Analyzing Factorial Experiments with a Single Common Control Group

Soner YIĞIT
Corrado DIMAURO
Mehmet MENDEŞ

Keywords

Control group, factorial design, type I error, test power, simulation

Abstract

Researchers generally put a common control group into their experiments in order to determine how effective the treatments are or to compare the effect of their treatments with a baseline. In this study, classical statistical analysis of factorial experiments and a solution way which has been proposed by Winer et al. (1991) have been compared in terms of type I error rate and test power under different experimental conditions. Results of 100,000 simulation study revealed that performing Winer et al. (1991) test is more appropriate in terms of getting reliable results when there is a single common control group in factorial experiments.