Trails B-A Regression Models

Trails B-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: IPVandCognitionDataSet2$"TrailsB-A" ~ (Age + IPVstatus + Sex +      Race)^4 + (Age | HNDid) + (1 | subclass) 
##    Data: IPVandCognitionDataSet2 
##      AIC      BIC   logLik deviance 
##   1587.0   1646.5   -772.5   1545.0 
## Random effects:
##  Groups   Name        Std.Dev. Corr
##  HNDid    (Intercept) 1.36e+02     
##           Age         5.65e+00 1.00
##  subclass (Intercept) 2.89e-03     
##  Residual             7.83e+01     
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## Fixed Effects:
##                     (Intercept)                              Age  
##                           31.25                            -1.21  
##                      IPVstatus1                           SexMen  
##                           11.83                             9.49  
##                       RaceAfrAm                   Age:IPVstatus1  
##                          130.31                             1.69  
##                      Age:SexMen                    Age:RaceAfrAm  
##                            2.31                             2.95  
##               IPVstatus1:SexMen             IPVstatus1:RaceAfrAm  
##                          251.18                          -135.67  
##                SexMen:RaceAfrAm            Age:IPVstatus1:SexMen  
##                          -30.80                            14.53  
##        Age:IPVstatus1:RaceAfrAm             Age:SexMen:RaceAfrAm  
##                           -3.14                             3.67  
##     IPVstatus1:SexMen:RaceAfrAm  Age:IPVstatus1:SexMen:RaceAfrAm  
##                          -40.40                           -28.58
## 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)   0.05      1        1  0.8249
## (1 | HNDid)     22.85      1     kept       0
## 
## Fixed effects:
##                         Sum Sq Mean Sq NumDF  DenDF F.value elim.num
## Age:IPVstatus:Sex:Race 18083.3 18083.3     1 105.45  2.3725        1
## Age:IPVstatus:Sex        137.0   137.0     1 107.43  0.0017        2
## Age:Sex:Race            4236.6  4236.6     1 111.20  0.4524        3
## IPVstatus:Sex:Race      3899.5  3899.5     1  50.88  0.5066        4
## Sex:Race                 179.9   179.9     1  53.60  0.0000        5
## Age:Sex                 9915.8  9915.8     1 112.99  1.3441        6
## Age:IPVstatus:Race     29626.6 29626.6     1 113.01  3.3392        7
## Age:IPVstatus           1746.3  1746.3     1 113.57  0.0385        8
## Age:Race                7060.9  7060.9     1 117.61  0.2334        9
## IPVstatus:Race          4731.1  4731.1     1  55.35  0.7611       10
## Age                    20013.6 20013.6     1 118.12  2.1321       11
## Race                   35928.9 35928.9     1  58.00  3.5779       12
## IPVstatus               9966.6  9966.6     1  59.00  1.9029     kept
## Sex                    17661.2 17661.2     1  59.00  6.4676     kept
## IPVstatus:Sex          79169.6 79169.6     1  59.00 10.8175     kept
##                        Pr(>F)
## Age:IPVstatus:Sex:Race 0.1265
## Age:IPVstatus:Sex      0.9669
## Age:Sex:Race           0.5026
## IPVstatus:Sex:Race     0.4799
## Sex:Race               0.9997
## Age:Sex                0.2488
## Age:IPVstatus:Race     0.0703
## Age:IPVstatus          0.8448
## Age:Race               0.6299
## IPVstatus:Race         0.3867
## Age                    0.1469
## Race                   0.0635
## IPVstatus              0.1730
## Sex                    0.0136
## IPVstatus:Sex          0.0017
## 
## Least squares means:
##                        IPVstatus Sex Estimate Standard Error DF t-value
## IPVstatus  0                   1  NA     92.6           20.6 59    4.49
## IPVstatus  1                   2  NA    141.8           29.1 59    4.87
## Sex  Women                    NA   2     71.8           24.6 59    2.92
## Sex  Men                      NA   1    162.6           25.8 59    6.29
## IPVstatus:Sex  0 Women         1   2    105.9           31.2 59    3.40
## IPVstatus:Sex  1 Women         2   2     37.8           38.2 59    0.99
## IPVstatus:Sex  0 Men           1   1     79.3           27.0 59    2.94
## IPVstatus:Sex  1 Men           2   1    245.9           44.1 59    5.58
##                        Lower CI Upper CI p-value
## IPVstatus  0               51.4      134  <2e-16
## IPVstatus  1               83.5      200  <2e-16
## Sex  Women                 22.5      121  0.0050
## Sex  Men                  110.9      214  <2e-16
## IPVstatus:Sex  0 Women     43.6      168  0.0012
## IPVstatus:Sex  1 Women    -38.6      114  0.3266
## IPVstatus:Sex  0 Men       25.3      133  0.0047
## IPVstatus:Sex  1 Men      157.8      334  <2e-16
## 
##  Differences of LSMEANS:
##                                 Estimate Standard Error     DF t-value
## IPVstatus 0-1                      -49.2           35.7   59.0   -1.38
## Sex Women-Men                      -90.8           35.7   59.0   -2.54
## IPVstatus:Sex  0 Women- 1 Women     68.2           49.3   59.0    1.38
## IPVstatus:Sex  0 Women- 0 Men       26.6           41.2   59.0    0.65
## IPVstatus:Sex  0 Women- 1 Men     -140.0           54.0   59.0   -2.59
## IPVstatus:Sex  1 Women- 0 Men      -41.5           46.7   59.0   -0.89
## IPVstatus:Sex  1 Women- 1 Men     -208.2           58.3   59.0   -3.57
## IPVstatus:Sex  0 Men- 1 Men       -166.7           51.7   59.0   -3.23
##                                 Lower CI Upper CI p-value
## IPVstatus 0-1                     -120.7     22.2   0.173
## Sex Women-Men                     -162.2    -19.4   0.014
## IPVstatus:Sex  0 Women- 1 Women    -30.4    166.8   0.172
## IPVstatus:Sex  0 Women- 0 Men      -55.9    109.1   0.521
## IPVstatus:Sex  0 Women- 1 Men     -248.0    -32.0   0.012
## IPVstatus:Sex  1 Women- 0 Men     -135.1     52.0   0.378
## IPVstatus:Sex  1 Women- 1 Men     -324.8    -91.5   7e-04
## IPVstatus:Sex  0 Men- 1 Men       -270.0    -63.3   0.002
## 
## Final model:
## lme4::lmer(formula = IPVandCognitionDataSet2$"TrailsB-A" ~ IPVstatus + 
##     Sex + (1 | HNDid) + IPVstatus:Sex, data = IPVandCognitionDataSet2, 
##     REML = reml, contrasts = l)

