Standard Article

Latent Class Analysis

  1. Mark R. Conaway

Published Online: 15 JUL 2005

DOI: 10.1002/0470011815.b2a10028

Encyclopedia of Biostatistics

Encyclopedia of Biostatistics

How to Cite

Conaway, M. R. 2005. Latent Class Analysis. Encyclopedia of Biostatistics. 4.

Author Information

  1. Duke University, Durham, USA

Publication History

  1. Published Online: 15 JUL 2005


Latent class analysis is a discrete variable analog of factor analysis. It attempts to explain associations by underlying categorical traits that are not directly observable. This article presents the latent class model, discusses its connection with loglinear models, and discusses model fitting and testing.


  • chi-square test;
  • contingency table;
  • EM algorithm;
  • factor analysis;
  • identifiability;
  • multinomial distribution;
  • Rasch model