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The factorial interpretation of test difficulty

The factorial interpretation of test difficulty Abstract This paper discusses the influence of test difficulty on the correlation between test items and between tests. The greater the difference in difficulty between two test items or between two tests the smaller the maximum correlation between them. In general, the greater the number of degrees of difficulty among the items in a test or among the tests in a battery, the higher the rank of the matrix of intercorrelations; that is, differences in difficulty are represented in the factorial configuration as additional factors. The suggestion is made that if all tests included in a battery are roughly homogeneous with respect to difficulty existing hierarchies will be more clearly defined and meaningful psychological interpretation of factors more readily attained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Psychometrika Cambridge University Press

The factorial interpretation of test difficulty

Psychometrika , Volume 6 (5): 7 – Oct 1, 1941

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Publisher
Cambridge University Press
Copyright
1941 Psychometric Society
ISSN
0033-3123
eISSN
1860-0980
DOI
10.1007/bf02288588
Publisher site
See Article on Publisher Site

Abstract

Abstract This paper discusses the influence of test difficulty on the correlation between test items and between tests. The greater the difference in difficulty between two test items or between two tests the smaller the maximum correlation between them. In general, the greater the number of degrees of difficulty among the items in a test or among the tests in a battery, the higher the rank of the matrix of intercorrelations; that is, differences in difficulty are represented in the factorial configuration as additional factors. The suggestion is made that if all tests included in a battery are roughly homogeneous with respect to difficulty existing hierarchies will be more clearly defined and meaningful psychological interpretation of factors more readily attained.

Journal

PsychometrikaCambridge University Press

Published: Oct 1, 1941

Keywords: Psychometrics; Assessment, Testing and Evaluation; Statistics for Social Sciences, Humanities, Law; Statistical Theory and Methods

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