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For categorical variables, multiple interaction terms were created, one for each level of the categorical variable crossed with the continuous variable, and the log-likelihood test was used to compare models with and without the interaction terms.
To test for synergistic effects between each of the components of metabolic syndrome on depressive symptoms, we examined multiple interaction terms, but none were statistically significant (results not shown, data available upon request).
Two automated statistical procedures were also applied: a backward variable selection approach applied to a parametric penalised logistic regression model with multiple interaction terms and non-parametric classification trees.
More flexible methods tested in sensitivity analyses confirmed similar accuracy: logistic penalised models with multiple interaction terms showed a sensitivity of 94.35 955% CI 91.36 to 96.68) and a specificity of 92.59 955% CI 90.11 to 94.68); classification trees did not identify alternative pathways capable of significantly improving accuracy for the classification of cases.
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Evidence of a multiplicative interaction effect at baseline and longitudinally was assessed in Cox proportional hazards models that included main effects and a multiple interaction term.
We performed a gene-gene interaction analysis using multiple linear regression allowing for a multiplicative interaction term between the two additive-encoded SNPs.
*Indicates a multiplicative interaction term.
The probability density for the entries contains a weight function and a multiple trace trace interaction term, which corresponds to the representation of the Vandermonde-squared coupling on the basis of power sums.
Hansel et al. show that multiple Fourier mode interaction terms are necessary in a phase-reduced model of homogeneously all-to-all coupled identical HH neurons in order to account for multiple-cluster formation [10].
On Cox regression for risk of first event and Poisson regression for multiple events, the interaction terms for ITN use and older age, and for low transmission and older age, were significantly greater than 1.
Formal testing using multiple regression with interaction terms showed no evidence of interaction between severity of disease and randomised treatment on treatment effect for worst episode of itch.
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