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Theory and Method

The Exact Distribution of Bartlett's Test Statistic for Homogeneity of Variances with Unequal Sample Sizes

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Pages 422-426 | Received 01 Jun 1977, Published online: 05 Apr 2012

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J. Wu & A. C. M. Wong. (2003) A Note on Determining the -Value of Bartlett's Test of Homogeneity of Variances. Communications in Statistics - Theory and Methods 32:1, pages 91-101.
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PeterS. Wludyka & PeterR. Nelson. (1997) An Analysis-of-Means-Type Test for Variances From Normal Populations. Technometrics 39:3, pages 274-285.
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Gonzalo Perera, Hugo Carrasco, Veronica Díaz, Maria Fontan, Adriana Mehr, Carolina Mendoza, Carina Pereira, Nicolas Sarachaga & Alejandro Stein . (1996) Mathematical statistics: on the Hartley‐Bartlett test. International Journal of Mathematical Education in Science and Technology 27:4, pages 553-559.
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James G. Booth, Ronald W. Butler, S. Huzurbazar & Andrew T.A. Wood. (1995) Saddlepoint approximations for P-values of some tests of covariance matrices. Journal of Statistical Computation and Simulation 53:3-4, pages 165-180.
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David P.T. Chu & Brajendra C. Sutradhar. (1995) On cochran's and hartley's tests for homogeneity of variances when observations are autocorrelated. Communications in Statistics - Simulation and Computation 24:2, pages 327-347.
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R. Calabria, M. Guida & G. Pulcini. (1992) Power bounds for a test of equality of trends in k independent power law processes. Communications in Statistics - Theory and Methods 21:11, pages 3275-3290.
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C. C. Chao & A. K. Gupta. (1991) Testing of homogeneity of diagonal blocks with blockwise independence. Communications in Statistics - Theory and Methods 20:7, pages 1957-1969.
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P. N. Rathie. (1989) Generalized Hypergeometric Functions and Exact Distributions of Test Statistics. American Journal of Mathematical and Management Sciences 9:1-2, pages 155-175.
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Tang Jen & A.K. Gupta. (1987) On testing homogeneity of variances for gaussian models. Journal of Statistical Computation and Simulation 27:2, pages 155-173.
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Jerome P. Keating & Ram C. Tripathi. (1984) Comparison op some two sample tests for equality of variances. Communications in Statistics - Theory and Methods 13:21, pages 2691-2706.
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J.C.M. Giguere, E.B. Manoukian & J.M.A. Roy. (1982) Maximum absolute error for bartlett's chi-square approximation. Journal of Statistical Computation and Simulation 15:2-3, pages 109-117.
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J.L. Cyr & E.B. Manoukian. (1982) Approximate critical values with error bounds for bartlett's test of homogeneity of variances for unequal sample sizes. Communications in Statistics - Theory and Methods 11:15, pages 1671-1680.
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W.J. Conover, MarkE. Johnson & MyrleM. Johnson. (1981) A Comparative Study of Tests for Homogeneity of Variances, with Applications to the Outer Continental Shelf Bidding Data. Technometrics 23:4, pages 351-361.
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DannyD. Dyer & JeromeP. Keating. (1980) On the Determination of Critical Values for Bartlett's Test. Journal of the American Statistical Association 75:370, pages 313-319.
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A. M. Mathai & G. Pederzoli. (1995) Moments of generalized quadratic forms and distributions of certain multivariate test statistics. Journal of the Italian Statistical Society 4:3, pages 345-356.
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E. B. Manoukian. (1982) Bound on the Accuracy of Bartlett’s Chi-Square Approximation for Testing the Homogeneity of Variances. SIAM Journal on Applied Mathematics 42:3, pages 575-587.
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