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We obtain a second order approximation to the mean squared error (MSE), and its estimate, of the empirical or estimated best linear unbiased pre-dictor (EBLUP) of a mixed effect in a general mixed linear normal model. This covers many important small area models in the literature. Unlike previous research in this area, we provide a unified theory of(More)
When a Hierarchical Bayes area level model is used to produce estimates of proportions of units with a given characteristic for small areas, it is commonly assumed that the survey weighted proportion for each sampled small area has a normal distribution and that the sampling variance of this proportion is known. However, these assumptions are problematic(More)
Each month, the Bureau of Labor Statistics publishes estimates of employment for industrial supersectors at the metropolitan statistical area (MSA) level. The survey-weighted ratio estimator that is used to produce estimates for large domains is generally less reliable for MSA level estimation due to the unavailability of adequate sample from a given MSA.(More)
In survey data analysis, there are two main approaches-design-based and model-based-for making inferences for different characteristics of the population. A design-based approach tends to produce unreliable estimates for small geographical regions or cross classified demographic regions due to the small sample sizes. Moreover, when there are no samples(More)
Consider interval estimation of m small area proportions P i (i = 1, · · · , m), where we assume a stratified random sampling design with equal number of observations n in each stratum, and where the domains of interest are the strata. A 100(1 − α)% confidence interval for P i that has appeared repeatedly in the literature and is used in application is(More)
In large-scale assessments, such as the National Assessment of Educational Progress (NAEP), plausible values based on Multiple Imputations (MI) have been used to estimate population characteristics for latent constructs under complex sample designs. Mislevy (1991) derived a closed-form analytic solution for a fixed-effect model in creating plausible values(More)
In the context of the Fay-Herriot model, a mixed regression model routinely used to combine information from various sources in small area estimation, certain adjustments to a standard likelihood (e.g., profile, residual, etc.) have been recently proposed in order to produce strictly positive and consistent model variance estimators. These adjustments(More)