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Asymptotic Standard Error of Equipercentile Equating

Author

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  • Michelle Liou
  • Philip E. Cheng

Abstract

We propose simplified formulas for computing the standard errors of equiper-centile equating for continuous and discrete test scores. The suggested formulas are conceptually simple and easily extended to more complicated equating designs such as chained equipercentile equating, smoothed equipercentile equating, and equating using the frequency estimation method. Results from an empirical study indicate that the derived formulas work reasonably well for samples with moderate sizes (e.g., 1,000 examinees).

Suggested Citation

  • Michelle Liou & Philip E. Cheng, 1995. "Asymptotic Standard Error of Equipercentile Equating," Journal of Educational and Behavioral Statistics, , vol. 20(3), pages 259-286, September.
    • Handle: RePEc:sae:jedbes:v:20:y:1995:i:3:p:259-286
    DOI: 10.3102/10769986020003259
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    Cited by:

    1. Haruhiko Ogasawara, 2003. "Asymptotic standard errors of irt observed-score equating methods," Psychometrika, Springer;The Psychometric Society, vol. 68(2), pages 193-211, June.
    2. Wim Linden, 2000. "A test-theoretic approach to observed-score equating," Psychometrika, Springer;The Psychometric Society, vol. 65(4), pages 437-456, December.

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