Visualize intake data

Demographics

Characteristic N = 2061
Gender
    Female 147 (71%)
    Male 54 (26%)
    Other (specify) 2 (1.0%)
    Prefer not to answer 3 (1.5%)
Education
    Bachelor's degree 32 (16%)
    High school 60 (29%)
    Higher degree (Law, PhD, MD, etc.) 1 (0.5%)
    Master's degree 6 (2.9%)
    Some college or associate's degree 107 (52%)
Hispanic/Latino 68 (33%)
    Unknown 1
White 69 (33%)
Black/African-American 18 (8.7%)
American Indian or Alaska Native 5 (2.4%)
Asian or Asian American 79 (38%)
Native Hawaiian or Pacific Islander 5 (2.4%)
1 n (%)

Visualize daily data

## pivot_longer: reorganized (stressed, angry, sad, anxious, depressed, …) into (var, value) [was 931x44, now 32585x11]
## filter: removed 30,723 rows (94%), 1,862 rows remaining

## filter: removed 26,999 rows (83%), 5,586 rows remaining

## filter: removed 26,999 rows (83%), 5,586 rows remaining

## filter: removed 30,723 rows (94%), 1,862 rows remaining

Analyze DIF data

Visualize dif

DIF linear model

# fit and look at linear model
dif_lm = lm(difc ~ paq_g_dif, data=daily_clean)
summary(dif_lm)
## 
## Call:
## lm(formula = difc ~ paq_g_dif, data = daily_clean)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -2.8556 -1.3316 -0.5145  1.4245  4.7293 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -1.464394   0.171064  -8.561   <2e-16 ***
## paq_g_dif    0.060958   0.006591   9.248   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.747 on 886 degrees of freedom
##   (43 observations deleted due to missingness)
## Multiple R-squared:  0.08803,    Adjusted R-squared:  0.087 
## F-statistic: 85.53 on 1 and 886 DF,  p-value: < 2.2e-16

DIF mixed model

Unconditional means model

model0_fit <- lmer(formula = difc ~ 1 + (1|pid),
                   data=daily_clean)
summary(model0_fit)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: difc ~ 1 + (1 | pid)
##    Data: daily_clean
## 
## REML criterion at convergence: 3420.6
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -2.4618 -0.6001 -0.1865  0.5111  3.8125 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  pid      (Intercept) 1.280    1.131   
##  Residual             2.062    1.436   
## Number of obs: 924, groups:  pid, 52
## 
## Fixed effects:
##             Estimate Std. Error       df t value Pr(>|t|)
## (Intercept) -0.03045    0.16390 50.95016  -0.186    0.853
VarCorr(model0_fit)
##  Groups   Name        Std.Dev.
##  pid      (Intercept) 1.1313  
##  Residual             1.4359
# Store random effect variances
RandomEffects0 <- as.data.frame(VarCorr(model0_fit))
RandomEffects0
##        grp        var1 var2     vcov    sdcor
## 1      pid (Intercept) <NA> 1.279803 1.131284
## 2 Residual        <NA> <NA> 2.061684 1.435856
# compute ICC between
ICC_between0 <- RandomEffects0[1,4]/(RandomEffects0[1,4]+RandomEffects0[2,4]) 
ICC_between0
## [1] 0.3830041
# predicting state_dif without accounting for trait dif

