Cluster Analysis for Ordered Categorical Data

• Activity Number: 81
• Type: Contributed
• Date/Time: Sunday, August 9, 2015 : 4:00 PM to 5:50 PM
• Sponsor: Biometrics Section
• Author(s): Ivy Liu*
• Companies: Victoria University of Wellington
• Keywords: ordinal data ; cluster ; categorical data

Abstract

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.