IPV and Trails A Regression Models

Trails A Regression Model 1

## Loading required package: Matrix
## KernSmooth 2.23 loaded
## Copyright M. P. Wand 1997-2009
## 
## Attaching package: 'lmerTest'
## 
## The following object is masked from 'package:lme4':
## 
##     lmer
## 
## The following object is masked from 'package:stats':
## 
##     step
## Warning: number of observations <= rank(Z); variance-covariance matrix
## will be unidentifiable
## Linear mixed model fit by maximum likelihood ['merModLmerTest']
## Formula: TrailsAtestSec ~ (Age + IPVstatus + Sex + PovStat)^4 + (Age |      HNDid) + (1 | subclass) 
##    Data: IPVandCognitionDataSet2 
##      AIC      BIC   logLik deviance 
##    960.9   1020.5   -459.5    918.9 
## Random effects:
##  Groups   Name        Std.Dev. Corr
##  HNDid    (Intercept) 6.623        
##           Age         0.187    1.00
##  subclass (Intercept) 4.917        
##  Residual             7.190        
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## Fixed Effects:
##                        (Intercept)                                 Age  
##                           36.42042                             0.71803  
##                         IPVstatus1                              SexMen  
##                           -1.94609                            -7.47931  
##                       PovStatBelow                      Age:IPVstatus1  
##                            3.48355                            -0.04630  
##                         Age:SexMen                    Age:PovStatBelow  
##                           -0.57003                            -0.20116  
##                  IPVstatus1:SexMen             IPVstatus1:PovStatBelow  
##                            3.02145                            23.49130  
##                SexMen:PovStatBelow               Age:IPVstatus1:SexMen  
##                            9.52528                             0.00969  
##        Age:IPVstatus1:PovStatBelow             Age:SexMen:PovStatBelow  
##                            2.81165                             0.96526  
##     IPVstatus1:SexMen:PovStatBelow  Age:IPVstatus1:SexMen:PovStatBelow  
##                          -10.30524                            -2.19099
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Warning: 
##  model has been refitted with REML=TRUE 
## 
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Random term (Age | HNDid) was eliminated because of having correlation +-1 or NaN
## Warning: number of observations <= rank(Z); variance-covariance matrix
## will be unidentifiable
## Random term (Age + 0 | HNDid) was eliminated because of standard deviation being equal to 0
## 
## Random effects:
##                Chi.sq Chi.DF elim.num p.value
## (1 | subclass)   4.34      1     kept  0.0372
## (1 | HNDid)      5.59      1     kept  0.0181
## 
## Fixed effects:
##                             Sum Sq  Mean Sq NumDF  DenDF F.value elim.num
## Age:IPVstatus:Sex:PovStat  125.498  125.498     1  97.94  2.3080        1
## IPVstatus:Sex:PovStat        4.208    4.208     1  55.51  0.0792        2
## Age:Sex:PovStat              9.024    9.024     1  80.78  0.1809        3
## Age:IPVstatus:Sex            2.843    2.843     1  96.76  0.7380        4
## IPVstatus:Sex               88.424   88.424     1  44.37  0.5778        5
## Age:Sex                      1.252    1.252     1  77.70  1.1182        6
## Sex:PovStat                 60.154   60.154     1  45.56  1.0679        7
## Sex                         26.385   26.385     1  56.47  0.0143        8
## Age:IPVstatus:PovStat      206.510  206.510     1 101.76  2.9369        9
## IPVstatus:PovStat           19.548   19.548     1  57.87  0.3642       10
## Age:PovStat                182.417  182.417     1 100.63  3.3887       11
## Age:IPVstatus              262.071  262.071     1  82.95  3.8159       12
## IPVstatus                   52.281   52.281     1  39.69  0.6913       13
## Age                       1357.222 1357.222     1  64.17 19.6560     kept
## PovStat                    635.262  635.262     1  61.17  8.8820     kept
##                           Pr(>F)
## Age:IPVstatus:Sex:PovStat 0.1319
## IPVstatus:Sex:PovStat     0.7795
## Age:Sex:PovStat           0.6718
## Age:IPVstatus:Sex         0.3924
## IPVstatus:Sex             0.4512
## Age:Sex                   0.2936
## Sex:PovStat               0.3069
## Sex                       0.9054
## Age:IPVstatus:PovStat     0.0896
## IPVstatus:PovStat         0.5485
## Age:PovStat               0.0686
## Age:IPVstatus             0.0541
## IPVstatus                 0.4107
## Age                            0
## PovStat                   0.0041
## 
## Least squares means:
##                PovStat Estimate Standard Error   DF t-value Lower CI
## PovStat  Above     1.0    30.25           1.57 29.9   19.25     27.0
## PovStat  Below     2.0    38.21           2.25 52.3   16.97     33.7
##                Upper CI p-value
## PovStat  Above     33.5  <2e-16
## PovStat  Below     42.7  <2e-16
## 
##  Differences of LSMEANS:
##                     Estimate Standard Error   DF t-value Lower CI Upper CI
## PovStat Above-Below     -8.0           2.67 61.2   -2.98    -13.3    -2.62
##                     p-value
## PovStat Above-Below   0.004
## 
## Final model:
## lme4::lmer(formula = TrailsAtestSec ~ Age + PovStat + (1 | subclass) + 
##     (1 | HNDid), data = IPVandCognitionDataSet2, REML = reml, 
##     contrasts = l)

