HgbA1C Analyses

2-way interaction of CES x Age with A1C - 2-way interaction is significant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: HgbA1C ~ (CES + cenAge)^2 + cenSex + cenPovStat + cenEducnum +  
##     (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 7844
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.2885 -0.3221 -0.0624  0.2208  9.4909 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  HNDid    (Intercept) 0.2893555 0.53792      
##           cenAge      0.0002703 0.01644  1.00
##  Residual             0.1902020 0.43612      
## Number of obs: 4278, groups:  HNDid, 1942
## 
## Fixed effects:
##               Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)  5.726e+00  4.699e-02  2.017e+03 121.864  < 2e-16 ***
## CES          1.131e-03  1.317e-03  1.518e+03   0.859    0.390    
## cenAge       1.353e-02  1.984e-03  3.281e+03   6.817  1.1e-11 ***
## cenSex      -1.075e-02  2.684e-02  1.950e+03  -0.400    0.689    
## cenPovStat   1.446e-02  2.825e-02  1.944e+03   0.512    0.609    
## cenEducnum  -1.186e-02  5.461e-03  1.957e+03  -2.171    0.030 *  
## CES:cenAge   2.403e-04  1.127e-04  3.454e+03   2.133    0.033 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##            (Intr) CES    cenAge cenSex cnPvSt cnEdcn
## CES        -0.415                                   
## cenAge      0.197 -0.295                            
## cenSex      0.575  0.090 -0.008                     
## cenPovStat  0.667 -0.104  0.037  0.042              
## cenEducnum  0.090  0.160  0.002  0.051  0.243       
## CES:cenAge -0.143  0.400 -0.786  0.006 -0.006  0.010

Plot the interaction effect

##      cenAge            CES             Hat       
##  Min.   :-21.00   Min.   : 3.23   Min.   :5.337  
##  1st Qu.: -9.25   1st Qu.: 3.23   1st Qu.:5.581  
##  Median :  2.50   Median :14.54   Median :5.778  
##  Mean   :  2.50   Mean   :14.54   Mean   :5.781  
##  3rd Qu.: 14.25   3rd Qu.:25.85   3rd Qu.:5.979  
##  Max.   : 26.00   Max.   :25.85   Max.   :6.265

3-way interaction of CES x Race x Age with A1C - 3-way interaction is nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## HgbA1C ~ (CES + cenAge + cenRace)^3 + cenSex + cenPovStat + cenEducnum +  
##     (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 7811
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.3600 -0.3149 -0.0557  0.2236  9.5317 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  HNDid    (Intercept) 0.2806312 0.5297       
##           cenAge      0.0002993 0.0173   1.00
##  Residual             0.1885804 0.4343       
## Number of obs: 4278, groups:  HNDid, 1942
## 
## Fixed effects:
##                      Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)         5.923e+00  6.469e-02  1.816e+03  91.561  < 2e-16 ***
## CES                -7.390e-04  2.918e-03  1.431e+03  -0.253   0.8001    
## cenAge              9.325e-03  4.446e-03  3.286e+03   2.097   0.0360 *  
## cenRace             2.501e-01  4.686e-02  1.449e+03   5.338 1.09e-07 ***
## cenSex             -1.358e-02  2.631e-02  1.941e+03  -0.516   0.6057    
## cenPovStat         -2.841e-02  2.811e-02  1.938e+03  -1.011   0.3123    
## cenEducnum         -9.101e-03  5.367e-03  1.954e+03  -1.696   0.0901 .  
## CES:cenAge          3.275e-04  2.516e-04  3.473e+03   1.302   0.1930    
## CES:cenRace        -2.323e-03  2.548e-03  1.438e+03  -0.912   0.3621    
## cenAge:cenRace     -4.002e-03  3.974e-03  3.187e+03  -1.007   0.3140    
## CES:cenAge:cenRace  8.025e-05  2.263e-04  3.345e+03   0.355   0.7229    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) CES    cenAge cenRac cenSex cnPvSt cnEdcn CES:cA CES:cR
## CES         -0.661                                                        
## cenAge       0.332 -0.324                                                 
## cenRace      0.694 -0.687  0.338                                          
## cenSex       0.418  0.016  0.003  0.010                                   
## cenPovStat   0.424 -0.068  0.037 -0.083  0.045                            
## cenEducnum   0.097  0.036 -0.009  0.050  0.051  0.232                     
## CES:cenAge  -0.272  0.439 -0.789 -0.272 -0.011 -0.033 -0.010              
## CES:cenRace -0.597  0.895 -0.288 -0.779 -0.027 -0.022 -0.040  0.394       
## cenAge:cnRc  0.290 -0.284  0.897  0.369  0.007  0.024 -0.011 -0.708 -0.311
## CES:cnAg:cR -0.240  0.382 -0.704 -0.291 -0.015 -0.033 -0.016  0.896  0.423
##             cnAg:R
## CES               
## cenAge            
## cenRace           
## cenSex            
## cenPovStat        
## cenEducnum        
## CES:cenAge        
## CES:cenRace       
## cenAge:cnRc       
## CES:cnAg:cR -0.785

3-way interaction of CES x Sex x Age with A1C - 3-way interaction is nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## HgbA1C ~ (CES + cenAge + cenSex)^3 + cenRace + cenPovStat + cenEducnum +  
##     (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 7808.6
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.3700 -0.3178 -0.0573  0.2255  9.5208 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  HNDid    (Intercept) 0.2811065 0.53019      
##           cenAge      0.0003023 0.01739  1.00
##  Residual             0.1883028 0.43394      
## Number of obs: 4278, groups:  HNDid, 1942
## 
## Fixed effects:
##                     Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)        5.831e+00  6.625e-02  1.809e+03  88.013  < 2e-16 ***
## CES                6.116e-03  3.276e-03  1.465e+03   1.867  0.06214 .  
## cenAge             1.532e-02  4.699e-03  3.394e+03   3.260  0.00113 ** 
## cenSex            -7.787e-02  4.707e-02  1.436e+03  -1.654  0.09829 .  
## cenRace            2.283e-01  2.674e-02  1.961e+03   8.536  < 2e-16 ***
## cenPovStat        -2.965e-02  2.809e-02  1.940e+03  -1.056  0.29129    
## cenEducnum        -9.210e-03  5.360e-03  1.955e+03  -1.718  0.08589 .  
## CES:cenAge         3.782e-05  2.898e-04  3.481e+03   0.131  0.89617    
## CES:cenSex         4.024e-03  2.676e-03  1.439e+03   1.504  0.13279    
## cenAge:cenSex      1.703e-03  4.025e-03  3.269e+03   0.423  0.67236    
## CES:cenAge:cenSex -1.841e-04  2.366e-04  3.433e+03  -0.778  0.43660    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) CES    cenAge cenSex cenRac cnPvSt cnEdcn CES:cA CES:cS
## CES         -0.677                                                        
## cenAge       0.313 -0.315                                                 
## cenSex       0.757 -0.698  0.337                                          
## cenRace      0.324 -0.005  0.007  0.008                                   
## cenPovStat   0.408 -0.049  0.012  0.033 -0.173                            
## cenEducnum   0.061  0.091  0.004  0.007  0.049  0.231                     
## CES:cenAge  -0.252  0.427 -0.802 -0.270 -0.012  0.007  0.007              
## CES:cenSex  -0.621  0.917 -0.296 -0.787 -0.025 -0.006  0.029  0.395       
## cenAge:cnSx  0.281 -0.281  0.907  0.379  0.010 -0.003  0.004 -0.713 -0.317
## CES:cnAg:cS -0.237  0.394 -0.748 -0.303 -0.017  0.011  0.003  0.922  0.430
##             cnAg:S
## CES               
## cenAge            
## cenSex            
## cenRace           
## cenPovStat        
## cenEducnum        
## CES:cenAge        
## CES:cenSex        
## cenAge:cnSx       
## CES:cnAg:cS -0.792

