Hostname: page-component-745bb68f8f-g4j75 Total loading time: 0 Render date: 2025-01-08T11:54:43.887Z Has data issue: false hasContentIssue false
  • English
  • Français

A Note on the Calculation of Weights for Maximum Battery Reliability

Published online by Cambridge University Press:  01 January 2025

Bert F. Green Jr.
Bert F. Green Jr.*
Affiliation:
Educational Testing Service
Get access Rights & Permissions [Opens in a new window]

Abstract

Weights may be determined for combining tests so that the composite has maximum reliability, but the calculation of these weights by means of the original equations is cumbersome. It is shown that the desired weighted composite is the first principal axis of a matrix closely related to the intercorrelation matrix. Thus, simple and straightforward procedures are available for calculating the weights.

Type
Original Paper
Information
Psychometrika , Volume 15 , Issue 1 , March 1950 , pp. 57 - 61
Copyright
Copyright © 1950 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

Aitken, A. C. Studies in practical mathematics II. Proc. Roy. Soc. Edin., 1937, 57, 269–304.CrossRefGoogle Scholar
Gulliksen, H. The theory of mental tests. In manuscript.Google Scholar
Hotelling, H. Analysis of a complex of variables into principal components. J. educ. Psych., 1933, 24, 417–441.CrossRefGoogle Scholar
Lawley, D. N. The maximum likelihood method of estimating factor loadings. In Thomson, Godfre.(Eds.), The factorial analysis of human ability, Boston: Houghton Mifflin Co., 1948.Google Scholar
Peel, E. A. Prediction of a complex criterion and battery reliability. Brit. J. Psych., Stat. Sect., 1948, 1, 84–94.Google Scholar