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Psychometrika

, Volume 22, Issue 3, pp 207–220 | Cite as

A significance test for the hypothesis that two variables measure the same trait except for errors of measurement

  • Frederic M. Lord
Article

Abstract

The likelihood-ratio significance test is derived for the hypothesis that after correction for attenuation two variables have a perfect correlation in the population from which the sample is drawn.

Keywords

Attenuation Public Policy Significance Test Statistical Theory Perfect Correlation 
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.

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References

  1. [1]
    Chernoff, H. On the distribution of the likelihood ratio.Ann. math. Stat., 1954,25, 573–578.Google Scholar
  2. [2]
    Cramér, H. Mathematical methods of statistics. Princeton, N. J.: Princeton Univ. Press, 1946.Google Scholar
  3. [3]
    Gulliksen, H. Theory of mental tests. New York: Wiley, 1950.Google Scholar
  4. [4]
    Kelley, T. L. Fundamentals of statistics. Cambridge: Harvard Univ. Press, 1947.Google Scholar
  5. [5]
    Lord, F. M. A study of speed factors in tests and academic grades.Psychometrika, 1956,20, 31–49.Google Scholar
  6. [6]
    Mood, A. B. Introduction to the theory of statistics. New York: McGraw-Hill, 1950.Google Scholar
  7. [7]
    Peters, C. C. and VanVoorhis, W. R. Statistical procedures and their mathematical bases. New York: McGraw-Hill, 1940.Google Scholar
  8. [8]
    Votaw, D. F., Jr. Testing compound symmetry in a normal multivariate distribution.Ann. math. Stat., 1948,19, 447–473.Google Scholar

Copyright information

© Psychometric Society 1957

Authors and Affiliations

  • Frederic M. Lord
    • 1
  1. 1.Educational Testing ServiceUSA

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