Re-run the suggested final Model 1

(mm1 = lmer(IPVandCognitionDataSet2$"TrailsB-A" ~ IPVstatus + Sex + (1 | HNDid) + 
    IPVstatus:Sex, data = IPVandCognitionDataSet2, REML = F))
## Linear mixed model fit by maximum likelihood ['merModLmerTest']
## Formula: IPVandCognitionDataSet2$"TrailsB-A" ~ IPVstatus + Sex + (1 |      HNDid) + IPVstatus:Sex 
##    Data: IPVandCognitionDataSet2 
##      AIC      BIC   logLik deviance 
##   1582.3   1599.3   -785.1   1570.3 
## Random effects:
##  Groups   Name        Std.Dev.
##  HNDid    (Intercept) 113.4   
##  Residual              83.7   
## Number of obs: 126, groups: HNDid, 63
## Fixed Effects:
##       (Intercept)         IPVstatus1             SexMen  
##             105.9              -68.2              -26.6  
## IPVstatus1:SexMen  
##             234.8

summary(mm1)
## Linear mixed model fit by maximum likelihood ['merModLmerTest']
## Formula: IPVandCognitionDataSet2$"TrailsB-A" ~ IPVstatus + Sex + (1 |      HNDid) + IPVstatus:Sex 
##    Data: IPVandCognitionDataSet2 
## 
##      AIC      BIC   logLik deviance 
##   1582.3   1599.3   -785.1   1570.3 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  HNDid    (Intercept) 12868    113.4   
##  Residual              6997     83.7   
## Number of obs: 126, groups: HNDid, 63
## 
## Fixed effects:
##                   Estimate Std. Error    df t value Pr(>|t|)
## (Intercept)          105.9       30.2  63.0    3.51  0.00083
## IPVstatus1           -68.2       47.7  63.0   -1.43  0.15773
## SexMen               -26.6       39.9  63.0   -0.67  0.50692
## IPVstatus1:SexMen    234.8       69.1  63.0    3.40  0.00118
## 
## Correlation of Fixed Effects:
##             (Intr) IPVst1 SexMen
## IPVstatus1  -0.632              
## SexMen      -0.756  0.478       
## IPVstts1:SM  0.436 -0.690 -0.577

plot(st)

