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. 2021 Oct 6;62(3):425–435. doi: 10.1093/geront/gnab149

Table 3.

Asymmetric Within-Between Random Effects Model of Internet Use and Cognitive Functioning by Birth Cohorts

Variables Model 2A: Main effects Model 2B: Moderation effects
Earlier-borna Later-bornb Diff Earlier-borna Later-bornb Diff
b (SE) b (SE) p b (SE) b (SE) p
Fixed effects
 Intercept 21.81*** (0.74) 31.07*** (4.21) .029 21.72*** (0.75) 31.09*** (4.22) .027
 Internet use: Transition inc 0.43*** (0.07) 0.15 (0.19) .14 −0.14 (0.11) −0.05 (0.38) .81
  Internet use: Transition inc × Timed 0.18*** (0.03) 0.09 (0.15) .56
 Internet use: Transition oute −0.43*** (0.07) −0.02 (0.18) .039 0.39** (0.12) 0.02 (0.34) .32
  Internet use: Transition oute × Timed −0.24*** (0.03) −0.03 (0.14) .16
 Timed −0.69*** (0.01) −0.27*** (0.03) .000 −0.68*** (0.01) −0.27*** (0.03) .000
Covariates (WP; Level 1)
 Married 0.05 (0.07) 0.37 (0.19) .11 0.04 (0.07) 0.37 (0.19) .11
 Household incomef 0.10*** (0.02) 0.04 (0.04) .24 0.10*** (0.02) 0.04 (0.04) .24
 Depressive symptomsg −0.03** (0.01) 0.01 (0.03) .16 −0.03** (0.01) 0.01 (0.03) .16
 Health conditionsh −0.13*** (0.03) −0.14 (0.08) .87 −0.12*** (0.03) −0.14 (0.08) .84
 Activities of daily livingi −0.49*** (0.03) −0.22** (0.08) .001 −0.49*** (0.03) −0.22** (0.08) .001
 Self-rated memoryj 0.17*** (0.02) 0.23*** (0.07) .40 0.17*** (0.02) 0.23*** (0.07) .40
Covariates (BP; Level 2)
 Age at baseline −0.18*** (0.01) −0.22*** (0.06) .55 −0.18*** (0.01) −0.22*** (0.06) .54
 Female 0.75*** (0.07) 1.06*** (0.10) .012 0.75*** (0.07) 1.07*** (0.10) .010
 Minorityk −2.20*** (0.08) −1.93*** (0.12) .07 − 2.20*** (0.08) −1.93*** (0.12) .06
 Education (ref. high school graduation)
  Less than high school −2.16*** (0.08) −2.30*** (0.17) .46 −2.15*** (0.08) −2.30*** (0.17) .44
  Some college 0.65*** (0.08) 0.83*** (0.13) .25 0.64*** (0.08) 0.83*** (0.13) .23
  College degree or more 1.28*** (0.09) 2.14*** (0.13) .000 1.28*** (0.09) 2.14*** (0.13) .000
Random effects
 Time variance 0.29*** (0.01) 0.20*** (0.06) 0.29*** (0.01) 0.19*** (0.06)
 Intercept variance 8.74*** (0.18) 7.78*** (0.30) 8.74*** (0.18) 7.78*** (0.30)
 Residual variance 7.87*** (0.07) 7.30*** (0.17) 7.86*** (0.07) 7.31*** (0.17)
 −2 log likelihood 355,680.8 63,502.6 355,590.6 63,499.8

Notes: Diff = cohort difference; WP = within-person; BP = between-person. Respondent N = 18,592. Respondent-wave observation N = 78,245. All models adjusted for the between-person differences (Level 2) of time-varying variables.

aBirth cohort born in 1941 or earlier, respondent n = 13,771.

bBirth cohort born in 1942 or after, respondent n = 4,821.

cTransitioning from Internet nonuse to Internet use.

dNumber of completed waves.

eTransitioning from Internet use to Internet nonuse.

fLog-transformed sum of all income in a household.

gCount of eight endorsed items from the Center for Epidemiologic Studies—Depression scale.

hCount of eight diagnosed health conditions.

iCount of limitations in five activities of daily living.

jIndividuals’ rating of their memory at the present time, ranging from 0 (poor) to 4 (excellent).

kSelf-identifying as non-Hispanic Black, Hispanic, or non-Hispanic other.

**p < .01, ***p < .001.