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Communications in Statistics - Simulation and Computation Volume 30, 2001 - Issue 4
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Original Articles

ROBUSTNESS OF PROCEDURES FOR THE BEHRENS-FISHER PROBLEMS: EXTENSION TO BIVARIATE NORMAL MIXTURES

A. Hussien Department of Mathematical Sciences, University of Alberta, 114 St., 89th Arvec., Edmonton, Alberta, T6G2G1, Canada
&
K. C. Carrière Department of Mathematical Sciences, University of Alberta, 114 St., 89th Arvec., Edmonton, Alberta, T6G2G1, CanadaCorrespondence[email protected]
Pages 831-845 | Received 01 Feb 2001, Published online: 16 Aug 2006

REFERENCES

  • Averitt , B. and Hand , D. J. Finite Mixture Distributions 1981 Chapman and Hall .
  • Yao , Y. 1965 . An Approximate Degrees of Freedom Solution to the Multivariate Behrens-Fisher Problem . Biometrika , 52 : 139 – 147 .
  • James , G. S. 1954 . Tests of Linear Hypothesis in Univariate and Multivariate Analysis When the Ratios of the Variances Are Unknown . Biometrika , 42 : 19 – 43 .
  • Subrahmaniam , K. and Subrahmaniam , K. 1973 . On the Multivariate Behrens-Fisher Problem . Biometrika , 60 ( 1 ) : 107 – 112 .
  • Bennett , B. M. 1951 . Note on a Solution of the Generalized Behrens-Fisher Problem . Ann. Inst. Stat. Math. , 2 : 87 – 90 .
  • de la Rey , N. and Nel , D. G. 1993 . A Comparison of the Significance Levels and Power Functions of Several Solutions to the Multivariate Behrens-Fisher Problem . South African Statist. , 27 : 129 – 148 .
  • Kim , S.-J. 1992 . A Practical Solution to the Behrens-Fisher Problem . Biometrika , 1 ( 79 ) : 171 – 176 .
  • Christensen , W. F. and Rencher , A. C. 1997 . A Comparison of Type I Error Rates and Power Levels for Seven Solutions to the Multivariate Behrens-Fisher Problem . Communications in Statistics–Simulation and Computation , 26 : 1251 – 1273 .
  • Wilcox , R. R. 1995 . Simulation Results on Solutions to the Multivariate Behrens-Fisher Problem Via Trimmed Means . The Statistician , 44 ( 2 ) : 213 – 225 .
  • Johansen , S. 1980 . The Welch-James Approximation to the Distribution of the Residual Sum of Squares in a Weighted Linear Regression . Biometrika , 67 : 85 – 92 .
  • Jordan , S. M. and Krishnamoorthy , K. 1995 . Confidence Regions for the Common Mean Vector of Several Multivariate Normal Populations . The Canadian Journal of Statistics , 23 ( 3 ) : 283 – 297 .
  • Algina , J. , Oshima , T. and Tang , K. L. 1995 . Robustness of Yao's, James', and Johansen's Tests Under Variance–Covariance Heteroscedasticity and Nonnormality . Journal of Educational Statistics , 16 : 125 – 139 .
  • Keselman , H. J. , Carrière , K. C. and Lix , L. 1993 . Testing Repeated Measures Hypothesis When Covariance Matrices are Heterogeneous . J. Ed. Stat. , 18 ( 4 ) : 305 – 319 .
  • Keselman , H. J. , Carrière , K. C. and Lix , L. 1995 . Robust and Powerful Nonorthogonal Analysis . Psychometrika , 60 ( 3 ) : 395 – 418 .
  • Welch , B. L. 1936 . Specification of Rules for Rejecting to Variable a Product, With Particular Reference; to an Electric Lamp Problem . Journal of the Royal Statistical Society , Sup. 3 : 29 – 48 .
  • Srivastava , M. S. 1982 . On the Robustness of Hotelling's T2-Test and Distribution of Linear and Quadratic Forms in Sampling From a Mixture of Two Multivariate Normal Populations . Commun. Statist.–Theor. Meth. , 11 ( 1 ) : 81 – 107 .
  • Hussein , A. A. Robustness of Testing Procedures for Behrens-Fisher Problem with Normal Mixture Data 1999 University of Alberta . MSc Thesis

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