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. Author manuscript; available in PMC: 2016 Oct 1.
Published in final edited form as: Int J Geriatr Psychiatry. 2015 Feb 20;30(10):1076–1084. doi: 10.1002/gps.4264

Table 2.

Multilevel Models Predicting Cognitive Functioning from Depression.

Predictor Variable Concurrent Model
Lagged Model
Fixed Effects
B SE df t B SE df t
Within-person (Level 1)
 Linear Time 2.45 2.24 845.67 1.09 13.56 6.69 179.49 2.03*
 Quadratic Time 0.51 0.24 163.42 2.14* −0.67 0.62 116.86 −1.08
 Age × Linear Time −0.03 0.03 854.69 −1.02 −0.19 0.09 184.60 −2.01*
 Age × Quadratic −0.01 0.003 167.38 −2.32* 0.01 0.01 119.47 1.08
 Depression −0.11 0.03 152.13 −3.41** 0.02 0.10 23.55 0.19
Between-person (Level 2)
 Age −0.31 0.10 484.10 −3.03** −0.07 0.24 317.83 −0.28
 Sex 0.93 1.26 273.00 0.74 1.50 1.81 80.21 0.83
 Education 1.54 0.23 284.66 6.65*** 1.34 0.39 96.10 3.43***
 Depression −0.37 0.10 293.53 −3.77*** −0.40 0.17 79.80 −2.31*
Random Effects
Covariance parameter estimate B SE Z B SE Z
Within-person
 Linear Time .85 .27 3.17** .22 .21 1.03
 Quadratic Time .003 .002 1.55 .000a .000 a ---
 Depression .04 .02 2.38* .23 .18 1.30
Within Pseudo R2 43% Within Pseudo R2 50%
Between Pseudo R2 40% Between Pseudo R2 49%

Note: Cognitive functioning is operationalized as cognitive test performance. Between-person depression refers to person-mean level of the MADRS (i.e., average level of depression over the entire study period); In the Concurrent Model within-person depression refers to person-centered level of the MADRS (i.e., annual deviations in depression centered around person-mean level of depression); In the Lagged Model within-person depression refers to lagged person-centered level of the MADRS (i.e., previous year annual deviations in depression centered around person-mean level of depression).

a

Variance too small to be estimated. The final Hessian matrix is not positive definite although all convergence criteria are satisfied. The test statistic and confidence interval cannot be computed.

***

Predictor is significant at .001 level;

**

Predictor is significant at the .01 level;

*

Predictor is significant at the .05 level.