Tests for Standard Deviations (Two or More Samples)

MINITAB ASSISTANT WHITE PAPER This paper explains the research conducted by Minitab statisticians to develop the methods and data checks used in the Assistant in Minitab Statistical Software. Tests for Standard Deviations (Two or More samples ) Overview The Minitab Assistant includes two analyses to compare independent samples to determine whether their variability significantly differs. The 2-Sample Standard deviation test compares the Standard Deviations of 2 samples , and the Standard Deviations test compares the Standard Deviations of more than 2 samples . In this paper, we refer to k-sample designs with k = 2 as 2-sample designs and k-sample designs with k > 2 as multiple-sample designs. Generally, these two types of designs are studied separately (see Appendix A). Because the Standard deviation is the square root of the variance, a hypothesis test that compares Standard Deviations is equivalent to a hypothesis test that compares variances.

Sample Standard Deviation test in the Assistant. To do this, we needed to evaluate whether the approximated theoretical power function accurately reflects the actual power achieved by the Bonett test when it is performed on data from several types of distributions, including normal

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  Standards, Samples, Deviation, Sample standard deviation

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