Rank Transformations as a Bridge between Parametric and Nonparametric Statistics

References

• Conover , W. J. 1980 . Practical Nonparametric Statistics, , 2nd ed. , New York : John Wiley .
   Google Scholar
• Conover , W. J. and Iman , Ronald L. 1976 . “On Some Alternative Procedures Using Ranks for the Analysis of Experimental Designs,” . Communications in Statistics , 5 : 1348 – 1368 . Ser. A
   Google Scholar
• Conover , W. J. and Iman , Ronald L. “Small Sample Efficiency of Fisher's Randomization Test when Applied to Experimental Designs,” . Manuscript presented at the annual meeting of the American Statistical Association . August 1980 , Houston . unpublished
   Google Scholar
• Conover , W. J. and Iman , Ronald L. 1980b . “Analysis of Covariance Using the Rank Transformation,” unpublished manuscript
   Google Scholar
• Conover , W. J. and Iman , Ronald L. 1980c . “The Rank Transformation as a Method of Discrimination with Some Examples,” . Communications in Statistics , 9 : 465 – 487 . Ser. A
   Google Scholar
• Hogg , Robert V. and Randles , Ronald H. 1975 . “Adaptive Distribution-Free Regression Methods and Their Applications,” . Technometrics , 17 : 399 – 407 .
   Web of Science ®Google Scholar
• Iman , Ronald L. 1974a . “Use of a t-statistic as an Approximation to the Exact Distribution of the Wilcoxon Signed Ranks Test Statistic,” . Communications in Statistics , 3 : 795 – 806 .
   Google Scholar
• Iman , Ronald L. 1974a . “A Power Study of a Rank Transform for the Two Way Classification Model When Interaction May be Present,” . Canadian Journal of Statistics , 2 : 227 – 239 . (1974b)
   Google Scholar
• Iman , Ronald L. 1974a . “An Approximation to the Exact Distribution of the Wilcoxon-Mann-Whitney Rank Sum Test Statistic,” . Communications in Statistics , 5 : 587 – 598 . (1976), Ser. A
   Google Scholar
• Iman , Ronald L. and Conover , W. J. 1976 . “A Comparison of Several Rank Tests for the Two-Way Layout,” , Albuquerque , New Mexico : Sandia Laboratories . Technical Report SAND76–0631
   Google Scholar
• Iman , Ronald L. and Conover , W. J. 1978 . “Approximations of the Critical Region for Spearman's Rho With and Without Ties Present,” . Communications in Statistics , 7 : 269 – 282 . Ser. B
   Google Scholar
• Iman , Ronald L. and Conover , W. J. 1979 . “The Use of the Rank Transform in Regression,” . Technometrics , 21 : 499 – 509 .
   Web of Science ®Google Scholar
• Iman , Ronald L. and Conover , W. J. “A Comparison of Distribution Free Procedures for the Analysis of Complete Blocks,” . Manuscript presented at the annual meeting of the American Institute of Decision Sciences . November 1980 , Las Vegas . unpublished
   Google Scholar
• Iman , Ronald L. and Conover , W. J. “Multiple Comparisons Procedures Based on the Rank Transformation,” . Manuscript presented at the annual meeting of the American Statistical Association . August 1980 , Houston . unpublished
   Google Scholar
• Iman , Ronald L. and Davenport , James M. 1976 . “New Approximations to the Exact Distribution of the Kruskal-Wallis Test Statistic,” . Communications in Statistics , 5 : 1335 – 1348 . Ser. A
   Google Scholar
• Iman , Ronald L. and Davenport , James M. 1980 . “Approximations of the Critical Region of the Friedman Statistic,” . Communications in Statistics , 9 : 571 – 595 . Ser. A
   Google Scholar
• Iman , Ronald L. , Quade , Dana and Alexander , Douglas . 1975 . “Exact Probability Levels for the Kruskal-Wallis Test,” . In Selected Tables in Mathematical Statistics , Edited by: Harter , H. L. and Owen , D. B. Vol. 3 , Providence , R.I. : American Mathematical Society .
   Google Scholar
• Pitman , E. J. G. 1937 . “Significance Tests Which May be Applied to Samples from any Populations: II. The Correlation Coefficient Test,” . Journal of the Royal Statistical Society , : 225 – 232 . Suppl. 4
   Google Scholar
• Quade , Dana . 1967 . “Rank Analysis of Covariance,” . Journal of the American Statistical Association , 62 : 1187 – 1200 .
   Web of Science ®Google Scholar
• Scott , A. J. and Knott , M. 1974 . “A Cluster Analysis Method for Grouping Means in the Analysis of Variance,” . Biometrics , 30 : 507 – 512 .
   Web of Science ®Google Scholar
• Shirley , E. 1977 . “A Non-Parametric Equivalent of Williams’ Test for Contrasting Increasing Dose Levels of Treatment,” . Biometrics , 33 : 386 – 389 .
   PubMed Web of Science ®Google Scholar
• Williams , D. A. 1971 . “A Test for Differences Between Treatment Means When Several Dose Levels are Compared With a Zero Dose Control,” . Biometrics , 27 : 103 – 117 .
   PubMed Web of Science ®Google Scholar
• Williams , D. A. 1972 . “A Comparison of Several Dose Levels With a Zero Dose Control,” . Biometrics , 28 : 519 – 531 .
   PubMed Web of Science ®Google Scholar
• Worsley , K. J. 1977 . “A Non-Parametric Extension of a Cluster Analysis Method by Scott and Knott,” . Biometrics , 33 : 532 – 535 .
   Web of Science ®Google Scholar