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Title: Statistical Models for Heterogeneity in the Labor Market
Resulting in 1 citation.
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Scott, Marc A. |
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Statistical Models for Heterogeneity in the Labor Market Ph.D. Dissertation, New York University, Graduate School of Business Administration, 1998 Cohort(s): Young Men Publisher: UMI - University Microfilms, Bell and Howell Information and Learning Keyword(s): Heterogeneity; Longitudinal Data Sets; Modeling, Mixed Effects We develop a latent curve model for longitudinal data which captures underlying stochastic variation in an interpretable manner. The approach decomposes the variation into data-adaptive components, which we call proto-splines. These components are linear combinations of basis functions chosen to reflect important features of the process under investigation. Our approach can be viewed as a hybrid of principal components analysis and the usual basis function approach to functional data analysis. The resulting components should be more interpretable than principal components and are more flexible than those employed in the basis function approach. In the course of the development we synthesize many diverse approaches to longitudinal data analysis, and propose a framework for determining which technique is appropriate in a given situation. Our proto-spline model class extends the scope of traditional mixed effects models, but still retains their emphasis on the estimation of components of variance, which often have substantive meaning. We demonstrate the consistency, asymptotic efficiency, and normality of the parameter estimates. An application to the analysis of wage inequality based on the National Longitudinal Survey of Young Men is presented in detail, and various diagnostic techniques for longitudinal data are introduced in this context. |
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Bibliography Citation
Scott, Marc A. Statistical Models for Heterogeneity in the Labor Market. Ph.D. Dissertation, New York University, Graduate School of Business Administration, 1998. |