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The phi coefficient and chi square as indices of item validity

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Abstract

Two new methods of item analysis are described. One involves the computation of the φ coefficient (correlation of a fourfold point distribution) and the other involves chi square. The only data required are the proportions of passing individuals in the upper and lower criterion groups, for the determination of φ, and in addition,N, for the determination of chi square. Abacs are presented for graphic solution of the two indices of validity, and tests of significance are provided.

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References

  1. Chesire, L., Saffir, M., and Thurstone, L. L. Computing diagrams for the tetrachoric correlation coefficient. Chicago: Univ. Chicago Bookstore, 1933.

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  2. Fisher, R. A. Statistical methods for research workers. Edinburgh: Oliver & Boyd, 1938.

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Authors and Affiliations

  1. University of Southern California, USA

    J. P. Guilford

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  1. J. P. Guilford
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Guilford, J.P. The phi coefficient and chi square as indices of item validity. Psychometrika 6, 11–19 (1941). https://doi.org/10.1007/BF02288569

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  • DOI: https://doi.org/10.1007/BF02288569

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