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General Equating Theory Background

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Applying Test Equating Methods

Part of the book series: Methodology of Educational Measurement and Assessment ((MEMA))

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Abstract

This chapter provides a general overview of equating and offers a conceptual and formal mathematical definition of equating. The roles of random variables, probability distributions, and parameters in the equating statistical problem are described. Different data collection designs are introduced, and an overview of some of the equating methods that will be described throughout the book is also presented.

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Notes

  1. 1.

    It is enough to consider test forms to be parallel if they measure the same attribute in a different way, for instance, by using different items. A more technical definition of parallel forms can be found in Lord (1964).

  2. 2.

    In practice such difference should be small (Braun and Holland 1982, p. 16).

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Authors and Affiliations

  1. Faculty of Mathematics, Pontificia Universidad CatÓlica de Chile, Santiago, Chile

    Jorge González

  2. Department of Statistics, Umeå School of Business and Economics, Umeå University, Umeå, Sweden

    Marie Wiberg

Authors
  1. Jorge González
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  2. Marie Wiberg
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González, J., Wiberg, M. (2017). General Equating Theory Background. In: Applying Test Equating Methods. Methodology of Educational Measurement and Assessment. Springer, Cham. https://doi.org/10.1007/978-3-319-51824-4_1

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  • DOI: https://doi.org/10.1007/978-3-319-51824-4_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-51822-0

  • Online ISBN: 978-3-319-51824-4

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