4-way interaction of CES x Race x Sex x Age with A1C - 4-way interaction is nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## HgbA1C ~ (CES + cenAge + cenRace + cenSex)^4 + cenPovStat + cenEducnum +  
##     (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 7867.8
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.3712 -0.3168 -0.0566  0.2201  9.5208 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  HNDid    (Intercept) 0.2794443 0.52862      
##           cenAge      0.0002967 0.01723  1.00
##  Residual             0.1885310 0.43420      
## Number of obs: 4278, groups:  HNDid, 1942
## 
## Fixed effects:
##                             Estimate Std. Error         df t value
## (Intercept)                5.818e+00  1.279e-01  1.514e+03  45.500
## CES                       -2.246e-03  7.434e-03  1.441e+03  -0.302
## cenAge                     1.078e-02  1.069e-02  3.486e+03   1.008
## cenRace                    2.156e-01  1.087e-01  1.457e+03   1.983
## cenSex                    -1.195e-01  1.072e-01  1.429e+03  -1.115
## cenPovStat                -2.863e-02  2.813e-02  1.938e+03  -1.018
## cenEducnum                -8.955e-03  5.373e-03  1.956e+03  -1.667
## CES:cenAge                -7.168e-04  6.461e-04  3.605e+03  -1.109
## CES:cenRace               -8.783e-03  6.572e-03  1.452e+03  -1.336
## CES:cenSex                -1.138e-03  6.109e-03  1.428e+03  -0.186
## cenAge:cenRace            -3.821e-03  9.468e-03  3.355e+03  -0.404
## cenAge:cenSex             -1.675e-04  9.111e-03  3.353e+03  -0.018
## cenRace:cenSex            -4.176e-02  9.461e-02  1.441e+03  -0.441
## CES:cenAge:cenRace        -8.464e-04  5.934e-04  3.373e+03  -1.426
## CES:cenAge:cenSex         -8.808e-04  5.299e-04  3.536e+03  -1.662
## CES:cenRace:cenSex        -5.371e-03  5.388e-03  1.443e+03  -0.997
## cenAge:cenRace:cenSex     -1.332e-03  8.130e-03  3.231e+03  -0.164
## CES:cenAge:cenRace:cenSex -7.610e-04  4.828e-04  3.347e+03  -1.576
##                           Pr(>|t|)    
## (Intercept)                 <2e-16 ***
## CES                         0.7626    
## cenAge                      0.3134    
## cenRace                     0.0475 *  
## cenSex                      0.2649    
## cenPovStat                  0.3089    
## cenEducnum                  0.0957 .  
## CES:cenAge                  0.2673    
## CES:cenRace                 0.1816    
## CES:cenSex                  0.8523    
## cenAge:cenRace              0.6866    
## cenAge:cenSex               0.9853    
## cenRace:cenSex              0.6590    
## CES:cenAge:cenRace          0.1539    
## CES:cenAge:cenSex           0.0966 .  
## CES:cenRace:cenSex          0.3190    
## cenAge:cenRace:cenSex       0.8699    
## CES:cenAge:cenRace:cenSex   0.1151    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

2-way interaction of EF x Age with A1C - 2-way interaction is nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## HgbA1C ~ (EF + cenAge)^3 + cenRace + cenSex + cenPovStat + cenEducnum +  
##     (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 7508.6
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.3810 -0.3140 -0.0567  0.2224  9.5244 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  HNDid    (Intercept) 0.2830368 0.53201      
##           cenAge      0.0002914 0.01707  1.00
##  Residual             0.1859944 0.43127      
## Number of obs: 4147, groups:  HNDid, 1880
## 
## Fixed effects:
##               Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)  5.932e+00  4.866e-02  1.926e+03 121.922  < 2e-16 ***
## EF           8.122e-03  7.571e-03  1.647e+03   1.073   0.2835    
## cenAge       1.694e-02  1.262e-03  3.283e+03  13.418  < 2e-16 ***
## cenRace      2.361e-01  2.851e-02  1.882e+03   8.280 2.31e-16 ***
## cenSex      -1.604e-02  2.669e-02  1.880e+03  -0.601   0.5479    
## cenPovStat  -2.166e-02  2.860e-02  1.880e+03  -0.758   0.4488    
## cenEducnum  -1.144e-02  5.709e-03  1.888e+03  -2.004   0.0452 *  
## EF:cenAge    1.485e-05  5.656e-04  3.195e+03   0.026   0.9791    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##            (Intr) EF     cenAge cenRac cenSex cnPvSt cnEdcn
## EF          0.157                                          
## cenAge      0.182  0.088                                   
## cenRace     0.471  0.264  0.052                            
## cenSex      0.582 -0.019 -0.003 -0.029                     
## cenPovStat  0.533  0.067  0.069 -0.146  0.059              
## cenEducnum  0.108 -0.315 -0.038 -0.054  0.037  0.213       
## EF:cenAge   0.007  0.418 -0.144  0.003 -0.010 -0.010 -0.031

3-way interaction of EF x Race x Age with A1C - 3-way interaction is nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## HgbA1C ~ (EF + cenAge + cenRace)^3 + cenSex + cenPovStat + cenEducnum +  
##     (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 7531.3
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.3514 -0.3118 -0.0552  0.2252  9.5227 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  HNDid    (Intercept) 0.2821338 0.53116      
##           cenAge      0.0002914 0.01707  1.00
##  Residual             0.1860979 0.43139      
## Number of obs: 4147, groups:  HNDid, 1880
## 
## Fixed effects:
##                     Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)        5.915e+00  5.037e-02  1.915e+03 117.423  < 2e-16 ***
## EF                 3.679e-02  1.690e-02  1.414e+03   2.177   0.0296 *  
## cenAge             1.417e-02  2.889e-03  3.310e+03   4.906 9.73e-07 ***
## cenRace            2.093e-01  3.171e-02  1.454e+03   6.598 5.81e-11 ***
## cenSex            -1.608e-02  2.666e-02  1.877e+03  -0.603   0.5464    
## cenPovStat        -2.051e-02  2.857e-02  1.876e+03  -0.718   0.4729    
## cenEducnum        -9.439e-03  5.771e-03  1.884e+03  -1.636   0.1021    
## EF:cenAge          5.511e-04  1.392e-03  3.179e+03   0.396   0.6923    
## EF:cenRace         2.897e-02  1.448e-02  1.424e+03   2.001   0.0456 *  
## cenAge:cenRace    -3.124e-03  2.749e-03  3.259e+03  -1.136   0.2559    
## EF:cenAge:cenRace  7.689e-04  1.206e-03  3.244e+03   0.637   0.5238    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) EF     cenAge cenRac cenSex cnPvSt cnEdcn EF:cnA EF:cnR
## EF           0.089                                                        
## cenAge       0.295  0.154                                                 
## cenRace      0.517  0.004  0.353                                          
## cenSex       0.559 -0.017 -0.012 -0.029                                   
## cenPovStat   0.513  0.045  0.028 -0.136  0.059                            
## cenEducnum   0.089 -0.021 -0.037 -0.091  0.036  0.213                     
## EF:cenAge    0.097  0.453  0.057  0.088 -0.009 -0.001 -0.009              
## EF:cenRace   0.005  0.892  0.088 -0.144 -0.008  0.017  0.136  0.408       
## cenAge:cnRc  0.228  0.085  0.889  0.357 -0.011 -0.003 -0.025 -0.051  0.025
## EF:cnAg:cnR  0.063  0.405 -0.057  0.030 -0.004  0.004  0.011  0.902  0.450
##             cnAg:R
## EF                
## cenAge            
## cenRace           
## cenSex            
## cenPovStat        
## cenEducnum        
## EF:cenAge         
## EF:cenRace        
## cenAge:cnRc       
## EF:cnAg:cnR -0.217

3-way interaction of EF x Sex x Age with A1C - 3-way interaction is significant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## HgbA1C ~ (EF + cenAge + cenSex)^3 + cenRace + cenPovStat + cenEducnum +  
##     (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 7532.7
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.3747 -0.3156 -0.0557  0.2241  9.5352 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  HNDid    (Intercept) 0.2823979 0.53141      
##           cenAge      0.0002894 0.01701  1.00
##  Residual             0.1860733 0.43136      
## Number of obs: 4147, groups:  HNDid, 1880
## 
## Fixed effects:
##                    Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)       5.923e+00  5.041e-02  1.903e+03 117.495  < 2e-16 ***
## EF                2.570e-02  1.550e-02  1.443e+03   1.658   0.0975 .  
## cenAge            1.445e-02  2.887e-03  3.333e+03   5.005 5.87e-07 ***
## cenSex           -2.368e-02  2.957e-02  1.415e+03  -0.801   0.4233    
## cenRace           2.361e-01  2.853e-02  1.884e+03   8.276 2.39e-16 ***
## cenPovStat       -2.337e-02  2.861e-02  1.883e+03  -0.817   0.4142    
## cenEducnum       -1.176e-02  5.711e-03  1.888e+03  -2.058   0.0397 *  
## EF:cenAge         2.288e-03  1.268e-03  3.267e+03   1.804   0.0713 .  
## EF:cenSex         1.743e-02  1.364e-02  1.390e+03   1.277   0.2017    
## cenAge:cenSex    -2.441e-03  2.528e-03  3.274e+03  -0.966   0.3342    
## EF:cenAge:cenSex  2.272e-03  1.133e-03  3.202e+03   2.004   0.0451 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) EF     cenAge cenSex cenRac cnPvSt cnEdcn EF:cnA EF:cnS
## EF           0.012                                                        
## cenAge       0.284  0.054                                                 
## cenSex       0.620 -0.087  0.340                                          
## cenRace      0.455  0.100  0.008 -0.026                                   
## cenPovStat   0.515  0.038  0.048  0.054 -0.147                            
## cenEducnum   0.102 -0.147 -0.008  0.029 -0.055  0.214                     
## EF:cenAge    0.016  0.456 -0.134  0.042  0.007 -0.032 -0.042              
## EF:cenSex   -0.071  0.873  0.044 -0.090 -0.033  0.006  0.008  0.408       
## cenAge:cnSx  0.229  0.043  0.899  0.377 -0.017  0.020  0.010 -0.125  0.054
## EF:cnAg:cnS  0.014  0.405 -0.123  0.050  0.006 -0.031 -0.031  0.895  0.453
##             cnAg:S
## EF                
## cenAge            
## cenSex            
## cenRace           
## cenPovStat        
## cenEducnum        
## EF:cenAge         
## EF:cenSex         
## cenAge:cnSx       
## EF:cnAg:cnS -0.144

