Trails B Regression Models

Trails B 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: TrailsBtestSec ~ (Age + IPVstatus + Sex + Race)^4 + (Age | HNDid) +      (1 | subclass) 
##    Data: IPVandCognitionDataSet2 
##      AIC      BIC   logLik deviance 
##   1593.3   1652.8   -775.6   1551.3 
## Random effects:
##  Groups   Name        Std.Dev. Corr
##  HNDid    (Intercept) 1.38e+02     
##           Age         5.75e+00 1.00
##  subclass (Intercept) 4.47e-04     
##  Residual             8.07e+01     
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## Fixed Effects:
##                     (Intercept)                              Age  
##                           58.88                            -1.10  
##                      IPVstatus1                           SexMen  
##                           12.33                             7.09  
##                       RaceAfrAm                   Age:IPVstatus1  
##                          143.98                             1.71  
##                      Age:SexMen                    Age:RaceAfrAm  
##                            2.19                             3.64  
##               IPVstatus1:SexMen             IPVstatus1:RaceAfrAm  
##                          265.76                          -129.99  
##                SexMen:RaceAfrAm            Age:IPVstatus1:SexMen  
##                          -33.56                            15.20  
##        Age:IPVstatus1:RaceAfrAm             Age:SexMen:RaceAfrAm  
##                           -2.13                             3.66  
##     IPVstatus1:SexMen:RaceAfrAm  Age:IPVstatus1:SexMen:RaceAfrAm  
##                          -54.47                           -30.19
## 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)   0.16      1        1  0.6926
## (1 | HNDid)     22.90      1     kept       0
## 
## Fixed effects:
##                         Sum Sq Mean Sq NumDF  DenDF F.value elim.num
## Age:IPVstatus:Sex:Race 19558.4 19558.4     1 105.41  2.4345        1
## Age:IPVstatus:Sex        195.7   195.7     1 107.34  0.0004        2
## IPVstatus:Sex:Race      3775.9  3775.9     1  50.71  0.4286        3
## Age:Sex:Race            4500.9  4500.9     1 112.16  0.5128        4
## Sex:Race                 326.4   326.4     1  53.76  0.0025        5
## Age:Sex                 8788.2  8788.2     1 112.86  1.1693        6
## Age:IPVstatus:Race     28895.6 28895.6     1 112.79  3.1126        7
## Age:Race                4960.6  4960.6     1 116.65  0.0799        8
## Age:IPVstatus           2915.2  2915.2     1 114.64  0.1289        9
## IPVstatus:Race          5422.8  5422.8     1  55.55  0.7921       10
## Age                    31578.2 31578.2     1 117.78  3.1626       11
## IPVstatus              11700.0 11700.0     1  58.00  2.3081     kept
## Sex                    16971.7 16971.7     1  58.00  7.0216     kept
## Race                   43011.2 43011.2     1  58.00  4.3014     kept
## IPVstatus:Sex          86778.8 86778.8     1  58.00 10.2288     kept
##                        Pr(>F)
## Age:IPVstatus:Sex:Race 0.1217
## Age:IPVstatus:Sex      0.9848
## IPVstatus:Sex:Race     0.5156
## Age:Sex:Race           0.4754
## Sex:Race               0.9599
## Age:Sex                0.2818
## Age:IPVstatus:Race     0.0804
## Age:Race               