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Generalization of the Lord-Wingersky Algorithm to Computing the Distribution of Summed Test Scores Based on Real-Number Item Scores

Title
Generalization of the Lord-Wingersky Algorithm to Computing the Distribution of Summed Test Scores Based on Real-Number Item Scores
Author
김성훈
Keywords
EM ALGORITHM; IRT; MODEL
Issue Date
2013-12
Publisher
Blackwell Publishing Ltd
Citation
Journal of Educational Measurement, Vol.50, No.4 [2013], p
Abstract
With known item response theory (IRT) item parameters, Lord and Wingersky provided a recursive algorithm for computing the conditional frequency distribution of number-correct test scores, given proficiency. This article presents a generalized algorithm for computing the conditional distribution of summed test scores involving real-number item scores. The generalized algorithm is distinct from the Lord-Wingersky algorithm in that it explicitly incorporates the task of figuring out all possible unique real-number test scores in each recursion. Some applications of the generalized recursive algorithm, such as IRT test score reliability estimation and IRT proficiency estimation based on summed test scores, are illustrated with a short test by varying scoring schemes for its items.
URI
http://onlinelibrary.wiley.com/doi/10.1111/jedm.12024/abstract?http://hdl.handle.net/20.500.11754/45780
ISSN
0022-0655
DOI
10.1111/jedm.12024
Appears in Collections:
COLLEGE OF EDUCATION[S](사범대학) > EDUCATION(교육학과) > Articles
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