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Educational and Psychological Measurement, Vol. 58, No. 6, 916-928 (1998)
DOI: 10.1177/0013164498058006004

CA and SPOD for the Analysis of Tests Comprised of Binary Items

Michael D. Maraun

Simon Fraser University

Jeremy S. H. Jackson

Simon Fraser University

Craig R. Luccock

Simon Fraser University

Sharon E. Belfer

Simon Fraser University

Roland D. Chrisjohn

Treaty 7 Tribal Council

A test comprised of binary items has an associated theoretical structure (TS) Tp(D, R, E), which may be paired with any of a number of possible quantitative characterizations (QCs). The aim of test analysis is to examine whether a set of test items conforms to an appropriately chosen QC. In this article, the authors consider one of the most common TSs, Tp(D, R, E), in which D = 1 construct, R = monotone increasing item/construct regressions, and E = errors in variables. The authors then consider two QCs appropriate for this TS and review tests for each. Several examples are provided.


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