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Maximizing test validity by item selection

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Abstract

The exact condition for discardingk items from a test in order to obtain a residual test with higher validity is derived. A proof that validity always increases is given for the casek=1. The lack of uniqueness of maximum validity when achieved by use of the condition is discussed. With the use of additional restrictions on items to be included in the initial test, a practical test construction procedure which has several advantages over previous methods is developed. The homogeneity of tests constructed by the method is discussed, and applications are given.

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References

  1. Adorno, T. W., Frenkel-Brunswik Else, Levinson, D. J., and Sanford, R. N. The authoritarian personality. New York: Harper, 1950.

    Google Scholar 

  2. Cronbach, L. J. Coefficientα and the internal structure of tests.Psychometrika, 1951,16, 297–334.

    Google Scholar 

  3. Fisher, R. A. The precision of discriminant functions.Ann. Eugen., Lond., 1940,10, 422–429.

    Google Scholar 

  4. Flanagan, J. C. A short method of selecting the best combination of test items for a particular purpose.Psychol. Bull., 1936,33, 603–4.

    Google Scholar 

  5. Flanagan, J. C. The effectiveness of short methods for calculating correlation coefficients.Psychol. Bull., 1952,49, 342–348.

    Google Scholar 

  6. Gleser, G. C., and DuBois, P. H. A successive approximation method of maximizing test validity.Psychometrika, 1951,16, 129–139.

    Google Scholar 

  7. Guilford, J. P. Psychometric methods (2nd Ed.). New York: McGraw-Hill, 1954.

    Google Scholar 

  8. Gulliksen, H. Theory of mental tests. New York: Wiley, 1950. Chap. 21.

    Google Scholar 

  9. Horst, P. Item selection by means of a maximizing function.Psychometrika, 1936,1, 229–244.

    Google Scholar 

  10. Hotelling, H. Relations between two sets of variates.Biometrika. 1936,28, 321–377.

    Google Scholar 

  11. Loevinger, Jane, Gleser, Goldine C., and DuBois, P. H. Maximizing the discriminating power of a multiple-score test.Psychometrika, 1953,18, 309–317.

    Google Scholar 

  12. Lord, F. M. Sampling fluctuations resulting from the sampling of test items.Psychometrika, 1955,20, 1–22.

    Google Scholar 

  13. Richardson, M. W., and Adkins, Dorothy C. A rapid method of selecting test items.J. educ. Psychol., 1938,29, 547–552.

    Google Scholar 

  14. Toops, H. A. TheL-method.Psychometrika, 1941,6, 249–266.

    Google Scholar 

  15. Tukey, J. W. Unsolved problems of experimental statistics.J. Amer. statist. Assoc., 1954,49, 706–731.

    Google Scholar 

  16. Webster, H. Approximating maximum test validity by a non-parametric method.Psychometrika, 1953,18, 207–211.

    Google Scholar 

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Webster, H. Maximizing test validity by item selection. Psychometrika 21, 153–164 (1956). https://doi.org/10.1007/BF02289096

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  • DOI: https://doi.org/10.1007/BF02289096

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