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

Table 5.

Final conditional growth model parameters.

Parameter Missing Do
Total R2 = .174
Ungrammatical Lex
Total R2 = .181
Ungrammatical Do + Lex
Total R2 = .214
Double Tense
Total R2 = .241
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) .80 .01 .77 .83 .001 .81 .02 .77 .84 .001 .86 .01 .83 .89 .001 .74 .02 .71 .77 .001
 Linear age slope .17 .03 .11 .22 .001 .12 .03 .06 .18 .001 .19 .03 .13 .25 .001 .27 .03 .22 .33 .001
 Quad age slope .29 .03 −.35 −.23 .001 .30 .07 −.45 −.16 .001 −.38 .03 −.44 −.32 .001 −.18 .03 −.24 −.12 .001
 Linear age cohort .10 .02 .06 .14 .001 .08 .02 .04 .12 .001 .09 .02 .05 .13 .001 −.02 .02 −.06 .03 .463
 Quad age cohort .19 .07 .06 .31 .004
 SLI on int .08 .01 −.11 −.06 .001 .10 .02 −.13 −.07 .001 −.08 .01 −.10 −.05 .001 −.11 .01 −.14 −.09 .001
 SLI on slope .02 .02 −.03 .07 .398 .03 .03 −.02 .08 .301 .06 .03 .01 .11 .022 −.04 .03 −.09 .01 .097
 SLI on quad −.08 .07 −.22 .05 .236
 NVIQ on int .00 .00 .00 .00 .004 .00 .00 .00 .00 .001 .00 .00 .00 .00 .001 .00 .00 .00 .00 .031
 NVIQ on slope .00 .00 .00 .00 .210 .00 .00 .00 .00 .400 .00 .00 .00 .00 .977 .00 .00 .00 .00 .096
 NVIQ on quad .01 .00 −.01 .00 .003
 M-Ed on int .02 .00 .01 .03 .001 .01 .01 .00 .02 .029 .02 .01 .01 .03 .001 .02 .00 .01 .03 .001
 M-Ed on slope .01 .01 −.01 .03 .290 .01 .01 −.01 .03 .260 .00 .01 −.02 .02 .966 .02 .01 .00 .04 .019
 M-Ed on quad .01 .02 −.03 .06 .578
 BvG on int −.02 .01 −.04 .00 .117 .01 .02 −.02 .04 .458 −.02 .01 −.04 .00 .117 .02 .01 .04 .01 .166
 BvG on slope −.05 .02 −.10 −.01 .025 −.03 .03 −.08 .02 .301 −.06 .03 −.11 −.01 .020 .03 .02 .08 .02 .239
 BvG on quad −.01 .07 −.14 .11 .837
Random effects: Variance components
 L1 residual .04 .00 .03 .04 .001 .03 .00 .03 .04 .001 .03 .00 .03 .03 .001 .04 .00 .03 .04 .001
 L2 int .01 .00 .01 .02 .001 .01 .00 .01 .02 .001 .01 .00 .01 .01 .001 .01 .00 .01 .01 .001
 L2 linear .01 .00 .01 .03 .008 .02 .00 .01 .03 .001 .02 .00 .02 .04 .001 .01 .00 .01 .03 .001
 L2 quad .03 .02 .01 .33 .094 .09 .03 .05 .19 .001 .05 .03 .02 .19 .022
 L2 int–linear .01 .00 .00 .01 .001 .00 .00 .00 .00 .929 .00 .00 .00 .00 .622 .00 .00 .00 .01 .001
 L2 int–quad .02 .01 −.03 −.01 .001 −.03 .01 −.04 −.02 .001 −.02 .00 −.03 −.01 .001
 L2 linear–quad −.01 .01 −.03 .00 .023 .00 .01 −.01 .01 .961 .01 .01 .00 .03 .100
 L3 int .00 .00 .00 .01 .039 .00 .00 .00 .01 .012 .00 .00 .00 .01 .001 .00 .00 .00 .01 .004

Note. The time-varying predictor of age and the effects of age cohort were log-transformed. 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. The intercept for each GJ Complex outcome reflects the expected A′ score for a 10-year-old girl, without SLI, who entered the study at 8 years of age with average-level performance on nonverbal IQ and whose mother has a high school education or GED. The Est for SLI reflects the difference in A′ score for SLI-affected compared to unaffected children; the Est for NVIQ reflects the increase in A′ score for each one-unit increase in IQ score; the Est for M-Ed reflects the increase in A′ score for each one-unit increase in maternal education; the Est for BvG reflects the difference in A′ score for boys when compared to girls. 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; SLI = specific language impairment (0 = unaffected); NVIQ = nonverbal IQ (centered at 100); M-Ed = maternal education (0 = high school/GED); BvG = boys versus girls (0 = girls); L1 residual = variance over time and within persons; L2 = Level 2: variance across persons within families; L3 = Level 3: variance within families; GJ = grammaticality judgment; GED = general equivalency diploma.