Combining Independent Permutation p Values Associated with Mann-Whitney Test Data

Um, Yonghwan

Journal of The Korea Society of Computer and Information

Abbr : JKSCI
2018, 23(7), pp.99-104
Publisher : The Korean Society Of Computer And Information
Research Area : Computer Science

Um, Yonghwan ¹

¹성결대학교

ABSTRACT

In this paper, we compare Fisher’s continuous method with an exact discrete analog of Fisher’s continuous method from permutation tests for combining p values. The discrete analog of Fisher’s continuous method is known to be adequate for combining independent p values from discrete probability distributions. Also permutation tests are widely used as alternatives to conventional parametric tests since these tests are distribution-free, and yield discrete probability distributions and exact p values. In this paper, we obtain permutation p values from discrete probability distributions using Mann-Whitney test data sets (real data and hypothetical data) and combine p values by the exact discrete analog of Fisher’s continuous method.
KEYWORDS

Discrete analog of Fisher‘s continuous method, Combining p values, Permutation test
REFERENCES (16)

[book] R. A. Fisher / 1934 / Statistical methods for research workers / Oliver & Boyd

[book] S. A. Stouffer / 1949 / The American Soldier, Adjustment During Army Life / Princeton Univ. Press

[journal] R. J. Simes / 1986 / An improved Bonferroni procedure for multiple tests of significance / Biometrics 73 : 751~754 / 10.1093/biomet/73.3.751

[journal] D.V. Zaykin / 2002 / Truncated product method for combiningP-values / Genetic Epidemiology / Wiley 22(2) : 170~185 / 10.1002/gepi.0042

[journal] 선정연 / 2013 / New Method for Combining P-values in Meta-Analysis / 응용통계연구 / 한국통계학회 26(5) : 797~806

[book] P. I. Good / 2000 / Permutation tests: a practical guide to resampling methods for testing hypotheses / Springer-Verlag

[book] P. I. Good / 2001 / Resampling methods: a practical guide to data analysis / Birkhauser

[book] C. E. Lunneborg / 2000 / Analysis by resampling: concepts and applications / Duxbury

[book] E. Pesarin / 2001 / Multivariate permutation tests: with applications in biostatistics / Wiley

[journal] E. J. G. Pitman / 1937 / Significance tests which may be appliedc to samples from any populations / Journal of the Royal Statistical Society 4 : 119~130

[journal] E. J. G. Pitman / 1937 / Significance tests which may be appliedc to samples from any populations: II / Journal of the Royal Statistical Society 4 : 225~232

[journal] E. J. G. Pitman / 1938 / Significance tests which may be appliedc to samples from any populations, III. The analysis of variance tests / Biometrika 29 : 322~335

[journal] Paul W. Mielke / 2016 / Combining Probability Values from Independent Permutation Tests: A Discrete Analog of Fisher's Classical Method / Psychological Reports / SAGE Publications 95(2) : 449~458 / 10.2466/pr0.95.2.449-458

[journal] Paul W. Mielke / 2016 / Comparisons of Continuous and Discrete Methods for Combining Probability Values Associated with Matched-Pairs t -Test Data / Perceptual and Motor Skills / SAGE Publications 100(3) : 799~805 / 10.2466/pms.100.3.799-805

[journal] W. M. Kincaid / 1962 / The Combination of Tests Based on Discrete Distributions / Journal of the American Statistical Association / Informa UK Limited 57(297) : 10~19 / 10.1080/01621459.1962.10482147

[book] P. W. Mielke Jr. / 2007 / Permutation methods: a distance function approach (2nd ed.) / Springer-Verlag
KCI Citation (1)

KJC Korea
Journal Central

Statistics

Tools