Multilevel Modeling of Categorical Response Variables

Abstract

Data ......................................................................................................................483 Response and Explanatory Variables ..........................................................483 Weights ............................................................................................................484 Missing Data ................................................................................................... 487 Dichotomous Response Variables ..................................................................... 490 Multilevel Binary Logistic Regression ........................................................ 490 A Latent Variable Approach ......................................................................... 493 Estimation ........................................................................................................ 495 Example for Binary Response Variable ....................................................... 496 Nominal Response Variables ............................................................................. 501 Baseline Multinomial Model ........................................................................ 501 Estimation ........................................................................................................502 Multinomial Example ....................................................................................503 Ordinal Response Variables ...............................................................................508 Continuation Ratios .......................................................................................508 Adjacent Categories .......................................................................................509 Cumulative Probabilities ............................................................................... 512 Example ........................................................................................................... 514 Software ................................................................................................................ 516 Discussion ............................................................................................................ 517 Acknowledgment ................................................................................................ 518 References ............................................................................................................. 518

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