In one-way ANOVA,the numerator of the F statistic is an estimate of the population variance based on within-treatment variation.

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The numerator of the F statistic is the between-treatment variability divided by the degrees of freedom for treatments, which is an estimate of the variance based on the differences between the treatment means. The denominator of the F statistic is an estimate of the population variance based on within-treatment variation.

In One-Way ANOVA,the Numerator of the F Statistic Is an Estimate