Practical Statistics for Educators by Ravid Ruth;

Author:Ravid, Ruth;
Language: eng
Format: epub
Publisher: Rowman & Littlefield Publishers
Published: 2019-12-02T00:00:00+00:00

The MSW (also called the error term) can be thought of as the average variance to be expected in any normally distributed group. The MSW serves as the denominator in the computation of the F ratio. To compute the F ratio, the between-group mean square (MSB) is divided by the within-group mean square (MSW).

MSB, the numerator, increases as the differences between the group means increase; thus, greater differences between the means also result in a higher F ratio. In addition, because the denominator is the within-group mean square, when the groups are more homogeneous and have lower variances, the MSW tends to be smaller and the F ratio is likely to be higher. Two figures are presented to illustrate the role of group means (figure 10.2) and variances (figure 10.3) in the computations of the F ratio in ANOVA.

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