Which analysis of variance should be applied when an experiment has more than one independent variable.

What are the assumptions and limitations of the analysis of variance in comparison with the t test including a discussion of post hoc tests.

1 answer

When there are two independent variables, a two-way ANOVA can be applied.

Assumptions from scores in their respective populations are that they are normally distributed and have homogeneous variances. Samples are independently and randomly selected. In comparing the ANOVA with the t-test, the ANOVA can be applied when an independent variable has more than two levels.

One of the most common post hoc tests include Tukey's HSD test. There are others you can find as well.

I hope this will help.