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More complex model should need more other additional data to avoid serious deterioration of model predictions.
Results show no significant deterioration of model fitting (χ12 = 1.43, P = 0.23), consistent with the same sets of genes influencing homophobia scores for males and females.
Results show no significant deterioration of model fit (χ22 = 4.52, P = 0.10), indicating there are no magnitude differences in effects of A, C and E on variance in homophobia scores between sexes.
Restricting model parameters to equality across the two studies did not result in a significant deterioration of model fit, as measured by the chi-square test for nested models (Table 3).
The finding that more complex classification systems (LR model and QB classifier) did not give better performance than the naïve Bayes classifier suggests that the assumption of conditional independence of the selected variables was mostly true, and small deviations from the assumption did not cause significant deterioration of model performance.
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If the difference test is significant (threshold for the genetic models p < 0.01 due to multiple testing) the constraints on the nested model cause a significant deterioration of the model.
Thus, the majority of identified data for this threshold suggested that outliers could just appear due to the statistical properties of the data and their removal can lead to deterioration of the model quality.
To get an indication of the statistical power to detect the genetic variant in the two designs, we studied the deterioration of the model fit, expressed as increase in χ2, when the association between the genetic variant and the operationalisation of the trait (sum-score or latent factor) was fixed to 0, i.e., a test with 1 degree of freedom (df).
However, equating thresholds in two steps (first within men, then within women) did not result in a significant deterioration of the model fit.
Constraining the variance components to be equal across same and different teachers also resulted in a significant deterioration of the model fit.
Constraining the additive genetic moderator to be equal in the three educational groups resulted in a non significant deterioration of fit (model 3a; P = .89).89
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com