Adaptive inference for multi-stage unbalanced exponential survey data
Abstract
References
Al-Zou'bi, L. M., Clark, R. G., and Steel, D. G. (2010). Adaptive inference for multi-stage
survey data. Communications in Statistics - Simulation and Computation, 39(7):1334{ 1350.
Cherno, H. (1954). On the distribution of the likelihood ratio. The Annals of Mathematical Statistics, 25(3):573{578.
Faes, C., Molenberghs, H., Aerts, M., Verbeke, G., and Kenward, M. G. (2009). The effective sample size and an alternative small-sample degrees-of-freedom method. The American Statistician, 63(4):389{399.
Goldstein, H. (2003). Multilevel Statistical Models. Kendall's Library of Statistics 3. Arnold, London, third edition.
Huber, P. J. (1967). The behavior of maximum likelihood estimates under non-standard conditions. Proceedings of the Fifth Berekley Symposium on Mathematical Statistics and
Probability, University of California, Berekley, 11:221{233.
Kenward, M. G. and Roger, J. H. (1997). Small sample inference for xed eects from restricted maximum likelihood. Biometrics, 53(3):983{997.
Liang, K. Y. and Zeger, S. L. (1986). Longitudinal data analysis using generalized linear models. Biometrika, 73(1):13{22.
MacKinnon, J. G. and White, H. (1985). Some heteroskedasticity-consistent covariance matrix estimators with improved nite sample properties. Journal of Econometrics, 29:305{ 325.
Montgomery, D. C. and Runger, G. C. (2003). Applied statistics and probability for engineers. John Wiley and Sons, Inc., third edition.
Satterthwaite, F. E. (1941). Synthesis of variance. Psychometrika, 6:309{316.
Scheipl, F., Greven, S., and Kuchenho, H. (2007). Size and power of tests for a zero random eect variance or polynomial regression in additive and linear mixed models. Computational Statistics and Data Analysis, 52(7):3283{3299.
Scott, A. J. and Holt, D. (1982). The eect of two-stage sampling on ordinary least squares methods. Journal of the American Statistical Association, 77(380):848{854.
Self, S. G. and Liang, K. Y. (1987). Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions. Journal of the American Statistical Association, 82(398):605{610.
Stram, D. O. and Lee, J. W. (1994). Variance components testing in the longitudinal mixed effects model. Biometrics, 50(4):1171{1177.
West, B. T., Welch, K. B., and Galecki, A. T. (2007). Linear Mixed Model: A Practical Guide Using Statistical Software.
Chapman and Hall/CRC, Boca Raton, Florida.
White, H. (1982). Maximum likelihood estimation of misspecied models. Econometrica, 50(1):1{25.
Full Text: pdf