Table 3.
Multivariate Normal, No Interaction in Data | Multivariate Normal, Interaction in Data | Chi Square Distribution, No Interaction in Data | Chi Square Distribution, Interaction in Data | ||||||
---|---|---|---|---|---|---|---|---|---|
Data generation | Mean Parameter (Mean Standard Error) | ||||||||
Path coefficients | |||||||||
Conduct Problems | 1.074 | 1.083 | (0.230) | 1.083 | (0.233) | 1.089 | (0.233) | 1.019 | (0.227) |
Depressive Symptoms | 0.109 | 0.112 | (0.059) | 0.112 | (0.060) | 0.104 | (0.059) | 0.088 | (0.059) |
Conduct Problems × Depressive Symptoms | 0.000 | ||||||||
Conduct Problems × Depressive Symptoms | 0.620 | 0.619 | (0.218) | 1.736 | (0.223) | ||||
Factor covariances | |||||||||
Conduct Problems with Depressive Symptoms | 0.093 | 0.092 | (0.020) | 0.093 | (0.020) | 0.093 | (0.021) | 0.113 | (0.020) |
Mean R2 (Standard Deviation of R2) |
|||||||||
R2 | |||||||||
Alcohol | 0.136 | (0.036) | 0.166 | (0.041) | 0.137 | (0.042) | 0.426 | (0.324) | |
Δ R2 of the interaction | 0 or 0.03 | 0.004 | (0.006) | 0.034 | (0.023) | 0.014 | (0.151) | 0.193 | (0.332) |
Mean Likelihood Ratio (Standard Deviation of Likelihood Ratio) |
|||||||||
Likelihood Ratio | 1.033 | (1.476) | 10.402 | (6.65) | 7.226 | (22.329) | 64.994 | (56.603) | |
Proportion significant | 0.061 | 0.841 | 0.349 | 0.987 |
Note. Path coefficients, factor covariances, and R2 represent mean values of parameter estimates from the correct model for each population and their corresponding standard error. For data populations not containing interactions, estimates are derived from Model 0, the model in which an interaction is not estimated. For data populations containing interactions, estimates are derived from Model 1, the model in which an interaction is estimated. Likelihood ratios and proportion of likelihood ratios significant are derived by estimating both Model 0 and Model 1 for each data population and comparing the likelihood ratio of the two models.