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.
Similar content being viewed by others
References
Blischke, W. R. Moment estimators for the parameters of a mixture of two binomial distributions.Annals of Mathematical Statistics, 1962,33, 444–454.
Cox, R. C. & Graham, G. T. The development of a sequentially scaled achievement test.Journal of Educational Measurement, 1966,3, 147–150.
Gagné, R. M. & Paradise, N. E. Abilities and learning sets in knowledge acquisition.Psychological Monographs, 1961,75 (14), 1–23.
Rao, C. R.Linear statistical inference and its applications, New York, Wiley, 1965.
Teicher, H. Identifiability of finite mixtures.Annals of Mathematical Statistics, 1963,34, 1265–1269.
White, R. T. Learning graphical skills in kinematics. Ph.D. thesis, Monash University, 1971.
Author information
Authors and Affiliations
Additional information
The authors are indebted to M. L. Turner for his assistance in the initial stages of development of the test.
Rights and permissions
About this article
Cite this article
White, R.T., Clark, R.M. A test of inclusion which allows for errors of measurement. Psychometrika 38, 77–86 (1973). https://doi.org/10.1007/BF02291176
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02291176