Hostname: page-component-76c49bb84f-vcmr7 Total loading time: 0 Render date: 2025-07-13T01:58:48.828Z Has data issue: false hasContentIssue false
  • English
  • Français

A Test of Inclusion which allows for Errors of Measurement

Published online by Cambridge University Press:  01 January 2025

Richard T. White  and
R. Malcolm Clark
Richard T. White
Affiliation:
Monash University
R. Malcolm Clark
Affiliation:
University of Melbourne
Get access Rights & Permissions [Opens in a new window]

Abstract

A test which allows for errors of measurement is derived for the hypothesis that all the members of a population who possess a certain skill are a sub-set of the members who possess another skill. Formulae are given for one particular case when two questions are used for each skill, and for when three questions are used for each skill. An illustrative example is given for the two-question case.

Information

Type
Original Paper
Information
Psychometrika , Volume 38 , Issue 1 , March 1973 , pp. 77 - 86
Copyright
Copyright © 1973 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.)

Article purchase

Temporarily unavailable

Footnotes

*

The authors are indebted to M. L. Turner for his assistance in the initial stages of development of the test.

References

Blischke, W. R. Moment estimators for the parameters of a mixture of two binomial distributions. Annals of Mathematical Statistics, 1962, 33, 444–454CrossRefGoogle Scholar
Cox, R. C., and Graham, G. T. The development of a sequentially scaled achievement test. Journal of Educational Measurement, 1966, 3, 147–150CrossRefGoogle Scholar
Gagné, R. M., and Paradise, N. E. Abilities and learning sets in knowledge acquisition. Psychological Monographs, 1961, 75(14), 1–23CrossRefGoogle Scholar
Rao, C. R. Linear statistical inference and its applications, 1965, New York: WileyGoogle Scholar
Teicher, H. Identifiability of finite mixtures. Annals of Mathematical Statistics, 1963, 34, 1265–1269CrossRefGoogle Scholar
White, R. T. Learning graphical skills in kinematics. Ph.D. thesis, Monash University, 1971.Google Scholar