An exact permutation method for testing any effect in balanced and unbalanced fixed effect ANOVA

Computational Statistics and Data Analysis

Volumn 54, Issue 7, 2010, Pages 1881-1893

  Kherad Pajouh, Sara ^a   Renaud, Olivier ^a  

^a Methodology and Data Analysis Group   (Switzerland)

Author keywords

ANOVA; Experimental design; Non parametric methods; Permutation test

Indexed keywords

DISTRIBUTION-FREE TEST; ERROR TERMS; EXPERIMENTAL DESIGN; FIXED EFFECTS; HIGHER ORDER; NON-GAUSSIAN; NONPARAMETRIC METHODS; PERMUTATION TESTS; SIMULATION STUDIES; SMALL DATA SET; UNBALANCED DESIGN;

COMPETITION; DESIGN; REGRESSION ANALYSIS; STATISTICS; TESTING;

ANALYSIS OF VARIANCE (ANOVA);

EID: 77949568386     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2010.02.015     Document Type: Article

References (23)

1. Anderson M., and Ter Braak C. Permutation tests for multi-factorial analysis of variance. Journal of Statistical Computation and Simulation 73 2 (2003) 85-113
2. Basso D., Chiarandini M., and Salmaso L. Synchronized permutation tests in replicated I × J designs. Journal of Statistical Planning and Inference 137 8 (2007) 2564-2578
3. Brombin C., and Salmaso L. Multi-aspect permutation tests in shape analysis with small sample size. Computational Statistics and Data Analysis 53 12 (2009) 3921-3931
4. Cardinal R., and Aitken M. Anova for the Behavioural Sciences Researcher (2006), Lawrence Erlbaum Associates
5. David H. The beginnings of randomization tests. The American Statistician 62 1 (2008) 70-72
6. Davison A., and Hinkley D. Bootstrap Methods and Their Applications (1997), Cambridge University Press, Cambridge
7. Edgington E. Randomization Tests (1995), CRC Press
8. Fisher R. The design of experiments. Oliver & Boyd Edinburgh, Scotland (1935)
9. Freedman D., and Lane D. A nonstochastic interpretation of reported significance levels. Journal of Business and Economic Statistics 1 4 (1983) 292-298
10. Gonzalez L., and Manly B. Analysis of variance by randomization with small data sets. Environmetrics 9 1 (1998) 53-65
11. Good P. Author Permutation Tests: A Practical Guide to Resampling Methods for Testing Hypotheses (1994), Springer
12. Good P. Permutation, parametric, and bootstrap tests of hypotheses. Springer Series in Statistics (2004), Springer-Verlag, New York Inc. Secaucus, NJ, USA
13. Huh M., and Jhun M. Random permutation testing in multiple linear regression. Communications in Statistics: Theory and Methods 30 10 (2001) 2023-2032
14. Jung B.C., Jhun M., and Song S.H. A new random permutation test in ANOVA models. Statistical Papers 48 (2006) 47-62
15. Kirk R. Experimental Design: Procedures for the Behavioral Sciences (1994), Wadsworth
16. Manly B. Randomization, Bootstrap and Monte Carlo Methods in Biology (1997), Chapman and Hall, Landon
17. Pesarin F. Multivariate Permutation Tests: With Applications in Biostatistics (2001), Wiley Chichester
18. k factorial designs. Communications in Statistics: Theory and Methods 32 7 (2003) 1419-1437
19. Searle. Linear Models for Unbalanced Data (1987), John Wiley and Sons, New York
20. StatSoft, I., 2007. Statistica (data analysis software system), version 8.0 www.statsoft.com.
21. Still A., and White A. The approximate randomization test as an alternative to the F test in analysis of variance. British Journal of Mathematical and Statistical Psychology 34 2 (1981) 243-252
22. Ter Braak C. Permutation versus bootstrap significance tests in multiple regression and ANOVA. Bootstrapping and Related Techniques (1992) 79-86
23. Welch W., and Gutierrez L. Robust permutation tests for matched-pairs designs. Journal of the American Statistical Association 83 402 (1988) 450-455