# ICC ≈ 0.38 --> ~38% of variance attributable to between-person
# ~62% attributable to within-person variation

Random intercept and slope model

model1_fit = lmer(difc ~ paq_g_dif + (1 + paq_g_dif | pid),
                 data=daily_clean)
## boundary (singular) fit: see help('isSingular')
summary(model1_fit)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: difc ~ paq_g_dif + (1 + paq_g_dif | pid)
##    Data: daily_clean
## 
## REML criterion at convergence: 3297.6
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -2.4433 -0.6144 -0.2004  0.5475  3.7320 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  pid      (Intercept) 7.107e-01 0.843057     
##           paq_g_dif   3.935e-05 0.006273 1.00
##  Residual             2.102e+00 1.449921     
## Number of obs: 888, groups:  pid, 50
## 
## Fixed effects:
##             Estimate Std. Error       df t value Pr(>|t|)    
## (Intercept) -1.48395    0.41838 36.45601  -3.547 0.001092 ** 
## paq_g_dif    0.06121    0.01683 45.58842   3.638 0.000697 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##           (Intr)
## paq_g_dif -0.935
## optimizer (nloptwrap) convergence code: 0 (OK)
## boundary (singular) fit: see help('isSingular')
#predictInterval(model1_fit)
REsim(model1_fit)
##     groupFctr groupID        term          mean        median        sd
## 1         pid   77131 (Intercept) -0.9476186269 -0.9603404828 0.3482472
## 2         pid   89353 (Intercept)  0.8453133606  0.8508519874 0.3527943
## 3         pid   94714 (Intercept) -0.8675573133 -0.8751674707 0.3629993
## 4         pid   98533 (Intercept) -1.1349938943 -1.1538372565 0.2916940
## 5         pid   99391 (Intercept)  0.1484211047  0.1476870425 0.2996009
## 6         pid  100222 (Intercept)  1.0132790183  1.0071272216 0.2628711
## 7         pid  101662 (Intercept) -0.3219895446 -0.3127030670 0.3206842
## 8         pid  101788 (Intercept)  1.0485427134  1.0531430864 0.2901425
## 9         pid  103156 (Intercept) -0.7871965080 -0.7722317503 0.3283093
## 10        pid  103711 (Intercept)  0.1350613641  0.1451649321 0.3312420
## 11        pid  104128 (Intercept)  0.1754120369  0.1656758070 0.3017367
## 12        pid  104770 (Intercept)  0.4216329935  0.4153836325 0.3160458
## 13        pid  104836 (Intercept)  0.2731181554  0.2714816305 0.3227672
## 14        pid  105151 (Intercept) -0.7372730398 -0.7302029777 0.3436983
## 15        pid  105163 (Intercept)  0.0306581696  0.0115067083 0.2929821
## 16        pid  105172 (Intercept) -1.2072008957 -1.2188069290 0.3096794
## 17        pid  105196 (Intercept) -0.0091181971 -0.0373603411 0.3868272
## 18        pid  105232 (Intercept)  0.1656302542  0.1594589534 0.3054237
## 19        pid  105253 (Intercept)  0.0028985172  0.0321705510 0.3421199
## 20        pid  105268 (Intercept) -0.9147091371 -0.9214869555 0.3656671
## 21        pid  105334 (Intercept) -0.8938371458 -0.8977177224 0.3056553
## 22        pid  105376 (Intercept) -1.1270842699 -1.1225563204 0.2669884
## 23        pid  105427 (Intercept)  0.3775184182  0.3853883155 0.2966022
## 24        pid  105454 (Intercept) -0.6761682395 -0.6549956113 0.3188193
## 25        pid  105457 (Intercept)  0.9176924995  0.9303724981 0.3142846
## 26        pid  105463 (Intercept)  1.2612627370  1.2460305847 0.2741698
## 27        pid  105466 (Intercept)  1.1706633038  1.1403241474 0.3979956
## 28        pid  105478 (Intercept) -0.9305615518 -0.9294763434 0.3096830
## 29        pid  105499 (Intercept) -1.1413775696 -1.1468623262 0.3271617
## 30        pid  105538 (Intercept)  0.3419547462  0.3371566974 0.3294450
## 31        pid  105562 (Intercept) -0.5871444765 -0.6037519503 0.3300382
## 32        pid  105616 (Intercept)  0.1728597529  0.1691911752 0.2963830
## 33        pid  105670 (Intercept) -0.6383130700 -0.6243115266 0.2811478
## 34        pid  105679 (Intercept) -0.2679845861 -0.2766491524 0.3192527
## 35        pid  105748 (Intercept)  0.5527394620  0.5714851254 0.3077551
## 36        pid  105796 (Intercept) -1.1178920024 -1.1356760762 0.3021950
## 37        pid  105904 (Intercept)  0.4403042587  0.4214277927 0.3282645
## 38        pid  105937 (Intercept)  0.9417985407  0.9485108220 0.3062181
## 39        pid  105940 (Intercept)  0.4198436122  0.4128391344 0.3298614
## 40        pid  105958 (Intercept) -0.7816970549 -0.8190642779 0.3385914
## 41        pid  106033 (Intercept) -1.0957781392 -1.0697149956 0.3065233
## 42        pid  106036 (Intercept)  1.4340234032  1.4232094025 0.3029339
## 43        pid  106057 (Intercept)  0.5075762407  0.5054646105 0.2675360
## 44        pid  106063 (Intercept)  0.2434426174  0.2712729824 0.3084338
## 45        pid  106108 (Intercept) -0.1757950629 -0.1566537523 0.3007256
## 46        pid  106123 (Intercept)  0.5912402776  0.5803564548 0.3437228
## 47        pid  106282 (Intercept)  1.6029186729  1.5813887285 0.3249854
## 48        pid  106369 (Intercept)  0.9759266782  0.9777088304 0.2883310
## 49        pid  106438 (Intercept) -0.5894649096 -0.6094875194 0.3819405
## 50        pid  106519 (Intercept)  0.0418135623  0.0309306614 0.3124778
## 51        pid   77131   paq_g_dif -0.0069101573 -0.0069101573 0.0000000
## 52        pid   89353   paq_g_dif  0.0064084214  0.0064084214 0.0000000
## 53        pid   94714   paq_g_dif -0.0063331297 -0.0063331297 0.0000000
## 54        pid   98533   paq_g_dif -0.0083087659 -0.0083087659 0.0000000
## 55        pid   99391   paq_g_dif  0.0011644736  0.0011644736 0.0000000
## 56        pid  100222   paq_g_dif  0.0076426121  0.0076426121 0.0000000
## 57        pid  101662   paq_g_dif -0.0021752318 -0.0021752318 0.0000000
## 58        pid  101788   paq_g_dif  0.0074834601  0.0074834601 0.0000000
## 59        pid  103156   paq_g_dif -0.0057450183 -0.0057450183 0.0000000
## 60        pid  103711   paq_g_dif  0.0006004511  0.0006004511 0.0000000
## 61        pid  104128   paq_g_dif  0.0017944222  0.0017944222 0.0000000