Plot the interaction effect

Add level 2 covariates - 3-way interaction becomes nonsignificant, could be due to loss of power from small sample size

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## HgbA1C ~ (EF + cenAge + cenSex)^3 + cenRace + cenPovStat + cenEducnum +  
##     cenCiguser.dich + cenAlcCurr + cenBMI + cenDxHTN + (cenAge |  
##     HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 6265
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.9354 -0.3251 -0.0592  0.2180  9.9667 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  HNDid    (Intercept) 0.2370406 0.48687      
##           cenAge      0.0002208 0.01486  1.00
##  Residual             0.1717995 0.41449      
## Number of obs: 3626, groups:  HNDid, 1732
## 
## Fixed effects:
##                    Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)       5.984e+00  6.197e-02  2.107e+03  96.560  < 2e-16 ***
## EF                1.885e-02  1.503e-02  1.435e+03   1.254   0.2100    
## cenAge            1.209e-02  2.917e-03  3.053e+03   4.145 3.50e-05 ***
## cenSex            6.248e-02  2.937e-02  1.462e+03   2.128   0.0335 *  
## cenRace           2.199e-01  2.806e-02  1.681e+03   7.839 8.01e-15 ***
## cenPovStat       -1.199e-02  2.841e-02  1.680e+03  -0.422   0.6732    
## cenEducnum       -5.562e-03  5.774e-03  1.679e+03  -0.963   0.3355    
## cenCiguser.dich   2.891e-02  2.921e-02  1.723e+03   0.990   0.3225    
## cenAlcCurr       -8.850e-02  2.145e-02  3.422e+03  -4.125 3.79e-05 ***
## cenBMI            2.091e-02  1.754e-03  2.422e+03  11.919  < 2e-16 ***
## cenDxHTN          4.709e-02  2.364e-02  3.439e+03   1.992   0.0465 *  
## EF:cenAge         1.394e-03  1.264e-03  2.959e+03   1.103   0.2699    
## EF:cenSex         1.088e-02  1.334e-02  1.397e+03   0.815   0.4149    
## cenAge:cenSex    -2.170e-03  2.557e-03  3.012e+03  -0.849   0.3961    
## EF:cenAge:cenSex  1.474e-03  1.150e-03  2.929e+03   1.282   0.1999    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

4-way interaction of EF x Race x Sex x Age with A1C - 4-way interaction was nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## HgbA1C ~ (EF + cenAge + cenRace + cenSex)^4 + cenPovStat + cenEducnum +  
##     (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 7578.6
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.3369 -0.3156 -0.0583  0.2233  9.5260 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  HNDid    (Intercept) 0.2812403 0.53032      
##           cenAge      0.0002868 0.01694  1.00
##  Residual             0.1861766 0.43148      
## Number of obs: 4147, groups:  HNDid, 1880
## 
## Fixed effects:
##                            Estimate Std. Error         df t value Pr(>|t|)
## (Intercept)               5.822e+00  8.116e-02  1.518e+03  71.729   <2e-16
## EF                        6.423e-02  3.692e-02  1.397e+03   1.740   0.0821
## cenAge                    3.042e-03  6.559e-03  3.349e+03   0.464   0.6428
## cenRace                   1.187e-01  7.205e-02  1.447e+03   1.648   0.0996
## cenSex                   -1.049e-01  6.832e-02  1.399e+03  -1.535   0.1250
## cenPovStat               -2.118e-02  2.859e-02  1.877e+03  -0.741   0.4589
## cenEducnum               -9.823e-03  5.777e-03  1.883e+03  -1.700   0.0892
## EF:cenAge                 5.510e-03  3.044e-03  3.245e+03   1.810   0.0704
## EF:cenRace                4.481e-02  3.183e-02  1.406e+03   1.408   0.1594
## EF:cenSex                 2.685e-02  3.373e-02  1.407e+03   0.796   0.4261
## cenAge:cenRace           -1.292e-02  6.239e-03  3.246e+03  -2.070   0.0385
## cenAge:cenSex            -1.070e-02  5.798e-03  3.306e+03  -1.846   0.0650
## cenRace:cenSex           -8.686e-02  6.310e-02  1.432e+03  -1.376   0.1689
## EF:cenAge:cenRace         3.849e-03  2.671e-03  3.240e+03   1.441   0.1496
## EF:cenAge:cenSex          5.069e-03  2.786e-03  3.171e+03   1.819   0.0689
## EF:cenRace:cenSex         1.569e-02  2.871e-02  1.403e+03   0.547   0.5847
## cenAge:cenRace:cenSex    -9.444e-03  5.523e-03  3.260e+03  -1.710   0.0874
## EF:cenAge:cenRace:cenSex  3.176e-03  2.416e-03  3.233e+03   1.315   0.1887
##                             
## (Intercept)              ***
## EF                       .  
## cenAge                      
## cenRace                  .  
## cenSex                      
## cenPovStat                  
## cenEducnum               .  
## EF:cenAge                .  
## EF:cenRace                  
## EF:cenSex                   
## cenAge:cenRace           *  
## cenAge:cenSex            .  
## cenRace:cenSex              
## EF:cenAge:cenRace           
## EF:cenAge:cenSex         .  
## EF:cenRace:cenSex           
## cenAge:cenRace:cenSex    .  
## EF:cenAge:cenRace:cenSex    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

4-way interaction of CES x EF x Race x Age with A1C - 4-way interaction was nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## HgbA1C ~ (cenCES + cenEF + cenAge + cenRace)^4 + cenSex + cenPovStat +  
##     cenEducnum + (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 7629.4
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.3677 -0.3110 -0.0564  0.2267  9.5195 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  HNDid    (Intercept) 0.2827510 0.53174      
##           cenAge      0.0002919 0.01709  1.00
##  Residual             0.1864823 0.43184      
## Number of obs: 4139, groups:  HNDid, 1877
## 
## Fixed effects:
##                               Estimate Std. Error         df t value
## (Intercept)                  5.934e+00  5.168e-02  1.897e+03 114.813
## cenCES                       8.956e-05  3.347e-03  1.402e+03   0.027
## cenEF                        3.488e-02  1.733e-02  1.436e+03   2.013
## cenAge                       1.458e-02  3.019e-03  3.310e+03   4.828
## cenRace                      2.255e-01  3.236e-02  1.457e+03   6.971
## cenSex                      -1.415e-02  2.686e-02  1.873e+03  -0.527
## cenPovStat                  -2.343e-02  2.884e-02  1.869e+03  -0.812
## cenEducnum                  -8.936e-03  5.836e-03  1.888e+03  -1.531
## cenCES:cenEF                 4.545e-04  1.493e-03  1.435e+03   0.304
## cenCES:cenAge                3.046e-04  2.868e-04  3.307e+03   1.062
## cenCES:cenRace              -1.780e-03  2.822e-03  1.422e+03  -0.631
## cenEF:cenAge                 9.466e-04  1.427e-03  3.187e+03   0.664
## cenEF:cenRace                2.614e-02  1.488e-02  1.439e+03   1.756
## cenAge:cenRace              -2.687e-03  2.759e-03  3.234e+03  -0.974
## cenCES:cenEF:cenAge         -1.441e-05  1.255e-04  3.378e+03  -0.115
## cenCES:cenEF:cenRace         5.394e-04  1.293e-03  1.442e+03   0.417
## cenCES:cenAge:cenRace        5.747e-05  2.550e-04  3.252e+03   0.225
## cenEF:cenAge:cenRace         9.300e-04  1.240e-03  3.236e+03   0.750
## cenCES:cenEF:cenAge:cenRace  1.827e-05  1.148e-04  3.374e+03   0.159
##                             Pr(>|t|)    
## (Intercept)                  < 2e-16 ***
## cenCES                        0.9787    
## cenEF                         0.0443 *  
## cenAge                      1.44e-06 ***
## cenRace                     4.77e-12 ***
## cenSex                        0.5985    
## cenPovStat                    0.4166    
## cenEducnum                    0.1259    
## cenCES:cenEF                  0.7609    
## cenCES:cenAge                 0.2883    
## cenCES:cenRace                0.5283    
## cenEF:cenAge                  0.5070    
## cenEF:cenRace                 0.0793 .  
## cenAge:cenRace                0.3303    
## cenCES:cenEF:cenAge           0.9086    
## cenCES:cenEF:cenRace          0.6767    
## cenCES:cenAge:cenRace         0.8217    
## cenEF:cenAge:cenRace          0.4535    
## cenCES:cenEF:cenAge:cenRace   0.8736    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

