Hostname: page-component-745bb68f8f-kw2vx Total loading time: 0 Render date: 2025-01-08T10:26:40.518Z Has data issue: false hasContentIssue false
  • English
  • Français

A Note on the Standard Length of a Test

Published online by Cambridge University Press:  01 January 2025

Charles T. Myers
Charles T. Myers*
Affiliation:
Educational Testing Service
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper describes a relationship between the variance-covariance matrix of test items and Woodbury's concept of the standard length of a test. An index of item-test relationship is described in standard length terms. The sum of these indices for the items in a test is equal to the square of Jackson's coefficient of sensitivity.

Type
Original Paper
Information
Psychometrika , Volume 26 , Issue 4 , December 1961 , pp. 443 - 446
Copyright
Copyright © 1961 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Cronbach, L. J. Coefficientalpha and the internal structure of tests. Psychometrika, 1951, 16, 297–334.CrossRefGoogle Scholar
Gulliksen, H. Theory of mental tests, New York: Wiley, 1950.CrossRefGoogle Scholar
Jackson, R. W. B. Reliability of mental tests. Brit. J. Psychol, 1939, 29, 267–287.Google Scholar
Woodbury, M. On the standard length of a test. Psychometrika, 1951, 16, 103–106.CrossRefGoogle Scholar
Woodbury, M. and Lord, F. M. The most reliable composite with a specified true score. Brit. J. statist. Psychol., 1956, 9, 21–28.CrossRefGoogle Scholar