A Critical Review and a Comparative Study on Conditional Permutation Tests for Two-Way ANOVA

References

• Anderson , M. J. , ter Braak , C. J. F. ( 2003 ). Permutation tests for multi-factorial analysis of variance . J. Statist. Computat. Simul. 73 ( 2 ): 85 – 113 .
   Web of Science ®Google Scholar
• Arnold , H. J. ( 1964 ). Permutation support for multivariate techniques . Biometrika 51 : 65 – 70 .
   Web of Science ®Google Scholar
• Basso , D. , Chiarandini , M. , Salmaso , L. ( 2006 ). Synchronized permutation tests in I × J designs . J. Statist. Plann. Infer. 137 ( 8 ): 2564 – 2578 .
   Web of Science ®Google Scholar
• Cade , B. S. , Richards , J. D. ( 1996 ). Permutation tests for least absolute deviation regression . Biometrics 52 : 886 – 902 .
   Web of Science ®Google Scholar
• Edgington , E. S. ( 1995 ). Randomization Tests. , 3rd ed. New York : Marcel Dekker .
   Google Scholar
• Gustafsson , A. , Herrmann , A. , Huber , F. ( 2001 ). Conjoint Measurement: Methods and Applications . Berlin : Springer .
   Google Scholar
• Kennedy , P. E. , Cade , B. S. ( 1996 ). Randomization tests for multiple regression . Commun. Statist. Simul. Computat. 25 : 923 – 936 .
   Web of Science ®Google Scholar
• Manly , B. F. J. ( 1997 ). Randomization, Bootstrap and Monte Carlo Methods in Biology. , 2nd ed. London : Chapman & Hall .
   Google Scholar
• Maritz , J. S. ( 1995 ). Distribution-Free Statistical Methods. , 2nd ed. London : Chapman & Hall .
   Google Scholar
• Mielke , P. W. , Jr. , Berry , K. J. ( 2001 ). Permutation Methods: A Distance Function Approach . Springer Series in Statistics . Springer .
   Google Scholar
• Mansouri , H. , Chang , G. H. ( 1995 ). A comparative study of some rank tests for interaction . Computat. Statistics Data Anal. 9 : 85 – 96 .
   Web of Science ®Google Scholar
• Pesarin , F. ( 2001 ). Multivariate Permutation Tests: With Applications in Biostatistics . Chichester : Wiley .
   Google Scholar
• Salmaso , L. ( 2003 ). Synchronized permutation tests in 2 k factorial designs . Commun. Statist. Theor. Meth. 32 : 1419 – 1437 .
   Web of Science ®Google Scholar
• Sprent , P. ( 1998 ). Data Driven Statistical Methods . London : Chapman & Hall .
   Google Scholar
• ter Braak , C. J. F. ( 1992 ). Permutation versus bootstrap significance tests in multiple regression and ANOVA . In: Jöckel , K. H. , Rothe , G. , Sendler , W. eds. Bootstrapping and Related Resampling Techniques . Berlin : Springer-Verlag , pp. 79 – 86 .
   Google Scholar