Comparative analysis of common statistical models used for value-added assessment of school performance
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The purpose of this study is to compare four popular value-added models used in measuring school effectiveness based on their distinguishing characteristics. The simple fixed effects model (SFEM), two hierarchical models (UHLMM and AHLMM), and the layered mixed effects model (LMEM) are the models that have been analyzed based on value-added measures obtained from a common data set with two years standard assessment data. Value-added measures obtained from these models were used to investigate the impact of the differences of each model. Correlational analyses were also conducted to see whether there were remarkably differences among these models. SFEM and UHLMM models produced very similar rank orders of school effects while SFEM and AHLMM have a moderate correlation. Thus there is no much difference between SFEM and two HLM models in terms of the rank orders of schools whereas there was no agreement between LMEM and the other models.