Re-run final Model 1

(mm1 = lmer(TrailsAtestSec ~ Age + PovStat + (Age | HNDid) + (1 | subclass), 
    data = IPVandCognitionDataSet2, REML = F))
## Warning: number of observations <= rank(Z); variance-covariance matrix
## will be unidentifiable
## Linear mixed model fit by maximum likelihood ['merModLmerTest']
## Formula: TrailsAtestSec ~ Age + PovStat + (Age | HNDid) + (1 | subclass) 
##    Data: IPVandCognitionDataSet2 
##      AIC      BIC   logLik deviance 
##    950.4    973.1   -467.2    934.4 
## Random effects:
##  Groups   Name        Std.Dev. Corr
##  HNDid    (Intercept) 9.433        
##           Age         0.338    1.00
##  subclass (Intercept) 3.356        
##  Residual             7.414        
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## Fixed Effects:
##  (Intercept)           Age  PovStatBelow  
##       35.431         0.678         6.717

summary(mm1)
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Linear mixed model fit by maximum likelihood ['merModLmerTest']
## Formula: TrailsAtestSec ~ Age + PovStat + (Age | HNDid) + (1 | subclass) 
##    Data: IPVandCognitionDataSet2 
## 
##      AIC      BIC   logLik deviance 
##    950.4    973.1   -467.2    934.4 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 88.989   9.433        
##           Age          0.114   0.338    1.00
##  subclass (Intercept) 11.265   3.356        
##  Residual             54.970   7.414        
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## 
## Fixed effects:
##              Estimate Std. Error     df t value Pr(>|t|)
## (Intercept)    35.431      2.306 40.100   15.36  < 2e-16
## Age             0.678      0.174 60.800    3.90  0.00024
## PovStatBelow    6.717      2.547 64.300    2.64  0.01048
## 
## Correlation of Fixed Effects:
##             (Intr) Age   
## Age          0.770       
## PovStatBelw -0.443 -0.183

plot(st)

plot of chunk unnamed-chunk-1 plot of chunk unnamed-chunk-1


plot(mm1)

plot of chunk unnamed-chunk-1

Trails A Regression Model 2 (with CES)

load("~/Desktop/Megan/Research/IPV and Cognition Paper/IPV R Output/IPVandCognitionDataSet2.rda")

library(lme4)
library(lmerTest)

(mm2 = lmer(TrailsAtestSec ~ (Age + IPVstatus + PovStat + Sex + CES1)^5 + (Age | 
    HNDid) + (1 | subclass), data = IPVandCognitionDataSet2))
## Warning: number of observations <= rank(Z); variance-covariance matrix
## will be unidentifiable
## Linear mixed model fit by REML ['merModLmerTest']
## Formula: TrailsAtestSec ~ (Age + IPVstatus + PovStat + Sex + CES1)^5 +      (Age | HNDid) + (1 | subclass) 
##    Data: IPVandCognitionDataSet2 
## REML criterion at convergence: 790.7 
## Random effects:
##  Groups   Name        Std.Dev. Corr
##  HNDid    (Intercept) 8.064        
##           Age         0.395    1.00
##  subclass (Intercept) 7.397        
##  Residual             6.980        
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## Fixed Effects:
##                              (Intercept)  
##                                   30.365  
##                                      Age  
##                                    0.487  
##                               IPVstatus1  
##                                   14.351  
##                             PovStatBelow  
##                                   12.095  
##                                   SexMen  
##                                    2.020  
##                                    CES11  
##                                   13.566  
##                           Age:IPVstatus1  
##                                    1.446  
##                         Age:PovStatBelow  
##                                   -0.054  
##                               Age:SexMen  
##                                   -0.202  
##                                Age:CES11  
##                                    0.542  
##                  IPVstatus1:PovStatBelow  
##                                   44.256  
##                        IPVstatus1:SexMen  
##                                  -11.188  
##                         IPVstatus1:CES11  
##                                  -31.685  
##                      PovStatBelow:SexMen  
##                                   -2.804  
##                       PovStatBelow:CES11  
##                                  -21.172  
##                             SexMen:CES11  
##                                  -24.971  
##              Age:IPVstatus1:PovStatBelow  
##                                    4.121  
##                    Age:IPVstatus1:SexMen  
##                                   -1.731  
##                     Age:IPVstatus1:CES11  
##                                   -3.004  
##                  Age:PovStatBelow:SexMen  
##                                    0.177  
##                   Age:PovStatBelow:CES11  
##                                   -0.636  
##                         Age:SexMen:CES11  
##                                   -1.076  
##           IPVstatus1:PovStatBelow:SexMen  
##                                  -40.719  
##            IPVstatus1:PovStatBelow:CES11  
##                                   -5.895  
##                  IPVstatus1:SexMen:CES11  
##                                   44.076  
##                PovStatBelow:SexMen:CES11  
##                                   27.872  
##       Age:IPVstatus1:PovStatBelow:SexMen  
##                                   -3.250  
##        Age:IPVstatus1:PovStatBelow:CES11  
##                                    0.257  
##              Age:IPVstatus1:SexMen:CES11  
##                                    5.012  
##            Age:PovStatBelow:SexMen:CES11  
##                                    2.264  
##     IPVstatus1:PovStatBelow:SexMen:CES11  
##                                   12.776  
## Age:IPVstatus1:PovStatBelow:SexMen:CES11  
##                                   -1.919