0.7779
## Age:IPVstatus          0.7203
## IPVstatus:Race         0.3773
## Age                    0.0779
## IPVstatus              0.1341
## Sex                    0.0104
## Race                   0.0425
## IPVstatus:Sex          0.0022
## 
## Least squares means:
##                        IPVstatus Sex Race Estimate Standard Error DF
## IPVstatus  0                   1  NA   NA    113.7           21.3 58
## IPVstatus  1                   2  NA   NA    167.9           29.4 58
## Sex  Women                    NA   2   NA     93.6           25.2 58
## Sex  Men                      NA   1   NA    188.0           26.2 58
## Race  White                   NA  NA    2    104.7           28.5 58
## Race  AfrAm                   NA  NA    1    176.9           21.8 58
## IPVstatus:Sex  0 Women         1   2   NA    123.8           32.1 58
## IPVstatus:Sex  1 Women         2   2   NA     63.3           38.2 58
## IPVstatus:Sex  0 Men           1   1   NA    103.6           27.1 58
## IPVstatus:Sex  1 Men           2   1   NA    272.5           44.4 58
##                        t-value Lower CI Upper CI p-value
## IPVstatus  0              5.35     71.2      156  <2e-16
## IPVstatus  1              5.71    109.0      227  <2e-16
## Sex  Women                3.72     43.2      144  0.0005
## Sex  Men                  7.19    135.7      240  <2e-16
## Race  White               3.67     47.6      162  0.0005
## Race  AfrAm               8.11    133.3      221  <2e-16
## IPVstatus:Sex  0 Women    3.86     59.6      188  0.0003
## IPVstatus:Sex  1 Women    1.66    -13.2      140  0.1030
## IPVstatus:Sex  0 Men      3.82     49.4      158  0.0003
## IPVstatus:Sex  1 Men      6.14    183.6      361  <2e-16
## 
##  Differences of LSMEANS:
##                                 Estimate Standard Error     DF t-value
## IPVstatus 0-1                      -54.2           35.7   58.0   -1.52
## Sex Women-Men                      -94.5           35.7   58.0   -2.65
## Race White-AfrAm                   -72.2           34.8   58.0   -2.07
## IPVstatus:Sex  0 Women- 1 Women     60.5           49.4   58.0    1.22
## IPVstatus:Sex  0 Women- 0 Men       20.2           41.4   58.0    0.49
## IPVstatus:Sex  0 Women- 1 Men     -148.7           53.9   58.0   -2.76
## IPVstatus:Sex  1 Women- 0 Men      -40.3           46.7   58.0   -0.86
## IPVstatus:Sex  1 Women- 1 Men     -209.1           58.3   58.0   -3.59
## IPVstatus:Sex  0 Men- 1 Men       -168.8           51.7   58.0   -3.27
##                                 Lower CI Upper CI p-value
## IPVstatus 0-1                     -125.5    17.20   0.134
## Sex Women-Men                     -165.9   -23.11   0.010
## Race White-AfrAm                  -142.0    -2.52   0.043
## IPVstatus:Sex  0 Women- 1 Women    -38.4   159.44   0.226
## IPVstatus:Sex  0 Women- 0 Men      -62.8   103.13   0.628
## IPVstatus:Sex  0 Women- 1 Men     -256.6   -40.72   0.008
## IPVstatus:Sex  1 Women- 0 Men     -133.7    53.10   0.391
## IPVstatus:Sex  1 Women- 1 Men     -325.8   -92.49   7e-04
## IPVstatus:Sex  0 Men- 1 Men       -272.3   -65.40   0.002
## 
## Final model:
## lme4::lmer(formula = TrailsBtestSec ~ IPVstatus + Sex + Race + 
##     (1 | HNDid) + IPVstatus:Sex, data = IPVandCognitionDataSet2, 
##     REML = reml, contrasts = l)

