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Measurement Error in Count Data: A Case Study in Oral Reading Accuracy

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2025-05-19
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Oral Reading Accuracy (ORA) measures how accurately students read aloud and plays a key role in assessing reading proficiency. This study investigates the use of speech recognition systems for ORA scoring, focusing on the statistical estimation of misclas- sification rates when both human and AI scores may contain errors. Using data from 507 elementary school students across ten passages of varying lengths and difficulties, we evaluate classification accuracy in terms of true positive (correct words identified as correct) and true negative (incorrect words misclassified as correct) rates. We develop estimation procedures for these misclassification rates using the Method of Moments (MOM) and the Generalized Method of Moments (GMM), accounting for scenarios with two contaminated data sources. This work considers both the scenario where true counts are observed and the more realistic case where only contaminated scores are available, demonstrating that reliable performance metrics can still be recovered and supporting the scalability of automated ORA assessments.
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Mathematics
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