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


plot(mm1)

plot of chunk unnamed-chunk-1

Trails B-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(IPVandCognitionDataSet2$"TrailsB-A" ~ (Age + IPVstatus + Sex + Race + 
    CES1)^5 + (Age | HNDid) + (1 | subclass), data = IPVandCognitionDataSet2, 
    REML = F))
## Warning: number of observations <= rank(Z); variance-covariance matrix
## will be unidentifiable
## Linear mixed model fit by maximum likelihood ['merModLmerTest']
## Formula: IPVandCognitionDataSet2$"TrailsB-A" ~ (Age + IPVstatus + Sex +      Race + CES1)^5 + (Age | HNDid) + (1 | subclass) 
##    Data: IPVandCognitionDataSet2 
##      AIC      BIC   logLik deviance 
##   1599.2   1704.2   -762.6   1525.2 
## Random effects:
##  Groups   Name        Std.Dev. Corr
##  HNDid    (Intercept) 1.50e+02     
##           Age         7.79e+00 1.00
##  subclass (Intercept) 1.73e-03     
##  Residual             6.97e+01     
## Number of obs: 126, groups: HNDid, 63; subclass, 21
## Fixed Effects:
##                           (Intercept)  
##                                 31.54  
##                                   Age  
##                                 -1.87  
##                            IPVstatus1  
##                                 29.46  
##                                SexMen  
##                                  9.18  
##                             RaceAfrAm  
##                                239.70  
##                                 CES11  
##                                  5.46  
##                        Age:IPVstatus1  
##                                  4.20  
##                            Age:SexMen  
##                                  3.37  
##                         Age:RaceAfrAm  
##                                  8.13  
##                             Age:CES11  
##                                  1.87  
##                     IPVstatus1:SexMen  
##                                314.97  
##                  IPVstatus1:RaceAfrAm  
##                               -279.15  
##                      IPVstatus1:CES11  
##                                -27.90  
##                      SexMen:RaceAfrAm  
##                               -160.70  
##                          SexMen:CES11  
##                                -12.71  
##                       RaceAfrAm:CES11  
##                               -282.77  
##                 Age:IPVstatus1:SexMen  
##                                 14.76  
##              Age:IPVstatus1:RaceAfrAm  
##                                -11.76  
##                  Age:IPVstatus1:CES11  
##                                 -4.27  
##                  Age:SexMen:RaceAfrAm  
##                                 -5.17  
##                      Age:SexMen:CES11  
##                                 -3.89  
##                   Age:RaceAfrAm:CES11  
##                                -15.07  
##           IPVstatus1:SexMen:RaceAfrAm  
##                                290.00  
##               IPVstatus1:SexMen:CES11  
##                               -260.00  
##            IPVstatus1:RaceAfrAm:CES11  
##                                330.67  
##                SexMen:RaceAfrAm:CES11  
##                                358.45  
##       Age:IPVstatus1:SexMen:RaceAfrAm  
##                                -11.67  
##           Age:IPVstatus1:SexMen:CES11  
##                                 -8.17  
##        Age:IPVstatus1:RaceAfrAm:CES11  
##                                 21.23  
##            Age:SexMen:RaceAfrAm:CES11  
##                                 27.66  
##     IPVstatus1:SexMen:RaceAfrAm:CES11  
##                               -317.21  
## Age:IPVstatus1:SexMen:RaceAfrAm:CES11  
##                                -10.38