Re-run the suggested final Model 1

(mm1 = lmer(TrailsBtestSec ~ IPVstatus + Sex + Race + (1 | HNDid) + IPVstatus:Sex, 
    data = IPVandCognitionDataSet2, REML = F))
## Linear mixed model fit by maximum likelihood ['merModLmerTest']
## Formula: TrailsBtestSec ~ IPVstatus + Sex + Race + (1 | HNDid) + IPVstatus:Sex 
##    Data: IPVandCognitionDataSet2 
##      AIC      BIC   logLik deviance 
##   1587.4   1607.2   -786.7   1573.4 
## Random effects:
##  Groups   Name        Std.Dev.
##  HNDid    (Intercept) 110.9   
##  Residual              86.6   
## Number of obs: 126, groups: HNDid, 63
## Fixed Effects:
##       (Intercept)         IPVstatus1             SexMen  
##              87.7              -60.5              -20.2  
##         RaceAfrAm  IPVstatus1:SexMen  
##              72.2              229.3

summary(mm1)
## Linear mixed model fit by maximum likelihood ['merModLmerTest']
## Formula: TrailsBtestSec ~ IPVstatus + Sex + Race + (1 | HNDid) + IPVstatus:Sex 
##    Data: IPVandCognitionDataSet2 
## 
##      AIC      BIC   logLik deviance 
##   1587.4   1607.2   -786.7   1573.4 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  HNDid    (Intercept) 12290    110.9   
##  Residual              7500     86.6   
## Number of obs: 126, groups: HNDid, 63
## 
## Fixed effects:
##                   Estimate Std. Error    df t value Pr(>|t|)
## (Intercept)           87.7       38.4  63.0    2.28   0.0257
## IPVstatus1           -60.5       47.4  63.0   -1.28   0.2068
## SexMen               -20.2       39.8  63.0   -0.51   0.6135
## RaceAfrAm             72.2       33.4  63.0    2.16   0.0345
## IPVstatus1:SexMen    229.3       68.8  63.0    3.33   0.0014
## 
## Correlation of Fixed Effects:
##             (Intr) IPVst1 SexMen RcAfrA
## IPVstatus1  -0.551                     
## SexMen      -0.657  0.484              
## RaceAfrAm   -0.629  0.098  0.117       
## IPVstts1:SM  0.405 -0.693 -0.583 -0.108

plot(st)

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plot(mm1)

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Trails B Regression Model 2 (with CES)

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

library(lme4)
library(lmerTest)

(mm2 = lmer(TrailsBtestSec ~ (Age + IPVstatus + Sex + Race + CES1)^5 + (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: TrailsBtestSec ~ (Age + IPVstatus + Sex + Race + CES1)^5 + (Age |      HNDid) + (1 | subclass) 
##    Data: IPVandCognitionDataSet2 
##      AIC      BIC   logLik deviance 
##   1604.5   1709.4   -765.2   1530.5 
## Random effects:
##  Groups   Name        Std.Dev. Corr
##  HNDid    (Intercept) 1.52e+02     
##           Age         8.02e+00 1.00
##  subclass (Intercept) 4.13e-04     
##  Residual             7.16e+01     
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## Fixed Effects:
##                           (Intercept)  
##                                 57.39  
##                                   Age  
##                                 -2.48  
##                            IPVstatus1  
##                                 48.61  
##                                SexMen  
##                                  7.22  
##                             RaceAfrAm  
##                                253.83  
##                                 CES11  
##                                  6.61  
##                        Age:IPVstatus1  
##                                  6.82  
##                            Age:SexMen  
##                                  4.05  
##                         Age:RaceAfrAm  
##                                  9.49  
##                             Age:CES11  
##                                  3.15  
##                     IPVstatus1:SexMen  
##                                313.79  
##                  IPVstatus1:RaceAfrAm  
##                               -282.39  
##                      IPVstatus1:CES11  
##                                -51.03  
##                      SexMen:RaceAfrAm  
##                               -162.08  
##                          SexMen:CES11  
##                                 -8.85  
##                       RaceAfrAm:CES11  
##                               -284.96  
##                 Age:IPVstatus1:SexMen  
##                                 12.80  
##              Age:IPVstatus1:RaceAfrAm  
##                                -12.74  
##                  Age:IPVstatus1:CES11  
##                                 -7.96  
##                  Age:SexMen:RaceAfrAm  
##                                 -6.08  
##                      Age:SexMen:CES11  
##                                 -5.41  
##                   Age:RaceAfrAm:CES11  
##                                -16.46  
##           IPVstatus1:SexMen:RaceAfrAm  
##                                276.63  
##               IPVstatus1:SexMen:CES11  
##                               -244.75  
##            IPVstatus1:RaceAfrAm:CES11  
##                                340.28  
##                SexMen:RaceAfrAm:CES11  
##                                353.26  
##       Age:IPVstatus1:SexMen:RaceAfrAm  
##                                -11.85  
##           Age:IPVstatus1:SexMen:CES11  
##                                 -3.96  
##        Age:IPVstatus1:RaceAfrAm:CES11  
##                                 24.19  
##            Age:SexMen:RaceAfrAm:CES11  
##                                 29.54  
##     IPVstatus1:SexMen:RaceAfrAm:CES11  
##                               -308.77  
## Age:IPVstatus1:SexMen:RaceAfrAm:CES11  
##                                -12.12