(st = step(mm2))
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Random term (Age | HNDid) was eliminated because of having correlation +-1 or NaN
## Warning: number of observations <= rank(Z); variance-covariance matrix
## will be unidentifiable
## Random term (Age + 0 | HNDid) was eliminated because of standard deviation being equal to 0
## 
## Random effects:
##                Chi.sq Chi.DF elim.num p.value
## (1 | HNDid)      0.00      1        1       1
## (1 | subclass)  21.12      1     kept       0
## 
## Fixed effects:
##                                   Sum Sq   Mean Sq NumDF DenDF F.value
## Age:IPVstatus:PovStat:Sex:CES1   42.8865   42.8865     1 72.59  0.6859
## Age:IPVstatus:PovStat:CES1      174.3430  174.3430     1 74.57  0.0016
## Age:PovStat:Sex:CES1             13.7889   13.7889     1 79.65  0.7095
## Age:PovStat:CES1                 37.4892   37.4892     1 81.03  0.4787
## IPVstatus:PovStat:Sex:CES1       62.4128   62.4128     1 84.69  0.9357
## IPVstatus:PovStat:CES1          133.2820  133.2820     1 90.14  0.0034
## Age                            2103.1625 2103.1625     1 96.80 27.5107
## IPVstatus                       126.8242  126.8242     1 86.48 16.4815
## PovStat                        1759.5480 1759.5480     1 82.47 33.9089
## Sex                              92.2956   92.2956     1 90.37  4.8045
## CES1                              2.9722    2.9722     1 89.00  2.2859
## Age:IPVstatus                   658.2019  658.2019     1 86.56 13.7845
## Age:PovStat                     379.5660  379.5660     1 88.18 11.1758
## Age:Sex                          14.7744   14.7744     1 81.87  3.7534
## Age:CES1                          0.9615    0.9615     1 88.48  0.0750
## IPVstatus:PovStat               118.8368  118.8368     1 97.07 11.9257
## IPVstatus:Sex                   264.5152  264.5152     1 84.80  0.5870
## IPVstatus:CES1                   21.4711   21.4711     1 95.97  1.2055
## PovStat:Sex                     130.9547  130.9547     1 86.86  0.2393
## PovStat:CES1                    191.5774  191.5774     1 97.52  2.3473
## Sex:CES1                        249.4829  249.4829     1 97.03  3.3226
## Age:IPVstatus:PovStat           653.1834  653.1834     1 97.84 10.0966
## Age:IPVstatus:Sex                 0.0969    0.0969     1 84.29  1.8685
## Age:IPVstatus:CES1               82.1379   82.1379     1 92.73  0.5804
## Age:PovStat:Sex                  92.9537   92.9537     1 90.51  0.7839
## Age:Sex:CES1                    519.6226  519.6226     1 94.44  5.1850
## IPVstatus:PovStat:Sex             0.5051    0.5051     1 90.42  4.2837
## IPVstatus:Sex:CES1              258.2273  258.2273     1 92.67 11.9337
## PovStat:Sex:CES1                126.6146  126.6146     1 95.21  3.9738
## Age:IPVstatus:PovStat:Sex       364.9849  364.9849     1 86.40  6.4192
## Age:IPVstatus:Sex:CES1          345.1971  345.1971     1 90.64  9.0169
##                                elim.num Pr(>F)
## Age:IPVstatus:PovStat:Sex:CES1        1 0.4103
## Age:IPVstatus:PovStat:CES1            2 0.9679
## Age:PovStat:Sex:CES1                  3 0.4021
## Age:PovStat:CES1                      4 0.4910
## IPVstatus:PovStat:Sex:CES1            5 0.3361
## IPVstatus:PovStat:CES1                6 0.9535
## Age                                kept      0
## IPVstatus                          kept 0.0001
## PovStat                            kept      0
## Sex                                kept 0.0310
## CES1                               kept 0.1341
## Age:IPVstatus                      kept 0.0004
## Age:PovStat                        kept 0.0012
## Age:Sex                            kept 0.0561
## Age:CES1                           kept 0.7849
## IPVstatus:PovStat                  kept 0.0008
## IPVstatus:Sex                      kept 0.4457
## IPVstatus:CES1                     kept 0.2750
## PovStat:Sex                        kept 0.6260
## PovStat:CES1                       kept 0.1287
## Sex:CES1                           kept 0.0714
## Age:IPVstatus:PovStat              kept 0.0020
## Age:IPVstatus:Sex                  kept 0.1753
## Age:IPVstatus:CES1                 kept 0.4481
## Age:PovStat:Sex                    kept 0.3783
## Age:Sex:CES1                       kept 0.0250
## IPVstatus:PovStat:Sex              kept 0.0413
## IPVstatus:Sex:CES1                 kept 0.0008
## PovStat:Sex:CES1                   kept 0.0491
## Age:IPVstatus:PovStat:Sex          kept 0.0131
## Age:IPVstatus:Sex:CES1             kept 0.0035
## 
## Least squares means:
##                                      IPVstatus PovStat  Sex CES1 Estimate
## IPVstatus  0                               1.0      NA   NA   NA     31.9
## IPVstatus  1                               2.0      NA   NA   NA     37.0
## PovStat  Above                              NA     1.0   NA   NA     29.1
## PovStat  Below                              NA     2.0   NA   NA     39.8
## Sex  Women                                  NA      NA  2.0   NA     36.0
## Sex  Men                                    NA      NA  1.0   NA     33.0
## CES1  0                                     NA      NA   NA  1.0     36.8
## CES1  1                                     NA      NA   NA  2.0     32.1
## IPVstatus:PovStat  0 Above                 1.0     1.0   NA   NA     29.1
## IPVstatus:PovStat  1 Above                 2.0     1.0   NA   NA     29.1
## IPVstatus:PovStat  0 Below                 1.0     2.0   NA   NA     34.7
## IPVstatus:PovStat  1 Below                 2.0     2.0   NA   NA     44.9
## IPVstatus:Sex  0 Women                     1.0      NA  2.0   NA     34.0
## IPVstatus:Sex  1 Women                     2.0      NA  2.0   NA     37.9
## IPVstatus:Sex  0 Men                       1.0      NA  1.0   NA     29.8
## IPVstatus:Sex  1 