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Abstract
The analysis of means for variances (ANOMV) is used for testing the k-sample homogeneity of variances hypothesis for samples from normal populations. The test can be done in a graphical form and has been shown to have power comparable to the best competing tests. In order to be able to determine the power for various combinations of k, degrees of freedom (v), and level of significance (α), the least favorable configuration for the k variances is discussed; power curves are presented for α = 0.1, 0.05, 0.01, k = 3(1)8, 10, 12, and v = 3(1)15, 20, 30, 60. These power curves are useful for determining appropriate sample sizes and for interpreting experimental results.
Additional information
Notes on contributors
Peter S. Wludyka
Dr. Wludyka is an Assistant Professor in the Department of Mathematics and Statistics and Director of the Center for Research and Consulting in Statistics. He is a member of ASQ. His email address is [email protected].
Peter R. Nelson
Dr. Nelson is a Professor in the Department of Mathematical Sciences. He is a Fellow of ASQ.
Peter R. Silva
Mr. Silva is a Graduate Student in the Department of Mathematics and Statistics.