## 62        pid  104770   paq_g_dif  0.0029417301  0.0029417301 0.0000000
## 63        pid  104836   paq_g_dif  0.0021424708  0.0021424708 0.0000000
## 64        pid  105151   paq_g_dif -0.0054969003 -0.0054969003 0.0000000
## 65        pid  105163   paq_g_dif  0.0005005193  0.0005005193 0.0000000
## 66        pid  105172   paq_g_dif -0.0092658060 -0.0092658060 0.0000000
## 67        pid  105196   paq_g_dif  0.0003067329  0.0003067329 0.0000000
## 68        pid  105232   paq_g_dif  0.0013638099  0.0013638099 0.0000000
## 69        pid  105253   paq_g_dif  0.0003319452  0.0003319452 0.0000000
## 70        pid  105268   paq_g_dif -0.0068705404 -0.0068705404 0.0000000
## 71        pid  105334   paq_g_dif -0.0067386441 -0.0067386441 0.0000000
## 72        pid  105376   paq_g_dif -0.0081770286 -0.0081770286 0.0000000
## 73        pid  105427   paq_g_dif  0.0029033708  0.0029033708 0.0000000
## 74        pid  105454   paq_g_dif -0.0047375266 -0.0047375266 0.0000000
## 75        pid  105457   paq_g_dif  0.0068523552  0.0068523552 0.0000000
## 76        pid  105463   paq_g_dif  0.0094173334  0.0094173334 0.0000000
## 77        pid  105466   paq_g_dif  0.0089509058  0.0089509058 0.0000000
## 78        pid  105478   paq_g_dif -0.0065396414 -0.0065396414 0.0000000
## 79        pid  105499   paq_g_dif -0.0087737178 -0.0087737178 0.0000000
## 80        pid  105538   paq_g_dif  0.0027316126  0.0027316126 0.0000000
## 81        pid  105562   paq_g_dif -0.0043917241 -0.0043917241 0.0000000
## 82        pid  105616   paq_g_dif  0.0012407231  0.0012407231 0.0000000
## 83        pid  105670   paq_g_dif -0.0047683466 -0.0047683466 0.0000000
## 84        pid  105679   paq_g_dif -0.0014962750 -0.0014962750 0.0000000
## 85        pid  105748   paq_g_dif  0.0041543336  0.0041543336 0.0000000
## 86        pid  105796   paq_g_dif -0.0080075173 -0.0080075173 0.0000000
## 87        pid  105904   paq_g_dif  0.0035908913  0.0035908913 0.0000000
## 88        pid  105937   paq_g_dif  0.0070400245  0.0070400245 0.0000000
## 89        pid  105940   paq_g_dif  0.0032372996  0.0032372996 0.0000000
## 90        pid  105958   paq_g_dif -0.0058471146 -0.0058471146 0.0000000
## 91        pid  106033   paq_g_dif -0.0076797860 -0.0076797860 0.0000000
## 92        pid  106036   paq_g_dif  0.0106717828  0.0106717828 0.0000000
## 93        pid  106057   paq_g_dif  0.0038074405  0.0038074405 0.0000000
## 94        pid  106063   paq_g_dif  0.0018210250  0.0018210250 0.0000000
## 95        pid  106108   paq_g_dif -0.0010689732 -0.0010689732 0.0000000
## 96        pid  106123   paq_g_dif  0.0042483960  0.0042483960 0.0000000
## 97        pid  106282   paq_g_dif  0.0122114151  0.0122114151 0.0000000
## 98        pid  106369   paq_g_dif  0.0073832073  0.0073832073 0.0000000
## 99        pid  106438   paq_g_dif -0.0038619425 -0.0038619425 0.0000000
## 100       pid  106519   paq_g_dif  0.0002506223  0.0002506223 0.0000000
plotREsim(REsim(model1_fit))

