A MODEL FOR THE GENERALIZABILITY OF TESTS CONSTRUCTED BY STRATIFIED SAMPLING.
Abstract
A mathematical model is constructed to investigate the generalizability of tests considered to be constructed by sampling from a stratified universe of items. Items are not assumed to be equivalent, nor test-forms paralled. The basic assumptions are those of Rajaratnam, Cronbach, and Gleser; but though the mathematical development is quite different, the model generates generalizability coefficients whose estimates from test data are precisely those of Rajaratnam et al. They are stratified variants of the Kuder and Richardson formulas 20 and 21. Order relations among them are derived, and certain of their properties are investigated. Predictions from the model are shown to have empirical support. The study thus confirms the results of Rajaratnam et al., and sheds additional light on the behavior of the generalizability coefficients discussed by them. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1965
- Accession Number
- AD0624901
Entities
People
- Douglas Mckie
Organizations
- University of Illinois Urbana–Champaign