Comparison of confidence intervals on the among group variance in the unbalanced variance component model

Journal of Statistical Computation and Simulation

Volumn 77, Issue 6, 2007, Pages 477-486

  Li, Xinmin ^a   Li, Guoying ^b  

^a SHANDONG UNIVERSITY OF TECHNOLOGY   (China)

^b CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Approximate confidence interval; Coverage probability; Variance component

Indexed keywords

EID: 34249017633     PISSN: 00949655     EISSN: 15635163     Source Type: Journal    
DOI: 10.1080/10629360500109051     Document Type: Article

References (12)

1. Lee, J.Y., Khuri and A.I., 2002, Comparison of confidence intervals on the among-group variance component for the unbalanced one-way random model. Communication in Statistics Simulation and Computation, 31, 35-47.
2. Park, D.J. and Burdick, R.K., 2003, Performance of confidence intervals in regression models with unbalanced one-fold nested error structures. Communications in Statistics Simulation and Computation, 32, 717-732.
3. Thomas, J.D., Hultiquist, R.A., 1978, Interval estimation for the unbalanced case of the one-way random effects model. Annals of Statistics, 6, 582-587.
4. Khuri, A.I., 1999, Further insights concerning the method of unweighted means. Technical Report 603, Department of Statistics (Gainesville, Florida: University of Florida) pp. 1-28.
5. Burdick, R.K. and Eickman, J., 1986, Confidence intervals on the among group variance component in the unbalanced one-fold nested design. Journal of Statistics Computation Simulation, 26, 205-219.
6. Burdick, R.K., Grabill, F.A., 1992, Confidence Intervals on Variance Components (New York: Marcel Dekker).
7. Ting, N., Burdick, R.K., Grabill, F.A., Jeyaratnam, S. and Lu, T.-F.C., 1990, Confidence intervals on linear combinations of variance components. Journal of Statistics Computation, 35, 135-143.
8. Li, X., Li, G., 2005, Confidence intervals on sum of variance components with unbalanced designs. Communications in Statistics Theory and Methods, 34, 833-845.
9. Tukey, J.W., 1951, Components in regression. Biometrics, 7, 33-69.
10. Williams, J.S., 1962, A confidence interval for variance components. Biometrika, 49, 278-281.
11. Tsui, K. and Weerahandi, S., 1989, Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters. Journal of the American Statistics Association, 84, 602-607.
12. Weeranhandi, S., 1993, Generalized confidence intervals. Journal of American Statistical Association, 88, 899-905.