Journal of Applied Mathematics and Decision Sciences
Volume 2006 (2006), Article ID 31089, 9 pages
doi:10.1155/JAMDS/2006/31089

Nonparametric analysis of blocked ordered categories data: some examples revisited

D. J. Best,1 J. C. W. Rayner,1 and O. Thas2

1School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia
2Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Gent 9000, Belgium

Received 5 October 2005; Revised 12 May 2006; Accepted 15 May 2006

Copyright © 2006 D. J. Best et al. 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. A. Agresti, Categorical Data Analysis, Wiley Series in Probability and Statistics, John Wiley & Sons, New York, 2nd edition, 2002.
  2. M. Alvo and P. Cabilio, “Testing ordered alternatives in the presence of incomplete data,” Journal of the American Statistical Association, vol. 90, no. 431, pp. 1015–1024, 1995.
  3. R. L. Anderson, “Use of contingency tables in the analysis of consumer preference studies,” Biometrics, vol. 15, pp. 582–590, 1959.
  4. J. V. Bradley, Distribution-Free Statistical Tests, Prentice-Hall, New Jersey, 1968.
  5. W. G. Cochran, “Some methods for strengthening the common χ2 tests,” Biometrics, vol. 10, pp. 417–451, 1954.
  6. C. S. Davis, Statistical Methods for the Analysis of Repeated Measurements, Springer Texts in Statistics, Springer, New York, 2002.
  7. M. M. Desu and D. Raghavarao, Nonparametric Statistical Methods for Complete and Censored Data, Chapman & Hall/CRC, Florida, 2004.
  8. M. Friedman, “The use of ranks to avoid the assumption of normality implicit in the analysis of variance,” Journal of the American Statistical Association, vol. 32, no. 200, pp. 675–701, 1937.
  9. IMSL, “IMSL User's Guide-Mathematical & Statistical Functions,” Houston: Visual Numerics. 1995.
  10. W. H. Kruskal and W. A. Wallis, “Use of ranks in one-criterion analysis of variance,” Journal of the American Statistical Association, vol. 47, no. 260, pp. 583–621, 1952.
  11. N. Mantel and W. Haenszel, “Statistical aspects of the analysis of data from retrospective studies of disease,” Journal of the National Cancer Institute, vol. 22, pp. 719–748, 1959.
  12. Q. McNemar, “Note on the sampling error of the difference between correlated proportions or percentages,” Psychometrika, vol. 12, no. 2, pp. 153–157, 1947.
  13. M. Meilgaard, G. V. Civille, and B. T. Carr, Sensory Evaluation Techniques, CRC Press, Florida, 3rd edition, 1999.
  14. E. B. Page, “Ordered hypotheses for multiple treatments: a significance test for linear ranks,” Journal of the American Statistical Association, vol. 58, no. 301, pp. 216–230, 1963.
  15. S. C. Pearce, “Supplemented balance,” Biometrika, vol. 47, no. 3-4, pp. 263–271, 1960.
  16. J. C. W. Rayner and D. J. Best, A Contingency Table Approach to Nonparametric Testing, Chapman & Hall/CRC, Florida, 2001.
  17. J. C. W. Rayner, D. J. Best, P. B. Brockhoff, and G. D. Rayner, Nonparametrics for Sensory Science: A More Informative Approach, Blackwell, Iowa, 2005.
  18. A. Stuart, “A test for homogeneity of the marginal distributions in a two-way classification,” Biometrika, vol. 42, no. 3-4, pp. 412–416, 1955.
  19. F. Yates, “The analysis of contingency tables with groupings based on quantitative characters,” Biometrika, vol. 35, no. 1-2, pp. 176–181, 1948.