11. Chi-Squared Distribution

  1. Catherine Forbes1,
  2. Merran Evans1,
  3. Nicholas Hastings2 and
  4. Brian Peacock3

Published Online: 16 DEC 2010

DOI: 10.1002/9780470627242.ch11

Statistical Distributions, Fourth Edition

Statistical Distributions, Fourth Edition

How to Cite

Forbes, C., Evans, M., Hastings, N. and Peacock, B. (2010) Chi-Squared Distribution, in Statistical Distributions, Fourth Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470627242.ch11

Author Information

  1. 1

    Monash University, Victoria, Australia

  2. 2

    Albany Interactive, Victoria, Australia

  3. 3

    Brian Peacock Ergonomics, SIM University, Singapore

Publication History

  1. Published Online: 16 DEC 2010
  2. Published Print: 29 NOV 2010

ISBN Information

Print ISBN: 9780470390634

Online ISBN: 9780470627242



  • chi-squared distribution;
  • random number;
  • variate


Important applications of the chi-squared variate arise from the fact that it is the distribution of the sum of the squares of a number of normal variates. Where a set of data is represented by a theoretical model, the chi-squared distribution can be used to test the goodness of fit between the observed data points and the values predicted by the model, subject to the differences being normally distributed. A particularly common application is the analysis of contingency tables. This chapter discusses variate relationships, random number generation and chi distribution.

Controlled Vocabulary Terms

chi-squared distribution; control variate