(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)   1.06      1        1  0.3034
## (1 | HNDid)     22.29      1     kept       0
## 
## Fixed effects:
##                                Sum Sq   Mean Sq NumDF  DenDF F.value
## Age:IPVstatus:Sex:Race:CES1 6.453e+01 6.453e+01     1  56.67  0.0086
## IPVstatus:Sex:Race:CES1     5.221e+02 5.221e+02     1  66.60  0.0689
## Age:IPVstatus:Sex:CES1      1.372e+03 1.372e+03     1  77.51  0.1140
## Age:IPVstatus:Race:CES1     3.388e+02 3.388e+02     1  68.66  0.2573
## IPVstatus:Race:CES1         4.700e-03 4.700e-03     1  45.91  0.0479
## Age:IPVstatus:CES1          3.357e+02 3.357e+02     1  97.84  0.1720
## Age:Sex:Race:CES1           4.455e+03 4.455e+03     1  88.91  0.5259
## Sex:Race:CES1               2.289e+02 2.289e+02     1  43.28  0.0013
## Age:Race:CES1               5.904e+03 5.904e+03     1  94.09  0.1283
## Race:CES1                   2.853e+03 2.853e+03     1  43.07  0.1403
## Age:Sex:CES1                1.303e+04 1.303e+04     1 101.45  0.7982
## Age:CES1                    1.309e+03 1.309e+03     1  99.68  0.0118
## Age:IPVstatus:Sex:Race      5.760e+03 5.760e+03     1 101.74  1.0488
## Age:IPVstatus:Sex           7.245e+02 7.245e+02     1 103.96  0.0610
## Age:Sex:Race                3.866e+03 3.866e+03     1 106.05  0.1338
## Age:IPVstatus:Race          1.453e+04 1.453e+04     1 104.52  2.0156
## Age:Race                    2.788e+03 2.788e+03     1 108.79  0.0015
## Age:IPVstatus               2.322e+03 2.322e+03     1 107.68  0.5199
## IPVstatus:Sex:Race          6.492e+03 6.492e+03     1  49.38  2.8579
## IPVstatus:Race              4.625e+03 4.625e+03     1  50.09  0.0014
## Sex:Race                    3.201e+02 3.201e+02     1  51.23  0.0251
## Age:Sex                     8.294e+03 8.294e+03     1 110.65  2.7394
## Age                         2.085e+04 2.085e+04     1 114.10  2.0428
## IPVstatus                   8.191e+03 8.191e+03     1  54.00  3.9893
## Sex                         1.423e+04 1.423e+04     1  54.00 10.6464
## Race                        2.880e+04 2.880e+04     1  54.00  6.1147
## CES1                        5.494e+03 5.494e+03     1  54.00  2.8659
## IPVstatus:Sex               6.789e+04 6.789e+04     1  54.00 11.8153
## IPVstatus:CES1              4.938e+03 4.938e+03     1  54.00  0.7132
## Sex:CES1                    6.993e+02 6.993e+02     1  54.00  1.3620
## IPVstatus:Sex:CES1          2.632e+04 2.632e+04     1  54.00  4.7126
##                             elim.num Pr(>F)
## Age:IPVstatus:Sex:Race:CES1        1 0.9265
## IPVstatus:Sex:Race:CES1            2 0.7937
## Age:IPVstatus:Sex:CES1             3 0.7366
## Age:IPVstatus:Race:CES1            4 0.6136
## IPVstatus:Race:CES1                5 0.8277
## Age:IPVstatus:CES1                 6 0.6792
## Age:Sex:Race:CES1                  7 0.4703
## Sex:Race:CES1                      8 0.9715
## Age:Race:CES1                      9 0.7210
## Race:CES1                         10 0.7099
## Age:Sex:CES1                      11 0.3737
## Age:CES1                          12 0.9136
## Age:IPVstatus:Sex:Race            13 0.3082
## Age:IPVstatus:Sex                 14 0.8054
## Age:Sex:Race                      15 0.7153
## Age:IPVstatus:Race                16 0.1587
## Age:Race                          17 0.9693
## Age:IPVstatus                     18 0.4724
## IPVstatus:Sex:Race                19 0.0972
## IPVstatus:Race                    20 0.9704
## Sex:Race                          21 0.8747
## Age:Sex                           22 0.1007
## Age                               23 0.1557
## IPVstatus                       kept 0.0508
## Sex                             kept 0.0019
## Race                            kept 0.0166
## CES1                            kept 0.0962
## IPVstatus:Sex                   kept 0.0011
## IPVstatus:CES1                  kept 0.4021
## Sex:CES1                        kept 0.2483
## IPVstatus:Sex:CES1              kept 0.0344
## 
## Least squares means:
##                               IPVstatus Sex Race CES1 Estimate
## IPVstatus  0                          1  NA   NA   NA     76.3
## IPVstatus  1                          2  NA   NA   NA    147.5
## Sex  Women                           NA   2   NA   NA     53.6
## Sex  Men                             NA   1   NA   NA    170.2
## Race  White                          NA  NA    2   NA     68.9
## Race  AfrAm                          NA  NA    1   NA    154.9
## CES1  0                              NA  NA   NA    1    142.1
## CES1  1                              NA  NA   NA    2     81.6
## IPVstatus:Sex  