New analyses with age as a random effect

## boundary (singular) fit: see ?isSingular
## Warning: Model failed to converge with 1 negative eigenvalue: -9.9e+01
## boundary (singular) fit: see ?isSingular
## Warning in checkConv(attr(opt, "derivs"), opt$par, ctrl =
## control$checkConv, : Model failed to converge with max|grad| = 0.00455748
## (tol = 0.002, component 1)
##             DigitSpanFwd_valid DigitSpanBck_valid LogTrailsA LogTrailsB
## (Intercept)            7.20***            5.54***    3.52***    4.73***
## cenAge                -0.20***           -0.20***    0.13***    0.20***
##             FluencyWord_valid BVRtot_valid   LogBVR CVLtca_valid
## (Intercept)          18.85***      7.60***  1.90***     21.76***
## cenAge               -0.50***      1.82***  0.25***     -2.56***
##             CVLfrl_valid CVLfrs_valid Attention_valid
## (Intercept)      6.36***      6.30***         6.49***
## cenAge          -1.14***     -1.15***        -0.28***
## 
## 
## *********************** DigitSpanFwd_valid ***********************
## 
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: as.formula(merForm)
##    Data: dat
## Control: ..1
## 
## REML criterion at convergence: 17000
## 
## Scaled residuals: 
##      Min       1Q   Median       3Q      Max 
## -2.27101 -0.47468 -0.07057  0.43131  2.87458 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr 
##  HNDid    (Intercept) 3.324307 1.82327       
##           cenAge      0.003145 0.05608  -1.00
##  Residual             1.507108 1.22764       
## Number of obs: 4060, groups:  HNDid, 2630
## 
## Fixed effects:
##               Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)    7.20007    0.04096 2573.87120 175.803  < 2e-16 ***
## cenAge        -0.19775    0.04033 3501.45636  -4.903 9.85e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##        (Intr)
## cenAge -0.092
## convergence code: 0
## boundary (singular) fit: see ?isSingular
## 
## 
## 
## *********************** DigitSpanBck_valid ***********************
## 
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: as.formula(merForm)
##    Data: dat
## Control: ..1
## 
## REML criterion at convergence: 16824.9
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.2970 -0.4151 -0.0695  0.4215  3.8958 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr 
##  HNDid    (Intercept) 3.0870   1.7570        
##           cenAge      0.1802   0.4245   -0.25
##  Residual             1.4872   1.2195        
## Number of obs: 4035, groups:  HNDid, 2620
## 
## Fixed effects:
##               Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)    5.53515    0.04057 2517.68699 136.448   <2e-16 ***
## cenAge        -0.20071    0.04086 1420.85383  -4.913    1e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##        (Intr)
## cenAge -0.127
## 
## 
## *********************** LogTrailsA ***********************
## 
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: as.formula(merForm)
##    Data: dat
## Control: ..1
## 
## REML criterion at convergence: 4739.5
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.8326 -0.4301 -0.0601  0.3454  7.1800 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 0.09705  0.3115       
##           cenAge      0.01726  0.1314   0.52
##  Residual             0.09110  0.3018       
## Number of obs: 4273, groups:  HNDid, 2674
## 
## Fixed effects:
##              Estimate Std. Error        df t value Pr(>|t|)    
## (Intercept) 3.519e+00  7.968e-03 2.471e+03  441.66   <2e-16 ***
## cenAge      1.327e-01  8.337e-03 1.366e+03   15.91   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##        (Intr)
## cenAge 0.147 
## 
## 
## *********************** LogTrailsB ***********************
## 
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: as.formula(merForm)
##    Data: dat
## Control: ..1
## 
## REML criterion at convergence: 8577.3
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.2003 -0.4147 -0.1014  0.3382  3.3586 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 0.411170 0.64123      
##           cenAge      0.004659 0.06826  0.81
##  Residual             0.160225 0.40028      
## Number of obs: 4259, groups:  HNDid, 2667
## 
## Fixed effects:
##              Estimate Std. Error        df t value Pr(>|t|)    
## (Intercept) 4.727e+00  1.400e-02 2.629e+03  337.69   <2e-16 ***
## cenAge      2.050e-01  1.353e-02 1.498e+03   15.15   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##        (Intr)
## cenAge 0.067 
## 
## 
## *********************** FluencyWord_valid ***********************
## 
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: as.formula(merForm)
##    Data: dat
## Control: ..1
## 
## REML criterion at convergence: 25553.6
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.1691 -0.5005 -0.0384  0.4437  3.0079 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr 
##  HNDid    (Intercept) 19.4902  4.4148        
##           cenAge       0.1065  0.3263   -1.00
##  Residual              8.9769  2.9962        
## Number of obs: 4299, groups:  HNDid, 2683
## 
## Fixed effects:
##               Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)   18.84861    0.09828 2584.40370 191.793  < 2e-16 ***
## cenAge        -0.50355    0.09595 3669.32017  -5.248 1.62e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##        (Intr)
## cenAge -0.167
## 
## 
## *********************** BVRtot_valid ***********************
## 
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: as.formula(merForm)