Men                       2.0      NA  1.0   NA     36.1
## IPVstatus:CES1  0 0                        1.0      NA   NA  1.0     33.3
## IPVstatus:CES1  1 0                        2.0      NA   NA  1.0     40.4
## IPVstatus:CES1  0 1                        1.0      NA   NA  2.0     30.5
## IPVstatus:CES1  1 1                        2.0      NA   NA  2.0     33.7
## PovStat:Sex  Above Women                    NA     1.0  2.0   NA     31.0
## PovStat:Sex  Below Women                    NA     2.0  2.0   NA     40.9
## PovStat:Sex  Above Men                      NA     1.0  1.0   NA     27.2
## PovStat:Sex  Below Men                      NA     2.0  1.0   NA     38.7
## PovStat:CES1  Above 0                       NA     1.0   NA  1.0     29.3
## PovStat:CES1  Below 0                       NA     2.0   NA  1.0     44.4
## PovStat:CES1  Above 1                       NA     1.0   NA  2.0     28.9
## PovStat:CES1  Below 1                       NA     2.0   NA  2.0     35.3
## Sex:CES1  Women 0                           NA      NA  2.0  1.0     38.4
## Sex:CES1  Men 0                             NA      NA  1.0  1.0     35.3
## Sex:CES1  Women 1                           NA      NA  2.0  2.0     33.5
## Sex:CES1  Men 1                             NA      NA  1.0  2.0     30.6
## IPVstatus:PovStat:Sex  0 Above Women       1.0     1.0  2.0   NA     32.2
## IPVstatus:PovStat:Sex  1 Above Women       2.0     1.0  2.0   NA     29.8
## IPVstatus:PovStat:Sex  0 Below Women       1.0     2.0  2.0   NA     35.8
## IPVstatus:PovStat:Sex  1 Below Women       2.0     2.0  2.0   NA     46.1
## IPVstatus:PovStat:Sex  0 Above Men         1.0     1.0  1.0   NA     25.9
## IPVstatus:PovStat:Sex  1 Above Men         2.0     1.0  1.0   NA     28.5
## IPVstatus:PovStat:Sex  0 Below Men         1.0     2.0  1.0   NA     33.6
## IPVstatus:PovStat:Sex  1 Below Men         2.0     2.0  1.0   NA     43.7
## IPVstatus:Sex:CES1  0 Women 0              1.0      NA  2.0  1.0     33.4
## IPVstatus:Sex:CES1  1 Women 0              2.0      NA  2.0  1.0     43.4
## IPVstatus:Sex:CES1  0 Men 0                1.0      NA  1.0  1.0     33.2
## IPVstatus:Sex:CES1  1 Men 0                2.0      NA  1.0  1.0     37.4
## IPVstatus:Sex:CES1  0 Women 1              1.0      NA  2.0  2.0     34.6
## IPVstatus:Sex:CES1  1 Women 1              2.0      NA  2.0  2.0     32.5
## IPVstatus:Sex:CES1  0 Men 1                1.0      NA  1.0  2.0     26.4
## IPVstatus:Sex:CES1  1 Men 1                2.0      NA  1.0  2.0     34.9
## PovStat:Sex:CES1  Above Women 0             NA     1.0  2.0  1.0     28.6
## PovStat:Sex:CES1  Below Women 0             NA     2.0  2.0  1.0     48.2
## PovStat:Sex:CES1  Above Men 0               NA     1.0  1.0  1.0     30.1
## PovStat:Sex:CES1  Below Men 0               NA     2.0  1.0  1.0     40.5
## PovStat:Sex:CES1  Above Women 1             NA     1.0  2.0  2.0     33.4
## PovStat:Sex:CES1  Below Women 1             NA     2.0  2.0  2.0     33.7
## PovStat:Sex:CES1  Above Men 1               NA     1.0  1.0  2.0     24.3
## PovStat:Sex:CES1  Below Men 1               NA     2.0  1.0  2.0     36.9
##                                      Standard Error   DF t-value Lower CI
## IPVstatus  0                                   2.28 21.2   14.01     27.2
## IPVstatus  1                                   2.74 40.5   13.52     31.5
## PovStat  Above                                 2.26 21.0   12.86     24.4
## PovStat  Below                                 2.76 39.2   14.40     34.2
## Sex  Women                                     2.35 23.4   15.30     31.1
## Sex  Men                                       2.88 43.9   11.42     27.1
## CES1  0                                        2.56 31.3   14.40     31.6
## CES1  1                                        2.45 27.8   13.06     27.0
## IPVstatus:PovStat  0 Above                     2.29 21.8   12.70     24.3
## IPVstatus:PovStat  1 Above                     3.06 56.8    9.51     23.0
## IPVstatus:PovStat  0 Below                     3.04 54.1   11.44     28.6
## IPVstatus:PovStat  1 Below                     3.69 73.4   12.18     37.6
## IPVstatus:Sex  0 Women                         2.40 25.1   14.15     29.0
## IPVstatus:Sex  1 Women                         3.05 53.6   12.43     31.8
## IPVstatus:Sex  0 Men                           3.07 50.2    9.69     23.6
## IPVstatus:Sex  1 Men                           3.89 83.4    9.27     28.4
## IPVstatus:CES1  0 0                            2.47 27.6   13.51     28.3
## IPVstatus:CES1  1 0                            3.74 77.4   10.78     32.9
## IPVstatus:CES1  0 1                            2.72 39.4   11.22     25.0
## IPVstatus:CES1  1 1                            2.99 50.4   11.27     27.7
## PovStat:Sex  Above Women                       2.35 23.4   13.20     26.1
## PovStat:Sex  Below Women                       3.06 53.1   13.37     34.8
## PovStat:Sex  Above Men                         3.01 50.0    9.04     21.2
## PovStat:Sex  Below Men                         3.83 78.7   10.10     31.1
## PovStat:CES1  Above 0                          3.09 53.1    9.49     23.1
## PovStat:CES1  Below 0                          3.14 53.3   14.11     38.0
## PovStat:CES1  Above 1                          2.52 28.9   11.45     23.7
## PovStat:CES1  Below 1                          3.60 72.5    9.81     28.1
## Sex:CES1  Women 0                              2.93 47.6   13.09     32.5
## Sex:CES1  Men 0                                3.36 65.2   10.50     28.6
## Sex:CES1  Women 1                              2.77 35.6   12.11     27.9
## Sex:CES1  Men 1                                3.34 64.2    9.18     23.9
## IPVstatus:PovStat:Sex  0 Above Women           2.59 31.8   12.44     26.9
## IPVstatus:PovStat:Sex  1 Above Women           