4-way interaction of CES x EF x Sex x Age with A1C - 4-way interaction was nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## HgbA1C ~ (cenCES + cenEF + cenAge + cenSex)^4 + cenRace + cenPovStat +  
##     cenEducnum + (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 7627.2
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.4059 -0.3152 -0.0559  0.2234  9.5346 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  HNDid    (Intercept) 0.2828641 0.53185      
##           cenAge      0.0002912 0.01707  1.00
##  Residual             0.1862578 0.43158      
## Number of obs: 4139, groups:  HNDid, 1877
## 
## Fixed effects:
##                              Estimate Std. Error         df t value
## (Intercept)                 5.933e+00  5.149e-02  1.890e+03 115.232
## cenCES                      5.937e-03  3.452e-03  1.418e+03   1.720
## cenEF                       3.045e-02  1.604e-02  1.434e+03   1.898
## cenAge                      1.520e-02  3.007e-03  3.336e+03   5.053
## cenSex                     -1.783e-02  3.054e-02  1.421e+03  -0.584
## cenRace                     2.367e-01  2.869e-02  1.875e+03   8.249
## cenPovStat                 -2.734e-02  2.884e-02  1.872e+03  -0.948
## cenEducnum                 -1.055e-02  5.778e-03  1.890e+03  -1.825
## cenCES:cenEF               -5.009e-04  1.499e-03  1.412e+03  -0.334
## cenCES:cenAge               9.916e-05  3.064e-04  3.392e+03   0.324
## cenCES:cenSex               3.702e-03  2.819e-03  1.399e+03   1.313
## cenEF:cenAge                1.958e-03  1.347e-03  3.269e+03   1.454
## cenEF:cenSex                2.155e-02  1.413e-02  1.409e+03   1.525
## cenAge:cenSex              -1.594e-03  2.599e-03  3.259e+03  -0.613
## cenCES:cenEF:cenAge        -1.526e-04  1.353e-04  3.380e+03  -1.128
## cenCES:cenEF:cenSex        -6.412e-04  1.261e-03  1.423e+03  -0.508
## cenCES:cenAge:cenSex       -1.402e-04  2.488e-04  3.310e+03  -0.563
## cenEF:cenAge:cenSex         1.831e-03  1.184e-03  3.203e+03   1.546
## cenCES:cenEF:cenAge:cenSex -1.106e-04  1.107e-04  3.346e+03  -0.999
##                            Pr(>|t|)    
## (Intercept)                 < 2e-16 ***
## cenCES                       0.0857 .  
## cenEF                        0.0579 .  
## cenAge                     4.58e-07 ***
## cenSex                       0.5594    
## cenRace                    2.98e-16 ***
## cenPovStat                   0.3433    
## cenEducnum                   0.0681 .  
## cenCES:cenEF                 0.7383    
## cenCES:cenAge                0.7462    
## cenCES:cenSex                0.1894    
## cenEF:cenAge                 0.1461    
## cenEF:cenSex                 0.1275    
## cenAge:cenSex                0.5398    
## cenCES:cenEF:cenAge          0.2593    
## cenCES:cenEF:cenSex          0.6112    
## cenCES:cenAge:cenSex         0.5732    
## cenEF:cenAge:cenSex          0.1223    
## cenCES:cenEF:cenAge:cenSex   0.3178    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

5-way interaction of CES x EF x Race x Sex x Age with A1C - 5-way interaction was nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## HgbA1C ~ (cenCES + cenEF + cenAge + cenRace + cenSex)^5 + cenPovStat +  
##     cenEducnum + (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 7766.8
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -5.3611 -0.3166 -0.0559  0.2226  9.5348 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  HNDid    (Intercept) 0.2812578 0.53034      
##           cenAge      0.0002821 0.01679  1.00
##  Residual             0.1866187 0.43199      
## Number of obs: 4139, groups:  HNDid, 1877
## 
## Fixed effects:
##                                      Estimate Std. Error         df
## (Intercept)                         5.822e+00  8.560e-02  1.496e+03
## cenCES                             -5.750e-03  8.303e-03  1.405e+03
## cenEF                               6.088e-02  3.816e-02  1.399e+03
## cenAge                              1.370e-03  6.938e-03  3.404e+03
## cenRace                             1.117e-01  7.404e-02  1.443e+03
## cenSex                             -1.177e-01  7.245e-02  1.397e+03
## cenPovStat                         -2.401e-02  2.895e-02  1.862e+03
## cenEducnum                         -9.265e-03  5.869e-03  1.884e+03
## cenCES:cenEF                       -1.748e-03  3.661e-03  1.446e+03
## cenCES:cenAge                      -1.166e-03  7.215e-04  3.593e+03
## cenCES:cenRace                     -1.104e-02  7.102e-03  1.423e+03
## cenCES:cenSex                      -5.465e-03  6.928e-03  1.395e+03
## cenEF:cenAge                        4.472e-03  3.174e-03  3.283e+03
## cenEF:cenRace                       3.726e-02  3.306e-02  1.409e+03
## cenEF:cenSex                        2.593e-02  3.489e-02  1.433e+03
## cenAge:cenRace                     -1.490e-02  6.357e-03  3.266e+03
## cenAge:cenSex                      -1.205e-02  6.101e-03  3.330e+03
## cenRace:cenSex                     -1.033e-01  6.492e-02  1.429e+03
## cenCES:cenEF:cenAge                -3.964e-04  3.213e-04  3.593e+03
## cenCES:cenEF:cenRace               -6.595e-04  3.123e-03  1.470e+03
## cenCES:cenEF:cenSex                -2.282e-03  3.104e-03  1.467e+03
## cenCES:cenAge:cenRace              -1.226e-03  6.543e-04  3.353e+03
## cenCES:cenAge:cenSex               -1.305e-03  5.994e-04  3.455e+03
## cenCES:cenRace:cenSex              -8.198e-03  5.913e-03  1.421e+03
## cenEF:cenAge:cenRace                3.252e-03  2.857e-03  3.253e+03
## cenEF:cenAge:cenSex                 3.864e-03  2.883e-03  3.187e+03
## cenEF:cenRace:cenSex                1.167e-02  2.978e-02  1.418e+03
## cenAge:cenRace:cenSex              -1.112e-02  5.604e-03  3.232e+03
## cenCES:cenEF:cenAge:cenRace        -1.383e-04  2.953e-04  3.550e+03
## cenCES:cenEF:cenAge:cenSex         -3.717e-04  2.661e-04  3.522e+03
## cenCES:cenEF:cenRace:cenSex        -1.221e-03  2.668e-03  1.465e+03
## cenCES:cenAge:cenRace:cenSex       -1.111e-03  5.393e-04  3.300e+03
## cenEF:cenAge:cenRace:cenSex         2.505e-03  2.539e-03  3.227e+03
## cenCES:cenEF:cenAge:cenRace:cenSex -1.612e-04  2.440e-04  3.472e+03
##                                    t value Pr(>|t|)    
## (Intercept)                         68.016   <2e-16 ***
## cenCES                              -0.692   0.4888    
## cenEF                                1.595   0.1109    
## cenAge                               0.197   0.8435    
## cenRace                              1.508   0.1317    
## cenSex                              -1.624   0.1045    
## cenPovStat                          -0.830   0.4069    
## cenEducnum                          -1.578   0.1146    
## cenCES:cenEF                        -0.477   0.6331    
## cenCES:cenAge                       -1.616   0.1062    
## cenCES:cenRace                      -1.555   0.1202    
## cenCES:cenSex                       -0.789   0.4303    
## cenEF:cenAge                         1.409   0.1589    
## cenEF:cenRace                        1.127   0.2599    
## cenEF:cenSex                         0.743   0.4575    
## cenAge:cenRace                      -2.344   0.0191 *  
## cenAge:cenSex                       -1.975   0.0484 *  
## cenRace:cenSex                      -1.591   0.1118    
## cenCES:cenEF:cenAge                 -1.234   0.2174    
## cenCES:cenEF:cenRace                -0.211   0.8328    
## cenCES:cenEF:cenSex                 -0.735   0.4624    
## cenCES:cenAge:cenRace               -1.874   0.0610 .  
## cenCES:cenAge:cenSex                -2.177   0.0296 *  
## cenCES:cenRace:cenSex               -1.386   0.1658    
## cenEF:cenAge:cenRace                 1.138   0.2550    
## cenEF:cenAge:cenSex                  1.340   0.1803    
## cenEF:cenRace:cenSex                 0.392   0.6953    
## cenAge:cenRace:cenSex               -1.985   0.0473 *  
## cenCES:cenEF:cenAge:cenRace         -0.468   0.6396    
## cenCES:cenEF:cenAge:cenSex          -1.397   0.1625    
## cenCES:cenEF:cenRace:cenSex         -0.458   0.6473    
## cenCES:cenAge:cenRace:cenSex        -2.061   0.0394 *  
## cenEF:cenAge:cenRace:cenSex          0.987   0.3239    
## cenCES:cenEF:cenAge:cenRace:cenSex  -0.661   0.5088    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Glucose Analyses

