Factorial Anova Assumptions Violated. Nevertheless published one-way designs are known to have an average ratio of the largest to the smallest standard deviation of 21 Keselman et al 1998. Assumptions of the Factorial ANOVA.
Table 1 presents the summary table for this 2 x 3 Factorial ANOVA. Assumptions of the Factorial ANOVA. The factorial ANOVA has several assumptions that need to be fulfilled 1 interval data of the dependent variable 2 normality 3 homoscedasticity and 4 no multicollinearity.
1 Normally distributed 2 Constant variance 3 Independent We will use the estimated errors ij Y ij Y ij or residuals from the model to check the assumptions.
When would you use a factorial Anova. However platykurtosis can have a profound effect when your group sizes are small. Two main effects and one interaction effect were tested by the Factorial ANOVA. Violation of these assumptions results in too many rejections of the null hypothesis for the stated significance level.
