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February 28, 2026Educational and Psychological Measurement0 citations

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

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YSYuanyuan J. StirnWLWon‐Chan Lee

Key Points

  • This research aims to propose a new method for estimating the conditional standard error of measurement in multistage testing.
  • Developed an information-based analytic method for calculating conditional standard error of measurement (CSEM).
  • Compared CSEM computed through the analytic method with simulation results across four MST designs.
  • Evaluated the accuracy of the analytic method against Park et al.'s approach.
  • Analytic and simulation-based CSEMs converge as test length increases.
  • Shorter tests require additional items for similar accuracy in measurement.
  • The proposed method offers a reliable approximation for longer multistage tests.

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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Cite This Study

Stirn et al. (2026) studied this question.

synapsesocial.com/papers/69a286720a974eb0d3c01721https://doi.org/10.1177/00131644261420391
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