When comparing means of more than two groups, powers of two ranking methods for pairwise nonparametric simultaneous inference are compared, for various alternative hypotheses.
References
[1]
Kolassa, J.E. (2020) An Introduction to Nonparametric Statistics. Chapman and Hall/CRC.
[2]
Fisher, R.A. (1925) Statistical Methods for Research Workers. Oliver and Boyd.
[3]
Tukey, J.W. (1993) The Problem of Multiple Comparisons: Introduction and Parts A, B, and C. Princeton University.
[4]
Tukey, J.W. (1993) Reminder Sheets for “Allowances for Various Types of Error Rates”. In: Braun, H.I., Ed., The Collected Works of John W. Tukey Volume VIII: Multiple Comparisons, 1948-1983, Chapman and Hall, 335-339.
[5]
Kramer, C.Y. (1956) Extension of Multiple Range Tests to Group Means with Unequal Numbers of Replications. Biometrics, 12, 307-310. https://doi.org/10.2307/3001469
[6]
Erdös, P. and Réyni, A. (1959) On the Central Limit Theorem for Samples from a Finite Population. Publications of the Mathematical Institute of the Hungarian Academy of Sciences, 4, 49-61.
Gebhart, L. and Kolassa, J. (2024) Adjustments for Kurtosis and Continuity on the Prentice Test. Advances in Pure Mathematics, 14, 101-117. https://doi.org/10.4236/apm.2024.142005
[9]
Cornish, E.A. and Fisher, R.A. (1938) Moments and Cumulants in the Specification of Distributions. Revue de l’Institut International de Statistique/Review of the International Statistical Institute, 5, 307-320. https://doi.org/10.2307/1400905
[10]
Kolassa, J.E. (2006) Series Approximation Methods in Statistics. 3rd Edition, Springer-Verlag.