Table of Contents Author Guidelines Submit a Manuscript
Journal of Probability and Statistics
Volume 2011, Article ID 484272, 10 pages
http://dx.doi.org/10.1155/2011/484272
Research Article

Simultaneous Inference on All Linear Combinations of Means with Heteroscedastic Errors

1Department of Statistics, University of Central Florida, Orlando, FL 32816, USA
2School of Nursing, University of Alabama at Birmingham, Birmingham, AL 35294, USA

Received 22 May 2011; Accepted 8 August 2011

Academic Editor: Alan M. Polansky

Copyright © 2011 Xin Yan and Xiaogang Su. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. Scheffé, “A method for judging all contrasts in the analysis of variance,” Biometrika, vol. 40, pp. 87–104, 1953. View at Google Scholar · View at Zentralblatt MATH
  2. H. Scheffé, The Analysis of Variance, John Wiley & Sons, New York, NY, USA, 1959.
  3. H. Scheffé, “Practical solutions of the Behrens-Fisher problem,” Journal of the American Statistical Association, vol. 65, pp. 1501–1504, 1970. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. C. W. Dunnett, “Pairwise multiple comparison in the unequal variance case,” Journal of American Statistical Association, vol. 75, pp. 796–800, 1980. View at Publisher · View at Google Scholar
  5. C. W. Dunnett, “Pairwise multiple comparisons in the homogeneous variance, unequal sample size case,” Journal of American Statistical Association, vol. 75, pp. 789–795, 1980. View at Publisher · View at Google Scholar
  6. D. G. Nel and C. A. van der Merwe, “A solution to the multivariate Behrens-Fisher problem,” Communications in Statistics. Simulation and Computation, vol. 15, no. 12, pp. 3719–3735, 1986. View at Publisher · View at Google Scholar
  7. S. J. Kim, “A practical solution to the multivariate Behrens-Fisher problem,” Biometrika, vol. 79, no. 1, pp. 171–176, 1992. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. R. R. Wilcox, “Simulation results on solutions to the multivariate Behrens-Fisher problem via trimmed means,” The Statistician, vol. 44, pp. 213–225, 1995. View at Publisher · View at Google Scholar
  9. W. F. Christensen and A. C. Rencher, “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, vol. 26, no. 4, pp. 1251–1273, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  10. R. T. Fouladi and R. D. Yockey, “Type I error control of two-group multivariate tests on means under conditions of heterogeneous correlation structure and varied multivariate distributions,” Communications in Statistics. Simulation and Computation, vol. 31, no. 3, pp. 375–400, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. D. R. Hoover, “Clinical trials of behavioural interventions with heterogeneous teaching subgroup effects,” Statistics in Medicine, vol. 30, pp. 1351–1364, 2002. View at Publisher · View at Google Scholar · View at PubMed
  12. G. Casella and R. L. Berger, Statistical Inference, Duxbury, 2001.
  13. J. C. Hsu, Multiple Comparisons, Theory and Methods, Chapman and Hall/CRC, London, UK, 1999.
  14. L. J. Solomon, R. H. Secker-Walker, J. M. Skelly, and B. S. Flynn, “Stages of change in smoking during pregnancy in low-income women,” Journal of Behavioral Medicine, vol. 19, no. 4, pp. 333–344, 1996. View at Publisher · View at Google Scholar