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Evolving benchmark functions using kruskal-wallis test

Proceedings of the Genetic and Evolutionary Computation Conference Companion, 2018
Evolutionary algorithms are cost-effective for solving real-world optimization problems, such as NP-hard and black-box problems. Before an evolutionary algorithm can be put into real-world applications, it is desirable that the algorithm was tested on a number of benchmark problems.
Yang Lou, Shiu Yin Yuen, Guanrong Chen
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A Multivariate Kruskal-Wallis Test With Post Hoc Procedures

Multivariate Behavioral Research, 1980
An explicit statement of a statistic which is a nonparametric analogue to one-way MANOVA is presented. The statistic is a multivariate extension of the nonparametric Kruskal-Wallis test (1952). The large sample reference distribution of the test statistic is derived together with a set of computational formulas for the test statistic.
B M, Katz, M, McSweeney
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A NOTE ON A MULTIVARIATE GENERALIZATION OF THE KRUSKAL‐WALLIS TEST

Decision Sciences, 1975
Marketers are often interested in testing whether the mean vectors of multivariate distributions are equal. The test usually applied, one‐way MANOVA, assumes the distributions are multinormal. Unfortunately, this assumption is not supported in many studies.
James F. Horrell, V. Parker Lessig
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On the null distribution of the Kruskal–Wallis statistic

Journal of Nonparametric Statistics, 2003
This article extends existing tables of null probability points for the Kruskal–Wallis statistic and compares various methods for approximating these probability points. Van de Wiel's technique of partitioning the combined ranking into the upper and lower ranks is combined with Iman, Quade, and Alexander's recursive formula to find the joint ...
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A Basic Program for Computing the Kruskal-Wallis H

Educational and Psychological Measurement, 1988
A computer program is described and presented which computes the Kruskal-Wallis H statistic. This program was written in BASIC for the Commodore 64/128 and IBM-PC.
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Analysis of variance and the Kruskal–Wallis test

2008
In this section, we consider comparisons among more than two groups parametrically, using analysis of variance, as well as nonparametrically, using the Kruskal–Wallis test. Furthermore, we look at two-way analysis of variance in the case of one observation per cell.
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The Kruskal-Wallis test

2003
Stephen Ashcroft, Chris Pereira
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Çok boyutlu durumda Kruskal-Wallis testi

2021
In the 1, part of this study trend test statistic is analyzed in term ofmultivariate commponentwise. In this method, as it was seen in Bickel?s(1965) studies, among the observations the high corelation don?t work . Thereason of this is the method which isn?t invariant.In the second part using Oja rank functions which one invariant due torelative even ...
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