A test in the presence of nuisance parameters

Journal of the American Statistical Association

Volumn 91, Issue 436, 1996, Pages 1690-1693

  Silvapulle, Mervyn J ^a  

^a LA TROBE UNIVERSITY   (Australia)

Author keywords

Lagrange multiplier test; Likelihood ratio test; One sided test; Order restricted inference; Score test

Indexed keywords

EID: 0030335698     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1996.10476739     Document Type: Article

References (11)

1. Kim, K., and De Mets, D. L. (1987), "Design and Analysis of Group Sequential Tests Based on the Type I Error Spending Rate Function," Biometrika, 74, 149-154.
2. Lehmann, E. L. (1994), Testing Statistical Hypotheses (2nd ed.), New York: Chapman and Hall.
3. Paul, S. R. (1990), "Maximum Likelihood Estimates of Intraclass Correlation in the Analysis of Familial Data: Estimating Equation Approach," Biometrika, 77, 549-555. 1693
4. Perlman, M. D. (1969), "One-Sided Testing Problems in Multivariate Analysis," Annals of Mathematical Statistics, 40, 549-567.
5. Pocock, S. J., Geller, N. L., and Tsiatis, A. A. (1987), ''The Analysis of Multiple Endpoints in Clinical Trials," Biometrics, 43, 487-498.
6. Seber, G. A. F. (1984), Multivariate Observations, New York: Wiley.
7. Shapiro, A. (1988), ''Towards a Unified Theory of Inequality Constrained Testing in Multivariance Analysis," International Statistical Review, 56, 49-52.
8. Silvapulle, M. 1. (1994), "On Tests Against One-Sided Hypotheses in Some Generalized Linear Models," Biometrics, 50, 853-858.
9. Silvapulle, M. J., and Silvapulle, P. (1995), "A Score Test Against OneSided Hypothesis," Journal of the American Statistical Association, 90, 342-349.
10. Wolak, F. A. (1987), "An Exact Test for Multiple Inequality and Equality Constraints in the Linear Model," Journal of the American Statistical Association, 82, 782-793.
11. Zacks, S., and Ramig, P. F. (1987), "Confidence Intervals for the Common Variance of Equicorrelated Normal Random Variables," in Contributions to The Theory and Applications of Statistics, a volume in honor of H. Solomon, ed. A. E. Gelfand, New York: Academic Press, pp. 511-544