2.87 47.3   10.39     24.0
## IPVstatus:PovStat:Sex  0 Below Women           3.38 58.9   10.58     29.0
## IPVstatus:PovStat:Sex  1 Below Women           4.68 94.1    9.84     36.8
## IPVstatus:PovStat:Sex  0 Above Men             2.92 45.3    8.89     20.1
## IPVstatus:PovStat:Sex  1 Above Men             4.84 98.3    5.89     18.9
## IPVstatus:PovStat:Sex  0 Below Men             4.65 96.0    7.23     24.4
## IPVstatus:PovStat:Sex  1 Below Men             5.22 95.1    8.38     33.4
## IPVstatus:Sex:CES1  0 Women 0                  2.71 39.9   12.33     27.9
## IPVstatus:Sex:CES1  1 Women 0                  4.35 89.7    9.97     34.7
## IPVstatus:Sex:CES1  0 Men 0                    3.24 57.4   10.24     26.7
## IPVstatus:Sex:CES1  1 Men 0                    5.64 99.5    6.62     26.2
## IPVstatus:Sex:CES1  0 Women 1                  3.09 49.3   11.18     28.4
## IPVstatus:Sex:CES1  1 Women 1                  3.33 61.3    9.74     25.8
## IPVstatus:Sex:CES1  0 Men 1                    3.99 82.8    6.61     18.4
## IPVstatus:Sex:CES1  1 Men 1                    4.40 90.7    7.92     26.1
## PovStat:Sex:CES1  Above Women 0                2.79 41.6   10.25     23.0
## PovStat:Sex:CES1  Below Women 0                4.18 88.9   11.53     39.9
## PovStat:Sex:CES1  Above Men 0                  4.75 95.9    6.33     20.7
## PovStat:Sex:CES1  Below Men 0                  3.90 78.5   10.38     32.7
## PovStat:Sex:CES1  Above Women 1                2.80 39.1   11.93     27.7
## PovStat:Sex:CES1  Below Women 1                3.63 70.8    9.27     26.4
## PovStat:Sex:CES1  Above Men 1                  3.57 59.6    6.82     17.2
## PovStat:Sex:CES1  Below Men 1                  5.71 99.3    6.46     25.5
##                                      Upper CI p-value
## IPVstatus  0                             36.6  <2e-16
## IPVstatus  1                             42.5  <2e-16
## PovStat  Above                           33.8  <2e-16
## PovStat  Below                           45.4  <2e-16
## Sex  Women                               40.8  <2e-16
## Sex  Men                                 38.8  <2e-16
## CES1  0                                  42.1  <2e-16
## CES1  1                                  37.1  <2e-16
## IPVstatus:PovStat  0 Above               33.8  <2e-16
## IPVstatus:PovStat  1 Above               35.3  <2e-16
## IPVstatus:PovStat  0 Below               40.8  <2e-16
## IPVstatus:PovStat  1 Below               52.2  <2e-16
## IPVstatus:Sex  0 Women                   38.9  <2e-16
## IPVstatus:Sex  1 Women                   44.1  <2e-16
## IPVstatus:Sex  0 Men                     36.0  <2e-16
## IPVstatus:Sex  1 Men                     43.8  <2e-16
## IPVstatus:CES1  0 0                      38.4  <2e-16
## IPVstatus:CES1  1 0                      47.8  <2e-16
## IPVstatus:CES1  0 1                      36.0  <2e-16
## IPVstatus:CES1  1 1                      39.7  <2e-16
## PovStat:Sex  Above Women                 35.8  <2e-16
## PovStat:Sex  Below Women                 47.1  <2e-16
## PovStat:Sex  Above Men                   33.3  <2e-16
## PovStat:Sex  Below Men                   46.3  <2e-16
## PovStat:CES1  Above 0                    35.5  <2e-16
## PovStat:CES1  Below 0                    50.7  <2e-16
## PovStat:CES1  Above 1                    34.0  <2e-16
## PovStat:CES1  Below 1                    42.4  <2e-16
## Sex:CES1  Women 0                        44.3  <2e-16
## Sex:CES1  Men 0                          42.0  <2e-16
## Sex:CES1  Women 1                        39.1  <2e-16
## Sex:CES1  Men 1                          37.3  <2e-16
## IPVstatus:PovStat:Sex  0 Above Women     37.4  <2e-16
## IPVstatus:PovStat:Sex  1 Above Women     35.6  <2e-16
## IPVstatus:PovStat:Sex  0 Below Women     42.6  <2e-16
## IPVstatus:PovStat:Sex  1 Below Women     55.4  <2e-16
## IPVstatus:PovStat:Sex  0 Above Men       31.8  <2e-16
## IPVstatus:PovStat:Sex  1 Above Men       38.1  <2e-16
## IPVstatus:PovStat:Sex  0 Below Men       42.9  <2e-16
## IPVstatus:PovStat:Sex  1 Below Men       54.1  <2e-16
## IPVstatus:Sex:CES1  0 Women 0            38.9  <2e-16
## IPVstatus:Sex:CES1  1 Women 0            52.0  <2e-16
## IPVstatus:Sex:CES1  0 Men 0              39.7  <2e-16
## IPVstatus:Sex:CES1  1 Men 0              48.5  <2e-16
## IPVstatus:Sex:CES1  0 Women 1            40.8  <2e-16
## IPVstatus:Sex:CES1  1 Women 1            39.1  <2e-16
## IPVstatus:Sex:CES1  0 Men 1              34.3  <2e-16
## IPVstatus:Sex:CES1  1 Men 1              43.6  <2e-16
## PovStat:Sex:CES1  Above Women 0          34.2  <2e-16
## PovStat:Sex:CES1  Below Women 0          56.5  <2e-16
## PovStat:Sex:CES1  Above Men 0            39.5  <2e-16
## PovStat:Sex:CES1  Below Men 0            48.3  <2e-16
## PovStat:Sex:CES1  Above Women 1          39.0  <2e-16
## PovStat:Sex:CES1  Below Women 1          40.9  <2e-16
## PovStat:Sex:CES1  Above Men 1            31.5  <2e-16
## PovStat:Sex:CES1  Below Men 1            48.2  <2e-16
## 
##  Differences of LSMEANS:
##                                       Estimate Standard Error    DF
## IPVstatus 0-1                             -5.1         2.3586  86.7
## PovStat Above-Below                      -10.7         2.3906  94.1
## Sex Women-Men                              3.0         2.8084  96.3
## CES1 0-1                                   4.8         2.3122  92.7
## IPVstatus:PovStat  0 Above- 1 Above       -0.1         2.9624  86.1
## IPVstatus:PovStat  0 Above- 0 Below       -5.7         2.8579  87.1
## IPVstatus:PovStat  0 Above- 1 Below      -15.8         3.5316  92.6
## IPVstatus:PovStat  1 Above- 0 Below       -5.6         3.1755  88.1
## IPVstatus:PovStat  1 Above- 1 Below      -15.8         3.9922  95.0
## IPVstatus:PovStat  0 Below- 1 Below      -10.2         3.8762  90.9
## IPVstatus:Sex  