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Full-Text Articles in Physical Sciences and Mathematics
A Linear-Linear Growth Model With Individual Change Point And Its Application To Ecls-K Data, Ping Zhang
A Linear-Linear Growth Model With Individual Change Point And Its Application To Ecls-K Data, Ping Zhang
Graduate Theses and Dissertations
The latent growth curve model with piecewise functions is a useful analytics tool to investigate the growth trajectory consisted of distinct phases of development in observed variables. An interesting feature of the growth trajectory is the time point that the trajectory changes from one phase to another one. In this thesis, we propose a simple computational pipeline to locate the change point under the linear-linear piecewise model and apply it to the longitudinal study of reading and math ability in early childhood (from kindergarten to eighth grade). In the first step, we conduct the hypothesis testing to filter out the …
A Bayesian Variable Selection Method With Applications To Spatial Data, Xiahan Tang
A Bayesian Variable Selection Method With Applications To Spatial Data, Xiahan Tang
Graduate Theses and Dissertations
This thesis first describes the general idea behind Bayes Inference, various sampling methods based on Bayes theorem and many examples. Then a Bayes approach to model selection, called Stochastic Search Variable Selection (SSVS) is discussed. It was originally proposed by George and McCulloch (1993). In a normal regression model where the number of covariates is large, only a small subset tend to be significant most of the times. This Bayes procedure specifies a mixture prior for each of the unknown regression coefficient, the mixture prior was originally proposed by Geweke (1996). This mixture prior will be updated as data becomes …