A new generalized p-value and its upper bound for ANOVA under unequal error variances

Communications in Statistics - Theory and Methods

Volumn 37, Issue 7, 2008, Pages 1002-1010

  Xu, Liwen ^a   Wang, Songgui ^b  

^a TSINGHUA UNIVERSITY   (China)

^b BEIJING UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Behrens Fisher problem; Generalized p values; Generalized test variable

Indexed keywords

DATA REDUCTION; ERROR ANALYSIS; FUNCTIONS; PROBLEM SOLVING;

BEHRENS-FISHER PROBLEM; GENERALIZED P-VALUES; GENERALIZED TEST VARIABLES; POWER FUNCTIONS;

ANALYSIS OF VARIANCE (ANOVA);

EID: 39049162547     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610920701713252     Document Type: Article

References (8)

1. Barnard, G. A. (1984). Comparing the means of two independent samples. Applied Statistics 33:266-271.
2. Gamage, J. (1997). Generalized p-values and the multivariate Beherns-Fisher problem. Linear Algebra Appl. 253:369-377.
3. Gamage, J., Weerahandi, S. (1998). Size performance of some tests in one-way ANOVA. Comm. Statist. Simulation 27:625-640.
4. Johnson, R. A., Wichern, D. W. (1992). Applied Multivariate Statistical Analysis. 3rd ed. Prentice-Hall.
5. Rice, W. R., Gaines, S. D. (1989). One-way analysis of variance with unequal variances. Proceedings of the National Academy of Sciences 86:8183-8184.
6. Tsui, K. W., Weerahandi, S. (1989). Generalized p-values in significance testing of hypothesis in the presence of nuisance parameters. J. Amer. Statist. Assoc. 84:602-607.
7. Weerahandi, S. (1995a). Exact Statistical Methods for Data Analysis. New York: Springer- Verlag.
8. Weerahandi, S. (1995b). ANOVA under unequal error variances. Biometrics 51:589-599.