國立東華大學應用數學系

專    題    演    講

    主講人：Jun Zhu

                         Department of Statistics and Department of Entomology, University of Wisconsin-Madison

    講  題：Spatial Multinomial Regression Models for Nominal Categorical Data 

 時  間：103 年 05月 28 日 (星期三)  10:00-12:00

    地  點：理工一館 A318 教室

摘   要

We consider statistical tools for regression analysis of nominal categorical data on a spatial lattice. In a generalized linear mixed model framework, we model the response variable by a multinomial distribution.  There are two additive components in the linear predictor: a linear regression on covariates and a spatial random effect such that the spatial dependence in the random effect is induced by a multivariate conditional autoregressive model.  Bayesian hierarchical modeling is used for statistical inference and Markov chain Monte Carlo algorithms are devised to obtain posterior samples.  The methodology is applied to analyze a northern Wisconsin land cover data set in a study that assesses the relationship between forest landscape structure and past social conditions, expanding the analytical tools available in landscape ecology and environmental history.

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