2-way interaction of CES x Age with Glucose - 2-way interaction was significant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: Glucose ~ (CES + cenAge)^2 + cenSex + cenPovStat + cenEducnum +  
##     (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 36609.8
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.3595 -0.3399 -0.0617  0.2418 12.0150 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 192.481  13.874       
##           cenAge        0.284   0.533   1.00
##  Residual             172.501  13.134       
## Number of obs: 4289, groups:  HNDid, 1948
## 
## Fixed effects:
##               Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)  9.709e+01  1.255e+00  2.086e+03  77.389  < 2e-16 ***
## CES          5.647e-02  3.560e-02  1.513e+03   1.586  0.11290    
## cenAge       2.124e-01  5.571e-02  3.041e+03   3.813  0.00014 ***
## cenSex       3.457e+00  7.132e-01  2.000e+03   4.847 1.35e-06 ***
## cenPovStat  -1.135e+00  7.502e-01  2.004e+03  -1.513  0.13047    
## cenEducnum  -3.246e-01  1.451e-01  2.016e+03  -2.237  0.02541 *  
## CES:cenAge   8.214e-03  3.158e-03  3.225e+03   2.601  0.00933 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##            (Intr) CES    cenAge cenSex cnPvSt cnEdcn
## CES        -0.419                                   
## cenAge      0.217 -0.324                            
## cenSex      0.572  0.090 -0.011                     
## cenPovStat  0.663 -0.102  0.035  0.043              
## cenEducnum  0.087  0.159  0.002  0.048  0.244       
## CES:cenAge -0.158  0.433 -0.787  0.009 -0.007  0.009

Plot the interaction effect

##      cenAge            CES             Hat        
##  Min.   :-21.00   Min.   : 3.23   Min.   : 87.31  
##  1st Qu.: -9.25   1st Qu.: 3.23   1st Qu.: 92.52  
##  Median :  2.50   Median :14.54   Median : 96.24  
##  Mean   :  2.50   Mean   :14.54   Mean   : 96.42  
##  3rd Qu.: 14.25   3rd Qu.:25.85   3rd Qu.: 99.99  
##  Max.   : 26.00   Max.   :25.85   Max.   :107.27

3-way interaction of CES x Race x Age with Glucose - 3-way interaction was nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: Glucose ~ (CES + cenAge + cenRace)^3 + cenSex + cenPovStat +  
##     cenEducnum + (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 36621.6
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.3552 -0.3388 -0.0612  0.2380 12.0204 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 192.7170 13.8823      
##           cenAge        0.2825  0.5315  1.00
##  Residual             172.5001 13.1339      
## Number of obs: 4289, groups:  HNDid, 1948
## 
## Fixed effects:
##                      Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)         9.576e+01  1.765e+00  1.840e+03  54.252  < 2e-16 ***
## CES                 1.009e-01  7.957e-02  1.443e+03   1.268   0.2050    
## cenAge              1.009e-01  1.260e-01  3.101e+03   0.801   0.4231    
## cenRace            -1.444e+00  1.283e+00  1.451e+03  -1.126   0.2604    
## cenSex              3.456e+00  7.141e-01  1.994e+03   4.839  1.4e-06 ***
## cenPovStat         -1.022e+00  7.626e-01  2.002e+03  -1.340   0.1802    
## cenEducnum         -3.353e-01  1.457e-01  2.017e+03  -2.302   0.0215 *  
## CES:cenAge          1.534e-02  7.115e-03  3.297e+03   2.156   0.0312 *  
## CES:cenRace         4.483e-02  6.968e-02  1.445e+03   0.643   0.5201    
## cenAge:cenRace     -1.112e-01  1.125e-01  3.005e+03  -0.988   0.3230    
## CES:cenAge:cenRace  7.142e-03  6.399e-03  3.171e+03   1.116   0.2644    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) CES    cenAge cenRac cenSex cnPvSt cnEdcn CES:cA CES:cR
## CES         -0.662                                                        
## cenAge       0.344 -0.335                                                 
## cenRace      0.696 -0.687  0.352                                          
## cenSex       0.417  0.016  0.001  0.011                                   
## cenPovStat   0.422 -0.068  0.037 -0.082  0.045                            
## cenEducnum   0.095  0.035 -0.009  0.051  0.048  0.232                     
## CES:cenAge  -0.280  0.450 -0.789 -0.281 -0.009 -0.034 -0.010              
## CES:cenRace -0.597  0.894 -0.297 -0.779 -0.027 -0.022 -0.041  0.404       
## cenAge:cnRc  0.303 -0.294  0.897  0.386  0.007  0.024 -0.011 -0.708 -0.323
## CES:cnAg:cR -0.249  0.394 -0.703 -0.303 -0.014 -0.035 -0.016  0.896  0.438
##             cnAg:R
## CES               
## cenAge            
## cenRace           
## cenSex            
## cenPovStat        
## cenEducnum        
## CES:cenAge        
## CES:cenRace       
## cenAge:cnRc       
## CES:cnAg:cR -0.786

3-way interaction of CES x Sex x Age with Glucose - 3-way interaction was nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: Glucose ~ (CES + cenAge + cenSex)^3 + cenRace + cenPovStat +  
##     cenEducnum + (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 36620
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.3620 -0.3391 -0.0616  0.2379 12.0168 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 192.4093 13.8712      
##           cenAge        0.2825  0.5316  1.00
##  Residual             172.5356 13.1353      
## Number of obs: 4289, groups:  HNDid, 1948
## 
## Fixed effects:
##                     Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)        9.496e+01  1.809e+00  1.829e+03  52.491   <2e-16 ***
## CES                1.811e-01  8.978e-02  1.475e+03   2.017   0.0439 *  
## cenAge             2.030e-01  1.336e-01  3.221e+03   1.520   0.1286    
## cenSex             2.128e+00  1.288e+00  1.442e+03   1.653   0.0986 .  
## cenRace           -8.165e-01  7.256e-01  2.023e+03  -1.125   0.2606    
## cenPovStat        -9.950e-01  7.619e-01  2.005e+03  -1.306   0.1917    
## cenEducnum        -3.251e-01  1.454e-01  2.017e+03  -2.235   0.0255 *  
## CES:cenAge         1.259e-02  8.233e-03  3.322e+03   1.529   0.1263    
## CES:cenSex         1.114e-01  7.319e-02  1.449e+03   1.522   0.1283    
## cenAge:cenSex     -4.924e-03  1.141e-01  3.091e+03  -0.043   0.9656    
## CES:cenAge:cenSex  3.769e-03  6.706e-03  3.267e+03   0.562   0.5742    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) CES    cenAge cenSex cenRac cnPvSt cnEdcn CES:cA CES:cS
## CES         -0.678                                                        
## cenAge       0.324 -0.325                                                 
## cenSex       0.759 -0.698  0.349                                          
## cenRace      0.323 -0.006  0.007  0.010                                   
## cenPovStat   0.406 -0.047  0.012  0.032 -0.171                            
## cenEducnum   0.060  0.091  0.004  0.006  0.050  0.231                     
## CES:cenAge  -0.261  0.440 -0.803 -0.278 -0.013  0.008  0.008              
## CES:cenSex  -0.623  0.918 -0.305 -0.787 -0.025 -0.005  0.029  0.407       
## cenAge:cnSx  0.292 -0.290  0.908  0.392  0.009 -0.003  0.004 -0.715 -0.327
## CES:cnAg:cS -0.245  0.406 -0.749 -0.313 -0.016  0.011  0.004  0.923  0.442
##             cnAg:S
## CES               
## cenAge            
## cenSex            
## cenRace           
## cenPovStat        
## cenEducnum        
## CES:cenAge        
## CES:cenSex        
## cenAge:cnSx       
## CES:cnAg:cS -0.793

