Multilevel Latent Variable Modeling: An Application in Education Testing
AbstractA framework for multilevel latent variable modeling is presented that includes many existing models as special cases. It is shown that parameters can be estimated by maximum likelihood using a special variant of the EM algorithm. An application is presented from the field of school effectiveness research. This application uses a novel multilevel mixture item response model which clusters schools based on the students’ latent abilities and the item difficulties.
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