A nonparametric procedure for the two-factor mixed model with missing data

Biometrical Journal

Volumn 49, Issue 5, 2007, Pages 774-788

  Gao, Xin ^a  

^a YORK UNIVERSITY   (Canada)

Author keywords

Asymptotic relative efficiency; Mid ranks; Nonparametric imputation; Normalized distribution function; Partial rank transform

Indexed keywords

EFFICIENCY; INTELLIGENT SYSTEMS; MONTE CARLO METHODS;

ASYMPTOTIC RELATIVE EFFICIENCY; DISTRIBUTION-FUNCTIONS; MID-RANK; MISSING DATA; MIXED MODELING; NONPARAMETRIC IMPUTATION; NONPARAMETRICS; NORMALIZED DISTRIBUTION FUNCTION; PARTIAL RANK TRANSFORM; RANK TRANSFORM;

DISTRIBUTION FUNCTIONS;

EID: 35448983603     PISSN: 03233847     EISSN: 15214036     Source Type: Journal    
DOI: 10.1002/bimj.200510299     Document Type: Article

References (32)

1. Akritas, M. G. (1991). Limitations of the Rank Transform Procedure: A Study of Repeated Measures Designs, Part I. Journal of the American Statistical Association 86, 457-460.
2. Akritas, M. G. (1993). Limitations of the Rank Transform Procedure: A Study of Repeated Measures Designs, Part II. Statistics and Probability Letters 17, 149-156.
3. Akritas, M. G. and Arnold, S. F. (1994). Fully Nonparametric Hypotheses for Factorial Designs I: Multivariate Repeated Measures Designs. Journal of the American Statistical Association 89, 336-343.
4. Akritas, M. G. and Brunner, E. (1997). A Unified Approach to Rank Tests for Mixed Models. Journal of Statistical Planning and Inference 61, 249-277.
5. Akritas, M. G., Arnold, S. F, and Du, Y. (2000). Nonparametric Models and Methods for Nonlinear Analysis of Covariance. Biometrika 87, 507-526.
6. Akritas, M. G., Kuha, J., and Osgood, D. W. (2002). A Nonparametric Approach to Matched Pairs with Missing Data. Sociological Methods & Research 30(3), 425-454.
7. Alvo, M. and Cabilio, P. (1995). Testing Ordered Alternatives in the Presence of Incomplete Data. Journal of the American Statistical Association 90, 1015-1024.
8. Boos, D. D. and Brownie, C. (1992). A Rank-Based Mixed Model Approach to Multisite Clinical Trials. Biometrics 48, 61-72.
9. Brunner, E. and Denker, M. (1994). Rank Statistics under Dependent Observations and Applications to Factorial Designs. Journal of Statistical Planning and Inference 42, 353-378.
10. Brunner, E. and Dette, H. (1992). Rank Procedures for the Two-Factor Mixed Model. Journal of the American Statistical Association 87, 884-888.
11. Brunner, E., Munzel, U., and Puri, M. L. (1999). Rank-Score Tests in Factorial Designs with Repeated Measures. Journal of Multivariate Analysis 70, 286-317.
12. Brunner, E. and Neumann, N. (1981). Ein Rangtest für ein gemischtes modell mit Wechselwirkung. EDV in Medizin und Biologie 12, 38-41.
13. Brunner, E. and Neumann, N. (1982). Rank Tests for Correlated Random Variables. Biometrical Journal 24, 273-289.
14. Brunner, E. and Neumann, N. (1984). Rank Tests for the 2X2 split plot design. Metrika 31, 233-243.
15. Brunner, E. and Neumann, N. (1986a). Rank Tests in 2X2 Designs. Statistica Neerlandica 40, 257-271.
16. Brunner, E. and Neumann, N. (1986b). Two-sample Rank Tests in General Models. Biometrical Journal 28, 395-402.
17. Brunner, E., Puri, M. L., and Sun, S. (1995). Nonparametric methods for stratified two-sample designs with application to multi-clinic trials. Journal of the American Statistical Association 90, 1004-1014.
18. Brunner, E. and Puri, M. L. (2001). Nonparametric Methods in Factorial Designs. Statistical Papers 42, 1-52.
19. Domhof, S., Brunner, E., and Osgood, D. W. (2002). Rank Procedures for Repeated Measures with Missing Values. Sociological Methods & Research 30(3), 367-393.
20. Gao, X. (2006). Nonparametric Imputation for Mixed Models with Missing Data. Technical Report, Department of Mathematics and Statistics, York University.
21. Kepner, J. L. and Robinson, D. H. (1988). Nonparametric Methods for Detecting Treatment Effects in Repeated Measures Designs. Journal of the American Statistical Association 83, 456-461.
22. Koch, G. G. and Sen, P. K. (1968). Some Aspects of the Statistical Analysis of the 'Mixed Model'. Biometrics 24, 27-48.
23. Kostecki-Dillon, T., Monette, G., and Wong, P. (1999). Pine Trees, Comas and Migraines. Newsletter. York University Institute for Social Research 14, 2.
24. Little, R. J. and Rubin, D. B. (2002). Statistical Analysis with Missing Data, John Wiley & Sons, New Jersey.
25. Munzel, U. (1999). Linear rank score statistics when ties are present. Statistics and Probability Letters 41, 389-395.
26. Puri, M. L. and Sen, P. K. (1971). Nonparametric Methods in Multivariate Analysis, John Wiley 592.
27. Ruymgaart, F. H. (1980). A Unified Approach to the Asymptotic Distribution Theory of Certain Midrank Statistics. Pp. 1-18 in Statistique non Parametrique Asymptotique, edited by J. P. Raoult. Springer, Berlin.
28. Thompson, G. L. and Ammann, L. P. (1989). Efficacies of Rank-Transform Statistics in Two-Way Models with No Interaction. Journal of the American Statistical Association 84, 325-330.
29. Thompson, G. L. and Ammann, L. P. (1990). Efficiencies of Rank-Transform Statistics in Two-Way Models With No Interaction. Journal of the American Statistical Association 85, 519-528.
30. Thompson, G. L. (1991). A Unified Approach to Rank Tests for Multivariate and Repeated Measures Designs. Journal of the American Statistical Association 86, 410-419.
31. Wand, M. P. and Jones, M. C. (1995). Kernel Smoothing, Chapman & Hall, London.
32. Wittkowski, K. M. (1988). Friedman-type Statistics and Consistent Multiple Comparisons for Unbalanced Designs with Missing Data. Journal of the American Statistical Association 83, 1163-1170.