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OCR: Introduction to the One-way Analysis of Variance When you have continuous response (interval Y measured over number of groups identified categorical variable (nominal X then natural to the mean for each group and test that the means are not significantly differen The Analysis of variance approach to this assumes that the response has nor distribution, and the same variance but possibly different eans across the groups If the normal distribution assum ption IS violated, then nonparametric alternative test is suggested If the egual-variance assumption suspect then the variances can be tested and an variance-adjusted analysis obtained. you more interested in which means are different from which other means then multiple comparisons method suggested equal