References
- Anderson , T. W. 1963 . Asymptotic theory for principal component analysis . Annals of Mathematical Statistics , 34 : 122 – 148 .
- Arthanari , T. S. and Dodge , Y. 1981 . Mathematical Programming in Statistics , New York : Wiley .
- Bainbridge , T. R. 1965 . Staggered nested design for estimating variance components . Industrial Quality Control , 22 : 12 – 20 .
- Burdick , R. K. and Graybill , F. A. 1992 . Confidence Intervals on Variance Components , New York : Dekker .
- Corbeil , M. and Searle , S. R. 1976 . A comparison of variance component estimates . Biometrics , 32 : 779 – 791 .
- Cummings , W. B. and Gaylor , D. W. 1974 . Variance component testing in unbalanced nested designs . Journal of the American Statistical Association , 69 : 765 – 771 .
- Khattree , R. 1989 . On rubustness of tests for random effects in balanced nested designs . Statistics , 20 : 41 – 46 .
- Khattree , R. and Naik , D. N. 1990 . Optimum tests for random effects in unbalanced nested designs . Statistics , 21 : 163 – 168 .
- Khattree , R. and Naik , D. N. 1992 . “ Estimation of variance components in staggered nested designs ” . In Technical Report 92–21 , Rochester, MI : Oakland University .
- Khuri , A. I. and Sahai , H. 1985 . Variance components analysis: a selective literature survey . Inter-national Statistical Review , 53 : 279 – 300 .
- Lawley , D. N. 1956 . Test of significance for the latent roots of covariance and correlation matrices . Biometrika , 43 : 128 – 136 .
- Mason , R. L. , Gunst , R. F. and Hess , J. L. 1989 . Statistical Design and Analysis of Experiments , New York : Wiley .
- Muirhead , R. J. 1982 . Aspects of Multivariate Statistics , New York : Wiley .
- Nelson , L. S. 1983 . Variance estimation using staggered nested designs . Journal of Quality Technology , 15 : 195 – 198 .
- Pettere , A. N. and McBratney , A. B. 1993 . Sampling designs for estimating spatial variance components . Applied Statistics , 42 : 185 – 209 .
- Searle , S. R. 1987 . Linear Models for Unbalanced Data , New York : Wiley .
- Searle , S. R. , Casella , A. and McCulloch , C. E. 1992 . Variance Components , New York : Wiley .
- Smith , J. R. and Beverly , J. M. 1981 . The use and analysis of staggered nested factorial designs . Journal of Quality Technology , 13 : 166 – 173 .