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Introduction

Analysis of variance (ANOVA) is a procedure for assigning sample variance to different sources and deciding whether the variation arises within or among different population groups. Samples are described in terms of variation around group means and variation of group means around an overall mean. If variations within groups are small relative to variations between groups, a difference in group means may be inferred. Hypothesis Tests are used to quantify decisions.

This chapter treats ANOVA among groups, that is, among categorical predictors. ANOVA for regression, with continuous predictors, is discussed in Tabulating Diagnostic Statistics.

Multivariate analysis of variance (MANOVA), for data with multiple measured responses, is also discussed in this chapter.

  


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