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Estimation of Conditional Standard Errors of Measurement for MLE Scores in MST
Journal article   Open access   Peer reviewed

Estimation of Conditional Standard Errors of Measurement for MLE Scores in MST

Yuanyuan J. Stirn and Won-Chan Lee
Educational and psychological measurement
02/25/2026
DOI: 10.1177/00131644261420391
PMCID: PMC12945742
PMID: 41767786
url
https://pmc.ncbi.nlm.nih.gov/articles/PMC12945742/View
Open Access

Abstract

This paper proposes an information-based analytic method for calculating the conditional standard error of measurement (CSEM) in multistage testing (MST) using maximum likelihood estimation. The accuracy of the proposed method was evaluated by comparing CSEMs computed using the analytic method with those obtained from simulation across the same four MST designs. The results show that analytic and simulation-based CSEMs converge as test length increases, indicating that the proposed method provides a reliable approximation for longer tests. However, shorter tests and more complex MST designs require additional items to achieve comparable accuracy. The study also compared the proposed method with Park et al.’s analytic approach. Practical implications of the proposed method are discussed.
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