Advertisement

Psychometrika

, Volume 24, Issue 1, pp 19–27 | Cite as

A statistical test for the significance of a coefficient of reproducibility

  • Philip C. Sagi
Article

Abstract

Under the assumption that responses to different dichotomous items are statistically independent, exact distributions for coefficients of reproducibility, CR, are derived. These distributions are useful in testing whether an observed coefficient of reproducibility differs significantly from chance expectations and whether further scaling manipulations are warranted. The effects of purification on sampling distributions of errors are calculated to demonstrate a relationship between scaling operations and expected chance values of the CR.

Keywords

Purification Public Policy Statistical Theory Sampling Distribution Exact Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Goodman, L. A. Simple statistical methods for scalogram analysis.Psychometrika, 1959,24, 29–43.Google Scholar
  2. [2]
    Green, B. F. A method of scalogram analysis using summary statistics.Psychometrika, 1956,21, 79–88.Google Scholar
  3. [3]
    Guttman, L. The basis for scalogram analysis. In S. A. Stouffer et al.,Measurement and prediction. Princeton: Princeton Univ. Press, 1950, Pp. 60–90.Google Scholar
  4. [4]
    Guttman, L. Problems of reliability. In S. A. Stouffer et al.,Measurement and prediction. Princeton: Princeton Univ. Press, 1950, Pp. 277–311.Google Scholar
  5. [5]
    Kenney, J. F. and Keeping, E. S.Mathematics of statistics, Pt. II. New York: Van Nostrand, 1951.Google Scholar
  6. [6]
    Loevinger, J. A systematic approach to the construction and evaluation of tests of ability.Psychol. Monogr., 1947,61, No. 4.Google Scholar
  7. [7]
    Loevinger, J. The technic of homogeneous tests compared with some aspects of “scale analysis” and factor analysis.Psychol. Bull., 1948,45, 507–529.Google Scholar
  8. [8]
    White, B. W. and Saltz, E. Measurement of reproducibility.Psychol. Bull., 1957,54, 82–99.Google Scholar

Copyright information

© Psychometric Society 1959

Authors and Affiliations

  • Philip C. Sagi
    • 1
  1. 1.Princeton UniversityUSA

Personalised recommendations