(st = step(mm2))
## 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)   1.24      1        1  0.2651
## (1 | HNDid)     22.47      1     kept       0
## 
## Fixed effects:
##                               Sum Sq  Mean Sq NumDF  DenDF F.value
## Age:IPVstatus:Sex:Race:CES1    63.14    63.14     1  57.95  0.0079
## IPVstatus:Sex:Race:CES1       347.43   347.43     1  68.04  0.0432
## Age:IPVstatus:Sex:CES1        818.83   818.83     1  78.81  0.0514
## Age:IPVstatus:Race:CES1       439.44   439.44     1  69.70  0.2747
## IPVstatus:Race:CES1            13.43    13.43     1  46.96  0.0205
## Age:IPVstatus:CES1            149.86   149.86     1  98.07  0.1060
## Age:Sex:Race:CES1            4852.41  4852.41     1  89.36  0.5278
## Sex:Race:CES1                 644.29   644.29     1  43.86  0.0169
## Age:Race:CES1                6738.35  6738.35     1  94.36  0.1479
## Race:CES1                    3410.84  3410.84     1  43.57  0.1866
## Age:Sex:CES1                14181.27 14181.27     1 101.42  0.8507
## Age:CES1                     1511.08  1511.08     1  99.63  0.0191
## Age:IPVstatus:Sex:Race       5518.30  5518.30     1 101.66  1.0752
## Age:IPVstatus:Sex             817.54   817.54     1 103.83  0.0783
## Age:Sex:Race                 3842.65  3842.65     1 105.92  0.1341
## Age:IPVstatus:Race          13342.77 13342.77     1 104.31  1.7518
## Age:Race                     1681.41  1681.41     1 108.65  0.0525
## Age:IPVstatus                3800.90  3800.90     1 107.29  0.7436
## Age:Sex                      7563.29  7563.29     1 108.50  2.6278
## IPVstatus:Sex:Race           7153.81  7153.81     1  51.02  2.4372
## IPVstatus:Race               5383.60  5383.60     1  50.55  0.0455
## Sex:Race                      283.52   283.52     1  51.79  0.1028
## Age                         31568.72 31568.72     1 113.72  3.0769
## IPVstatus                    9776.43  9776.43     1  54.00  4.2566
## Sex                         13945.77 13945.77     1  54.00 10.7327
## Race                        35248.46 35248.46     1  54.00  7.1110
## CES1                         5814.43  5814.43     1  54.00  2.9137
## IPVstatus:Sex               75603.35 75603.35     1  54.00 12.2851
## IPVstatus:CES1               6267.46  6267.46     1  54.00  0.6724
## Sex:CES1                      860.00   860.00     1  54.00  1.3924
## IPVstatus:Sex:CES1          28790.92 28790.92     1  54.00  4.8698
##                             elim.num Pr(>F)
## Age:IPVstatus:Sex:Race:CES1        1 0.9293
## IPVstatus:Sex:Race:CES1            2 0.8360
## Age:IPVstatus:Sex:CES1             3 0.8213
## Age:IPVstatus:Race:CES1            4 0.6018
## IPVstatus:Race:CES1                5 0.8868
## Age:IPVstatus:CES1                 6 0.7454
## Age:Sex:Race:CES1                  7 0.4694
## Sex:Race:CES1                      8 0.8973
## Age:Race:CES1                      9 0.7014
## Race:CES1                         10 0.6679
## Age:Sex:CES1                      11 0.3585
## Age:CES1                          12 0.8904
## Age:IPVstatus:Sex:Race            13 0.3022
## Age:IPVstatus:Sex                 14 0.7801
## Age:Sex:Race                      15 0.7149
