References
- Burdick , R. K. , Eickman , J. ( 1986 ). Confidence intervals on the among group variance component in the unbalanced one-fold nested design . Journal of Statistical Computation and Simulation 26 : 205 – 219 .
- Cochran , W. G. ( 1937 ). Problems arising in the analysis of a series of similar experiments . Journal of the Royal Statistical Society 4 : 102 – 118 .
- Cochran , W. G. ( 1954 ). The combination of estimates from different experiments . Biometrics 10 : 101 – 129 .
- Hannig , J. , Iyer , H. , Patterson , P. ( 2006 ). Fiducial generalized confidence intervals . Journal of the American Statistical Association 101 : 254 – 269 .
- Hartung , J. , Argac , D. ( 2002 ). Confidence intervals on the among group variance component in an unbalanced and heteroscedastic one-way random effects model . Statistics & Decisions 20 : 331 – 353 .
- Hartung , J. , Knapp , G. ( 2000 ). Confidence intervals for the between group variance in the unbalanced one-way random effects model of analysis of variance . Journal of Statistical Computation and Simulation 65 : 311 – 323 .
- Hartung , J. , Knapp , G. (2005). On confidence intervals for the among-group variance in the one-way random effects model with unequal error variances. Journal of Statistical Planning and Inference 127:157–177.
- Ho , Y. Y. , Weerahandi , S. ( 2007 ). Analysis of repeated measures under unequal variances . Journal of Multivariate Analysis 98 : 493 – 504 .
- Iyer , H. K. , Wang , C. M. , Mathew , T. ( 2004 ). Models and confidence intervals for true values in interlaboratory trials . Journal of the American Statistical Association 99 : 1060 – 1071 .
- Krishnamoorthy , K. , Lu , Y. ( 2003 ). Inferences on the common mean of several normal populations based on the generalized variable method . Biometrics 59 : 237 – 247 .
- Li , X. M. ( 2007 ). Comparison of confidence intervals on between group variance in unbalanced heteroscedastic one-way random models . Communications in Statistics-Simulation and Computation 36 : 381 – 390 .
- Mathew , T. , Webb , D. W. ( 2005 ). Generalized p values and confidence intervals for variance components: applications to army test and evaluation . Technometrics 47 : 312 – 322 .
- Rao , P. S. R. S. , Kaplan , J. , Cochran , W. G. ( 1981 ). Estimators for the one-way random effects model with unequal error variances . Journal of the American Statistical Association 76 : 89 – 97 .
- Roy , A. , Mathew , T. ( 2005 ). A generalized confidence limit for the reliability function of a two-parameter exponential distribution . Journal of Statistical Planning and Inference 128 : 509 – 517 .
- Scheffé , H. ( 1959 ). The Analysis of Variance . New York : Wiley .
- Snedecor , G. W. , Cochran , W. G. ( 1967 ). Statistical Methods. , 6th ed. Iowa : Iowa State University Press .
- Thomas , J. D. , Hultquist , R. A. ( 1978 ). Interval estimation for the unbalanced case of the one-way random effects model . The Annnals of Statistics 6 : 582 – 587 .
- Tsui , K. W. , Weerahandi , S. ( 1989 ). Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters . Journal of the American Statistical Association 84 : 602 – 607 .
- Weerahandi , S. ( 1993 ). Generalized confidence intervals . Journal of the American Statistical Association 88 : 899 – 905 .
- Weerahandi , S. ( 1995 ). Exact Statistical Methods for Data Analysis . New York : Springer-Verlag .
- Weerahandi , S. ( 2004 ). Generalized Inference in Repeated Measures . New York : Wiley .
- Wimmer , G. , Witkovský , V. ( 2003 ). Between group variance component interval estimation for the unbalanced heteroscedastic one-way random effects model . Journal of Statistical Computation and Simulation 73 : 333 – 346 .
- Ye , R. D. , Wang , S. G. ( 2007 ). Generalized p-values and generalized confidence intervals for variance components in general random effect model with balanced data . Journal of Systems Science and Complexity 20 : 572 – 584 .
- Ye , R. D. , Wang , S. G. ( 2008 ). Generalized inferences on the common mean in MANOVA models . Communications in Statistics – Theory and Methods 37 : 2291 – 2303 .
- Ye , R. D. , Wang , S. G. ( 2009a ). Inferences on the intraclass correlation coefficients in the unbalanced two-way random effects model with interaction . Journal of Statistical Planning and Inference 139 : 396 – 410 .
- Ye , R. D. , Wang , S. G. ( 2009b ). Assessing occupational exposure via the unbalanced one-way random effects model . Communications in Statistics – Simulation and Computation 38 : 308 – 317 .
- Ye , R. D. , Wang , S. G. ( 2010 ). Generalized inferences on the variance components in general linear mixed model . Acta Mathematicae Applicatae Sinica 32 : 1 – 11 . (In Chinese)
- Ye , R. D. , Ma , T. F. , Wang , S. G. ( 2010 ). Inferences on the common mean of several inverse Gaussian populations . Computational Statistics and Data Analysis 54 : 906 – 915 .
- Ye , R. D. , Ma , T. F. , Wang , S. G. ( 2011 ). Generalized confidence intervals for the process capability indices in general random effect model with balanced data . Statistical Papers 52 : 153 – 169 .