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. 2023 Aug 22;66(10):3882–3906. doi: 10.1044/2023_JSLHR-22-00507

Table 4.

Unconditional growth model parameters.

Parameter Missing Do
Total R2 = .099
Ungrammatical Lex
Total R2 = .086
Ungrammatical Do + Lex
Total R2 = .134
Double Tense
Total R2 = .138
Est SE 95% CI
p < Est SE 95% CI
p < Est SE 95% CI
p < Est SE 95% CI
p <
LL UL LL UL LL UL LL UL
Fixed effects
 Int (age 10 years) .77 .01 .75 .78 .001 .78 .01 .76 .80 .001 .83 .01 .81 .85 .001 .68 .01 .65 .70 .001
 Linear age slope .16 .02 .14 .19 .001 .14 .02 .11 .17 .001 .20 .02 .16 .23 .001 .27 .02 .24 .30 .001
 Quad age slope −.28 .03 −.34 −.22 .001 −.34 .03 −.41 −.28 .001 −.36 .03 −.42 −.30 .001 −.19 .03 −.25 −.13 .001
 Linear age cohort .09 .02 .04 .13 .001 .07 .02 .02 .11 .004 .07 .02 .03 .12 .001 −.03 .02 −.08 .02 .194
 Quad age cohort .31 .07 .17 .45 .001
Random effects: Variance components
 L1 residual .04 .00 .04 .04 .001 .03 .00 .03 .04 .001 .03 .00 .03 .03 .001 .04 .00 .03 .04 .001
 L2 int .02 .00 .01 .02 .001 .01 .00 .01 .02 .001 .01 .00 .01 .02 .001 .01 .00 .01 .01 .001
 L2 linear .01 .01 .01 .03 .001 .02 .01 .01 .04 .001 .03 .01 .02 .04 .001 .02 .01 .01 .03 .001
 L2 quad .03 .03 .01 .37 .101 .11 .03 .07 .21 .001 .06 .03 .03 .19 .018
 L2 int–linear .01 .00 .00 .01 .001 .00 .00 .00 .01 .793 .00 .00 −.01 .00 .403 .01 .00 .01 .01 .001
 L2 int–quad −.02 .01 −.03 −.01 .001 −.03 .01 −.04 −.02 .001 −.02 .01 −.03 −.01 .001
 L2 linear–quad −.02 .01 −.03 .00 .018 .00 .01 −.02 .01 .797 .01 .01 .00 .03 .083
 L3 int .00 .00 .00 .01 .001 .01 .00 .00 .01 .001 .01 .00 .01 .01 .001 .01 .00 .00 .01 .001

Note. The time-varying predictor of age and the effects of age cohort were log-transformed. The intercept parameter is time-varying log-age, centered at log-age 10 years, and represents the average A′ outcome at 10 years of age. The estimates for linear and quadratic effects of age cohort represent the cross-sectional effects of children's exact age at study entry, centered at log-age 8 years, on the intercept. Bold values indicate p < .01. Covariances indicated with dash (–). Blank cells indicate effects not included in a particular model due to nonsignificance. Est = estimate; SE = standard error; CI = confidence interval; LL = lower limit; UL = upper limit; Int = intercept; Quad = quadratic; L1 residual = variance over time and within persons; L2 = Level 2: variance across persons within families; L3 = Level 3: variance within families.