.8558711
## [4,] -0.5017079 -0.5174940 0.8558711 1.0000000
##
## [[102]]$raw_cor_matrix
## [,1] [,2] [,3] [,4]
## [1,] 1.0000000 0.8659700 -0.4778989 -0.4956829
## [2,] 0.8659700 1.0000000 -0.5298556 -0.5499715
## [3,] -0.4778989 -0.5298556 1.0000000 0.8689682
## [4,] -0.4956829 -0.5499715 0.8689682 1.0000000Then I calculated the Frobenius norm as a way of seeing how different the matrices were from each other. Lower values indicate more similarity.
# Function to calculate Frobenius norm of the difference between two matrices
frobenius_norm <- function(mat1, mat2) {
if (is.null(mat1) || is.null(mat2) || !all(dim(mat1) == dim(mat2))) {
return(NA) # Handle cases where the matrices are incompatible or NULL
}
return(sqrt(sum((mat1 - mat2)^2)))
}
# Initialize an empty list to store the comparison results and Frobenius norms
comparison_results <- list()
frobenius_norm_list <- list()
# Loop through each individual's data in the rawdata_list and fit results list
for (i in 1:length(fit_results_list)) {
# Step 1: Extract the Sigma matrix and convert it to the correlation matrix
cor_matrix_sigma <- cov2cor(fit_results_list[[i]]$Sigma)
# Step 2: Extract the raw data for the individual, removing ID and time columns
ind_data <- simulated_data_list5[[i]] # Assuming columns 1 and 2 are ID and time
# Step 3: Calculate the raw correlation matrix for this individual
raw_cor_matrix <- cor(ind_data, use = "complete.obs")
# Step 4: Store the comparison results in a list
comparison_results[[i]] <- list(cor_matrix_sigma = cor_matrix_sigma,
raw_cor_matrix = raw_cor_matrix)
# Step 5: Calculate the Frobenius norm between cor_matrix_sigma and raw_cor_matrix
frobenius_value <- frobenius_norm(cor_matrix_sigma, raw_cor_matrix)
# Store the Frobenius norm result
frobenius_norm_list[[i]] <- frobenius_value
}
# Convert Frobenius norms to a data frame for better visualization
frobenius_comparison <- data.frame(
Individual = 1:length(fit_results_list),
Frobenius_Norm = unlist(frobenius_norm_list)
)
# Display the Frobenius norm results
print(frobenius_comparison)## Individual Frobenius_Norm
## 1 1 2.237457e-01
## 2 2 4.598648e-01
## 3 3 2.241494e-01
## 4 4 4.878199e-01
## 5 5 7.891988e-01
## 6 6 1.783219e-01
## 7 7 2.294214e-01
## 8 8 2.971849e-01
## 9 9 4.183839e-01
## 10 10 4.924694e-01
## 11 11 3.393811e-01
## 12 12 1.832125e-01
## 13 13 2.540745e-01
## 14 14 2.671875e+00
## 15 15 2.674034e-01
## 16 16 2.179157e-01
## 17 17 4.984085e-01
## 18 18 6.446182e-01
## 19 19 5.002531e-01
## 20 20 2.312075e-01
## 21 21 4.164981e+00
## 22 22 1.588510e-01
## 23 23 1.043754e+00
## 24 24 3.188085e-01
## 25 25 1.703550e-01
## 26 26 1.573144e+00
## 27 27 6.020864e-01
## 28 28 5.540330e-01
## 29 29 7.994012e-01
## 30 30 2.327758e-01
## 31 31 3.726794e-01
## 32 32 1.479126e+00
## 33 33 1.144858e+00
## 34 34 3.403299e-01
## 35 35 1.652005e-01
## 36 36 6.809899e-02
## 37 37 2.630964e-01
## 38 38 1.765522e-01
## 39 39 2.654656e-01
## 40 40 4.056497e-01
## 41 41 4.032763e-01
## 42 42 2.025840e-01
## 43 43 2.494660e-01
## 44 44 1.581533e+00
## 45 45 4.254359e-01
## 46 46 2.205273e-01
## 47 47 2.293899e-01
## 48 48 1.514354e-01
## 49 49 3.609350e-01
## 50 50 6.181460e-16
## 51 51 4.497389e-01
## 52 52 1.448931e-01
## 53 53 7.070165e-01
## 54 54 4.615452e-01
## 55 55 6.772828e-01
## 56 56 2.980552e-01
## 57 57 4.791999e-01
## 58 58 3.085665e-01
## 59 59 2.510897e-01
## 60 60 3.995921e-01
## 61 61 3.014049e-01
## 62 62 2.633615e-01
## 63 63 2.461532e-01
## 64 64 4.423707e-01
## 65 65 3.686993e-01
## 66 66 1.448357e-01
## 67 67 3.646393e-01
## 68 68 1.809091e-01
## 69 69 1.828932e-01
## 70 70 3.114442e-01
## 71 71 4.023615e-01
## 72 72 6.717792e-01
## 73 73 2.514837e+00
## 74 74 6.678215e-02
## 75 75 5.099234e-01
## 76 76 2.855360e-01
## 77 77 3.201487e+00
## 78 78 NaN
## 79 79 2.389145e-01
## 80 80 1.289535e-01
## 81 81 2.661275e-01
## 82 82 3.955846e-01
## 83 83 4.004742e-01
## 84 84 3.019025e-01
## 85 85 3.836884e+00
## 86 86 4.147639e-01
## 87 87 1.879083e-01
## 88 88 2.081002e-01
## 89 89 3.525519e-01
## 90 90 2.576413e-01
## 91 91 2.347333e-01
## 92 92 1.743409e-01
## 93 93 2.295750e-01
## 94 94 1.317838e-01
## 95 95 3.554278e-01
## 96 96 7.743226e-01
## 97 97 1.460881e+00
## 98 98 2.860305e-01
## 99 99 4.136812e-01
## 100 100 1.603518e-01
## 101 101 4.888390e-01
## 102 102 9.251926e-02Last, I tried to refit a VARMA model on the simulated data to see if the model fit and matrices were similar to the model fit/ matrices of the real data. However, I noticed I kept getting errors regarding possible matrix singularity when inverting?
Error in solve.default(xpx, xpy) : 系统计算上是奇异的: 倒条件数=1.97018e-16 此外: Warning messages: 1: In sqrt(diag(solve(Hessian))) : 产生了NaNs 2: In sqrt(diag(solve(Hessian))) : 产生了NaNs 3: In sqrt(diag(solve(Hessian))) : 产生了NaNs 4: In sqrt(diag(solve(Hessian))) : 产生了NaNs 5: In sqrt(diag(solve(Hessian))) : 产生了NaNs 6: In sqrt(diag(solve(Hessian))) : 产生了NaNs 7: In sqrt(diag(solve(Hessian))) : 产生了NaNs 8: In sqrt(diag(solve(Hessian))) : 产生了NaNs 9: In sqrt(diag(solve(Hessian))) : 产生了NaNs