Estimation of regression models with nested error structure and unequal error variances under two and three stage cluster sampling

Statistics and Probability Letters

Volumn 35, Issue 4, 1997, Pages 401-407

  Stukel, D M ^b   Rao, J N K ^a  

^a CARLETON UNIVERSITY   (Canada)

^b NONE

Author keywords

Method of fitting constants; Multi stage cluster sampling; Ordinary least squares; Transformation method; Variance components

Indexed keywords

EID: 0031280753     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(97)86602-3     Document Type: Article

References (10)

1. Fuller, W.A., Battese, G.E., 1973. Transformations for estimation of linear models with nested-error structure. J. Amer. Statist. Assoc. 68, 626-632.
2. Ghosh, M., Rao, J.N.K., 1994. Small area estimation: an appraisal. Statist. Sci. 9, 55-93.
3. Henderson, C.R., 1953. Estimation of variance and covariance components. Biometrics 9, 226-252.
4. Judge, G.G., Griffiths, W.E., Hill, R.C., Lee, T.-C., 1980. The Theory and Practice of Econometrics, Wiley, New York.
5. Rao, C.R., 1973. Linear Statistical Inference and its Applications, 2nd ed. Wiley, New York.
6. Rao, J.N.K., Sutradhar, B.C., Yue, K., 1993. Generalized least squares F-test in regression analysis with two-stage cluster samples. J. Amer. Statist. Assoc. 88, 1388-1391.
7. Scott, A.J., Holt, D., 1982. The effect of two-stage sampling on ordinary least squares methods. J. Amer. Statist. Assoc. 77, 848-854.
8. Searle, S.R., 1971. Linear Models. Wiley, New York.
9. Stukel D.M., 1991. Small area estimation under one and two-fold nested error regression models. Unpublished Ph.D. thesis, Carleton University, Ottawa, Canada.
10. Wu, C.F.J., Holt, D., Holmes, D.J., 1988, The effect of two-stage sampling on the F-statistic. J. Amer. Statist. Assoc. 83, 150-159.