Confidence intervals on sum of variance components with unbalanced designs

Communications in Statistics - Theory and Methods

Volumn 34, Issue 4, 2005, Pages 833-845

  Li, Xinmin ^a   Li, Guoying ^b  

^a SHANDONG UNIVERSITY OF TECHNOLOGY   (China)

^b CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Coverage probability; Generalized pivotal quantity; Variance component

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); ESTIMATION; PROBABILITY; STATISTICAL METHODS;

CONFIDENCE INTERVALS; COVERAGE PROBABILITY; GENERALIZED PIVOTAL QUANTITY; VARIANCE COMPONENT;

RANDOM PROCESSES;

EID: 19944397490     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/STA-200054391     Document Type: Article

References (11)

1. Ahrens, H., Pincus, R. (1981). On two measures of unbalancedness in a one-way model and their relation to efficiency. J. Biometrics 23:227-235.
2. Burdick, R. K., Graybill, F. A. (1984). Confidence intervals on linear combinations of variance components in the unbalanced one-way classification. Technometrics 26:131-136.
3. Burdick, R. K., Graybill, F. A. (1992). Confidence Intervals on Variance Components. New York: Marcel Dekker.
4. Dawid, A. P., Stone, M. (1982). The functional model basis of fiducial inference. Ann. Statist. 10:1054-1067.
5. Fisher, R. A. (1930). Inverse probability. Proc. Camb. Phil. Soc. 26:528-535.
6. Fisher, R. A. (1956). Statistical Methods and Scientific Inference. Edinburgh and London: Oliver and Boyd.
7. Graybill, F. A., Wang, C. M. (1980). Confidence intervals on nonnegative linear combinations of variances. J. Amer. Statist. Assoc. 76:878-885.
8. Park, D. J., Burdick, R. K. (2003). Performance of confidence intervals in regression models with unbalanced one-fold nested error structures. Commun. Statist. Simul. Computat. 32:717-732.
9. Thomas, J. D., Hultiquist, R. A. (1978). Interval estimation for the unbalanced case of the one-way random effects model. Ann. Statist. 6:582-587.
10. Tsui, K., Weerahandi, S. (1989). Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters. J. Amer. Statist. Assoc. 84:602-607.
11. Weeranhandi, S. (1993). Generalized confidence intervals. J. Amer. Statist. Assoc. 88:899-905.