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

Table 7.

Conditional growth model parameters including interactions between SLI and covariates.

Parameter Missing Do
Total R2 = .175
Ungrammatical Lex
Total R2 = .184
Ungrammatical Do + Lex
Total R2 = .215
Double Tense
Total R2 = .242
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 .02 .77 .84 .001 .82 .02 .78 .86 .001 .87 .02 .84 .91 .001 .74 .02 .70 .78 .001
 Linear age slope .19 .03 .13 .26 .001 .12 .04 .05 .19 .001 .19 .04 .12 .26 .001 .28 .03 .21 .35 .001
 Quad age slope .29 .03 −.35 −.23 .001 .40 .09 −.58 −.22 .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 .14 .001 −.01 .02 −.05 .03 .557
 Quad age cohort .18 .07 .06 .31 .005
 SLI on int .09 .02 −.13 −.04 .001 .12 .03 −.17 −.06 .001 .08 .02 .12 −.04 .001 .11 .02 −.15 −.07 .001
 SLI on slope −.03 .04 −.12 .05 .442 .02 .05 −.08 .11 .704 .05 .05 −.04 .15 .276 −.06 .05 −.15 .03 .188
 SLI on quad .12 .13 −.13 .36 .365
 NVIQ on int .00 .00 .00 .00 .216 .00 .00 .00 .00 .088 .00 .00 .00 .00 .147 .00 .00 .00 .00 .405
 NVIQ on slope .00 .00 .00 .00 .264 .00 .00 .00 .00 .915 .00 .00 .00 .00 .860 .00 .00 .00 .00 .780
 NVIQ on quad −.01 .00 −.02 .00 .026
 NVIQ × SLI on int .00 .00 .00 .00 .231 .00 .00 .00 .00 .161 .00 .00 .00 .00 .047 .00 .00 .00 .00 .276
 NVIQ × SLI on slope .00 .00 .00 .00 .791 .00 .00 .00 .01 .444 .00 .00 .00 .00 .928 .00 .00 .00 .01 .167
 NVIQ × SLI on quad .00 .01 −.01 .01 .824
 M-Ed on int .02 .01 .01 .03 .006 .01 .01 −.01 .03 .242 .01 .01 .00 .03 .066 .02 .01 .01 .03 .003
 M-Ed on slope .00 .01 −.02 .03 .767 .02 .01 −.01 .05 .131 .01 .01 −.02 .03 .662 .03 .01 .00 .06 .023
 M-Ed on quad .05 .03 −.02 .11 .185
 M-Ed × SLI on int .00 .01 −.02 .02 .986 .01 .01 −.02 .03 .580 .01 .01 −.01 .03 .302 .00 .01 −.02 .01 .756
 M-Ed × SLI on slope .01 .02 −.02 .05 .475 −.02 .02 −.05 .02 .379 −.01 .02 −.05 .03 .537 −.01 .02 −.05 .02 .423
 M-Ed × SLI on quad −.06 .05 −.16 .03 .202
 BvG on int −.02 .02 −.05 .01 .262 .00 .02 −.04 .05 .901 −.01 .02 −.04 .02 .539 −.02 .02 −.05 .01 .225
 BvG on slope −.09 .03 −.15 −.02 .010 −.06 .04 −.13 .01 .118 −.08 .04 −.15 −.01 .021 −.06 .03 −.13 .00 .069
 BvG on quad .07 .09 −.12 .25 .473
 BvG × SLI on int .00 .02 −.05 .05 .988 .02 .03 −.04 .07 .610 −.02 .02 −.06 .03 .465 .01 .02 −.04 .05 .762
 BvG × SLI on slope .07 .05 −.02 .16 .134 .06 .05 −.04 .16 .223 .05 .05 −.05 .15 .316 .07 .05 −.03 .16 .177
 BvG × SLI on quad −.18 .13 −.44 .08 .170
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 .00 .00 .00 .01 .008 .01 .00 .01 .01 .001 .01 .00 .01 .01 .001
 L2 linear .01 .00 .00 .03 .010 .02 .00 .01 .03 .001 .02 .00 .02 .04 .001 .01 .00 .01 .03 .001
 L2 quad .03 .02 .01 .31 .088 .10 .03 .06 .19 .001 .05 .03 .02 .19 .023
 L2 int–linear .01 .00 .00 .01 .001 .00 .00 .00 .00 .916 .00 .00 .00 .00 .617 .00 .00 .00 .01 .001
 L2 int–quad −.02 .01 −.03 −.01 .001 .03 .01 −.04 −.02 .001 −.02 .00 −.03 −.01 .001
 L2 lin–quad −.01 .01 −.02 .00 .032 .00 .01 −.02 .01 .876 .01 .01 .00 .03 .089
 L3 int .00 .00 .00 .01 .032 .01 .00 .01 .02 .001 .00 .00 .00 .01 .001 .00 .00 .00 .01 .003

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. SLI = specific language impairment (0 = unaffected); Est = estimate; SE = standard error; CI = confidence interval; LL = lower limit; UL = upper limit; Int = intercept; Quad = quadratic; 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.