A sequential approximation to a permutation test

References

• Bell , C. and Smith , R. 1972 . Completeness theorems for distribution free statistics . Institute of Stat. Math. Ann , 24
   Web of Science ®Google Scholar
• Bickel , P. M. and Van Zwet , W. R. 1978 . Asymptotic expansions for the power of distribution free tests in the two sample problem . Annals of Statistics , 6 : 987 – 1004 .
   Web of Science ®Google Scholar
• Bradley, J.V. (1968). Distribution-Free Statistical Tests, Englewood Cliffs:Prentice-Hall
   Google Scholar
• Dwass , M. 1957 . Modified randomization tests . Annals of Mathematical Statistics , 28 : 181 – 187 .
   Google Scholar
• Fisher , R. A. 1935 . Design of Experiments , Edinburg : Oliver and Boyd .
   Google Scholar
• Gleason , J. R. 1986 . TURBO RAND:a library for fast Monte Carlo sampling and simulation on microcomputers . American Statistician , 40 : 3 – 233 .
   Google Scholar
• Green , B. 1977 . A practical interactive program for randomization tests of location . American Statistician , 31 ( 1 ) : 37 – 39 .
   Web of Science ®Google Scholar
• Hartigan , J. 1969 . Usingsubsample values as typical values . JASA , 64 ( 1 ) : 1303 – 1317 .
   Google Scholar
• Hoeffding , W. 1952 . The large sample power of tests based on permutations of observations . Annals of Mathematical Statistics , 23 ( 1 ) : 169 – 192 .
   Google Scholar
• keller-mcnulty , S. and Higgins , J. 1987 . Effect of tail weight and outliers on power and type-I error of robust permutation tests of location . Communications in Statistics - Simulation and Computation , 16 ( 1 ) : 17 – 35 .
   Web of Science ®Google Scholar
• Kempthome , O. and Folks , L. 1971 . Probability, Statistics, and Data Analysis , Ames : Iowa State University Press .
   Google Scholar
• Lambett , D. and Hall , W. J. 1982 . Asymptotic lognormality of p-values . Annals of Statistics , 10 ( 1 ) : 44 – 64 .
   Web of Science ®Google Scholar
• Lehmann , E. and Stein , C. 1949 . On the theory of some nonparametric hypotheses . Annals of Mathematical Statistics , 20 ( 1 ) : 28 – 45 .
   Google Scholar
• Mielke , P. W. , Berry , K. J. and Johnson , E. S. 1976 . Multi-response permutation procedures for a priori classifications . Communications in Statistics - Theory and Methods , 5 ( 14 ) : 1409 – 1424 .
   Web of Science ®Google Scholar
• Pagano , M. and Trichler , D. 1983 . On obtaining permutation distributions in polynomial time . JASA , 78 ( 382 ) : 434 – 440 .
   Web of Science ®Google Scholar
• 1937 . Significance tests which may be applied to samples from any population . Supplement of the Journal of the Royal Statistical Society , 4 ( 382 ) : 119 – 130 .
   Google Scholar
• Streitberg , B. and Rhomel , J. 1984 . Exact nonparametrics in APL . Proceedings of ACM Conference on APL , 4 ( 382 ) : 313 – 325 .
   Google Scholar
• Wald , A. 1947 . Sequential Analysis , New York : Wiley .
   Google Scholar
• Wilcoxon , F. 1945 . Individual comparisons by ranking methods . Biometrics , 1 : 80 – 83 .
   Web of Science ®Google Scholar