The NPAR1WAY Procedure

References

  • Agresti, A. (1992), “A Survey of Exact Inference for Contingency Tables,” Statistical Science, 7, 131–177.

  • Agresti, A. (2002), Categorical Data Analysis, 2nd Edition, New York: John Wiley & Sons.

  • Agresti, A. (2007), An Introduction to Categorical Data Analysis, 2nd Edition, New York: John Wiley & Sons.

  • Agresti, A., Mehta, C. R., and Patel, N. R. (1990), “Exact Inference for Contingency Tables with Ordered Categories,” Journal of the American Statistical Association, 85, 453–458.

  • Agresti, A., Wackerly, D., and Boyett, J. M. (1979), “Exact Conditional Tests for Cross-Classifications: Approximation of Attained Significance Levels,” Psychometrika, 44, 75–83.

  • Bishop, Y. M. M., Fienberg, S. E., and Holland, P. W. (1975), Discrete Multivariate Analysis: Theory and Practice, Cambridge, MA: MIT Press.

  • Conover, W. J. (1999), Practical Nonparametric Statistics, 3rd Edition, New York: John Wiley & Sons.

  • Critchlow, D. E. and Fligner, M. A. (1991), “On Distribution-Free Multiple Comparisons in the One-Way Analysis of Variance,” Communications in Statistics—Theory and Methods, 20, 127–139.

  • Dwass, M. (1960), “Some k-Sample Rank-Order Tests,” in I. Olkin, S. G. Ghurye, W. Hoeffding, W. G. Madow, and H. B. Mann, eds., Contributions to Probability and Statistics, 198–202, Stanford, CA: Stanford University Press.

  • Fligner, M. A. and Policello, G. E. (1981), “Robust Rank Procedures for the Behrens-Fisher Problem,” Journal of the American Statistical Association, 76, 162–168.

  • Gail, M. H. and Mantel, N. (1977), “Counting the Number of $r \times c$ Contingency Tables with Fixed Margins,” Journal of the American Statistical Association, 72, 859–862.

  • Gibbons, J. D. and Chakraborti, S. (2010), Nonparametric Statistical Inference, 5th Edition, New York: Chapman & Hall.

  • Hajek, J. (1969), A Course in Nonparametric Statistics, San Francisco: Holden-Day.

  • Halverson, J. O. and Sherwood, F. W. (1930), “Investigations in the Feeding of Cottonseed Meal to Cattle,” North Carolina Agricultural Experiment Station Technical Bulletin, 39, 158 pages.

  • Hodges, J. L., Jr. (1957), “The Significance Probability of the Smirnov Two-Sample Test,” Arkiv för Matematik, 3, 469–486.

  • Hodges, J. L., Jr. and Lehmann, E. L. (1983), “Hodges-Lehmann Estimators,” in S. Kotz, N. L. Johnson, and C. B. Read, eds., Encyclopedia of Statistical Sciences, volume 3, 642–645, New York: John Wiley & Sons.

  • Hollander, M. and Wolfe, D. A. (1999), Nonparametric Statistical Methods, 2nd Edition, New York: John Wiley & Sons.

  • Juneau, P. (2004), “Simultaneous Nonparametric Inference in a One-Way Layout Using the SAS System,” in Proceedings of PharmaSUG 2004 (Pharmaceutical Industry SAS User’s Group), Paper No. 04, Cary, NC: SAS Institute Inc.

  • Juneau, P. (2007), “Nonparametric Methods in Pharmaceutical Statistics,” in A. Dmitrienko, C. Chuang-Stein, and R. D’Agostino, eds., Pharmaceutical Statistics Using SAS: A Practical Guide, 117–150, Cary, NC: SAS Institute Inc.

  • Kiefer, J. (1959), “K-Sample Analogues of the Kolmogorov-Smirnov and Cramér–von Mises Tests,” Annals of Mathematical Statistics, 30, 420–447.

  • Lehmann, E. L. (1963), “Nonparametric Confidence Intervals for a Shift Parameter,” Annals of Mathematical Statistics, 34, 1507–1512.

  • Mehta, C. R. and Patel, N. R. (1983), “A Network Algorithm for Performing Fisher’s Exact Test in $r \times c$ Contingency Tables,” Journal of the American Statistical Association, 78, 427–434.

  • Mehta, C. R., Patel, N. R., and Senchaudhuri, P. (1991), “Exact Stratified Linear Rank Tests for Binary Data,” in E. M. Keramidas, ed., Computing Science and Statistics: Proceedings of the 23rd Symposium on the Interface, 200–207, Fairfax Station, VA: Interface Foundation.

  • Mehta, C. R., Patel, N. R., and Tsiatis, A. A. (1984), “Exact Significance Testing to Establish Treatment Equivalence with Ordered Categorical Data,” Biometrics, 40, 819–825.

  • Orban, J. and Wolfe, D. A. (1979), A Class of Distribution-Free Two-Sample Tests Based on Placements, Technical Report 178, Ohio State University, Department of Statistics.

  • Owen, D. B. (1962), Handbook of Statistical Tables, Reading, MA: Addison-Wesley.

  • Quade, D. (1966), “On Analysis of Variance for the k-Sample Problem,” Annals of Mathematical Statistics, 37, 1747–1758.

  • Randles, R. H. and Wolfe, D. A. (1979), Introduction to the Theory of Nonparametric Statistics, New York: John Wiley & Sons.

  • Sheskin, D. J. (1997), Handbook of Parametric and Nonparametric Statistical Procedures, Boca Raton, FL: CRC Press.

  • Steel, R. G. D. (1960), “A Rank Sum Test for Comparing All Pairs of Treatments,” Technometrics, 2, 197–207.

  • Valz, P. D. and Thompson, M. E. (1994), “Exact Inference for Kendall’s S and Spearman’s $\rho $ with Extensions to Fisher’s Exact Test in $r \times c$ Contingency Tables,” Journal of Computational and Graphical Statistics, 3, 459–472.