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References

Binder, D. A. (1983). On the variances of asymptotically normal estimators from complex surveys. International Statistical Review, 5: 279-292.

Bock, R. D., and Aitkin, M. (1982). Marginal Maximum Likelihood estimation of item parameters: application of an EM algorithm. Psychometrika, 46: 443-459.

Brooks, S.P., and Gelman, A. (1998). General methods for monitoring convergence of iterative simulations. Journal of Computational and Graphical Statistics, 7: 434-455.

Burnham, K.P., and Anderson, D.R. (2004). Multimodel inference: understanding AIC and BIC in model selection. Sociological Methods Research.

Fay, R.E. and Herriot, R.A. (1979). Estimation of income for small places: An application of James-Stein procedures to census data. Journal of the American Statistical Association, 74: 269-277.

Gelman, A., (2006). Prior distributions for variance parameters in hierarchical models. Bayesian Analysis, 1: 515-533.

Gelman, A., Carlin, J., Stern, H., and Rubin, D. (2004). Bayesian Data Analysis. 2nd edition. Texts in statistical science. Chapman and Hall/CRC.

Gelman, A. and Rubin, D.B. (1992). Inference from iterative simulations using multiple sequences. Statistical Science, 7: 457-511.

Greenberg, E., Macías, R.F., Rhodes, D., and Chan, T. (2001). English Literacy and Language Minorities in the United States (NCES 2001-464). National Center for Education Statistics, U.S. Department of Education. Washington, DC.

Jiang, J. and Lahiri, P. (2006). Mixed model prediction and small area estimation. TEST. An Official Journal of the Spanish Society of Statistics and Operations Research 15(1): 1-96.

Kirsch, I., Yamamoto, K., Norris, N., Rock, D. Jungeblut, A. O’Reilly, P., Berlin, M., Mohadjer, L. Waksberg, J.L., Goksel, H., Burke, J., Rieger, S., Green, J., Klein, M., Campbell, A., Jenkins, L. Kolstad, A., Mosenthal, P., and Baldi, S. (2000). Technical Report and Data File User’s Manual for the 1992 National Adult Literacy Survey (NCES 2001-457). National Center for Education Statistics, U.S. Department of Education. Washington, DC.

Kirsch, I. S., Jungeblut, A., Jenkins, L., and Kolstad, A. (1993). Adult literacy in America: A first look at the results of the National Adult Literacy Survey. Princeton, NJ: Educational Testing Service.

Lunn, D.J., Thomas, A., Best, N., and Spiegelhalter, D. (2000). WinBUGS—A Bayesian modeling framework: Concepts, structure, and extensibility, Statistics and Computing, 10(4): 325-337.

Mislevy, R. J., Beaton, A. E., Kaplan, B., and Sheehan, K. M. (1992). Estimating population characteristics from sparse matrix samples of item responses. Journal of Educational Measurement, 29: 133-161.

Mislevy, R. J., Johnson, E. G., and Muraki, E. (1992). Scaling procedures in NAEP. Journal of Educational Statistics, 17: 131-154.

Mislevy, R. J. and Sheehan, K. M. (1987). Marginal estimation procedures. In A. Beaton (Ed.), The NAEP 1983-84 Technical Report (pp. 293 - 360). Princeton, NJ: Education Testing Service.

Mohadjer, L., Kalton, G., Krenzke, T., Liu, B., Van de Kerckhove, W., Li, L., Sherman, D., Dillman, J., Rao, J. and White, S. (2008). National Assessment of Adult Literacy: Indirect County and State Estimates of the Percentage of Adults at the Lowest Level of Literacy for 1992 and 2003 (NCES 2008-467). National Center for Education Statistics, Institute of Education Sciences, U.S. Department of Education. Washington, DC.

Rao, J.N.K. (2003). Small area estimation. Wiley-Interscience.

SAS Institute (2003). SAS version 9.1. Cary, NC: SAS Institute, Inc. SAS OnlineDoc 9.1.3: http://support.sas.com/onlinedoc/913/docMainpage.jsp.

Spiegelhalter D. J., N. Best, N.G., Carlin, B.P., and Van der Linde, A. (2002). Bayesian measures of model complexity and fit (with discussion). Journal of the Royal Statistical Society B, 64: 583-640.

StataCorp. (2005). Stata Statistical Software: Release 9. College Station, TX: StatCorp LP.

White, S. and Dillow, S. (2005). Key Concepts and Features of the 2003 National Assessment of Adult Literacy (NCES 2006-471). National Center for Education Statistics, Institute of Education Sciences, U.S. Department of Education. Washington, DC.

Wolter, K. (1985). Introduction to Variance Estimation. New York: Springer-Verlag.

You, Y. and Rao, J.N.K. (2002) Small area estimation using unmatched sampling and linking models. The Canadian Journal of Statistics, 30: 3-15.

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