##    Data: dat
## Control: ..1
## 
## REML criterion at convergence: 24882.9
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.9305 -0.4839 -0.0672  0.4407  4.5772 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 14.23850 3.7734       
##           cenAge       0.08383 0.2895   1.00
##  Residual             10.75782 3.2799       
## Number of obs: 4206, groups:  HNDid, 2656
## 
## Fixed effects:
##              Estimate Std. Error        df t value Pr(>|t|)    
## (Intercept) 7.596e+00  9.014e-02 2.534e+03   84.28   <2e-16 ***
## cenAge      1.818e+00  9.101e-02 3.246e+03   19.98   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##        (Intr)
## cenAge 0.037 
## 
## 
## *********************** LogBVR ***********************
## 
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: as.formula(merForm)
##    Data: dat
## Control: ..1
## 
## REML criterion at convergence: 9260.2
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.2326 -0.3381  0.1456  0.5298  2.4517 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr 
##  HNDid    (Intercept) 0.2277   0.47713       
##           cenAge      0.0094   0.09696  -1.00
##  Residual             0.3394   0.58261       
## Number of obs: 4206, groups:  HNDid, 2656
## 
## Fixed effects:
##              Estimate Std. Error        df t value Pr(>|t|)    
## (Intercept) 1.903e+00  1.327e-02 2.230e+03  143.45   <2e-16 ***
## cenAge      2.466e-01  1.364e-02 3.046e+03   18.07   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##        (Intr)
## cenAge -0.244
## convergence code: 0
## boundary (singular) fit: see ?isSingular
## 
## 
## 
## *********************** CVLtca_valid ***********************
## 
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: as.formula(merForm)
##    Data: dat
## Control: ..1
## 
## REML criterion at convergence: 24987
## 
## Scaled residuals: 
##      Min       1Q   Median       3Q      Max 
## -2.70678 -0.54027 -0.00386  0.54873  2.42110 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr 
##  HNDid    (Intercept) 24.8225  4.9822        
##           cenAge       0.2885  0.5371   -0.45
##  Residual             24.5924  4.9591        
## Number of obs: 3761, groups:  HNDid, 2526
## 
## Fixed effects:
##              Estimate Std. Error        df t value Pr(>|t|)    
## (Intercept)   21.7575     0.1308 2282.0676  166.35   <2e-16 ***
## cenAge        -2.5637     0.1347 1294.8635  -19.03   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##        (Intr)
## cenAge -0.131
## 
## 
## *********************** CVLfrl_valid ***********************
## 
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: as.formula(merForm)
##    Data: dat
## Control: ..1
## 
## REML criterion at convergence: 18346.6
## 
## Scaled residuals: 
##      Min       1Q   Median       3Q      Max 
## -2.63009 -0.53029 -0.02362  0.51556  2.46424 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr 
##  HNDid    (Intercept) 5.444922 2.33344       
##           cenAge      0.007234 0.08505  -1.00
##  Residual             4.188388 2.04656       
## Number of obs: 3686, groups:  HNDid, 2491
## 
## Fixed effects:
##              Estimate Std. Error        df t value Pr(>|t|)    
## (Intercept)    6.3616     0.0587 2292.5111  108.38   <2e-16 ***
## cenAge        -1.1364     0.0599 2948.3400  -18.97   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##        (Intr)
## cenAge -0.119
## 
## 
## *********************** CVLfrs_valid ***********************
## 
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: as.formula(merForm)
##    Data: dat
## Control: ..1
## 
## REML criterion at convergence: 18344.7
## 
## Scaled residuals: 
##      Min       1Q   Median       3Q      Max 
## -2.63895 -0.53852 -0.01721  0.50775  2.48856 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr 
##  HNDid    (Intercept) 5.1394   2.2670        
##           cenAge      0.1258   0.3547   -0.22
##  Residual             4.1682   2.0416        
## Number of obs: 3699, groups:  HNDid, 2499
## 
## Fixed effects:
##               Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)    6.29953    0.05781 2311.67180  108.97   <2e-16 ***
## cenAge        -1.15037    0.05952 1293.72030  -19.33   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##        (Intr)
## cenAge -0.114
## convergence code: 0
## Model failed to converge with max|grad| = 0.00455748 (tol = 0.002, component 1)
## 
## 
## 
## *********************** Attention_valid ***********************
## 
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: as.formula(merForm)
##    Data: dat
## Control: ..1
## 
## REML criterion at convergence: 15891.9
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.2013 -0.5029  0.0275  0.5181  3.0115 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev. Corr
##  HNDid    (Intercept) 2.6248   1.6201       
##           cenAge      0.1594   0.3992   0.16
##  Residual             1.9930   1.4117       
## Number of obs: 3725, groups:  HNDid, 2487
## 
## Fixed effects:
##               Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)    6.48694    0.04112 2401.64948 157.774  < 2e-16 ***
## cenAge        -0.27837    0.04235 1399.01461  -6.573 6.93e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##        (Intr)
## cenAge -0.028