In an analysis of variance, one estimate of $\sigma$² is based upon the differences between the treatment means and the A)means of each sample B)overall sample mean C)sum of observations D)populations have equal means

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Quizplus · Accepted Answer

The estimate of F statistic in ANOVA is based on the differences between the treatment means and the overall sample mean. This is because the goal of ANOVA is to compare the variation in the data between the groups (treatments) to the variation within the groups. The treatment means are compared to the overall sample mean to estimate the extent to which the treatment means differ from what would be expected by chance alone. Therefore, option B, which refers to the overall sample mean, is the correct choice.

In an Analysis of Variance, One Estimate Of σ\sigmaσ 2 Is Based Upon the Differences Between the Treatment Means

In an Analysis of Variance, One Estimate Of $\sigma$ ² Is Based Upon the Differences Between the Treatment Means