The difference between a one-way analysis of variance and a factorial analysis of variance is
A) the presence of an interaction.
B) the presence of more than one main effect.
C) one-way analyses of variance have an error term, whereas factorial analyses do not.
D) both a and b

Question

Quizplus · Accepted Answer

A one-way analysis of variance involves only one independent variable and tests for differences in means between groups. A factorial analysis of variance involves two or more independent variables and tests for both main effects (differences in means between groups for each independent variable) as well as an interaction (whether the effect of one variable depends on the level of another variable). Therefore, both A (the presence of an interaction) and B (the presence of more than one main effect) differentiate a factorial analysis from a one-way analysis.

The Difference Between a One-Way Analysis of Variance and a Factorial