An empirical comparison of permutation methods for tests of partial regression coefficients in a linear model

Journal of Statistical Computation and Simulation

Volumn 62, Issue 3, 1999, Pages 271-303

  Anderson, Marti J ^a   Legendre, Pierre ^b  

^a UNIVERSITY OF SYDNEY   (Australia)

^b UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033241810     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/00949659908811936     Document Type: Article

References (23)

1. Brown, B. M. and Maritz J. S. (1982) Distribution-free methods in regression, Austral. J. Statist., 24, 318-331.
2. Cade, B. S. and Richards, J. D. (1996) Permutation tests for least absolute deviation regression, Biometrics, 52, 886-902.
3. Edgington, E. S. (1995) Randomization Tests (Third Edition). New York: Marcel Dekker.
4. Fisher, N. I. and Hall, P. (1990) On bootstrap hypothesis testing, Austral. J. Statist., 32, 177-190.
5. Freedrnan, D. and Lane, D. (1983) A nonstochastic interpretation of reported significance levels, J. Bus. Econ. Statist., 1, 292-298.
6. Furnas, G. W. (1984) The generation of random, binary unordered trees, J. Classif., 1, 187-233.
7. Hall, P. and Titterington, D. M. (1989) The effect of simulation order on level accuracy and power of Monte Carlo tests, J. R. Statist. Soc. B, 51, 459-467.
8. Hope, A. C. A. (1968) A simplified Monte Carlo test procedure, J. R. Statist. Soc. B, 30, 582-598.
9. Kempthorne, O. (1952) The Design and Analysis of Experiments. New York: John Wiley and Sons.
10. Kennedy, P. E. (1995) Randomization tests in econometrics, J. Bus. Econ. Statist., 13, 85-94.
11. Kennedy, P. E. and Cade, B. S. (1996) Randomization tests for multiple regression, Commun. Statist. - Simulation Comput., 25, 923-936.
12. l'Ecuyer, P. and Côté, S. (1991) Implementing a random number package with splitting facilities, ACM Trans. Math. Software, 17, 98-111.
13. Legendre, P. and Fortin, M.-J. (1989) Spatial pattern and ecological analysis, Vegetatio, 80, 107-138.
14. Legendre, P. and Legendre, L. (1998) Numerical Ecology (Second English Edition). Amsterdam: Elsevier Science BV.
15. Manly, B. F. J. (1991) Randomization and Monte Carlo Methods in Biology (First Edition). London: Chapman and Hall.
16. Manly, B. F. J. (1997) Randomization, Bootstrap and Monte Carlo Methods in Biology (Second Edition). London: Chapman and Hall.
17. Oja, H. (1987) On permutation tests in multiple regression and analysis of covariance problems, Austral. J. Statist., 29, 91-100.
18. Smouse, P. E., Long, J. C. and Sokal, R. R. (1986) Multiple regression and correlation extensions of the Mantel test of matrix correspondence, Syst. Zool., 35, 627-632.
19. Stapel, M. and ter Braak, C. J. F. Randomization and bootstrap tests in factorial experiments: does analysis follow from design? International Biometrics Conference, German-Dutch Region, Münster, 15-18 May 1994.
20. ter Braak, C. J. F. (1987) Ordination. In: Data Analysis in Community and Landscape Ecology (Eds., Jongman, R. H. G., ter Braak, C. J. F. and van Tongeren, O. F. R.), pp. 91-169, Wageningen, The Netherlands: Pudoc. Reissued in 1995 by Cambridge, England: Cambridge University Press.
21. ter Braak, C. J. F. (1990) Update Notes: CANOCO version 3.10. Wageningen, The Netherlands: Agricultural Mathematics Group.
22. ter Braak, C. J. F. (1992) Permutation versus bootstrap significance tests in multiple regression and ANOVA. In: Bootstrapping and Related Techniques (Eds., Jöckel, K.-H. Rothe, G. and Sendler, W.), pp. 79-86, Berlin: Springer-Verlag.
23. Welch, W. J. (1990) Construction of permutation tests, J. Am. Statist. Ass., 85, 693-698.