SIMULATNEOUS TESTS FOR THE EQUALITY OF VARIANCES AGAINST CERTAIN ALTERNATIVES1

1965; Wiley; Volume: 7; Issue: 3 Linguagem: Inglês

10.1111/j.1467-842x.1965.tb00038.x

ISSN

0004-9581

Autores

P. R. Krishnaiah,

Tópico(s)

Advanced Statistical Process Monitoring

Resumo

Australian Journal of StatisticsVolume 7, Issue 3 p. 105-109 SIMULATNEOUS TESTS FOR THE EQUALITY OF VARIANCES AGAINST CERTAIN ALTERNATIVES1 P. R. Krishnaiah, P. R. Krishnaiah Aerospace Research Laboratories Wright-Patterson A.F.B., OhioSearch for more papers by this author P. R. Krishnaiah, P. R. Krishnaiah Aerospace Research Laboratories Wright-Patterson A.F.B., OhioSearch for more papers by this author First published: November 1965 https://doi.org/10.1111/j.1467-842X.1965.tb00038.xCitations: 9 † Manuscript received June 24, 1965; revised October 25, 1965 AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat References Armitage, J. V., and Krishnaiah, P. R. (1964). Tables for the Studentized Largest Chi-Square Distribution and Their Applications. ARL 64–188, Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio . Google Scholar Bechhofer, R. E., and Sobel, M. (1954). "A single sample multiple decision procedure for ranking variances of normal populations. Ann. Math. Statist., 25, 273–289. 10.1214/aoms/1177728785 Web of Science®Google Scholar Bozivich, H., Bancroft, T. A., and Hartely, H. O. (1956). "Power of analysis of variance test procedures for certain incompletely specified models, I. Ann. Math. Statist., 27, 1017–1043. 10.1214/aoms/1177728071 Web of Science®Google Scholar David, H. A. (1952). "Upper 5 and 1% points of the maximum F-ratio. Biometrika, 39, 422–424. 10.1093/biomet/39.3-4.422 Web of Science®Google Scholar Ghosh, M. N. (1955). "Simultaneous tests of linear hypotheses. Biometrika, 42, 441–449. 10.1093/biomet/42.3-4.441 Web of Science®Google Scholar Gnanadesikan, R. (1959). "Equality of more than two variances and more than two dispersion matrices against certain alternatives. Ann. Math. Statist., 30, 177–184. 10.1214/aoms/1177706372 Web of Science®Google Scholar Gupta, S. S., and Sobel, M. (1962). "On the smallest of several correlated F statistics. Biometrika, 49, 509–523. 10.1093/biomet/49.3-4.509 Web of Science®Google Scholar Gupta, S. S. (1963). "On a selection and ranking procedure for gamma populations. Ann. Inst. Statist. Math., 14, 199–216. 10.1007/BF02868642 PubMedWeb of Science®Google Scholar Hartley, H. O. (1950). "The maximum F-ratio as short-cut test for heterogeneity of variances. Biometrika, 37, 308–312. PubMedWeb of Science®Google Scholar Krishnaiah, P. R., and Armitage, J. V. (1964). Distribution of the Studentized Smallest Chi-Square, with Tables and Applications. ARL 64–218, Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio . Google Scholar Krishnaiah, P. R. (1965a). "On the simultaneous ANOVA and MANOVA tests. Ann. Inst. Statist. Math., 17, 35–53. 10.1007/BF02868151 Web of Science®Google Scholar Krishnaiah, P. R. (1965b). "Multiple comparison test in multi-response experiments," Sankhya., 27. Google Scholar Ramachandran, K. V. (1956). "On the Tukey test for the equality of means and the Hartley test for the equality of variances. Ann. Math. Statist, 27, 825–831. 10.1214/aoms/1177728189 Web of Science®Google Scholar Ramchandran, K. V. (1956). "Contributions to simultaneous confidence interval estimation. Biometrics, 12, 51–56. 10.2307/3001576 Web of Science®Google Scholar Roy, S. N. (1953). "On a heuristic method of test construction and its uses in multivariate analysis. Ann. Math. Statist., 24, 220–238. 10.1214/aoms/1177729029 Web of Science®Google Scholar Citing Literature Volume7, Issue3November 1965Pages 105-109 ReferencesRelatedInformation

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