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Journal of Applied Statistics Volume 26, 1999 - Issue 2
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Original Articles

Two non-parametric, analysis-of-means-type tests for homogeneity of variances

Peter S. Wludyka
Pages 243-256 | Published online: 02 Aug 2010

  • BAKER , S. T. 1989 . Analysis of means using ranks . Communications in Statistics--Simulation and Computation , 18 : 757 – 775 .
  • BARNES , M. J. 1981 . “ The Effects of Kurtosis, Skewness and Sample Size on Type I Error Raters and Power of Tests of Homogeneity of Variance ” . Hempstead, NY : Hofstra University . PhD Thesis,
  • BARTLETT , M. S. 1937 . Properties of sufficiency and statistical tests . Proceedings of the Royal Society , 160 : 268 – 282 .
  • BARTLETT , M. S. and KENDALL , D. G. 1946 . The statistical analysis of variance heterogeneity and the logarithmic transformation . Journal of the Royal Statistical Society , 8 : 128 – 138 .
  • COCHRAN , W. G. 1941 . The distribution of the largest of a set of estimated variances as a fraction of their total . Annals of Eugenics , 11 : 47 – 52 .
  • CONOVER , W. J. , JOHNSON , M. E. and JOHNSON , M. M. 1981 . A comparative study of tests for homogeneity of variances, with applications to the outer Continental Shelf bidding data . Technometrics , 23 : 351 – 361 .
  • FLEISHMAN , A. I. 1978 . A method of simulating non-normal distributions . Psychometrica , 43 : 521 – 532 .
  • FLIGNER , M. A. and KILLEEN , T. J. 1976 . Distribution-free two-sample tests for scale . Journal of the American Statistical Association , 71 : 210 – 213 .
  • FOSTNER , L. A. 1964 . “ Testing for Equality of Variances ” . Lafayette, IN : Purdue University . PhD Thesis,
  • HARTLEY , H. O. 1940 . Testing the homogeneity of a set of variances . Bometrika , 31 : 249 – 255 .
  • HARTLEY , H. O. 1950 . The maximum F-ratio as a short cut test of heterogeneity of variances . Biometrika , 37 : 308 – 312 .
  • IMSL . 1987 . Math Library , Houston, TX : IMSL Inc. .
  • LEVENE , H. 1960 . “ Robust tests for equality of variances ” . In Contributions to Probability and Statistics , Edited by: OLKIN , I. 278 – 292 . Stanford, CA : Stanford University Press .
  • NELSON , L. S. 1983 . Exact critical values for the analysis of means . Journal of Quality Technology , 15 : 40 – 44 .
  • OVERALL , J. E. and WOODWARD , J. A. 1974 . A simple test for heterogeneity of variance of complex factorial designs . Psychometrika , 39 : 311 – 318 .
  • WLUDYKA , P. S. and NELSON , P. R. 1997a . Analysis of means type tests for variances from normal populations . Technometrics , 39 : 274 – 285 .
  • WLUDYKA , P. S. and NELSON , P. R. 1997b . Analysis of means type tests for variances using jackknifing and subsampling . American Journal of Mathematical and Management Sciences , 17 : 31 – 60 .

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