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General

Why Permutation Tests are Superior to t and F Tests in Biomedical Research

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Pages 127-132 | Received 01 Jun 1995, Published online: 22 Mar 2012

References

  • Bennett , J. H. 1990 . Statistical Inference and Analysis: Selected Correspondence of R.A. Fisher , Oxford : Clarendon Press .
  • Boik , R. J. 1987 . “The Fisher-Pitman Permutation Test: A Non-Robust Alternative to the Normal Theory F Test When Variances are Heterogeneous,” . British Journal of Mathematical and Statistical Psychology , 40 : 26 – 42 .
  • Box , G. E. P. and Anderson , S. L. 1955 . “Permutation Theory in the Derivation of Robust Criteria and the Study of Departures from Assumption,” . Journal of the Royal Statistical Society , 17 : 1 – 26 . Ser. B
  • Box , G. E. P. , Hunter , W. G. and Hunter , J. S. 1978 . Statistics for Experimenters: An Introduction to Design, Data Analysis, and Model Building , New York : Wiley .
  • Bradley , J. V. 1968 . Distribution-Free Statistical Tests, , 2nd ed. , Eagle-wood Cliffs , NJ : Prentice Hall .
  • Eden , T. and Yates , F. 1933 . “On the Validity of Fisher's z Test When Applied to an Actual Example of Non-Normal Data,” . Journal of Agricultural Science , 23 : 6 – 16 .
  • Edgington , E. S. 1995 . Randomization Tests, , 3rd ed. , New York : Marcel Dekker .
  • Feinstein , A. R. 1973 . “Clinical Biostatistics. XIII. The Role of Randomization in Sampling, Testing, Allocation, and Credulous Idolatry (Part 2),” . Journal of Clinical Pharmacology and Therapeutics , 14 : 898 – 915 .
  • Fisher , R. A. 1936 . “The Coefficient of Racial Likeness’ and the Future of Craniometry,” . Journal of the Royal Anthropological Society , 66 : 57 – 63 .
  • Fisher , R. A. 1971 . The Design of Experiments, , 8th ed. , New York : Hafner Publishing .
  • 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 .
  • Kempthorne , O. 1955 . “The Randomization Theory of Experimental Inference,” . Journal of the American Statistical Association , 50 : 946 – 967 .
  • Kempthorne , O. and Doerfler , T. E. 1969 . “The Behavior of Some Significance Tests Under Experimental Randomization,” . Biometrika , 56 : 231 – 248 .
  • Lehmann , E. L. 1975 . Nonparametrics: Statistical Methods Based on Ranks , San Francisco : Holden Day .
  • Ludbrook , J. 1994 . “Advantages of Permutation (Randomization) Tests in Clinical and Experimental Pharmacology and Physiology,” . Clinical and Experimental Pharmacology and Physiology , 21 : 673 – 686 .
  • Ludbrook , J. 1996 . “The Wilcoxon-Mann-Whitney Test Condemned,” . British Journal of Surgery , 83 : 136 – 137 . (letter)
  • Ludbrook , J. and Dudley , H. A. F. 1994 . “Issues in Biomedical Statistics: Statistical Inference,” . Australian and New Zealand Journal of Surgery , 64 : 630 – 636 .
  • Manly , B. F. J. 1997 . Randomization, Bootstrap and Monte Carlo Methods in Biology, , 2nd ed. , London : Chapman & Hall .
  • Neyman , J. 1934 . “On the Two Different Aspects of the Representative Method: The Method of Stratified Sampling and the Method of Purposive Selection,” . Journal of the Royal Statistical Society , 97 : 558 – 606 .
  • Neyman , J. and Pearson , E. S. 1928 . “On the Use and Interpretation of Certain Test Criteria for Purposes of Statistical Inference. Part I,” . Biometrika , 20A : 175 – 240 .
  • Neyman , J. and Pearson , E. S. “The Testing of Statistical Hypotheses in Relation to Probabilities a priori,” . Proceedings of the Cambridge Philosophical Society . Vol. 20 , pp. 492 – 510 .
  • Pitman , E. J. G. 1937 . “Significance Tests Which May be Applied to Samples from Any Population,” . Journal of the Royal Statistical Society , 4 : 119 – 130 . Ser. B
  • Romano , J. P. 1990 . “On the Behavior of Randomization Tests without a Group Invariance Assumption,” . Journal of the American Statistical Association , 85 : 686 – 692 .
  • Scheffé , H. 1959 . The Analysis of Variance , New York : Wiley .
  • Siegel , S. and Castellan , N. J. 1988 . Nonparametric Statistics for the Behavioral Sciences, , 2nd ed. , New York : McGraw-Hill .
  • Welch , B. L. 1937a . “On the z-Test in Randomized Blocks and Latin Squares,” . Biometrika , 29 : 21 – 52 .
  • Welch , B. L. 1937b . “The Significance of the Difference Between Two Means When the Population Variances are Unequal,” . Biometrika , 29 : 350 – 362 .
  • Wilcoxon , F. 1945 . “Individual Comparisons by Ranking Methods,” . Biometrics , 1 : 80 – 83 .

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