Table 2.
Model comparison results.
| Model | Bayes Factor | DIC | LOOIC | Posterior Predictive Check | Convergence Issues | Selected Model | |
|---|---|---|---|---|---|---|---|
|
| |||||||
| Goal 1: Informative vs. Noninformative | Informative/Noninformative | Noninformative/Informative | Informative – Noninformative | Informative – Noninformative | Informative – Noninformative | ||
| GJ ~ Socialization | 208.81 | 0.01 | -97.00<-96.89 | -95.2<-94.8 | 0.32<0.50 | Informative | |
| GJ ~ Socialization + Nonverbal Ability | 138^28 | 1.05^-30 | -85.99>-96.75 | -96.4<-95.6 | 0.32<0.51 | Informative | |
| Goal 2: Weakly-informative vs. Noninformative | Weakly-informative/Noninformative | Noninformative/ Weakly-informative | Weakly-informative – Noninformative | Weakly-informative – Noninformative | Weakly-informative – Noninformative | ||
| GJ ~ Socialization | 0.001 | 931.56 | -94.27>-96.89 | -23.3>-94.8 | 0.32<0.50 | Weakly-informative | Non-informative |
| GJ ~ Socialization + Race | 357^18 | 1.14^-21 | -88.28>-91.48 | -96.5<-95.0 | 0.31<0.50 | Weakly-informative | |
| GJ ~ Socialization + Ethnicity | 224^18 | 3.14^-21 | -97.51>-98.14 | -96.4<-95.2 | 0.31<0.49 | Weakly-informative | |
| GJ ~ Socialization + Income | >1,000 | 0.00 | -90.91>-96.17 | -91.7<-91.5 | 0.34<0.50 | Weakly-informative | |
| GJ ~ Socialization + Maternal Education | 348^11 | 5.43ˆ-14 | -91.23>-98.22 | -82.4>-92.1 | 0.35<0.50 | Weakly-informative; Noninformative | No model selected |
Note. Bayes Factor = larger values represent more evidence that the data favors the numerator model; DIC = Deviance information criterion, smaller values represent better model fit; LOOIC = Leave-one-out cross validation information criterion, smaller values indicate better prediction; Posterior Predictive Checks = yields a p-value indicating the proportion of model predictions that equal/exceed the observed value, a p-value of approximately .50 indicates that the model prediction fits the actual data; Convergence Issues = reports any model that fails to meet convergence standards on any metric, See Supplementary Materials 2 for complete convergence metric reporting; GJ = Grammaticality judgement; Socialization = VABS-3 Socialization standard scores; Nonverbal ability = Nonverbal ability z-scores on the Penn Matrix Reasoning scale; Noninformative/Informative = evidence in favor of the noninformative model relative to the informative model; Informative/Noninformative = evidence in favor of the informative model relative to the noninformative model; Informative – Noninformative = Informative model DIC and noninformative DIC; Weakly-informative/Noninformative = evidence in favor of the weakly-informative model relative to the noninformative model; Noninformative/Weakly-informative = evidence in favor of the noninformative model relative to the weakly-informative model; Weakly-informative – Noninformative = Weakly-informative model DIC and noninformative DIC; ~ = outcome variable regressed on predictor variable.