![]() If s 1 2 and s 2 2 come from samples from the same population, then if many pairs of samples were taken and F-scores computed, most of those F-scores would be close to one. Think about the shape that the F-distribution will have. Because we know that sampling distributions of the ratio of variances follow a known distribution, we can conduct hypothesis tests using the ratio of variances. Not surprisingly, over the intervening years, statisticians have found that the ratio of sample variances collected in a number of different ways follow this same distribution, the F-distribution. ![]() Years ago, statisticians discovered that when pairs of samples are taken from a normal population, the ratios of the variances of the samples in each pair will always follow the same distribution.
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