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Variance estimates - ANOVA and a standard sample

M

maz1987

Member
When constructing a CI for an ANOVA question, we take the estimate of the variance to be SSr / (n - k).

This gives a different estimation than the normal formula of estimating a population variance using a sample (pg 23 of the Tables).

Is the reason for this because we are assuming the same variances for the different populations, but assuming (potentially) different means? I guess the standard sample variance estimator is a version of the SSr / (n - k) formula, with the assumption that the various treatments also have the same mean. Is that correct?

Thanks
 
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