A study examines gender categories, grouped family socioeconomic status and categorized locus of control as three factors affecting interval-scale social-studies performance. Assuming independent observations, approximately normal within-cell errors and homogeneous variances, which statistic is used for factorial ANOVA effects?
'F ' test
With three categorical factors and an interval-scale outcome, factorial ANOVA can test main effects and interactions using F statistics, subject to model assumptions. A two-group t test alone does not analyse this full design.