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.