0 Women                1   2   NA   NA     79.2
## IPVstatus:Sex  1 Women                2   2   NA   NA     28.0
## IPVstatus:Sex  0 Men                  1   1   NA   NA     73.3
## IPVstatus:Sex  1 Men                  2   1   NA   NA    267.0
## IPVstatus:CES1  0 0                   1  NA   NA    1     91.5
## IPVstatus:CES1  1 0                   2  NA   NA    1    192.8
## IPVstatus:CES1  0 1                   1  NA   NA    2     61.0
## IPVstatus:CES1  1 1                   2  NA   NA    2    102.2
## Sex:CES1  Women 0                    NA   2   NA    1     62.8
## Sex:CES1  Men 0                      NA   1   NA    1    221.5
## Sex:CES1  Women 1                    NA   2   NA    2     44.4
## Sex:CES1  Men 1                      NA   1   NA    2    118.8
## IPVstatus:Sex:CES1  0 Women 0         1   2   NA    1    113.2
## IPVstatus:Sex:CES1  1 Women 0         2   2   NA    1     12.4
## IPVstatus:Sex:CES1  0 Men 0           1   1   NA    1     69.8
## IPVstatus:Sex:CES1  1 Men 0           2   1   NA    1    373.2
## IPVstatus:Sex:CES1  0 Women 1         1   2   NA    2     45.3
## IPVstatus:Sex:CES1  1 Women 1         2   2   NA    2     43.6
## IPVstatus:Sex:CES1  0 Men 1           1   1   NA    2     76.8
## IPVstatus:Sex:CES1  1 Men 1           2   1   NA    2    160.8
##                               Standard Error DF t-value Lower CI Upper CI
## IPVstatus  0                            21.4 54    3.57    33.42      119
## IPVstatus  1                            29.2 54    5.04    88.85      206
## Sex  Women                              24.8 54    2.16     3.83      103
## Sex  Men                                26.4 54    6.44   117.19      223
## Race  White                             28.3 54    2.43    12.03      126
## Race  AfrAm                             21.9 54    7.08   111.06      199
## CES1  0                                 26.4 54    5.39    89.26      195
## CES1  1                                 24.9 54    3.28    31.71      132
## IPVstatus:Sex  0 Women                  31.8 54    2.49    15.54      143
## IPVstatus:Sex  1 Women                  37.3 54    0.75   -46.72      103
## IPVstatus:Sex  0 Men                    27.6 54    2.66    17.98      129
## IPVstatus:Sex  1 Men                    44.8 54    5.96   177.11      357
## IPVstatus:CES1  0 0                     25.0 54    3.66    41.33      142
## IPVstatus:CES1  1 0                     46.3 54    4.17   100.02      286
## IPVstatus:CES1  0 1                     33.8 54    1.81    -6.73      129
## IPVstatus:CES1  1 1                     35.5 54    2.88    31.03      173
## Sex:CES1  Women 0                       35.0 54    1.80    -7.29      133
## Sex:CES1  Men 0                         39.9 54    5.56   141.58      301
## Sex:CES1  Women 1                       34.2 54    1.30   -24.11      113
## Sex:CES1  Men 1                         35.1 54    3.39    48.46      189
## IPVstatus:Sex:CES1  0 Women 0           38.4 54    2.94    36.14      190
## IPVstatus:Sex:CES1  1 Women 0           57.5 54    0.22  -102.99      128
## IPVstatus:Sex:CES1  0 Men 0             31.7 54    2.20     6.20      133
## IPVstatus:Sex:CES1  1 Men 0             73.3 54    5.09   226.23      520
## IPVstatus:Sex:CES1  0 Women 1           49.4 54    0.92   -53.80      144
## IPVstatus:Sex:CES1  1 Women 1           47.9 54    0.91   -52.45      140
## IPVstatus:Sex:CES1  0 Men 1             45.0 54    1.71   -13.32      167
## IPVstatus:Sex:CES1  1 Men 1             52.9 54    3.04    54.67      267
##                               p-value
## IPVstatus  0                   0.0008
## IPVstatus  1                   <2e-16
## Sex  Women                     0.0353
## Sex  Men                       <2e-16
## Race  White                    0.0185
## Race  AfrAm                    <2e-16
## CES1  0                        <2e-16
## CES1  1                        0.0018
## IPVstatus:Sex  0 Women         0.0157
## IPVstatus:Sex  1 Women         0.4559
## IPVstatus:Sex  0 Men           0.0104
## IPVstatus:Sex  1 Men           <2e-16
## IPVstatus:CES1  0 0            0.0006
## IPVstatus:CES1  1 0            0.0001
## IPVstatus:CES1  0 1            0.0765
## IPVstatus:CES1  1 1            0.0057
## Sex:CES1  Women 0              0.0780
## Sex:CES1  Men 0                <2e-16
## Sex:CES1  Women 1              0.1993
## Sex:CES1  Men 1                0.0013
## IPVstatus:Sex:CES1  0 Women 0  0.0048
## IPVstatus:Sex:CES1  1 Women 0  0.8304
## IPVstatus:Sex:CES1  0 Men 0    0.0321
## IPVstatus:Sex:CES1  1 Men 0    <2e-16
## IPVstatus:Sex:CES1  0 Women 1  0.3637
