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Psychometrika

, Volume 59, Issue 3, pp 361–375 | Cite as

The reliability of linearly equated tests

  • Daniel O. Segall
Article

Abstract

An asymptotic expression for the reliability of a linearly equated test is developed using normal theory. The reliability is expressed as the product of two terms, the reliability of the test before equating, and an adjustment term. This adjustment term is a function of the sample sizes used to estimate the linear equating transformation. The results of a simulation study indicate close agreement between the theoretical and simulated reliability values for samples greater than 200. Findings demonstrate that samples as small as 300 can be used in linear equating without an appreciable decrease in reliability.

Key words

equating linear equating test equating reliability classical test theory measurement error asymptotic standard errors tests 

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References

  1. Angoff, W. H. (1971). Scales, norms, and equivalent scores. In R. L. Thorndike (Ed.),Educational Measurement (2nd ed., pp. 508–600). Washington, DC: American Council on Education.Google Scholar
  2. Braun, H. I., & Holland, P. W. (1982). Observed-score test equating: A mathematical analysis of some ETS equating procedures. In P. W. Holland & D. B. Rubin (Eds.),Test equating (pp. 9–49). New York: Academic Press.Google Scholar
  3. IMSL (1991).International Mathematical and Statistical Libraries (Stat/Library), User's Manual. Houston, TX: Author.Google Scholar
  4. Johnson, N. L., & Kotz, S. (1970).Distributions in Statistics: Continuous Univariate Distributions I. New York: John Wiley & Sons.Google Scholar
  5. Lord, F. M. (1950).Notes on comparable scales for test scores (RB-50-48). Princeton, NJ: Educational Testing Service.Google Scholar
  6. Kendall, M., & Stuart, A. (1977).The advanced theory of statistics (4th ed., Vol. 1). New York: Macmillian.Google Scholar

Copyright information

© The Psychometric Society 1994

Authors and Affiliations

  • Daniel O. Segall
    • 1
  1. 1.Code 12, Navy Personnel Research and Development CenterSan Diego

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