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Original Articles

A Note on the F Test for Equal Variances under Violation of Random Sampling

Pages 77-83 | Received 08 Feb 1993, Published online: 06 Jul 2010
 

Abstract

This study examined the influence of nonindependence of within-group sample values on the F test for equal variances. The probabilities of Type I and Type II errors were altered substantially when the correlation between successive sample values in one group differed from the correlation in the other group, but they were not affected when the two correlations were equal. A modified F statistic obtained from variance estimates that were corrected to allow for these correlations restored the probabilities of Type I and Type II errors to their previous values.

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