## Age:IPVstatus:Race                16 0.1885
## Age:Race                          17 0.8192
## Age:IPVstatus                     18 0.3904
## Age:Sex                           19 0.1079
## IPVstatus:Sex:Race                20 0.1247
## IPVstatus:Race                    21 0.8319
## Sex:Race                          22 0.7498
## Age                               23 0.0821
## IPVstatus                       kept 0.0439
## Sex                             kept 0.0018
## Race                            kept 0.0101
## CES1                            kept 0.0936
## IPVstatus:Sex                   kept 0.0009
## IPVstatus:CES1                  kept 0.4158
## Sex:CES1                        kept 0.2432
## IPVstatus:Sex:CES1              kept 0.0316
## 
## Least squares means:
##                               IPVstatus Sex Race CES1 Estimate
## IPVstatus  0                          1  NA   NA   NA    106.9
## IPVstatus  1                          2  NA   NA   NA    181.8
## Sex  Women                           NA   2   NA   NA     84.8
## Sex  Men                             NA   1   NA   NA    204.0
## Race  White                          NA  NA    2   NA     97.1
## Race  AfrAm                          NA  NA    1   NA    191.6
## CES1  0                              NA  NA   NA    1    175.4
## CES1  1                              NA  NA   NA    2    113.3
## IPVstatus:Sex  0 Women                1   2   NA   NA    110.9
## IPVstatus:Sex  1 Women                2   2   NA   NA     58.6
## IPVstatus:Sex  0 Men                  1   1   NA   NA    102.9
## IPVstatus:Sex  1 Men                  2   1   NA   NA    305.0
## IPVstatus:CES1  0 0                   1  NA   NA    1    123.1
## IPVstatus:CES1  1 0                   2  NA   NA    1    227.8
## IPVstatus:CES1  0 1                   1  NA   NA    2     90.7
## IPVstatus:CES1  1 1                   2  NA   NA    2    135.9
## Sex:CES1  Women 0                    NA   2   NA    1     94.2
## Sex:CES1  Men 0                      NA   1   NA    1    256.7
## Sex:CES1  Women 1                    NA   2   NA    2     75.4
## Sex:CES1  Men 1                      NA   1   NA    2    151.2
## IPVstatus:Sex:CES1  0 Women 0         1   2   NA    1    146.7
## IPVstatus:Sex:CES1  1 Women 0         2   2   NA    1     41.6
## IPVstatus:Sex:CES1  0 Men 0           1   1   NA    1     99.6
## IPVstatus:Sex:CES1  1 Men 0           2   1   NA    1    413.9
## IPVstatus:Sex:CES1  0 Women 1         1   2   NA    2     75.2
## IPVstatus:Sex:CES1  1 Women 1         2   2   NA    2     75.6
## IPVstatus:Sex:CES1  0 Men 1           1   1   NA    2    106.2
## IPVstatus:Sex:CES1  1 Men 1           2   1   NA    2    196.2
##                               Standard Error DF t-value Lower CI Upper CI
## IPVstatus  0                            21.8 54    4.91    63.25      151
## IPVstatus  1                            29.8 54    6.10   122.10      242
## Sex  Women                              25.3 54    3.35    34.06      135
## Sex  Men                                26.9 54    7.58   150.02      258
## Race  White                             28.9 54    3.36    39.21      155
## Race  