Rotation tests

Statistics and Computing

Volumn 15, Issue 1, 2005, Pages 53-60

  Langsrud, Øyvind ^a  

^a NORWEGIAN FOOD RESEARCH INSTITUTE   (Norway)

Author keywords

Adjusted p value; Conditional inference; Microarray data analysis; Multiple endpoints; Multiple testing; Random orthogonal matrix; Spherical distribution

Indexed keywords

EID: 15244359985     PISSN: 09603174     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11222-005-4789-5     Document Type: Article

References (33)

1. Agresti A. 2001. Exact inference for categorical data: Recent advances and continuing controversies. Statistics in Medicine 20: 2709-2722.
2. Anderson M.J. 2001. Permutation tests for univariate or multivariate analysis of variance and regression. Canadian Journal of Fisheries and Aquatic Sciences 58: 626-639.
3. Anderson T.W., Olkin I., and Underhill L.G. 1987. Generation of random orthogonal matrices. Siam Journal on Scientific and Statistical Computing 8: 625-629.
4. Cheng R.C.H. 1985. Generation of multivariate normal samples with given sample mean and covariance matrix. Journal of Statistical Computation and Simulation 21: 39-49.
5. Curtis M.L. 1979. Matrix Groups. Springer-Verlag, New York.
6. Dempster A.P. 1969. Elements of Continuous Multivariate Analysis. Addison-Wesley Reading Mass.
7. Edgington E.S. 1995. Randomization Tests, 3rd edition. Marcel Dekker, New York.
8. Engen S. and Lillegård M. 1997. Stochastic simulations conditioned on sufficient statistics. Biometrika 84: 235-240.
9. Fang K.T. and Anderson T.W. 1990. Statistical inference in Elliptically Contoured and Related Distributions. Allerton Press, New York.
10. Fang K.T., Kotz S., and Ng K.W. 1990. Symmetric Multivariate and Related Distributions. Chapman and Hall, New York.
11. Fang K.T. and Zhang Y.T. 1990. Generalized Multivariate Analysis. Springer-Verlag, New York.
12. Fisher R.A. 1935. The Design of Experiments, 8th edition 1966. Oliver & Boyd, Edinburgh.
13. Forsythe A.B., Engelman L., Jennrich R., and May P.R.A. 1973. A stopping rule for variable selection in multiple regression. Journal of the American Statistical Association 68: 75-77.
14. Ge Y., Dudoit S., and Speed T.P. 2003. Resampling-based multiple testing for microarray data analysis (with discussion). Test 12: 1-77.
15. Genz A. 1999. Methods for generating random orthogonal matrices. In: Niederreiter H. and Spanier J. (Eds.), Monte Carlo and Quasi-Monte Carlo Methods 1998, Springer-Verlag, Berlin, pp. 199-213.
16. Golub T.R., Slonim D.K., Tamayo P., Huard C., Gassenbeek M., Mesirov J.P., Coller H., Loh M.L., Downing J.R., Caligiuri M.A., Bloomfield C.D., and Lander E.S. 1999. Molecular classification of cancer: Class discovery and class prediction by gene expression monitoring. Science 286: 531-537.
17. Heiberger R.M. 1978. Generation of random orthogonal matrices. Applied Statistics 27: 199-206.
18. James A.T. 1954. Normal multivariate analysis and the orthogonal group. The Annals of Mathematical Statistics 25: 40-75.
19. Langsrud Ø. 2002. 50-50 Multivariate analysis of variance for collinear responses. The Statistician 51: 305-317.
20. Langsrud Ø. 2004. The geometrical interpretation of statistical tests in multivariate linear regression. Statistical Papers 45: 111-122.
21. Läuter J., Glimm E., and Kropf S. 1996. New multivariate tests for data with an inherent structure. Biometrical Journal 38: 5-23.
22. Läuter J., Glimm E., and Kropf S. 1998. Multivariate tests based on left-spherically distributed linear scores. The Annals of Statistics 26: 1972-1988.
23. Mardia K.V., Kent J.T., and Bibby J.M. 1979. Multivariate Analysis. Academic Press Limited, London.
24. Miller A.J. 1984. Selection of subsets of regression variables. Journal of the Royal Statistical Society Series A 147: 389-425.
25. Olson L. 1976. On choosing a test statistic in multivariate analysis of variance. Psychological Bulletin 83: 579-586.
26. Shaffer J.P. 1995. Multiple hypothesis testing. Annual Review of Psychology 46: 561-584.
27. Pitman E.J.G. 1937a. Significance tests which may be applied to samples from any populations. Journal of Royal Statistical Society B 4: 119-130.
28. Pitman E.J.G. 1937b. Significance tests which may be applied to samples from any populations II: The correlation coefficient. Journal of Royal Statistical Society B 4: 225-232.
29. 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.
30. Strang G. 1988. Linear Algebra and its Applications, 3rd edition. Harcourt Brace Javanovich, San Diego.
31. Tanner M.A. and Thisted R.A. 1982. A remark on AS 127. Generation of random orthogonal matrices. Applied Statistics 31: 190-192.
32. Wedderburn R.W.M. 1975. Random Rotations and Multivariate Normal Simulation, Research Report, Rothamsted Experimental Station.
33. Westfall P.H. and Young S.S. 1993. Resampling-Based Multiple Testing: Examples and Methods for p-Value Adjustment. Wiley, New York.