ABSTRACT

In Chapter 11, an expansion of the examination of inferential statistics includes learning about factorial ANOVA which is used when an experiment involves more than one independent variable. This extension also requires the learning about a new concept called interaction. Also, to deal with combinations of between- and within- factors and with fixed and random factors requires learning how to work with multiple error terms to test main effects and interaction. In this chapter, the role of expected mean squares in the numerator and denominator of the F-ratio is explored. A good understanding of expected mean squares is necessary to expand the use of ANOVA to many different models. The chapter concludes with an illustration of a three-way fixed-effects between-groups ANOVA.