AfrAm                             22.3 54    8.60   146.97      236
## CES1  0                                 26.9 54    6.53   121.58      229
## CES1  1                                 25.4 54    4.47    62.44      164
## IPVstatus:Sex  0 Women                  32.4 54    3.43    46.02      176
## IPVstatus:Sex  1 Women                  38.0 54    1.54   -17.47      135
## IPVstatus:Sex  0 Men                    28.1 54    3.66    46.52      159
## IPVstatus:Sex  1 Men                    45.7 54    6.68   213.47      397
## IPVstatus:CES1  0 0                     25.5 54    4.83    72.01      174
## IPVstatus:CES1  1 0                     47.1 54    4.83   133.29      322
## IPVstatus:CES1  0 1                     34.4 54    2.63    21.64      160
## IPVstatus:CES1  1 1                     36.2 54    3.76    63.39      208
## Sex:CES1  Women 0                       35.6 54    2.64    22.75      166
## Sex:CES1  Men 0                         40.6 54    6.32   175.35      338
## Sex:CES1  Women 1                       34.8 54    2.17     5.58      145
## Sex:CES1  Men 1                         35.7 54    4.23    79.51      223
## IPVstatus:Sex:CES1  0 Women 0           39.2 54    3.74    68.13      225
## IPVstatus:Sex:CES1  1 Women 0           58.6 54    0.71   -75.88      159
## IPVstatus:Sex:CES1  0 Men 0             32.3 54    3.08    34.80      164
## IPVstatus:Sex:CES1  1 Men 0             74.7 54    5.54   264.23      564
## IPVstatus:Sex:CES1  0 Women 1           50.3 54    1.49   -25.75      176
## IPVstatus:Sex:CES1  1 Women 1           48.8 54    1.55   -22.21      173
## IPVstatus:Sex:CES1  0 Men 1             45.8 54    2.32    14.38      198
## IPVstatus:Sex:CES1  1 Men 1             53.9 54    3.64    88.03      304
##                               p-value
## IPVstatus  0                   <2e-16
## IPVstatus  1                   <2e-16
## Sex  Women                     0.0015
## Sex  Men                       <2e-16
## Race  White                    0.0014
## Race  AfrAm                    <2e-16
## CES1  0                        <2e-16
## CES1  1                        <2e-16
## IPVstatus:Sex  0 Women         0.0012
## IPVstatus:Sex  1 Women         0.1283
## IPVstatus:Sex  0 Men           0.0006
## IPVstatus:Sex  1 Men           <2e-16
## IPVstatus:CES1  0 0            <2e-16
## IPVstatus:CES1  1 0            <2e-16
## IPVstatus:CES1  0 1            0.0110
## IPVstatus:CES1  1 1            0.0004
## Sex:CES1  Women 0              0.0107
## Sex:CES1  Men 0                <2e-16
## Sex:CES1  Women 1              0.0348
## Sex:CES1  Men 1                0.0001
## IPVstatus:Sex:CES1  0 Women 0  0.0004
## IPVstatus:Sex:CES1  1 Women 0  0.4805
## IPVstatus:Sex:CES1  0 Men 0    0.0032
## IPVstatus:Sex:CES1  1 Men 0    <2e-16
## IPVstatus:Sex:CES1  0 Women 1  0.1412
## IPVstatus:Sex:CES1  1 Women 1  0.1271
## IPVstatus:Sex:CES1  0 Men 1    0.0242
## IPVstatus:Sex:CES1  1 Men 1    0.0006
## 
##  Differences of LSMEANS:
##                                 Estimate Standard Error     DF t-value
## IPVstatus 0-1                      -74.9          36.32   54.0   -2.06
## Sex Women-Men                     -119.2          36.38   54.0   -3.28
## Race White-AfrAm                   -94.5          35.44   54.0   -2.67
## CES1 0-1                            62.2          36.42   54.0    1.71
## IPVstatus:Sex  0 Women- 1 Women     52.3          49.17   54.0    1.06
## IPVstatus:Sex  0 Women- 0 Men        8.0          42.18   54.0    0.19
## IPVstatus:Sex  0 Women- 1 Men     -194.1          55.52   54.0   -3.50
## IPVstatus:Sex  1 Women- 0 Men      -44.2          46.95   54.0   -0.94
## IPVstatus:Sex  1 Women- 1 Men     -246.4          59.18   54.0   -4.16
## IPVstatus:Sex  0 Men- 1 Men       -202.2          53.44   54.0   -3.78
## IPVstatus:CES1  0 0- 1 0          -104.7          53.43   54.0   -1.96
## IPVstatus:CES1  0 0- 0 1            32.4          42.13   54.0    0.77
## IPVstatus:CES1  0 0- 1 1           -12.8          43.87   54.0   -0.29
## IPVstatus:CES1  1 0- 0 1           137.1          58.02   54.0    2.36
## IPVstatus:CES1  1 0- 1 1            91.9          59.22   54.0    1.55
## IPVstatus:CES1  0 1- 1 1           -45.2          49.13   54.0   -0.92
## Sex:CES1  Women 0- Men 0          -162.6          54.27   54.0   -3.00
## Sex:CES1  Women 0- Women 1          18.8          49.02   54.0    0.38
## Sex:CES1  Women 0- Men 1           -57.0          49.20   54.0   -1.16
## Sex:CES1  Men 0- Women 1           181.3          53.66   54.0    3.38
## Sex:CES1  Men 0- Men 1             105.6          54.36   54.0    1.94
## Sex:CES1  Women 1- Men 1           -75.8          49.07   54.0   -1.54
##                                 Lower CI Upper CI p-value
## IPVstatus 0-1                    -147.76    -2.12   0.044
## Sex Women-Men                    -192.12   -46.25   0.002
## Race White-AfrAm                 -165.57   -23.45   0.010
## CES1 0-1                          -10.85   135.18   0.094
## IPVstatus:Sex  0 Women- 1 Women   -46.29   150.87   0.292
## IPVstatus:Sex  0 Women- 0 Men     -76.53    92.62   0.850
## IPVstatus:Sex  0 Women- 1 Men    -305.43   -82.82   0.001
## IPVstatus:Sex  1 Women- 0 Men    -138.37    49.87   0.350
## IPVstatus:Sex  1 Women- 1 Men    -365.07  -127.76   1e-04
## IPVstatus:Sex  0 Men- 1 Men      -309.32   -95.02   4e-04
## IPVstatus:CES1  0 0- 1 0         -211.79     2.44   0.055
## IPVstatus:CES1  0 0- 0 1          -52.05   116.90   0.445
## IPVstatus:CES1  0 0- 1 1         -100.73    75.18   0.772
## IPVstatus:CES1  1 0- 0 1           20.77   253.43   0.022
## IPVstatus:CES1  1 0- 1 1          -26.83   210.62   0.127
## IPVstatus:CES1  0 1- 1 1         -143.71    53.30   0.362
## Sex:CES1  Women 0- Men 0         -271.38   -53.79   0.004
## Sex:CES1  Women 0- Women 1        -79.51   117.03   0.703
## Sex:CES1  Women 0- Men 1         -155.66    41.61   0.252
## Sex:CES1  Men 0- Women 1           73.77   288.93   0.001
## Sex:CES1  Men 0- Men 1             -3.43   214.56   0.057
## Sex:CES1  Women 1- Men 1         -174.17    22.60   0.128
## 
## Final model:
## lme4::lmer(formula = TrailsBtestSec ~ IPVstatus + Sex + Race + 
##     CES1 + (1 | HNDid) + IPVstatus:Sex + IPVstatus:CES1 + Sex:CES1 + 
##     IPVstatus:Sex:CES1, data = IPVandCognitionDataSet2, REML = reml, 
##     contrasts = l)

