PPT-9. Heterogeneity: Latent Class Models

Latent Classes A population contains a mixture of individuals of different types classes Common form of the data generating mechanism within the classes Observed outcome y is governed by the common process . Department of Economics. Stern School of Business. New York University. Latent Class Modeling. Outline. Finite mixture and latent class models . Extensions of the latent class model. Applications of several variations. Department of Economics. Stern School of Business. New York University. Some Applications of . Latent Class Modeling. In Health Economics. . William Greene. Stern School of Business. New York University. 0 Introduction. 1 . Summary. 2 Binary Choice. 3 Panel Data. 4 Bivariate Probit. 5 Ordered Choice. 6 Count Data. 7 Multinomial Choice. 8 Nested Logit. Daniel . Oberski. Dept. of Methodology & Statistics . Tilburg University, The Netherlands. (with material from Margot . Sijssens-Bennink. & . Jeroen. . Vermunt. ). About Tilburg University Methodology & Statistics. William Greene. Stern School of Business. New York University. Part 11. Modeling Heterogeneity. Several Types of Heterogeneity. Observational: Observable differences across. choice makers. Choice strategy: How consumers make. William Greene. Stern School of Business. New York University. Part 6. Modeling Heterogeneity. Several Types of Heterogeneity. Differences across choice makers. Observable: Usually demographics such as age, sex. Latent Classes. A population contains a mixture of individuals of different types (classes). Common form of the data generating mechanism within the classes. Observed outcome y is governed by the . common process . Part II: Definition and Properties. Nevin. L. Zhang. Dept. of Computer Science & Engineering. The Hong Kong Univ. of Sci. & Tech.. http://www.cse.ust.hk/~lzhang. AAAI 2014 Tutorial. Part II: Concept . Alexander Kotov. 1. , . Mehedi. Hasan. 1. , . April . Carcone. 1. , Ming Dong. 1. , Sylvie Naar-King. 1. , Kathryn Brogan Hartlieb. 2. . 1 . Wayne State University. 2 . Florida International University. Nevin. L. Zhang. Dept. of Computer Science & Engineering. The Hong Kong Univ. of Sci. & Tech.. http://www.cse.ust.hk/~lzhang. AAAI 2014 Tutorial. HKUST. 2014. HKUST. 1988. Latent Tree Models. William Greene. Stern School of Business. New York University. Part 6. Modeling Latent Parameter Heterogeneity. Parameter Heterogeneity. Fixed and Random Effects Models. Latent common time invariant “effects”. Trang Quynh Nguyen, May 9, 2016. 410.686.01 Advanced Quantitative Methods in the Social and Behavioral Sciences: A Practical Introduction. Objectives. Provide a QUICK introduction to latent class models and finite mixture modeling, with examples. Nevin. L. Zhang. Dept. of Computer Science & Engineering. The Hong Kong Univ. of Sci. & Tech.. http://www.cse.ust.hk/~lzhang. AAAI 2014 Tutorial. Part II: Concept . and Properties. Latent . Tree . Nisheeth. Coin toss example. Say you toss a coin N times. You want to figure out its bias. Bayesian approach. Find the generative model. Each toss ~ Bern(. θ. ). θ. ~ Beta(. α. ,. β. ). Draw the generative model in plate notation.