ABSTRACT
The factorial univariate ANOVA is an extension of the one-way ANOVA in that it involves the analysis of two or more independent variables. It is used in experimental designs in which every level of every factor is paired with every level of every other factor. It allows the researcher to assess the effects of each independent variable separately, as well as the joint effect or interaction of variables. Factorial designs are labeled either by the
number of factors
involved or in terms of the
number of levels
of each factor. Thus, a factorial design with two independent variables (e.g., gender and ethnicity) and with two levels for each independent variable (male/female; Australian/Chinese) is called either a
two-way factorial
or a
×
2 factorial
.
