Power curves for the analysis of means for variances

Citation
Ps. Wludyka et al., Power curves for the analysis of means for variances, J QUAL TECH, 33(1), 2001, pp. 60-65
Citations number
7
Categorie Soggetti
Engineering Management /General
Journal title
JOURNAL OF QUALITY TECHNOLOGY
ISSN journal
00224065 → ACNP
Volume
33
Issue
1
Year of publication
2001
Pages
60 - 65
Database
ISI
SICI code
0022-4065(200101)33:1<60:PCFTAO>2.0.ZU;2-3
Abstract
The analysis of means for variances (ANOMV) is used for testing the k-sampl e 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 c omparable to the best competing tests. In order to be able to determine the power for various combinations of k, degrees of freedom (nu), and level of significance (alpha), the least favorable configuration for the k variance s is discussed; power curves are presented for alpha = 0.1, 0.05, 0.01, k = 3(1)8, 10, 12, and nu = 3(1)15, 20, 30, 60. These power curves are useful for determining appropriate sample sizes and for interpreting experimental results.