In this material, the F-test is defined as the ratio of which two statistics?

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Multiple Choice

In this material, the F-test is defined as the ratio of which two statistics?

Explanation:
The F-test compares two population variances. The statistic used is the ratio of the two sample variances: F = s1^2 / s2^2. If you only have standard deviations, you square them to get the variances, so F = s1^2 / s2^2 = (SD1^2)/(SD2^2). The ratio of standard deviations, SD1/SD2, would be the square root of F, not F itself. So the conventional definition relates to Var1/Var2 (or SD1^2/SD2^2); the ratio of standard deviations is not the F statistic.

The F-test compares two population variances. The statistic used is the ratio of the two sample variances: F = s1^2 / s2^2. If you only have standard deviations, you square them to get the variances, so F = s1^2 / s2^2 = (SD1^2)/(SD2^2). The ratio of standard deviations, SD1/SD2, would be the square root of F, not F itself. So the conventional definition relates to Var1/Var2 (or SD1^2/SD2^2); the ratio of standard deviations is not the F statistic.

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