0 Women- 1 Women           -3.9         2.8424  89.8
## IPVstatus:Sex  0 Women- 0 Men              4.2         3.1166  98.5
## IPVstatus:Sex  0 Women- 1 Men             -2.1         3.7006  89.3
## IPVstatus:Sex  1 Women- 0 Men              8.1         3.6341  96.0
## IPVstatus:Sex  1 Women- 1 Men              1.8         4.3522  92.2
## IPVstatus:Sex  0 Men- 1 Men               -6.3         3.9908  90.2
## IPVstatus:CES1  0 0- 1 0                  -7.1         3.7437  92.6
## IPVstatus:CES1  0 0- 0 1                   2.8         2.4860  90.9
## IPVstatus:CES1  0 0- 1 1                  -0.3         2.9332  90.2
## IPVstatus:CES1  1 0- 0 1                   9.9         3.6353  89.5
## IPVstatus:CES1  1 0- 1 1                   6.7         3.9863  95.4
## IPVstatus:CES1  0 1- 1 1                  -3.2         2.9134  90.0
## PovStat:Sex  Above Women- Below Women    -10.0         2.7679  90.7
## PovStat:Sex  Above Women- Above Men        3.8         2.9469  96.3
## PovStat:Sex  Above Women- Below Men       -7.7         3.7790  95.5
## PovStat:Sex  Below Women- Above Men       13.7         3.5951  95.4
## PovStat:Sex  Below Women- Below Men        2.3         4.1857  91.9
## PovStat:Sex  Above Men- Below Men        -11.5         3.7681  91.9
## PovStat:CES1  Above 0- Below 0           -15.0         3.5602  96.6
## PovStat:CES1  Above 0- Above 1             0.5         3.3694  97.4
## PovStat:CES1  Above 0- Below 1            -5.9         3.5987  94.1
## PovStat:CES1  Below 0- Above 1            15.5         3.0286  92.4
## PovStat:CES1  Below 0- Below 1             9.1         3.8816  94.4
## PovStat:CES1  Above 1- Below 1            -6.4         3.8056  95.9
## Sex:CES1  Women 0- Men 0                   3.1         3.6859  91.0
## Sex:CES1  Women 0- Women 1                 4.9         3.2297  98.5
## Sex:CES1  Women 0- Men 1                   7.8         3.6260  90.6
## Sex:CES1  Men 0- Women 1                   1.8         3.6497  98.1
## Sex:CES1  Men 0- Men 1                     4.7         3.3982  86.9
## Sex:CES1  Women 1- Men 1                   2.9         3.6708  98.6
##                                       t-value Lower CI Upper CI p-value
## IPVstatus 0-1                           -2.17   -9.813  -0.4365   0.033
## PovStat Above-Below                     -4.48  -15.462  -5.9686  <2e-16
## Sex Women-Men                            1.07   -2.564   8.5847   0.286
## CES1 0-1                                 2.07    0.184   9.3675   0.042
## IPVstatus:PovStat  0 Above- 1 Above     -0.03   -5.968   5.8104   0.979
## IPVstatus:PovStat  0 Above- 0 Below     -1.98  -11.349   0.0112   0.050
## IPVstatus:PovStat  0 Above- 1 Below     -4.49  -22.853  -8.8265  <2e-16
## IPVstatus:PovStat  1 Above- 0 Below     -1.76  -11.901   0.7200   0.082
## IPVstatus:PovStat  1 Above- 1 Below     -3.95  -23.687  -7.8358   2e-04
## IPVstatus:PovStat  0 Below- 1 Below     -2.62  -17.870  -2.4710   0.010
## IPVstatus:Sex  0 Women- 1 Women         -1.39   -9.594   1.6999   0.168
## IPVstatus:Sex  0 Women- 0 Men            1.34   -1.996  10.3721   0.182
## IPVstatus:Sex  0 Women- 1 Men           -0.57   -9.467   5.2381   0.569
## IPVstatus:Sex  1 Women- 0 Men            2.24    0.921  15.3484   0.028
## IPVstatus:Sex  1 Women- 1 Men            0.42   -6.811  10.4762   0.675
## IPVstatus:Sex  0 Men- 1 Men             -1.58  -14.230   1.6260   0.118
## IPVstatus:CES1  0 0- 1 0                -1.88  -14.487   0.3821   0.063
## IPVstatus:CES1  0 0- 0 1                 1.15   -2.091   7.7857   0.255
## IPVstatus:CES1  0 0- 1 1                -0.12   -6.176   5.4780   0.905
## IPVstatus:CES1  1 0- 0 1                 2.72    2.678  17.1228   0.008
## IPVstatus:CES1  1 0- 1 1                 1.68   -1.210  14.6170   0.096
## IPVstatus:CES1  0 1- 1 1                -1.10   -8.985   2.5914   0.276
## PovStat:Sex  Above Women- Below Women   -3.60  -15.462  -4.4648   5e-04
## PovStat:Sex  Above Women- Above Men      1.28   -2.087   9.6115   0.205
## PovStat:Sex  Above Women- Below Men     -2.04  -15.207  -0.2033   0.044
## PovStat:Sex  Below Women- Above Men      3.82    6.589  20.8622   2e-04
## PovStat:Sex  Below Women- Below Men      0.54   -6.055  10.5715   0.591
## PovStat:Sex  Above Men- Below Men       -3.04  -18.951  -3.9833   0.003
## PovStat:CES1  Above 0- Below 0          -4.22  -22.078  -7.9451   1e-04
## PovStat:CES1  Above 0- Above 1           0.14   -6.208   7.1662   0.887
## PovStat:CES1  Above 0- Below 1          -1.65  -13.085   1.2056   0.102
## PovStat:CES1  Below 0- Above 1           5.11    9.476  21.5055  <2e-16
## PovStat:CES1  Below 0- Below 1           2.34    1.365  16.7785   0.021
## PovStat:CES1  Above 1- Below 1          -1.69  -13.973   1.1352   0.095
## Sex:CES1  Women 0- Men 0                 0.84   -4.217  10.4261   0.402
## Sex:CES1  Women 0- Women 1               1.51   -1.539  11.2788   0.135
## Sex:CES1  Women 0- Men 1                 2.15    0.583  14.9887   0.034
## Sex:CES1  Men 0- Women 1                 0.48   -5.477   9.0079   0.630
## Sex:CES1  Men 0- Men 1                   1.38   -2.073  11.4356   0.172
## Sex:CES1  Women 1- Men 1                 0.79   -4.368  10.1998   0.429
## 
## Final model:
## lme4::lmer(formula = TrailsAtestSec ~ Age + IPVstatus + PovStat + 
##     Sex + CES1 + (1 | subclass) + Age:IPVstatus + Age:PovStat + 
##     Age:Sex + Age:CES1 + IPVstatus:PovStat + IPVstatus:Sex + 
##     IPVstatus:CES1 + PovStat:Sex + PovStat:CES1 + Sex:CES1 + 
##     Age:IPVstatus:PovStat + Age:IPVstatus:Sex + Age:IPVstatus:CES1 + 
##     Age:PovStat:Sex + Age:Sex:CES1 + IPVstatus:PovStat:Sex + 
##     IPVstatus:Sex:CES1 + PovStat:Sex:CES1 + Age:IPVstatus:PovStat:Sex + 
##     Age:IPVstatus:Sex:CES1, data = IPVandCognitionDataSet2, REML = reml, 
##     contrasts = l)

