Briefly explain to a non-statistician why ANOVA (which is a test of means) is called analysis...

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Briefly explain to a non-statistician why ANOVA (which is a testof means) is called analysis of variance rather than analysis ofmeans? what variances do we compare in anova?

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Because while it compares means it analyzes variances We might be interested in testing the sample means using hypothesis testing where a specific statement is generated about a population parametermeans and sample statistics are used to assess the likelihood that the hypothesis is true The hypothesis is based on available information and the investigators belief about the population parameters The specific    See Answer
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