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Generalizability of stratified-parallel tests

Generalizability of stratified-parallel tests 30, NO. 1 MAaCH, 1965 NAGESWARI RAJARATNAM, LEE J. CRONBACH, AND GOLDINE C. GLESER UNIVERSITY OF ILLINOIS $ One of the major concerns of reliability theory has been the estimation of the reliability of a composite measure from the degree of agreement among its component parts. In the classical theory, formulas were developed under the assumption that the parts are strictly equivalent. It was later shown that the same formulas follow from various sets of weaker assumptions which require the composites to be strictly equivalent and require the parts to have a certain homogeneity of statistical properties, but not necessarily to be equivalent. An alternative model which has received increasing at- tention in recent years regards a given measure as a random sample from a universe of measures whose homogeneity or equivalence is not specified a priori, and a composite test as a random sample of items from a universe of not-necessarily-equivalent items. This too permits an internal-consistency estimate of reliability. Both the equivalent-composites model and the random- sampling model appear to be unduly restrictive and unrealistic; we propose here to develop the implications of a third model in which a test is considered to have been formed by http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Psychometrika Springer Journals

Generalizability of stratified-parallel tests

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References (19)

Publisher
Springer Journals
Copyright
1965 Psychometric Society
ISSN
0033-3123
eISSN
1860-0980
DOI
10.1007/BF02289746
Publisher site
See Article on Publisher Site

Abstract

30, NO. 1 MAaCH, 1965 NAGESWARI RAJARATNAM, LEE J. CRONBACH, AND GOLDINE C. GLESER UNIVERSITY OF ILLINOIS $ One of the major concerns of reliability theory has been the estimation of the reliability of a composite measure from the degree of agreement among its component parts. In the classical theory, formulas were developed under the assumption that the parts are strictly equivalent. It was later shown that the same formulas follow from various sets of weaker assumptions which require the composites to be strictly equivalent and require the parts to have a certain homogeneity of statistical properties, but not necessarily to be equivalent. An alternative model which has received increasing at- tention in recent years regards a given measure as a random sample from a universe of measures whose homogeneity or equivalence is not specified a priori, and a composite test as a random sample of items from a universe of not-necessarily-equivalent items. This too permits an internal-consistency estimate of reliability. Both the equivalent-composites model and the random- sampling model appear to be unduly restrictive and unrealistic; we propose here to develop the implications of a third model in which a test is considered to have been formed by

Journal

Psychometrika – Springer Journals

Published: Mar 1, 1965

Keywords: Psychometrics; Assessment, Testing and Evaluation; Statistics for Social Sciences, Humanities, Law; Statistical Theory and Methods

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