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A larger ratio of between-group variance to within-group variance makes it more likely that the group means are different, which supports rejecting the null hypothesis.

Conditions: There are multiple groups being compared.; The variance has been separated into between-group and within-group components.

A larger ratio of between-group variance to within-group variance makes it more likely that the group means are different, which supports rejecting the null hypothesis.

Conditions: There are multiple groups being compared.; The variance has been separated into between-group and within-group components.

The F ratio is the test statistic used in analysis of variance, defined as the ratio of between-groups variance to within-groups variance. It is used to compare more than two group means.

Conditions: There are multiple groups to compare.; The comparison is framed in terms of variance components.

The F ratio is the test statistic used in analysis of variance, defined as the ratio of between-groups variance to within-groups variance. It is used to compare more than two group means.

Conditions: There are multiple groups to compare.; The comparison is framed in terms of variance components.