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 ed. New York: John Wiley & Sons.

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

  • Agresti, A. (2013). Categorical Data Analysis. 3rd ed. Hoboken, NJ: 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 ed. 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 Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling, edited by I. Olkin, S. G. Ghurye, W. Hoeffding, W. G. Madow, and H. B. Mann, 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 ed. 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.

  • Hirji, K. F. (2006). Exact Analysis of Discrete Data. Boca Raton, FL: Chapman & Hall/CRC.

  • 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. (1962). “Rank Methods for Combination of Independent Experiments in Analysis of Variance.” Annals of Mathematical Statistics 33:482–497.

  • Hodges, J. L., Jr., and Lehmann, E. L. (1983). “Hodges-Lehmann Estimators.” In Encyclopedia of Statistical Sciences. vol. 3, edited by S. Kotz, N. L. Johnson, and C. B. Read. New York: John Wiley & Sons.

  • Hollander, M., and Wolfe, D. A. (1999). Nonparametric Statistical Methods. 2nd ed. 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 Users Group). Paper No. 04. Cary, NC: SAS Institute Inc.

  • Juneau, P. (2007). “Nonparametric Methods in Pharmaceutical Statistics.” In Pharmaceutical Statistics Using SAS: A Practical Guide, edited by A. Dmitrienko, C. Chuang-Stein, and R. D’Agostino, 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.

  • Lehmann, E. L., and D’Abrera, H. J. M. (2006). Nonparametrics: Statistical Methods Based on Ranks. Rev. ed. New York: Springer Science & Business Media.

  • Mehrotra, D. V., Lu, X., and Li, X. (2010). “Rank-Based Analyses of Stratified Experiments: Alternatives to the van Elteren Test.” American Statistician 64:121–130.

  • 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 Computing Science and Statistics: Proceedings of the Twenty-Third Symposium on the Interface, edited by E. M. Keramidas, 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, Department of Statistics, Ohio State University.

  • 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.

  • Van Elteren, P. H. (1960). “On the Combination of Independent Two-Sample Tests of Wilcoxon.” Bulletin of the International Statistical Institute 37:351–361.