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Psychometrika

, Volume 38, Issue 1, pp 101–111 | Cite as

Testing a linear relation between true scores of two measures

  • Walter Kristof
Article

Abstract

We concern ourselves with the hypothesis that two variables have a perfect disattenuated correlation, hence measure the same trait except for errors of measurement. This hypothesis is equivalent to saying, within the adopted model, that true scores of two psychological tests satisfy a perfect linear relation. Statistical tests of this hypothesis are derived when the relation is specified with the exception of the additive constant. Two approaches are presented and various assumptions concerning the error parameters are used. Then the results are reinterpreted in terms of the possible existence of an unspecified perfect linear relation between true scores of two psychological tests. A numerical example is appended by way of illustration.

Keywords

Linear Relation True Score Psychological Test Vocabulary Test Population 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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Copyright information

© Psychometric Society 1973

Authors and Affiliations

  • Walter Kristof
    • 1
  1. 1.Educational Testing ServiceUSA

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