A class of conditional tests for a multivariate one-sided alternative

Journal of Statistical Planning and Inference

Volumn 107, Issue 1-2, 2002, Pages 155-171

  Perlman, Michael D ^a   Wu, Lang ^b  

^a UNIVERSITY OF WASHINGTON   (United States)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Conditional test; Likelihood ratio test; Multivariate normal distribution; One sided alternative; Tests for means

Indexed keywords

EID: 0036743650     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(02)00250-1     Document Type: Article

References (12)

1. Bartholomew, D.J., 1961. A test of homogeneity of means under restricted alternatives. J. Roy. Statist. Soc. Ser. B. 23, 239-281.
2. Berger, J.O., 1985. Statistical Decision Theory and Bayesian Analysis, 2nd Edition. Springer, New York.
3. Fraser, D.A.S., Guttman, I., Srivastava, M.S., 1991. Conditional inference for treatment and error in multivariate analysis. Biometrika 78, 565-572.
4. Lehmann, E.L., 1986. Testing Statistical Hypotheses, 2nd Edition. Wiley, New York.
5. Marden, J.I., Perlman, M.D., 1980. Invariant tests for means with covariates. Ann. Statist. 8, 25-63.
6. Perlman, M.D., 1967. One-sided problems in multivariate analysis. Ph.D. Dissertation, Department of Statistics, Stanford University, Stanford, CA.
7. Perlman, M.D., 1969. One-sided testing problems in multivariate analysis. Ann. Math. Statist. 40, 549-567.
8. Shorack, G.R., 1967. Testing against ordered alternative in model I analysis of variance: normal theory and non-parametrics Ann. Math. Statist. 38, 1740-1753.
9. 2-type statistic for testing against one-sided hypotheses. J. Multivariate Anal. 55, 312-319.
10. Tang, D.-I., 1994. Uniformly more powerful tests in a one-sided multivariate problem. J. Am. Statist. Assoc. 89, 1006-1011.
11. Wang, Y., McDermott, M.P., 1998a. Conditional likelihood ratio test for a nonnegative normal mean vector. J. Am. Statist. Assoc. 93, 380-386.
12. 2-type statistic. J. Multivariate Anal. 65, 64-70.