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. Author manuscript; available in PMC: 2019 May 29.
Published in final edited form as: Child Dev. 2017 Jan 26;88(6):2043–2059. doi: 10.1111/cdev.12715

Table 3.

Table showing the results of a maximum likelihood estimated model predicting developmental changes in performance. Parameter estimates include the estimated coefficient (Estimate) of the fixed effects, the Variance of random effects and Chi-square statistics (χ2). Chi-square statistics are associated with pairwise model comparisons with (full model) versus without the effect of interest, where the model without the effect of interest includes all other effects. Planned comparisons test age-related differences in naming effects (age* test period), in each learning (auditory versus visual) and test (same modality versus cross-modality) condition.


Parameters

Estimate (SE) Chi-square statistics
FIXED EFFECTS
Main effects and interactions
Learning  04.69 (02.59) χ2(8, N = 64) = 13.15, p < .11
Test condition −00.45 (02.51) χ2(8, N = 64) = 01.01, p < .99
Test period  12.31 (02.39) χ2(8, N = 64) = 39.99, p < .01
Age  02.19 (02.68) χ2(8, N = 64) = 06.88, p < .55
Age* learning −05.21 (05.13) χ2(4, N = 64) = 07.11, p < .13
Age* test condition  03.39 (05.00) χ2(4, N = 64) = 03.39, p < .49
Age* test period  12.68 (04.39) χ2(4, N = 64) = 09.32, p < .05
Age* test period* learning  17.97 (09.61) χ2(2, N = 64) = 06.11, p < .04
Age* test period* test condition  07.83 (08.31) χ2 < 1
Age* test period* learning* test condition  05.31 (16.47) χ2< 1

Variance (SD) Chi-square statistics
RANDOM EFFECTS
Subjects on intercepts 00.01 (00.01) χ2 < 1
Items on intercepts 00.63 (00.54) χ2 < 1
Subjects on the slope of the test condition 00.42 (00.38) χ2 < 1
Subjects on the slope of the test period 00.49 (00.58) χ2 < 1

Estimate (SE) Chi-square statistics
PLANNED COMPARISONS
Auditory
Overall 03.61 (06.41) χ2 < 1
Same modality 01.12 (10.22) χ2 < 1
Cross-modality 06.20 (09.08) χ2(2, N = 32) = 01.29, p = .52

Visual
Overall 21.31 (05.98) χ2(2, N = 32) = 12.95, p < .01
Same modality 15.53 (08.89) χ2(2, N = 32) = 05.82, p = .05
Cross-modality 26.83 (08.97) χ2(2, N = 32) = 12.43, p < .01