## IPVstatus:Sex:CES1  1 Women 1  0.3670
## IPVstatus:Sex:CES1  0 Men 1    0.0933
## IPVstatus:Sex:CES1  1 Men 1    0.0037
## 
##  Differences of LSMEANS:
##                                 Estimate Standard Error     DF t-value
## IPVstatus 0-1                      -71.2          35.66   54.0   -2.00
## Sex Women-Men                     -116.5          35.71   54.0   -3.26
## Race White-AfrAm                   -86.0          34.79   54.0   -2.47
## CES1 0-1                            60.5          35.75   54.0    1.69
## IPVstatus:Sex  0 Women- 1 Women     51.3          48.27   54.0    1.06
## IPVstatus:Sex  0 Women- 0 Men        6.0          41.41   54.0    0.14
## IPVstatus:Sex  0 Women- 1 Men     -187.7          54.50   54.0   -3.45
## IPVstatus:Sex  1 Women- 0 Men      -45.3          46.09   54.0   -0.98
## IPVstatus:Sex  1 Women- 1 Men     -239.0          58.10   54.0   -4.11
## IPVstatus:Sex  0 Men- 1 Men       -193.7          52.47   54.0   -3.69
## IPVstatus:CES1  0 0- 1 0          -101.3          52.45   54.0   -1.93
## IPVstatus:CES1  0 0- 0 1            30.5          41.36   54.0    0.74
## IPVstatus:CES1  0 0- 1 1           -10.7          43.06   54.0   -0.25
## IPVstatus:CES1  1 0- 0 1           131.7          56.96   54.0    2.31
## IPVstatus:CES1  1 0- 1 1            90.6          58.13   54.0    1.56
## IPVstatus:CES1  0 1- 1 1           -41.2          48.23   54.0   -0.85
## Sex:CES1  Women 0- Men 0          -158.7          53.27   54.0   -2.98
## Sex:CES1  Women 0- Women 1          18.4          48.12   54.0    0.38
## Sex:CES1  Women 0- Men 1           -56.0          48.30   54.0   -1.16
## Sex:CES1  Men 0- Women 1           177.1          52.67   54.0    3.36
## Sex:CES1  Men 0- Men 1             102.7          53.37   54.0    1.92
## Sex:CES1  Women 1- Men 1           -74.4          48.17   54.0   -1.54
##                                 Lower CI Upper CI p-value
## IPVstatus 0-1                    -142.71     0.27   0.051
## Sex Women-Men                    -188.13   -44.93   0.002
## Race White-AfrAm                 -155.79   -16.28   0.017
## CES1 0-1                          -11.15   132.20   0.096
## IPVstatus:Sex  0 Women- 1 Women   -45.51   148.04   0.293
## IPVstatus:Sex  0 Women- 0 Men     -77.07    88.98   0.886
## IPVstatus:Sex  0 Women- 1 Men    -297.01   -78.49   0.001
## IPVstatus:Sex  1 Women- 0 Men    -137.71    47.08   0.330
## IPVstatus:Sex  1 Women- 1 Men    -355.50  -122.53   1e-04
## IPVstatus:Sex  0 Men- 1 Men      -298.89   -88.52   5e-04
## IPVstatus:CES1  0 0- 1 0         -206.43     3.87   0.059
## IPVstatus:CES1  0 0- 0 1          -52.47   113.39   0.465
## IPVstatus:CES1  0 0- 1 1          -97.04    75.64   0.805
## IPVstatus:CES1  1 0- 0 1           17.54   245.94   0.025
## IPVstatus:CES1  1 0- 1 1          -25.97   207.13   0.125
## IPVstatus:CES1  0 1- 1 1         -137.86    55.54   0.397
## Sex:CES1  Women 0- Men 0         -265.47   -51.87   0.004
## Sex:CES1  Women 0- Women 1        -78.09   114.85   0.704
## Sex:CES1  Women 0- Men 1         -152.84    40.82   0.251
## Sex:CES1  Men 0- Women 1           71.45   282.66   0.001
## Sex:CES1  Men 0- Men 1             -4.34   209.66   0.060
## Sex:CES1  Women 1- Men 1         -170.97    22.19   0.128
## 
## Final model:
## lme4::lmer(formula = IPVandCognitionDataSet2$"TrailsB-A" ~ 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(IPVandCognitionDataSet2$"TrailsB-A" ~ IPVstatus + Sex + Race + CES1 + 
    (1 | HNDid) + IPVstatus:Sex + IPVstatus:CES1 + Sex:CES1 + IPVstatus:Sex:CES1, 
    data = IPVandCognitionDataSet2, REML = F))
## Linear mixed model fit by maximum likelihood ['merModLmerTest']
## Formula: IPVandCognitionDataSet2$"TrailsB-A" ~ IPVstatus + Sex + Race +      CES1 + (1 | HNDid) + IPVstatus:Sex + IPVstatus:CES1 + Sex:CES1 +      IPVstatus:Sex:CES1 
##    Data: IPVandCognitionDataSet2 
##      AIC      BIC   logLik deviance 
##   1581.2   1612.4   -779.6   1559.2 
## Random effects:
##  Groups   Name        Std.Dev.
##  HNDid    (Intercept) 101.1   
##  Residual              83.6   
## Number of obs: 126, groups: HNDid, 63
## Fixed Effects:
##             (Intercept)               IPVstatus1                   SexMen  
##                    70.2                   -100.8                    -43.4  
##               RaceAfrAm                    CES11        IPVstatus1:SexMen  
##                    86.0                    -67.9                    404.2  
##        IPVstatus1:CES11             SexMen:CES11  IPVstatus1:SexMen:CES11  
##                    99.1                     75.0                   -318.5