Random intercept model

model2_fit = lmer(difc ~ paq_g_dif + (1 | pid),
                 data=daily_clean)
summary(model2_fit)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: difc ~ paq_g_dif + (1 | pid)
##    Data: daily_clean
## 
## REML criterion at convergence: 3297.8
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -2.4331 -0.6123 -0.1970  0.5547  3.7243 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  pid      (Intercept) 0.9903   0.9951  
##  Residual             2.1023   1.4499  
## Number of obs: 888, groups:  pid, 50
## 
## Fixed effects:
##             Estimate Std. Error       df t value Pr(>|t|)    
## (Intercept) -1.46690    0.42897 48.26271   -3.42 0.001284 ** 
## paq_g_dif    0.06050    0.01667 48.04836    3.63 0.000687 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##           (Intr)
## paq_g_dif -0.938
##    groupFctr groupID        term        mean      median        sd
## 1        pid   77131 (Intercept) -0.97943992 -0.97436008 0.3803142
## 2        pid   89353 (Intercept)  0.95997860  0.98951735 0.3959864
## 3        pid   94714 (Intercept) -0.93998008 -0.92398024 0.3999010
## 4        pid   98533 (Intercept) -1.33104378 -1.34725669 0.2935873
## 5        pid   99391 (Intercept)  0.20649282  0.17489845 0.3463002
## 6        pid  100222 (Intercept)  1.22733464  1.22378118 0.3359804
## 7        pid  101662 (Intercept) -0.28859112 -0.29822616 0.3420691
## 8        pid  101788 (Intercept)  1.25291128  1.24792030 0.3778740
## 9        pid  103156 (Intercept) -0.87317652 -0.87044434 0.3866888
## 10       pid  103711 (Intercept)  0.08595970  0.11180313 0.4176200
## 11       pid  104128 (Intercept)  0.24275340  0.24139058 0.3572522
## 12       pid  104770 (Intercept)  0.49595420  0.52668729 0.3799179
## 13       pid  104836 (Intercept)  0.38650095  0.35946852 0.3566772
## 14       pid  105151 (Intercept) -0.97647349 -0.98382538 0.4036077
## 15       pid  105163 (Intercept)  0.11660212  0.11066371 0.3332836
## 16       pid  105172 (Intercept) -1.51442021 -1.49613731 0.3505864
## 17       pid  105196 (Intercept)  0.07039156  0.07299063 0.3997944
## 18       pid  105232 (Intercept)  0.23831704  0.22894961 0.3731939
## 19       pid  105253 (Intercept)  0.05768113  0.04386741 0.3870567
## 20       pid  105268 (Intercept) -1.04796466 -1.06171200 0.4474064
## 21       pid  105334 (Intercept) -1.07079260 -1.06502300 0.3582869
## 22       pid  105376 (Intercept) -1.26311239 -1.27727834 0.3249504
## 23       pid  105427 (Intercept)  0.49704964  0.47384304 0.3741975
## 24       pid  105454 (Intercept) -0.67438868 -0.70326735 0.3846623
## 25       pid  105457 (Intercept)  1.08528355  1.10185179 0.3640322
## 26       pid  105463 (Intercept)  1.52068818  1.51211268 0.3350433
## 27       pid  105466 (Intercept)  1.31792741  1.29866757 0.4400124
## 28       pid  105478 (Intercept) -0.93785215 -0.93608303 0.3288600
## 29       pid  105499 (Intercept) -1.49448585 -1.45883206 0.3917556
## 30       pid  105538 (Intercept)  0.43435930  0.42092937 0.3967392
## 31       pid  105562 (Intercept) -0.73797908 -0.71581838 0.4177120
## 32       pid  105616 (Intercept)  0.24001560  0.24259743 0.3562145
## 33       pid  105670 (Intercept) -0.77905146 -0.77018723 0.3943447
## 34       pid  105679 (Intercept) -0.21289406 -0.20950859 0.3494223
## 35       pid  105748 (Intercept)  0.70840137  0.74246699 0.3621841
## 36       pid  105796 (Intercept) -1.23283459 -1.21603993 0.3565957
## 37       pid  105904 (Intercept)  0.55442954  0.55891967 0.3550909
## 38       pid  105937 (Intercept)  1.23261298  1.23459361 0.3767109
## 39       pid  105940 (Intercept)  0.51491202  0.53216396 0.3976102
## 40       pid  105958 (Intercept) -0.98227316 -0.97677687 0.4098495
## 41       pid  106033 (Intercept) -1.21980900 -1.19178932 0.3201359
## 42       pid  106036 (Intercept)  1.70419340  1.72015862 0.3767140
## 43       pid  106057 (Intercept)  0.62882609  0.62792047 0.3307094
## 44       pid  106063 (Intercept)  0.32217452  0.30617923 0.3421897
## 45       pid  106108 (Intercept) -0.17294648 -0.17645118 0.3340275
## 46       pid  106123 (Intercept)  0.73876342  0.70821159 0.4253281
## 47       pid  106282 (Intercept)  1.92924795  1.92207887 0.4068192
## 48       pid  106369 (Intercept)  1.15747835  1.17458749 0.3303119
## 49       pid  106438 (Intercept) -0.53613535 -0.55951650 0.4199189
## 50       pid  106519 (Intercept)  0.09853801  0.08974452 0.4064069

Run function on ddf