, 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


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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  1. Bishop, Y. M., Fienberg, S. E., & Holland, P. W. (1975)Discrete multivariate analysis. Cambridge: The Massachusettes Institute of Technology Press.Google Scholar
  2. Bowker, A. H. (1948). A test for symmetry in contingency tables.Journal of the American Statistical Association, 43, 572–574.Google Scholar
  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
  5. Lord, R. M., & Novick, M. R. (1968).Statistical theories of mental test scores. Reading, MA: Addison-Wesley.Google Scholar
  6. McNemar, Q. (1947). Note on the sampling error of the difference between correlated proportions or percentages.Psychometrika, 12, 153–157.Google Scholar
  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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