summary(mm2)
## Linear mixed model fit by maximum likelihood ['merModLmerTest']
## Formula: IPVandCognitionDataSet2$"TrailsB-A" ~ IPVstatus + Sex + Race +      CES1 + (1 | HNDid) + IPVstatus:Sex + IPVstatus:CES1 + Sex:CES1 +      IPVstatus:Sex:CES1 
##    Data: IPVandCognitionDataSet2 
## 
##      AIC      BIC   logLik deviance 
##   1581.2   1612.4   -779.6   1559.2 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  HNDid    (Intercept) 10228    101.1   
##  Residual              6997     83.6   
## Number of obs: 126, groups: HNDid, 63
## 
## Fixed effects:
##                         Estimate Std. Error     df t value Pr(>|t|)
## (Intercept)                 70.2       40.8   63.0    1.72  0.09053
## IPVstatus1                -100.8       63.4   63.0   -1.59  0.11681
## SexMen                     -43.4       46.0   63.0   -0.95  0.34805
## RaceAfrAm                   86.0       32.2   63.0    2.67  0.00961
## CES11                      -67.9       57.1   63.0   -1.19  0.23844
## IPVstatus1:SexMen          404.2       97.9   63.0    4.13  0.00011
## IPVstatus1:CES11            99.1       91.0   63.0    1.09  0.28008
## SexMen:CES11                75.0       76.2   63.0    0.98  0.32898
## IPVstatus1:SexMen:CES11   -318.5      135.8   63.0   -2.34  0.02220
## 
## 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)

plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3 plot of chunk unnamed-chunk-3


plot(mm2)

plot of chunk unnamed-chunk-3