Skip to main content
Log in

Some results based on a general stochastic model for mental tests

  • Published:
Psychometrika Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Birnbaum, A. Probability and statistics in item analysis and classification problems. Efficient design and use of tests of mental ability for various decision-making problems. Ser. Rep. No. 58-16, USAF Sch. Aviation Medicine, Randolph AFB, Texas, 1957.

  2. Birnbaum, A. Probability and statistics in item analysis and classification problems. On the estimation of mental ability. Ser. Rep. No. 15, USAF Sch. Aviation Medicine, Randolph AFB, Texas, 1957.

  3. Cramér, H.Mathematical methods of statistics. Princeton: Princeton Univ. Press, 1946.

    Google Scholar 

  4. Gibson, W. A. Nonlinear factors in two dimensions.Psychometrika, 1960,25, 381–392.

    Google Scholar 

  5. Green, B. F. A note on the calculation of weights for maximum battery reliability.Psychometrika, 1950,15, 57–61.

    Google Scholar 

  6. Gulliksen, H.Theory of mental tests. New York: Wiley, 1950.

    Google Scholar 

  7. Guttman, L. The basis for scalogram analysis. In S. A. Stoufferet al. (Eds.),Measurement and prediction. Princeton: Princeton Univ. Press, 1950.

    Google Scholar 

  8. Horst, P.Matrix algebra for social scientists. New York: Holt, Rinehart and Winston, 1963.

    Google Scholar 

  9. Lazarsfeld, P. F. The logical and mathematical foundation of latent structure analysis. In S. A. Stoufferet al. (Eds.),Measurement and prediction. Princeton: Princeton Univ. Press, 1950. Pp. 362–412.

    Google Scholar 

  10. Lazarsfeld, P. F. A conceptual introduction to latent structure analysis. In P. F. Lazarsfeld (Ed.),Mathematical thinking in the social sciences. Glencoe, Ill.: Free Press, 1954. Pp. 349–387.

    Google Scholar 

  11. Lazarsfeld, P. F. Latent structure analysis and test theory. In H. Gulliksen and S. Messick (Eds.),Psychological scaling: theory and applications. New York: Wiley, 1960. Pp. 83–96.

    Google Scholar 

  12. Loevinger, J. A systematic approach to the construction and evaluation of tests of ability.Psychol. Monogr., 1947,61, No. 285.

    Google Scholar 

  13. Lord, F. M. A theory of test scores.Psychometric Monogr., 1952, No. 7.

  14. McDonald, R. P. A note on the derivation of the general latent class model.Psychometrika, 1962,27, 203–206.

    Google Scholar 

  15. McDonald, R. P. A general approach to nonlinear factor analysis.Psychometrika, 1962,27, 397–414.

    Google Scholar 

  16. Peel, E. A. A short method for calculating maximum battery reliability.Nature, 1947,159, 816.

    Google Scholar 

  17. Rao, C. R. Estimation and tests of significance in factor analysis.Psychometrika, 1955,20, 93–111.

    Google Scholar 

  18. Rasch, G.Studies in mathematical psychology. I. Probabilistic models for some intelligence and attainment tests. Copenhagen, Denmark: Danish Inst. Educ. Res., 1960.

    Google Scholar 

  19. Tucker, L. R. Maximum validity of a test with equivalent items.Psychometrika, 1946,11, 1–13.

    Google Scholar 

  20. Vinsonhaler, J. F. Stochastic models for repeated presentations of mental test items. Unpublished Ph.D. dissertation, Univ. California, Berkeley, January 1965.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Meredith, W. Some results based on a general stochastic model for mental tests. Psychometrika 30, 419–440 (1965). https://doi.org/10.1007/BF02289532

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02289532

Keywords

Navigation