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MultiLevelOptimalBayes: Regularized Bayesian Estimator for Two-Level Latent Variable Models

Implements a regularized Bayesian estimator that optimizes the estimation of between-group coefficients for multilevel latent variable models by minimizing mean squared error (MSE) and balancing variance and bias. The package provides more reliable estimates in scenarios with limited data, offering a robust solution for accurate parameter estimation in two-level latent variable models. It is designed for researchers in psychology, education, and related fields who face challenges in estimating between-group effects under small sample sizes and low intraclass correlation coefficients. Dashuk et al. (2024) <doi:10.13140/RG.2.2.18148.39048> derived the optimal regularized Bayesian estimator; Dashuk et al. (2024) <doi:10.13140/RG.2.2.34350.01604> extended it to the multivariate case; and Luedtke et al. (2008) <doi:10.1037/a0012869> formalized the two-level latent variable framework.

Version: 0.0.1.6
Depends: R (≥ 4.1.0)
Imports: pracma
Suggests: knitr, rmarkdown, testthat (≥ 3.0.0)
Published: 2025-05-29
DOI: 10.32614/CRAN.package.MultiLevelOptimalBayes
Author: Valerii Dashuk [aut, cre], Binayak Timilsina [aut], Martin Hecht [aut], Steffen Zitzmann [aut]
Maintainer: Valerii Dashuk <vadashuk at gmail.com>
License: GPL-3
NeedsCompilation: no
Materials: README
CRAN checks: MultiLevelOptimalBayes results

Documentation:

Reference manual: MultiLevelOptimalBayes.pdf
Vignettes: MultiLevelOptimalBayes-Intro (source, R code)

Downloads:

Package source: MultiLevelOptimalBayes_0.0.1.6.tar.gz
Windows binaries: r-devel: not available, r-release: MultiLevelOptimalBayes_0.0.1.5.zip, r-oldrel: MultiLevelOptimalBayes_0.0.1.5.zip
macOS binaries: r-release (arm64): MultiLevelOptimalBayes_0.0.1.6.tgz, r-oldrel (arm64): MultiLevelOptimalBayes_0.0.1.6.tgz, r-release (x86_64): MultiLevelOptimalBayes_0.0.1.6.tgz, r-oldrel (x86_64): MultiLevelOptimalBayes_0.0.1.5.tgz
Old sources: MultiLevelOptimalBayes archive

Linking:

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These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.