References
- Azzalini, A. (2005). The skew-normal distribution and related multivariate families (with discussion). Scandinavian Journal of Statistics 32:159–188.
- Barefield, E. W., Mansouri, H. (2001). An empirical study of nonparametric multiple comparison procedures in randomized blocks. Nonparametric Statistics 13:591–604.
- Bargagliotti, A. E., Greenwell, R. N. (2015). Combinatorics and statistical issues related to the kruskal-wallis statistic. Communications in Statistics - Simulation and Computation 44:533–550.
- Benjamini, Y., Hochberg, Y. (1995). Controlling the false discovery rate: A practical and powerful approach to multiple testing. Journal of the Royal Statistical Society Series B 57:289–300.
- Boehnke, K. (1984). F- and h-test assumptions revisited. Educational and Psychological Measurement 44:609–615.
- Campbell, G., Skillings, J. H. (1985). Nonparametric stepwise multiple comparison procedures. Journal of the American Statistical Association 80:998–1003.
- Choi, W., Lee, J. W., Huh, M., and Kang, S. (2003). An algorithm for computing the exact distribution of the kruskal-wallis test. Communications in Statistics - Simulation and Computation 32:1029–1040.
- Cohen, A., Ma, Y., and Sackrowitz, H. (2013). Nonparametric multiple testing procedures. Journal of Statistical Planning and Inference 143:1753–1765.
- Cohen, A., Sackrowitz, H. B. (2012). Multiple rank tests for pairwise comparisons. Contemporary Developments in Bayesian Analysis and Statistical Decision Theory 8:57–63.
- Conover, W. J. (1999). Practical Nonparametric Statistics. 3rd ed. New York: Wiley.
- Critchlow, D. E., 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.
- Damico, J., Wolfe, D. (1987). Extended tables of the exact distribution of a rank statistic for all treatments multiple comparisons in a one-way layout. Communications in Statistics: Theory and Methods 16:2343–2360.
- Demirhan, H., Dolgun, N. A., Demirhan, Y. P., and Dolgun, M. O. (2010). Performance of some multiple comparison tests under heteroscedasticity and dependency. Journal of Statistical Computation and Simulation 80:1083–1100.
- Duncan, D. B. (1955). Multiple range and multiple f tests. Biometrics 11:1–42.
- Dunn, O. J. (1964). Multiple comparisons using rank sums. Technometrics 6:241–252.
- Dwass, M. (1960). Some k-Sample Rank-Order Tests: Contributions to Probability and Statistics. Stanford, CA: Stanford University Press, pp. 198–202.
- Einot, I., Gabriel, K. R. (1975). A study of the powers of several methods of multiple comparisons. Journal of the American Statistical Association 70:574–583.
- Gabriel, K. R., Lachenbruch, P. A. (1969). Nonparametric anova in small samples: A monte carlo study of the adequacy of the asymptotic approximation. Biometrics 25:593–596.
- Herberich, E., Sikorski, J., and Hothorn, T. (2010). A robust procedure for comparing multiple means under heteroscedasticity in unbalanced designs. PLoS ONE 5:e9788.
- Hochberg, Y., Tamhane, A. (1987). Multiple Comparison Procedures. New York: Wiley.
- Hollander, M. (1966). An asymptotically distribution-free multiple comparison procedure-treatments versus control. Annals of Mathematical Statistics 37:735–738.
- Hollander, M., Wolfe, D. A. (1999). Nonparametric Statistical Methods. New York: Wiley.
- Holm, S. (1979). A simple sequentially rejective multiple test procedure. Scandinavian Journal of Statistics 6:65–70.
- Keselman, H. J., Rogan, J. C., and Feir-Walsh, B. J. (1977). An evaluation of some non-parametric and parametric tests for location equality. British Journal of Mathematical and Statistical Psychology 30:213–221.
- Keselman, H. J., Wilcox, R. R. (2005). Multiple Comparison Tests: Nonparametric and Resampling Approaches. In: Encyclopedia of Statistics in Behavioral Science. Chichester: Wiley, pp. 1325–1331.
- Koziol, J. A., Reid, N. (1977). On the asymptotic equivalence of two ranking methods for k-sample linear rank statistics. The Annals of Statistics 5:1099–1106.
- Lehmann, E. L. (1975). Nonparametrics: Statistical Methods Based on Ranks. San Francisco: Holden - Day.
- Lin, F. A., Haseman, J. K. (1978). An evaluation of some nonparametric multiple comparison procedures by monte carlo methods. Communications in Statistics -Simulation and Computation 7:117–128.
- Mansouri, H. (2015). Simultaneous inference based on rank statistics in linear models. Journal of Statistical Computation and Simulation 85:660–674.
- Miller, R. G. (1981). Simultaneous Statistical Inference. 2nd ed. New York: Springer.
- Nemenyi, P. (1963). Distribution-free Multiple Comparisons. Unpublished Doctoral Dissertation, Princeton University.
- Neuhauser, M., Bretz, F. (2001). Nonparametric all-pairs multiple comparisons. Biometrical Journal 43:571–580.
- Pihur, V., Datta, S., and Datta, S. (2007). Weighted rank aggregation of cluster validation measures: A monte carlo cross-entropy approach. Bioinformatics 23:1607–1615.
- Pihur, V., Datta, S., and Datta, S. (2012). RankAggreg: Weighted rank aggregation. R package version 0.4-3.
- Ramsey, P. H. (1978). Power differences between pairwise multiple comparisons. Journal of the American Statistical Association 73:479–485.
- Ramsey, P. H., Barrera, K., Hachimine-Semprebom, P., and Liu, C. (2011). Pairwise comparisons of means under realistic nonnormality, unequal variances, outliers and equal sample sizes. Journal of Statistical Computation and Simulation 81:125–135.
- Ramsey, P. H., Ramsey, P. P., and Barrera, K. (2010). Choosing the best pairwise comparisons of means from non-normal populations, with unequal variances, but equal sample sizes. Journal of Statistical Computation and Simulation 80:595–608.
- Rublik, F. (2005). On rank based multiple comparisons for the balanced sample sizes. Measurement Science Review 5:23–26.
- Ryan, T. A. (1960). Significance tests for multiple comparison of proportions, variances, and other statistics. Psychological Bulletin 57:318–328.
- Sherman, E. (1965). A note on multiple comparisons using rank sums. Technometrics 7:255–256.
- Shuster, J. J., Boyett, J. M. (1979). Nonparametric multiple comparison procedures. Journal of the American Statistical Association 74:379–382.
- Skillings, J. H. (1983). Nonparametric approaches to testing and multiple comparisons in a one-way anova. Communications in Statistics - Simulation and Computation 12:373–387.
- Spurrier, J. D. (2006). Additional tables for Steel-Dwass-Critchlow-Fligner distribution-free multiple comparisons of three treatments. Communications in Statistics - Simulation and Computation 35:441–446.
- Steel, R. G. D. (1960). A rank sum test for comparing all pairs of treatments. Technometrics 2:197–207.
- Steel, R. G. D. (1961). Some rank sum multiple comparisons tests. Biometrics 17:539–552.
- Westfall, P. H., Young, S. S. (1993). Resampling-Based Multiple Testing: Examples and Methods for P value Adjustment. New York: Wiley.
- Zimmerman, D. W. (2000). Statistical significance levels of nonparametric tests biased by heterogeneous variances of treatment groups. The Journal of General Psychology 127:354–364.