Now showing items 1-6 of 6

    • Bayesian model-based clustering for longitudinal ordinal data 

      Costilla, Roy; Liu, Ivy; Arnold, Richard; Fernández Martínez, Daniel (2019-09)
      Article
      Open Access
      Traditional cluster analysis methods used in ordinal data, for instance k-means and hierarchical clustering, are mostly heuristic and lack statistical inference tools to compare among competing models. To address this we ...
    • Finite mixture biclustering of discrete type multivariate data 

      Fernández Martínez, Daniel; Arnold, Richard; Pledger, Shirley; Liu, Ivy; Costilla, Roy (2018-05-15)
      Article
      Open Access
      Many of the methods which deal with clustering in matrices of data are based on mathematical techniques such as distance-based algorithms or matrix decomposition and eigenvalues. In general, it is not possible to use ...
    • Introducing spaced mosaic plots 

      Fernández Martínez, Daniel; Arnold, Richard; Pledger, Shirley (2014-09-01)
      External research report
      Open Access
      Recent research has developed a group of likelihood-based finite mixture mod- els for a data matrix with ordinal data, establishing likelihood-based multivari- ate methods which applies fuzzy clustering via finite mixtures ...
    • Mixture-based clustering for the ordered stereotype model 

      Fernández Martínez, Daniel; Arnold, Richard; Pledger, Shirley (2016-01)
      Article
      Open Access
      Many of the methods which deal with the reduction of dimensionality in matrices of data are based on mathematical techniques such as distance-based algorithms or matrix decomposition and eigenvalues. Recently a group of ...
    • Model selection for mixture-based clustering for ordinal data 

      Fernández Martínez, Daniel; Arnold, Richard (2016-12)
      Article
      Restricted access - publisher's policy
      One of the key questions in the use of mixture models concerns the choice of the number of components most suitable for a given data set. In this paper we investigate answers to this problem in the context of likelihood-based ...
    • Model-based goodness-of-fit tests for the ordered stereotype model 

      Fernández Martínez, Daniel; Liu, Ivy; Arnold, Richard; Nguyen, Thuong; Spiess, Martin (2019-07-30)
      Article
      Restricted access - publisher's policy
      This paper presents two new model-based goodness-of-fit tests for the ordered stereotype model applied to an ordinal response variable. The proposed tests are based on the Lipsitz test, which partitions the subjects into ...