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Multiple Imputation to Estimate Hierarchical Models from Data Missing at Random: Latent Covariates, Random Coefficients, and Statistical Interactions
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Yongyun Shin; Stephen W. Raudenbush – Grantee Submission, 2025
Consider the conventional multilevel model Y=C[gamma]+Zu+e where [gamma] represents fixed effects and (u,e) are multivariate normal random effects. The continuous outcomes Y and covariates C are fully observed with a subset Z of C. The parameters are [theta]=([gamma],var(u),var(e)). Dempster, Rubin and Tsutakawa (1981) framed the estimation as a…
Descriptors: Hierarchical Linear Modeling, Maximum Likelihood Statistics, Sampling, Error of Measurement