Re-run suggested final Model 2

(mm2 = lmer(TrailsAtestSec ~ Age + IPVstatus + PovStat + Sex + CES1 + (Age | 
    HNDid) + (1 | subclass) + Age:IPVstatus + Age:PovStat + Age:Sex + Age:CES1 + 
    IPVstatus:PovStat + IPVstatus:Sex + IPVstatus:CES1 + PovStat:Sex + PovStat:CES1 + 
    Sex:CES1 + Age:IPVstatus:PovStat + Age:IPVstatus:Sex + Age:IPVstatus:CES1 + 
    Age:PovStat:Sex + Age:Sex:CES1 + IPVstatus:PovStat:Sex + IPVstatus:Sex:CES1 + 
    PovStat:Sex:CES1 + Age:IPVstatus:PovStat:Sex + Age:IPVstatus:Sex:CES1, data = IPVandCognitionDataSet2))
## Warning: number of observations <= rank(Z); variance-covariance matrix
## will be unidentifiable
## Linear mixed model fit by REML ['merModLmerTest']
## Formula: TrailsAtestSec ~ Age + IPVstatus + PovStat + Sex + CES1 + (Age |      HNDid) + (1 | subclass) + Age:IPVstatus + Age:PovStat + Age:Sex +      Age:CES1 + IPVstatus:PovStat + IPVstatus:Sex + IPVstatus:CES1 +      PovStat:Sex + PovStat:CES1 + Sex:CES1 + Age:IPVstatus:PovStat +      Age:IPVstatus:Sex + Age:IPVstatus:CES1 + Age:PovStat:Sex +      Age:Sex:CES1 + IPVstatus:PovStat:Sex + IPVstatus:Sex:CES1 +      PovStat:Sex:CES1 + Age:IPVstatus:PovStat:Sex + Age:IPVstatus:Sex:CES1 
##    Data: IPVandCognitionDataSet2 
## REML criterion at convergence: 820.9 
## Random effects:
##  Groups   Name        Std.Dev. Corr
##  HNDid    (Intercept) 7.545        
##           Age         0.364    1.00
##  subclass (Intercept) 7.557        
##  Residual             6.825        
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## Fixed Effects:
##                        (Intercept)                                 Age  
##                             30.723                               0.586  
##                         IPVstatus1                        PovStatBelow  
##                             15.276                               9.076  
##                             SexMen                               CES11  
##                              1.239                              12.807  
##                     Age:IPVstatus1                    Age:PovStatBelow  
##                              1.431                              -0.483  
##                         Age:SexMen                           Age:CES11  
##                             -0.352                               0.325  
##            IPVstatus1:PovStatBelow                   IPVstatus1:SexMen  
##                             39.325                             -22.233  
##                   IPVstatus1:CES11                 PovStatBelow:SexMen  
##                            -32.968                               0.560  
##                 PovStatBelow:CES11                        SexMen:CES11  
##                            -16.996                             -21.380  
##        Age:IPVstatus1:PovStatBelow               Age:IPVstatus1:SexMen  
##                              4.099                              -2.155  
##               Age:IPVstatus1:CES11             Age:PovStatBelow:SexMen  
##                             -2.901                               0.871  
##                   Age:SexMen:CES11      IPVstatus1:PovStatBelow:SexMen  
##                             -0.454                             -24.420  
##            IPVstatus1:SexMen:CES11           PovStatBelow:SexMen:CES11  
##                             52.708                              18.418  
## Age:IPVstatus1:PovStatBelow:SexMen         Age:IPVstatus1:SexMen:CES11  
##                             -2.997                               4.912