Re-run the suggested final Model 2

(mm2 = lmer(TrailsBtestSec ~ IPVstatus + Sex + Race + CES1 + (1 | HNDid) + IPVstatus:Sex + 
    IPVstatus:CES1 + Sex:CES1 + IPVstatus:Sex:CES1, data = IPVandCognitionDataSet2, 
    REML = F))
## Linear mixed model fit by maximum likelihood ['merModLmerTest']
## Formula: TrailsBtestSec ~ IPVstatus + Sex + Race + CES1 + (1 | HNDid) +      IPVstatus:Sex + IPVstatus:CES1 + Sex:CES1 + IPVstatus:Sex:CES1 
##    Data: IPVandCognitionDataSet2 
##      AIC      BIC   logLik deviance 
##     1588     1619     -783     1566 
## Random effects:
##  Groups   Name        Std.Dev.
##  HNDid    (Intercept) 102.4   
##  Residual              86.6   
## Number of obs: 126, groups: HNDid, 63
## Fixed Effects:
##             (Intercept)               IPVstatus1                   SexMen  
##                    99.4                   -105.0                    -47.1  
##               RaceAfrAm                    CES11        IPVstatus1:SexMen  
##                    94.5                    -71.5                    419.4  
##        IPVstatus1:CES11             SexMen:CES11  IPVstatus1:SexMen:CES11  
##                   105.4                     78.1                   -329.8

summary(mm2)
## Linear mixed model fit by maximum likelihood ['merModLmerTest']
## Formula: TrailsBtestSec ~ IPVstatus + Sex + Race + CES1 + (1 | HNDid) +      IPVstatus:Sex + IPVstatus:CES1 + Sex:CES1 + IPVstatus:Sex:CES1 
##    Data: IPVandCognitionDataSet2 
## 
##      AIC      BIC   logLik deviance 
##     1588     1619     -783     1566 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  HNDid    (Intercept) 10494    102.4   
##  Residual              7500     86.6   
## Number of obs: 126, groups: HNDid, 63
## 
## Fixed effects:
##                         Estimate Std. Error     df t value Pr(>|t|)
## (Intercept)                 99.4       41.6   63.0    2.39   0.0199
## IPVstatus1                -105.0       64.6   63.0   -1.63   0.1090
## SexMen                     -47.1       46.8   63.0   -1.01   0.3182
## RaceAfrAm                   94.5       32.8   63.0    2.88   0.0054
## CES11                      -71.5       58.2   63.0   -1.23   0.2236
## IPVstatus1:SexMen          419.4       99.7   63.0    4.20  8.4e-05
## IPVstatus1:CES11           105.4       92.7   63.0    1.14   0.2596
## SexMen:CES11                78.1       77.6   63.0    1.01   0.3182
## IPVstatus1:SexMen:CES11   -329.8      138.4   63.0   -2.38   0.0202
## 
## Correlation of Fixed Effects:
##             (Intr) IPVst1 SexMen RcAfrA CES11  IPVs1:SM IPV1:C SM:CES
## IPVstatus1  -0.440                                                   
## SexMen      -0.691  0.424                                            
## RaceAfrAm   -0.502 -0.083  0.052                                     
## CES11       -0.473  0.355  0.469 -0.125                              
## IPVstts1:SM  0.247 -0.654 -0.461  0.129 -0.239                       
## IPVs1:CES11  0.231 -0.710 -0.288  0.210 -0.644  0.475                
## SexMn:CES11  0.367 -0.264 -0.598  0.067 -0.746  0.291    0.477       
## IPV1:SM:CES -0.102  0.484  0.325 -0.244  0.444 -0.740   -0.692 -0.575

plot(st)

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plot(mm2)

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