4-way interaction of CES x Race x Sex x Age with Glucose - 4-way interaction was nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: Glucose ~ (CES + cenAge + cenRace + cenSex)^4 + cenPovStat +  
##     cenEducnum + (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 36628.6
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.3077 -0.3381 -0.0629  0.2403 12.0559 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 190.8906 13.816       
##           cenAge        0.2777  0.527   1.00
##  Residual             172.6263 13.139       
## Number of obs: 4289, groups:  HNDid, 1948
## 
## Fixed effects:
##                             Estimate Std. Error         df t value
## (Intercept)                9.524e+01  3.497e+00  1.526e+03  27.235
## CES                       -1.924e-01  2.034e-01  1.452e+03  -0.946
## cenAge                     6.343e-02  3.043e-01  3.318e+03   0.208
## cenRace                   -7.014e-01  2.974e+00  1.468e+03  -0.236
## cenSex                     2.427e+00  2.928e+00  1.438e+03   0.829
## cenPovStat                -9.148e-01  7.627e-01  2.000e+03  -1.199
## cenEducnum                -3.231e-01  1.457e-01  2.015e+03  -2.217
## CES:cenAge                 2.071e-03  1.838e-02  3.454e+03   0.113
## CES:cenRace               -3.742e-01  1.801e-01  1.462e+03  -2.078
## CES:cenSex                -2.436e-01  1.667e-01  1.441e+03  -1.461
## cenAge:cenRace            -1.231e-01  2.688e-01  3.187e+03  -0.458
## cenAge:cenSex             -5.820e-02  2.585e-01  3.177e+03  -0.225
## cenRace:cenSex             2.018e-01  2.587e+00  1.448e+03   0.078
## CES:cenAge:cenRace        -1.217e-02  1.681e-02  3.225e+03  -0.724
## CES:cenAge:cenSex         -1.069e-02  1.503e-02  3.375e+03  -0.712
## CES:cenRace:cenSex        -3.507e-01  1.474e-01  1.453e+03  -2.379
## cenAge:cenRace:cenSex     -4.424e-02  2.302e-01  3.059e+03  -0.192
## CES:cenAge:cenRace:cenSex -1.528e-02  1.366e-02  3.189e+03  -1.119
##                           Pr(>|t|)    
## (Intercept)                 <2e-16 ***
## CES                         0.3442    
## cenAge                      0.8349    
## cenRace                     0.8136    
## cenSex                      0.4073    
## cenPovStat                  0.2305    
## cenEducnum                  0.0267 *  
## CES:cenAge                  0.9103    
## CES:cenRace                 0.0379 *  
## CES:cenSex                  0.1441    
## cenAge:cenRace              0.6469    
## cenAge:cenSex               0.8219    
## cenRace:cenSex              0.9378    
## CES:cenAge:cenRace          0.4693    
## CES:cenAge:cenSex           0.4768    
## CES:cenRace:cenSex          0.0175 *  
## cenAge:cenRace:cenSex       0.8476    
## CES:cenAge:cenRace:cenSex   0.2634    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

2-way interaction of EF x Age with Glucose - 2-way interaction was nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## Glucose ~ (EF + cenAge)^3 + cenRace + cenSex + cenPovStat + cenEducnum +  
##     (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 35430.3
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.4336 -0.3393 -0.0621  0.2375 12.0699 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 194.7609 13.9557      
##           cenAge        0.2791  0.5283  1.00
##  Residual             170.0685 13.0410      
## Number of obs: 4155, groups:  HNDid, 1885
## 
## Fixed effects:
##               Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)  9.717e+01  1.321e+00  1.966e+03  73.555  < 2e-16 ***
## EF           3.501e-03  2.075e-01  1.660e+03   0.017   0.9865    
## cenAge       3.249e-01  3.580e-02  3.114e+03   9.076  < 2e-16 ***
## cenRace     -7.855e-01  7.726e-01  1.925e+03  -1.017   0.3094    
## cenSex       3.370e+00  7.235e-01  1.923e+03   4.658 3.41e-06 ***
## cenPovStat  -8.856e-01  7.749e-01  1.933e+03  -1.143   0.2532    
## cenEducnum  -3.491e-01  1.548e-01  1.938e+03  -2.255   0.0243 *  
## EF:cenAge   -6.458e-03  1.606e-02  3.024e+03  -0.402   0.6877    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##            (Intr) EF     cenAge cenRac cenSex cnPvSt cnEdcn
## EF          0.154                                          
## cenAge      0.187  0.086                                   
## cenRace     0.471  0.260  0.052                            
## cenSex      0.583 -0.019 -0.004 -0.028                     
## cenPovStat  0.533  0.066  0.067 -0.145  0.060              
## cenEducnum  0.106 -0.314 -0.041 -0.053  0.034  0.214       
## EF:cenAge   0.006  0.437 -0.148  0.003 -0.011 -0.010 -0.031

3-way interaction of EF x Race x Age with Glucose - 3-way interaction was nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## Glucose ~ (EF + cenAge + cenRace)^3 + cenSex + cenPovStat + cenEducnum +  
##     (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 35434.8
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.4139 -0.3399 -0.0604  0.2366 12.0902 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 194.4265 13.9437      
##           cenAge        0.2796  0.5288  1.00
##  Residual             170.1283 13.0433      
## Number of obs: 4155, groups:  HNDid, 1885
## 
## Fixed effects:
##                     Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)        9.695e+01  1.374e+00  1.946e+03  70.581  < 2e-16 ***
## EF                 7.352e-01  4.642e-01  1.422e+03   1.584 0.113445    
## cenAge             3.132e-01  8.198e-02  3.132e+03   3.821 0.000136 ***
## cenRace           -1.242e+00  8.689e-01  1.455e+03  -1.430 0.153065    
## cenSex             3.362e+00  7.231e-01  1.919e+03   4.649 3.56e-06 ***
## cenPovStat        -8.588e-01  7.745e-01  1.929e+03  -1.109 0.267618    
## cenEducnum        -3.006e-01  1.566e-01  1.935e+03  -1.920 0.055021 .  
## EF:cenAge         -3.639e-03  3.948e-02  2.993e+03  -0.092 0.926572    
## EF:cenRace         7.177e-01  3.978e-01  1.430e+03   1.804 0.071388 .  
## cenAge:cenRace    -1.379e-02  7.785e-02  3.093e+03  -0.177 0.859448    
## EF:cenAge:cenRace  4.896e-03  3.424e-02  3.068e+03   0.143 0.886321    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) EF     cenAge cenRac cenSex cnPvSt cnEdcn EF:cnA EF:cnR
## EF           0.090                                                        
## cenAge       0.308  0.155                                                 
## cenRace      0.522  0.006  0.372                                          
## cenSex       0.558 -0.016 -0.012 -0.028                                   
## cenPovStat   0.510  0.043  0.024 -0.135  0.060                            
## cenEducnum   0.086 -0.021 -0.039 -0.091  0.033  0.214                     
## EF:cenAge    0.100  0.473  0.052  0.087 -0.006 -0.001 -0.008              
## EF:cenRace   0.006  0.892  0.087 -0.142 -0.008  0.016  0.135  0.427       
## cenAge:cnRc  0.240  0.084  0.889  0.378 -0.011 -0.006 -0.025 -0.054  0.021
## EF:cnAg:cnR  0.064  0.423 -0.060  0.026 -0.001  0.004  0.012  0.901  0.470
##             cnAg:R
## EF                
## cenAge            
## cenRace           
## cenSex            
## cenPovStat        
## cenEducnum        
## EF:cenAge         
## EF:cenRace        
## cenAge:cnRc       
## EF:cnAg:cnR -0.220