summary(mm2)
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Warning: number of observations <= rank(Z); variance-covariance matrix will be unidentifiable
## Linear mixed model fit by REML ['merModLmerTest']
## Formula: TrailsAtestSec ~ Age + IPVstatus + PovStat + Sex + CES1 + (Age |      HNDid) + (1 | subclass) + Age:IPVstatus + Age:PovStat + Age:Sex +      Age:CES1 + IPVstatus:PovStat + IPVstatus:Sex + IPVstatus:CES1 +      PovStat:Sex + PovStat:CES1 + Sex:CES1 + Age:IPVstatus:PovStat +      Age:IPVstatus:Sex + Age:IPVstatus:CES1 + Age:PovStat:Sex +      Age:Sex:CES1 + IPVstatus:PovStat:Sex + IPVstatus:Sex:CES1 +      PovStat:Sex:CES1 + Age:IPVstatus:PovStat:Sex + Age:IPVstatus:Sex:CES1 
##    Data: IPVandCognitionDataSet2 
## 
## REML criterion at convergence: 820.9 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 56.924   7.545        
##           Age          0.132   0.364    1.00
##  subclass (Intercept) 57.113   7.557        
##  Residual             46.576   6.825        
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## 
## Fixed effects:
##                                    Estimate Std. Error      df t value
## (Intercept)                          30.723      5.077  25.300    6.05
## Age                                   0.586      0.361  38.900    1.62
## IPVstatus1                           15.276      9.216  45.600    1.66
## PovStatBelow                          9.076      7.454  31.800    1.22
## SexMen                                1.239      6.706  19.300    0.18
## CES11                                12.807      6.478  27.800    1.98
## Age:IPVstatus1                        1.431      0.801  78.400    1.79
## Age:PovStatBelow                     -0.483      0.550  33.500   -0.88
## Age:SexMen                           -0.352      0.515  29.900   -0.68
## Age:CES11                             0.325      0.518  63.800    0.63
## IPVstatus1:PovStatBelow              39.325     14.214  47.000    2.77
## IPVstatus1:SexMen                   -22.233     18.424  34.500   -1.21
## IPVstatus1:CES11                    -32.968     11.556  41.800   -2.85
## PovStatBelow:SexMen                   0.560      9.896  24.300    0.06
## PovStatBelow:CES11                  -16.996      5.358  25.900   -3.17
## SexMen:CES11                        -21.380     11.678  50.300   -1.83
## Age:IPVstatus1:PovStatBelow           4.099      1.285  73.300    3.19
## Age:IPVstatus1:SexMen                -2.155      1.302  55.600   -1.66
## Age:IPVstatus1:CES11                 -2.901      1.011  71.300   -2.87
## Age:PovStatBelow:SexMen               0.871      0.907  32.700    0.96
## Age:SexMen:CES11                     -0.454      1.042  80.400   -0.44
## IPVstatus1:PovStatBelow:SexMen      -24.420     19.490  37.700   -1.25
## IPVstatus1:SexMen:CES11              52.708     17.911  25.600    2.94
## PovStatBelow:SexMen:CES11            18.418     11.846  57.600    1.55
## Age:IPVstatus1:PovStatBelow:SexMen   -2.997      1.731  59.500   -1.73
## Age:IPVstatus1:SexMen:CES11           4.912      1.558  61.800    3.15
##                                    Pr(>|t|)
## (Intercept)                         2.4e-06
## Age                                  0.1132
## IPVstatus1                           0.1043
## PovStatBelow                         0.2323
## SexMen                               0.8553
## CES11                                0.0580
## Age:IPVstatus1                       0.0777
## Age:PovStatBelow                     0.3859
## Age:SexMen                           0.4999
## Age:CES11                            0.5329
## IPVstatus1:PovStatBelow              0.0081
## IPVstatus1:SexMen                    0.2357
## IPVstatus1:CES11                     0.0067
## PovStatBelow:SexMen                  0.9553
## PovStatBelow:CES11                   0.0039
## SexMen:CES11                         0.0731
## Age:IPVstatus1:PovStatBelow          0.0021
## Age:IPVstatus1:SexMen                0.1035
## Age:IPVstatus1:CES11                 0.0054
## Age:PovStatBelow:SexMen              0.3438
## Age:SexMen:CES11                     0.6640
## IPVstatus1:PovStatBelow:SexMen       0.2179
## IPVstatus1:SexMen:CES11              0.0068
## PovStatBelow:SexMen:CES11            0.1255
## Age:IPVstatus1:PovStatBelow:SexMen   0.0885
## Age:IPVstatus1:SexMen:CES11          0.0025
## 
## Correlation matrix not shown by default, as p = 26 > 20.
## Use print(x, correlation=TRUE)  or
##     vcov(x)   if you need it

plot(st)

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plot(mm2)

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