The Relationship Between Factorial Composition of Test Items and Measures of Test Reliability  

Oleh:

Cotton, John W. ; Campbell, Donald T. ; Malone, R. Daniel

Jenis: Article from Journal - e-Journal
Dalam koleksi: Psychometrika: A Journal of Quantitative Psychology vol. 22 no. 4 (Dec. 1957), page 347-357.
Topik: Test Items; Test Reliability; Theory of the Continuous Case; Theory of the Dichotomous Case; The Estimation of H 2
Fulltext: Vol 22 No. 4 Dec 1957 p.347-357.pdf (516.33KB)

Isi artikel

For continuous distributions associated with dichotomous item scores, the proportion of common-factor variance in the test,H 2, may be expressed as a function of intercorrelations among items.H 2 is somewhat larger than the coefficienta except when the items have only one common factor and its loadings are restricted in value. The dichotomous item scores themselves are shown not to have a factor structure, precluding direct interpretation of the Kuder-Richardson coefficient,r K-R, in terms of factorial properties. The value ofr K-R is equal to that of a coefficient of equivalence,H 2 F, when the mean item variance associated with common factors equals the mean interitem covariance. An empirical study with synthetic test data from populations of varying factorial structure showed that the four parameters mentioned may be adequately estimated from dichotomous data.

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