学 术 演 讲
学 术 演 讲
School of Mathematics and Statistics
Victoria University of Wellington, New Zealand
题 目：Cluster Analysis for Ordered Categorical Data
时 间：民国106年12月18日 (星期一) 下午14：00
For a data matrix with ordered categorical data, we establish likelihood-based multivariate methods to reduce the dimension of the matrix. It applies fuzzy clustering via finite mixtures to ordinal response models. Model-fitting is performed using the expectation-maximization algorithm and a fuzzy allocation of rows, columns, and rows and columns simultaneously to corresponding clusters is obtained. This talk gives a summary of recent results of our working group on this topic. It includes the development on various ordinal models, Bayesian approaches, alternative correlation structures, and data visualization methods. The application in real datasets is also shown.