Spring 2019 Colloquia


Upcoming Colloquia:

  • Friday, September 13th: Dr. Gongjun Xu, University of Michigan
  • Friday, October 4th: Dr. Joseph Antonelli, University of Florida
  • Friday, October 11th: Dr. Tianfu Wu, North Carolina State University
  • Friday, October 18th: Dr. Suyu Lin, MD Anderson
  • Friday, November 1st: Dr. Ariel Aloe, University of Iowa
  • Friday, November 8th: Dr. Christopher Wikle, University of Missouri
  • Friday, November 15th: Dr. Ian McKeague, Columbia University
  • Friday, November 22nd: Dr. Xiaofeng Shao, University of Illinois at Urbana-Champaign
  • Friday, December 6th: Dr. Min-ge Xie, Rutgers University


Friday, September 13th: Dr. Gongjun Xu, University of Michigan

204 Duxbury Hall, 10:00am

Title: Identifiability of Restricted Latent Class Models

Abstract: Latent class models have wide applications in social and biological sciences. In many applications, pre-specified restrictions are imposed on the parameter space of latent class models, through a design matrix, to reflect practitioners' diagnostic assumptions about how the observed responses depend on the respondents' latent traits. Though widely used in various fields, such restricted latent class models suffer from nonidentifiability due to the models' discrete nature and complex restricted structure. This talk addresses the fundamental identifiability issue of restricted latent class models by developing a general framework for strict and partial identifiability of the model parameters. The developed identifiability conditions only depend on the design matrix and are easily checkable, which provides useful practical guidelines for designing statistically valid diagnostic tests. Furthermore, the new theoretical framework is applied to establish, for the first time, the identifiability of several designs from cognitive diagnosis applications.


Previous Colloquia

Spring 2019 Colloquia

Fall 2018 Colloquia

Spring 2018 Colloquia

Fall 2017 Colloquia

Spring 2016 Colloquia Part II

Fall 2016 Colloquia

Spring 2016 Colloquia

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