3-way interaction of EF x Sex x Age with Glucose - 3-way interaction was nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## Glucose ~ (EF + cenAge + cenSex)^3 + cenRace + cenPovStat + cenEducnum +  
##     (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 35437.5
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.4195 -0.3367 -0.0637  0.2373 12.0781 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 194.9297 13.962       
##           cenAge        0.2788  0.528   1.00
##  Residual             170.0796 13.041       
## Number of obs: 4155, groups:  HNDid, 1885
## 
## Fixed effects:
##                    Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)       9.714e+01  1.375e+00  1.935e+03  70.637  < 2e-16 ***
## EF                4.494e-01  4.264e-01  1.454e+03   1.054   0.2921    
## cenAge            3.295e-01  8.201e-02  3.166e+03   4.018 6.02e-05 ***
## cenSex            3.369e+00  8.110e-01  1.421e+03   4.155 3.45e-05 ***
## cenRace          -8.038e-01  7.736e-01  1.926e+03  -1.039   0.2989    
## cenPovStat       -8.963e-01  7.759e-01  1.935e+03  -1.155   0.2482    
## cenEducnum       -3.509e-01  1.550e-01  1.936e+03  -2.264   0.0237 *  
## EF:cenAge         2.787e-02  3.609e-02  3.094e+03   0.772   0.4399    
## EF:cenSex         4.465e-01  3.752e-01  1.398e+03   1.190   0.2342    
## cenAge:cenSex     4.186e-03  7.176e-02  3.105e+03   0.058   0.9535    
## EF:cenAge:cenSex  3.414e-02  3.222e-02  3.031e+03   1.060   0.2893    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) EF     cenAge cenSex cenRac cnPvSt cnEdcn EF:cnA EF:cnS
## EF           0.012                                                        
## cenAge       0.299  0.052                                                 
## cenSex       0.624 -0.084  0.359                                          
## cenRace      0.453  0.099  0.008 -0.024                                   
## cenPovStat   0.512  0.037  0.047  0.055 -0.146                            
## cenEducnum   0.100 -0.146 -0.009  0.027 -0.054  0.215                     
## EF:cenAge    0.016  0.476 -0.135  0.040  0.009 -0.033 -0.041              
## EF:cenSex   -0.069  0.873  0.042 -0.088 -0.032  0.006  0.008  0.426       
## cenAge:cnSx  0.243  0.041  0.900  0.398 -0.017  0.021  0.011 -0.126  0.051
## EF:cnAg:cnS  0.014  0.424 -0.124  0.047  0.009 -0.032 -0.030  0.895  0.473
##             cnAg:S
## EF                
## cenAge            
## cenSex            
## cenRace           
## cenPovStat        
## cenEducnum        
## EF:cenAge         
## EF:cenSex         
## cenAge:cnSx       
## EF:cnAg:cnS -0.147

4-way interaction of EF x Race x Sex x Age with Glucose - 4-way interaction was nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## Glucose ~ (EF + cenAge + cenRace + cenSex)^4 + cenPovStat + cenEducnum +  
##     (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 35436.1
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.3715 -0.3364 -0.0629  0.2429 12.1226 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 193.952  13.9267      
##           cenAge        0.278   0.5273  1.00
##  Residual             170.174  13.0451      
## Number of obs: 4155, groups:  HNDid, 1885
## 
## Fixed effects:
##                            Estimate Std. Error         df t value Pr(>|t|)
## (Intercept)               9.234e+01  2.228e+00  1.524e+03  41.454  < 2e-16
## EF                        1.399e+00  1.017e+00  1.412e+03   1.376  0.16902
## cenAge                    1.330e-01  1.865e-01  3.175e+03   0.713  0.47583
## cenRace                  -6.102e+00  1.976e+00  1.451e+03  -3.088  0.00205
## cenSex                   -1.105e+00  1.874e+00  1.402e+03  -0.590  0.55550
## cenPovStat               -8.580e-01  7.750e-01  1.926e+03  -1.107  0.26837
## cenEducnum               -3.116e-01  1.567e-01  1.932e+03  -1.989  0.04686
## EF:cenAge                 1.807e-02  8.642e-02  3.067e+03   0.209  0.83442
## EF:cenRace                1.234e+00  8.758e-01  1.416e+03   1.409  0.15911
## EF:cenSex                 6.501e-01  9.271e-01  1.417e+03   0.701  0.48325
## cenAge:cenRace           -1.946e-01  1.766e-01  3.082e+03  -1.102  0.27071
## cenAge:cenSex            -1.742e-01  1.646e-01  3.129e+03  -1.058  0.28992
## cenRace:cenSex           -4.699e+00  1.730e+00  1.435e+03  -2.716  0.00669
## EF:cenAge:cenRace         4.287e-03  7.591e-02  3.058e+03   0.056  0.95497
## EF:cenAge:cenSex          2.144e-02  7.901e-02  2.986e+03   0.271  0.78612
## EF:cenRace:cenSex         5.114e-01  7.891e-01  1.410e+03   0.648  0.51704
## cenAge:cenRace:cenSex    -1.736e-01  1.564e-01  3.097e+03  -1.110  0.26718
## EF:cenAge:cenRace:cenSex -3.501e-05  6.861e-02  3.056e+03  -0.001  0.99959
##                             
## (Intercept)              ***
## EF                          
## cenAge                      
## cenRace                  ** 
## cenSex                      
## cenPovStat                  
## cenEducnum               *  
## EF:cenAge                   
## EF:cenRace                  
## EF:cenSex                   
## cenAge:cenRace              
## cenAge:cenSex               
## cenRace:cenSex           ** 
## EF:cenAge:cenRace           
## EF:cenAge:cenSex            
## EF:cenRace:cenSex           
## cenAge:cenRace:cenSex       
## EF:cenAge:cenRace:cenSex    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

4-way interaction of CES x EF x Race x Age with Glucose - 4-way interaction was nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## Glucose ~ (CES + EF + cenAge + cenRace)^4 + cenSex + cenPovStat +  
##     cenEducnum + (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 35427.7
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.4142 -0.3418 -0.0621  0.2410 12.0778 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 194.2526 13.937       
##           cenAge        0.2756  0.525   1.00
##  Residual             170.3170 13.051       
## Number of obs: 4148, groups:  HNDid, 1882
## 
## Fixed effects:
##                         Estimate Std. Error         df t value Pr(>|t|)
## (Intercept)            9.568e+01  1.859e+00  1.797e+03  51.473  < 2e-16
## CES                    9.259e-02  8.703e-02  1.424e+03   1.064   0.2876
## EF                     1.196e+00  7.483e-01  1.444e+03   1.598   0.1102
## cenAge                 1.657e-01  1.357e-01  3.069e+03   1.221   0.2223
## cenRace               -1.739e+00  1.452e+00  1.490e+03  -1.197   0.2314
## cenSex                 3.397e+00  7.285e-01  1.915e+03   4.663 3.34e-06
## cenPovStat            -9.397e-01  7.819e-01  1.921e+03  -1.202   0.2296
## cenEducnum            -2.914e-01  1.584e-01  1.944e+03  -1.840   0.0659
## CES:EF                -2.529e-02  4.054e-02  1.458e+03  -0.624   0.5328
## CES:cenAge             1.135e-02  7.777e-03  3.159e+03   1.460   0.1444
## CES:cenRace            4.221e-02  7.637e-02  1.448e+03   0.553   0.5806
## EF:cenAge              8.927e-03  6.357e-02  2.956e+03   0.140   0.8883
## EF:cenRace             8.416e-01  6.466e-01  1.446e+03   1.302   0.1933
## cenAge:cenRace        -3.410e-02  1.337e-01  3.031e+03  -0.255   0.7987
## CES:EF:cenAge         -2.705e-05  3.540e-03  3.153e+03  -0.008   0.9939
## CES:EF:cenRace        -3.749e-03  3.532e-02  1.459e+03  -0.106   0.9155
## CES:cenAge:cenRace     2.840e-03  7.263e-03  3.137e+03   0.391   0.6958
## EF:cenAge:cenRace     -1.584e-02  5.654e-02  3.026e+03  -0.280   0.7794
## CES:EF:cenAge:cenRace  1.933e-03  3.252e-03  3.184e+03   0.594   0.5523
##                          
## (Intercept)           ***
## CES                      
## EF                       
## cenAge                   
## cenRace                  
## cenSex                ***
## cenPovStat               
## cenEducnum            .  
## CES:EF                   
## CES:cenAge               
## CES:cenRace              
## EF:cenAge                
## EF:cenRace               
## cenAge:cenRace           
## CES:EF:cenAge            
## CES:EF:cenRace           
## CES:cenAge:cenRace       
## EF:cenAge:cenRace        
## CES:EF:cenAge:cenRace    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

