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If s 2/1 represents the larger of two sample variances, can the F test statistic ever...

If s 2/1 represents the larger of two sample variances, can the F test statistic ever be less than 1?

can the F test statistic ever be a negative number?

Is the f distribution symmetric, skewed left or skewed right?

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Expert Solution

If s 2/1 represents the larger of two sample variances, can the F test statistic ever be less than 1?

Yes the F-test can be less than 1.

It is not very clear by teh statment s 2/1 and I shall take be the first variance and be second variance. By definition   . If the variance in teh denominator   then F test statistic will be <1.

can the F test statistic ever be a negative number?

No, F test statistics will never be a negative number bacause it is a ratio of two variances . Variance by definition is always a positive quantity and ratio of two positive numbers will always be positive.

Is the f distribution symmetric, skewed left or skewed right?

F-distribution is skewed right.

orchestra answered 1 year ago
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