Psychometrika

, Volume 52, Issue 2, pp 269–271 | Cite as

A note on latent trait theory and Bowker's test

  • William Meredith
  • Laura Prouty Sands
Notes And Comments

Abstract

Bowker's test for marginal equality in contingency tables provides a familiar chi-square test to determine whether the marginal distributions are the same across two or more factors or occasions. In this note it is shown how latent trait theory provides a theoretical framework for the development and application of this test.

Key words

homogeneity correlated change contingency tables 

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References

  1. Bishop, Y. M., Fienberg, S. E., & Holland, P. W. (1975)Discrete multivariate analysis. Cambridge: The Massachusettes Institute of Technology Press.Google Scholar
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  3. Flaughter, R. L. (1978). The many definitions of test bias.American Psychologist, 33, 671–679.Google Scholar
  4. Hout, M., Duncan, O. D., & Sobel, M. E. (1985).Association and heterogeneity: Structural models of similarities and differences (Working Paper No. 77). Berkeley: University of California, Survey Research Center.Google Scholar
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  7. Samejima, F. (1969). Estimation of latent ability using a respone pattern of graded scores.Psychometrika Monograph No. 17, 34(4, Pt. 2).Google Scholar

Copyright information

© The Psychometric Society 1987

Authors and Affiliations

  • William Meredith
    • 1
  • Laura Prouty Sands
    • 1
  1. 1.Psychology Department, Tolman HallUniversity of California at BerkeleyBerkeley

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