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Original Articles

On the Weak Consistency of Permutation Tests

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Pages 1368-1379 | Received 01 Dec 2011, Accepted 30 Mar 2012, Published online: 28 Dec 2012

References

  • Berry , K. J. and Mielke , P. W. 1983 . Moment approximations as an alternative to the F test in analysis of variance . British Journal of Mathematical and Statistical Psychology , 36 : 202 – 206 .
  • Berti , P. and Rigo , P. 1997 . A Glivenko-Cantelli theorem for exchangeable random variables . Statistics & Probability Letters , 32 : 385 – 391 .
  • Braun , T. M. and Feng , Z. 2001 . Optimal permutation tests for the analysis of group randomized trials . Journal of the American Statistical Association , 96 : 1424 – 1432 .
  • Chung , K. L. 1974 . A Course in Probability Theory. 2nd ed , New York : Academic Press .
  • Hoeffding , W. 1952 . The large-sample power of tests based on permutations of observations . Annals of Mathematical Statistics , 23 : 169 – 192 .
  • Janssen , A. and Pauls , T. 2003 . How do bootstrap and permutation tests work? . The Annals of Statistics , 31 : 768 – 806 .
  • Lehmann , E. L. 1951 . Consistency and unbiasedness of certain nonparametric tests . Annals of Mathematical Statistics , 22 : 165 – 179 .
  • Lehmann , E. L. 1986 . Testing Statistical Hypotheses. 2nd ed , New York : Wiley .
  • Marozzi , M. 2004 . A bi-aspect nonparametric test for the two-sample location problem . Computational Statistics & Data Analysis , 44 : 639 – 648 .
  • Marozzi , M. and Salmaso , L. 2006 . Multivariate bi-aspect testing for the two-sample location problem . Communication in Statistics—Theory and Methods , 35 : 477 – 488 .
  • Mehta , C. R. and Patel , N. R. 1980 . A network algorithm for the exact treatment of the 2 × K contingency table . Communications in Statistics—Simulation and Computation , 9 : 649 – 664 .
  • Mehta , C. R. and Patel , N. R. 1983 . A network algorithm for performing Fisher’s exact test in r × c contingency tables . Journal of the American Statistical Association , 78 : 427 – 434 .
  • Pagano , M. and Tritchler , D. 1983 . On obtaining permutation distributions in polynomial time . Journal of the American Statistical Association , 78 : 435 – 440 .
  • Pesarin , F. 1990 . On a nonparametric combination method for dependent permutation tests with applications . Psychotherapy and Psychosomatics , 54 : 172 – 179 .
  • Pesarin , F. 1992 . A resampling procedure for nonparametric combination of several dependent tests . Journal of the Italian Statistical Society , 1 : 87 – 101 .
  • Pesarin , F. 2001 . Multivariate Permutation Tests With Applications in Biostatistics , Chichester : Wiley .
  • Pesarin , F. and Salmaso , L. 2009 . Finite-sample consistency of combination-based permutation tests with application to repeated measures designs . Journal of Nonparametric Statistics , 22 : 669 – 684 .
  • Pesarin , F. and Salmaso , L. 2010 . Permutation Tests for Complex Data: Theory, Applications and Software , Chichester : Wiley .
  • Randles , R. H. and Wolfe , D. A. 1979 . Introduction to The Theory of Nonparametric Statistics , New York : Wiley .
  • Romano , J. P. 1989 . Bootstrap and randomization tests of some nonparametric hypotheses . The Annals of Statistics , 17 : 141 – 159 .
  • Romano , J. P. 1990 . On the behavior of randomization tests without a group invariance assumption . Journal of the American Statistical Association , 85 : 686 – 692 .
  • Salmaso , L. and Solari , A. 2005 . Multiple aspect testing for case-control designs . Metrika , 62 : 331 – 340 .
  • Shorack , G. R. and Wellner , J. A. 1986 . Empirical Processes with Applications to Statistics , New York : Wiley .
  • Strasser , H. and Weber , Ch . 1999 . The asymptotic theory of permutation statistics . Mathematical Methods of Statistics , 8 : 220 – 250 .
  • Taylor , R. L. and Hu , T. C. 1987 . On laws of large numbers for exchangeable random variables . Stochastic Analysis and Applications , 5 : 323 – 334 .
  • van der Vaart , A. W. and Wellner , J. A. 1996 . Weak Convergence of Empirical Processes With Applications to Statistics , New York : Springer-Verlag .

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