4-way interaction of CES x EF x Sex x Age with Glucose - 4-way interaction was nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## Glucose ~ (CES + EF + cenAge + cenSex)^4 + cenRace + cenPovStat +  
##     cenEducnum + (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 35428.1
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.4192 -0.3383 -0.0632  0.2425 12.0656 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 194.0934 13.9317      
##           cenAge        0.2732  0.5227  1.00
##  Residual             170.3709 13.0526      
## Number of obs: 4148, groups:  HNDid, 1882
## 
## Fixed effects:
##                        Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)           9.472e+01  1.881e+00  1.776e+03  50.366   <2e-16 ***
## CES                   1.762e-01  9.328e-02  1.438e+03   1.889   0.0591 .  
## EF                    9.583e-01  6.837e-01  1.463e+03   1.402   0.1612    
## cenAge                1.466e-01  1.431e-01  3.258e+03   1.025   0.3057    
## cenSex                1.851e+00  1.355e+00  1.462e+03   1.366   0.1723    
## cenRace              -7.614e-01  7.780e-01  1.918e+03  -0.979   0.3279    
## cenPovStat           -9.717e-01  7.821e-01  1.925e+03  -1.242   0.2143    
## cenEducnum           -3.316e-01  1.569e-01  1.944e+03  -2.114   0.0347 *  
## CES:EF               -2.955e-02  4.113e-02  1.436e+03  -0.718   0.4726    
## CES:cenAge            1.308e-02  8.647e-03  3.290e+03   1.513   0.1304    
## CES:cenSex            1.122e-01  7.608e-02  1.420e+03   1.474   0.1406    
## EF:cenAge             1.057e-01  5.989e-02  3.181e+03   1.765   0.0777 .  
## EF:cenSex             6.536e-01  6.078e-01  1.422e+03   1.075   0.2824    
## cenAge:cenSex        -4.783e-02  1.219e-01  3.107e+03  -0.392   0.6948    
## CES:EF:cenAge        -5.602e-03  3.859e-03  3.226e+03  -1.452   0.1467    
## CES:EF:cenSex        -9.997e-03  3.453e-02  1.441e+03  -0.289   0.7722    
## CES:cenAge:cenSex     4.434e-03  6.997e-03  3.205e+03   0.634   0.5263    
## EF:cenAge:cenSex      7.253e-02  5.256e-02  3.022e+03   1.380   0.1677    
## CES:EF:cenAge:cenSex -3.061e-03  3.152e-03  3.171e+03  -0.971   0.3315    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

5-way interaction of EF x Race x Sex x Age with Glucose - 5-way interaction was nonsignificant

## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## Glucose ~ (cenCES + cenEF + cenAge + cenRace + cenSex)^5 + cenPovStat +  
##     cenEducnum + (cenAge | HNDid)
##    Data: Tasneem_1a
## Control: lmerControl(check.nobs.vs.nRE = "ignore")
## 
## REML criterion at convergence: 35465.1
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -6.3489 -0.3407 -0.0647  0.2400 12.1072 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 192.3613 13.8694      
##           cenAge        0.2675  0.5172  1.00
##  Residual             170.7436 13.0669      
## Number of obs: 4148, groups:  HNDid, 1882
## 
## Fixed effects:
##                                      Estimate Std. Error         df
## (Intercept)                         9.222e+01  2.343e+00  1.504e+03
## cenCES                             -2.847e-01  2.271e-01  1.420e+03
## cenEF                               1.099e+00  1.047e+00  1.414e+03
## cenAge                              1.105e-01  1.966e-01  3.242e+03
## cenRace                            -6.274e+00  2.025e+00  1.449e+03
## cenSex                             -1.333e+00  1.979e+00  1.401e+03
## cenPovStat                         -8.764e-01  7.839e-01  1.913e+03
## cenEducnum                         -2.830e-01  1.591e-01  1.938e+03
## cenCES:cenEF                       -6.943e-02  1.005e-01  1.488e+03
## cenCES:cenAge                      -1.354e-02  2.047e-02  3.464e+03
## cenCES:cenRace                     -4.263e-01  1.945e-01  1.436e+03
## cenCES:cenSex                      -3.179e-01  1.881e-01  1.410e+03
## cenEF:cenAge                        2.555e-02  8.987e-02  3.121e+03
## cenEF:cenRace                       9.129e-01  9.063e-01  1.420e+03
## cenEF:cenSex                        3.158e-01  9.551e-01  1.441e+03
## cenAge:cenRace                     -2.303e-01  1.796e-01  3.107e+03
## cenAge:cenSex                      -1.997e-01  1.725e-01  3.154e+03
## cenRace:cenSex                     -4.885e+00  1.774e+00  1.433e+03
## cenCES:cenEF:cenAge                -3.597e-04  9.177e-03  3.448e+03
## cenCES:cenEF:cenRace               -7.836e-03  8.578e-02  1.505e+03
## cenCES:cenEF:cenSex                -4.262e-02  8.456e-02  1.495e+03
## cenCES:cenAge:cenRace              -2.752e-02  1.852e-02  3.217e+03
## cenCES:cenAge:cenSex               -2.162e-02  1.686e-02  3.300e+03
## cenCES:cenRace:cenSex              -3.992e-01  1.612e-01  1.435e+03
## cenEF:cenAge:cenRace                1.965e-02  8.103e-02  3.076e+03
## cenEF:cenAge:cenSex                 1.560e-02  8.147e-02  3.011e+03
## cenEF:cenRace:cenSex                1.586e-01  8.155e-01  1.425e+03
## cenAge:cenRace:cenSex              -2.112e-01  1.582e-01  3.066e+03
## cenCES:cenEF:cenAge:cenRace         6.839e-03  8.408e-03  3.410e+03
## cenCES:cenEF:cenAge:cenSex         -6.145e-04  7.548e-03  3.346e+03
## cenCES:cenEF:cenRace:cenSex        -3.303e-03  7.297e-02  1.488e+03
## cenCES:cenAge:cenRace:cenSex       -2.622e-02  1.520e-02  3.152e+03
## cenEF:cenAge:cenRace:cenSex         3.151e-03  7.191e-02  3.053e+03
## cenCES:cenEF:cenAge:cenRace:cenSex  4.173e-03  6.926e-03  3.310e+03
##                                    t value Pr(>|t|)    
## (Intercept)                         39.357  < 2e-16 ***
## cenCES                              -1.254  0.21008    
## cenEF                                1.050  0.29404    
## cenAge                               0.562  0.57405    
## cenRace                             -3.098  0.00198 ** 
## cenSex                              -0.673  0.50077    
## cenPovStat                          -1.118  0.26371    
## cenEducnum                          -1.778  0.07550 .  
## cenCES:cenEF                        -0.691  0.48963    
## cenCES:cenAge                       -0.662  0.50831    
## cenCES:cenRace                      -2.191  0.02858 *  
## cenCES:cenSex                       -1.691  0.09114 .  
## cenEF:cenAge                         0.284  0.77622    
## cenEF:cenRace                        1.007  0.31397    
## cenEF:cenSex                         0.331  0.74098    
## cenAge:cenRace                      -1.283  0.19972    
## cenAge:cenSex                       -1.158  0.24710    
## cenRace:cenSex                      -2.754  0.00596 ** 
## cenCES:cenEF:cenAge                 -0.039  0.96874    
## cenCES:cenEF:cenRace                -0.091  0.92723    
## cenCES:cenEF:cenSex                 -0.504  0.61436    
## cenCES:cenAge:cenRace               -1.486  0.13735    
## cenCES:cenAge:cenSex                -1.282  0.19986    
## cenCES:cenRace:cenSex               -2.476  0.01339 *  
## cenEF:cenAge:cenRace                 0.243  0.80838    
## cenEF:cenAge:cenSex                  0.191  0.84817    
## cenEF:cenRace:cenSex                 0.194  0.84587    
## cenAge:cenRace:cenSex               -1.335  0.18196    
## cenCES:cenEF:cenAge:cenRace          0.813  0.41604    
## cenCES:cenEF:cenAge:cenSex          -0.081  0.93512    
## cenCES:cenEF:cenRace:cenSex         -0.045  0.96390    
## cenCES:cenAge:cenRace:cenSex        -1.725  0.08469 .  
## cenEF:cenAge:cenRace:cenSex          0.044  0.96505    
## cenCES:cenEF:cenAge:cenRace:cenSex   0.603  0.54686    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1