Permutation methods: A basis for exact inference

Statistical Science

Volumn 19, Issue 4, 2004, Pages 676-685

  Ernst, Michael D ^a  

^a INDIANA UNIVERSITY   (United States)

Author keywords

Distribution free; Monte Carlo; Nonparametric; Permutation tests; Randomization tests

Indexed keywords

EID: 18844398070     PISSN: 08834237     EISSN: None     Source Type: Journal    
DOI: 10.1214/088342304000000396     Document Type: Article

References (18)

1. BRADLEY, J. V. (1968). Distribution-Free Statistical Tests. Prentice-Hall, Englewood Cliffs, NJ.
2. CYTEL SOFTWARE CORPORATION (2003). StatXact 6. Cytel Software Corporation, Cambridge, MA.
3. DWASS, M. (1957). Modified randomization tests for nonparametric hypotheses. Ann. Math. Statist. 28 181-187.
4. EDGINGTON, E. S. (1995). Randomization Tests, 3rd ed. Dekker, New York.
5. ERNST, M. D. and SCHUCANY, W. R. (1999). A class of permutation tests of bivariate interchangeability. J. Amer. Statist. Assoc. 94 273-284.
6. FISHER, R. A. (1935). The Design of Experiments. Oliver and Boyd, Edinburgh.
7. FISHER, R. A. (1936). "The coefficient of racial likeness" and the future of craniometry. J. Royal Anthropological Institute of Great Britain and Ireland 66 57-63.
8. GARTHWAITE, P. H. (1996). Confidence intervals from randomization tests. Biometrics 52 1387-1393.
9. GROGAN, W. L., JR. and WIRTH, W. W. (1981). A new American genus of predaceous midges related to Palpomyia and Bezzia (Diptera: Ceratopogonidae). Proc. Biological Society of Washington 94 1219-1305.
10. HIGGINS, J. J. (2004). An Introduction to Modem Nonparametric Statistics. Brooks/Cole, Pacific Grove, CA.
11. IHAKA, R. and GENTLEMAN, R. (1996). R: A language for data analysis and graphics. J. Comput. Graph. Statist. 5 299-314.
12. JÖCKEL, K.-H. (1986). Finite sample properties and asymptotic efficiency of Monte Carlo tests. Ann. Statist. 14 336-347.
13. KENNEDY, P. E. and CADE, B. S. (1996). Randomization tests for multiple regression. Comm. Statist. Simulation Comput. 25 923-936.
14. LEHMANN, E. L. (1975). Nonparametrics: Statistical Methods Based on Ranks. Holden-Day, San Francisco.
15. MANLY, B. F. J. (1997). Randomization, Bootstrap and Monte Carlo Methods in Biology, 2nd ed. Chapman and Hall, London.
16. PITMAN, E. J. G. (1937a). Significance tests which may be applied to samples from any populations. J. Roy. Statist. Soc. Suppl. 4 119-130.
17. PITMAN, E. J. G. (1937b). Significance tests which may be applied to samples from any populations. II. The correlation coefficient test. J. Roy. Statist. Soc. Suppl. 4 225-232.
18. PITMAN, E. J. G. (1938). Significance tests which may be applied to samples from any populations. III. The analysis of variance test. Biometrika 29 322-335.