Explain the logic of analysis of variance. What does analysis of variance tell us when it is applied to a 2 x 3 multifactorial experimental design?
What will be an ideal response?
Ans: Varies.
Analysis of variance (ANOVA) is a type of inferential statistical procedure that evaluates the likelihood that results would be expected by chance alone. Specifically, ANOVA compares between-group variance (also called systematic variance) against within-group variance (also called error) in a ratio that produces an F-statistic. Under the null hypothesis, the F-ratio equals 1; when the results are significant, between-group variance is significantly greater than within-group variance. In a 2 x 3 multifactorial design, a multifactorial ANOVA produces an F-statistic for the two independent variables as well as their interaction.
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