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Original Articles

An Adjustment to the Bartlett's Test for Small Sample Size

, &
Pages 257-269 | Received 27 Jul 2012, Accepted 01 Feb 2013, Published online: 28 Jul 2014

References

  • Bartlett, M.S. (1937). Properties of sufficiency and statistical tests. Proceedings of the Royal Statistical Society Series A 160:268–282.
  • Bishop, D.J., Nair, U.S. (1939). A note on certain methods of testing for the homogeneity of a set of estimated variances. Journal of the Royal Statistical Society 6(1):89–99.
  • Boos, D., Brownie, C. (1989). Bootstrap methods for testing homogeneity of variances. Technometrics 31(1):69–82.
  • Boos, D., Brownie, C. (2004). Comparing variances and other measures of dispersion. Statistical Science 19(4):571–578.
  • Box, G.E. P. (1953). Non-normality and tests on variances. Biometrika 40(3/4):318–335.
  • Box, G.E. P., Andersen, S.L. (1955). Permutation theory in the derivation of robust criteria and the study of departure from assumption. Journal of the Royal Statistical Society, Series B 17:1–26.
  • Cahoy, D.O. (2010). A bootstrap test for equality of variances. Computational Statistics and Data Analysis 54:2306–2316.
  • Chao, M., Glaser, R. E. (1978). The exact distribution of Bartlett's test statistic for homogeneity of variances with unequal sample sizes. J. Amer. Statist. Assoc. 73:422–426.
  • Conover, W.J., Johnson, M.E., Johnson, M.M. (1981). A comparative study of tests for homogeneity of variances, with applications to the outer continental shelf bidding data. Technometrics 23(4):351–361.
  • Dyer, D. D., Keating, J. P. (1980). On the determination of critical values for Bartlett's test. J. Amer. Statist. Assoc. 75:313–319.
  • Hartley, H.O. (1940). Testing the homogeneity of a set of variances. Biometrika 31(3/4):249–255.
  • Hartley, H.O. (1950). The maximum F-ratio as a short-cut test for heterogeneity of variance. Biometrika 37(3/4):308–312.
  • Levene, H. (1960). Robust Tests for Equality of Variances. Stanford University Press: 278–292.
  • Lim, T.-S., Loh, W.-Y. (1996). A comparison of tests of equality of variances. Computational Statistics & Data Analysis 22:287–301.
  • Neyman, J., Pearson, E.S. (1931). On the problem of k samples. Bulletin de l’Academie Poloaise des Science et des Lettres, A:460–481.
  • Ye, Z.S., Xie, M., Tang, L.C., Shen, Y. (2012). Degradation-based burn-in planning under competing risks. Technometrics 54(2):159–168.
  • Wu, J., Wong, A.C. M. (2003). A note on determining the p-value of Bartlett's test of homogeneity of variances. Communications in Statistics—Theory and Methods 32(1):91–101.

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