saeHB.Spatial.Beta-package: saeHB.Spatial.Beta : Small Area Estimation Hierarchical Bayes...

saeHB.Spatial.Beta-packageR Documentation

saeHB.Spatial.Beta : Small Area Estimation Hierarchical Bayes for Spatial Beta Model

Description

Provides several functions and datasets for area-level Small Area Estimation using the Hierarchical Bayesian (HB) method. Model-based estimators are designed for variables of interest that follow a Beta distribution (proportions bounded between 0 and 1). The package supports spatial structures under the Simultaneous Autoregressive (SAR) model and the Leroux Conditional Autoregressive (CAR) model. It also accommodates survey design effect (DEFF) adjustments to handle complex survey data. The rjags package is employed to obtain parameter estimates via Markov Chain Monte Carlo (MCMC).

Author(s)

Boby Iwan, Cucu Sumarni

Maintainer: Boby Iwan bobyiwanboby2122@gmail.com

Functions

betadeff_sar

Estimates small area means using Spatial SAR Model with Beta distribution and Design Effect (DEFF) adjustments.

beta_sar

Estimates small area means using Spatial SAR Model with Beta distribution without DEFF adjustments (estimates a global precision parameter).

betadeff_lerouxcar

Estimates small area means using Spatial Leroux CAR Model with Beta distribution and Design Effect (DEFF) adjustments.

beta_lerouxcar

Estimates small area means using Spatial Leroux CAR Model with Beta distribution without DEFF adjustments.

betadeff_nonspatial

Estimates small area means using a Non-Spatial Beta Model with Independent and Identically Distributed (IID) random effects and DEFF adjustments.

beta_nonspatial

Estimates small area means using a Non-Spatial Beta Model without DEFF adjustments.

build_w

A utility function to construct spatial weights matrices (contiguity, distance, or kernel) required for spatial modeling.

moran_test

A diagnostic function to perform Moran's I test for spatial autocorrelation.

Reference

  • Rao, J. N. K., & Molina, I. (2015). Small Area Estimation (2nd Edition). New Jersey: John Wiley and Sons, Inc. <doi:10.1002/9781118735855>.

  • Kubacki, J., & Jedrzejczak, A. (2016). Small Area Estimation of Income Under Spatial SAR Model. Statistics in Transition New Series, Vol. 17, No. 3, pp. 365–390. <doi:10.59170/stattrans-2016-022>.

  • Leroux, B. G., Lei, X., & Breslow, N. (2000). Estimation of Disease Rates in Small Areas: A New Mixed Model for Spatial Dependence. In M. E. Halloran & D. Berry (Eds.), Statistical Models in Epidemiology, the Environment, and Clinical Trials (Vol. 116, pp. 179–191). New York: Springer. <doi:10.1007/978-1-4612-1284-3_4>.

  • Chung, H. C., & Datta, G. S. (2020). Bayesian Hierarchical Spatial Models for Small Area Estimation. Research Report Series. Washington, D.C.: U.S. Census Bureau.

Author(s)

Maintainer: Boby Iwan bobyiwanboby2122@gmail.com

Authors:

See Also

Useful links:


saeHB.Spatial.Beta documentation built on July 1, 2026, 5:07 p.m.