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In an ANOVA, the term Mean Square refers to an estimate of the population variance based on the variability among a given set of measures. In a one way ANOVA, the Within Mean Square is an estimate of the population variance based on the average of all s-square within the several samples. In a one way ANOVA the Between Mean Square is an estimate of the population variance based on the s-square of the sample means multiplied by n (the size of the samples).
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