Incorporating calibration errors in oral reading fluency scoring.

IF 1.5 3区 心理学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS British Journal of Mathematical & Statistical Psychology Pub Date : 2024-05-10 DOI:10.1111/bmsp.12348
Xin Qiao, Akihito Kamata, Cornelis Potgieter
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Abstract

Oral reading fluency (ORF) assessments are commonly used to screen at-risk readers and evaluate interventions' effectiveness as curriculum-based measurements. Similar to the standard practice in item response theory (IRT), calibrated passage parameter estimates are currently used as if they were population values in model-based ORF scoring. However, calibration errors that are unaccounted for may bias ORF score estimates and, in particular, lead to underestimated standard errors (SEs) of ORF scores. Therefore, we consider an approach that incorporates the calibration errors in latent variable scores. We further derive the SEs of ORF scores based on the delta method to incorporate the calibration uncertainty. We conduct a simulation study to evaluate the recovery of point estimates and SEs of latent variable scores and ORF scores in various simulated conditions. Results suggest that ignoring calibration errors leads to underestimated latent variable score SEs and ORF score SEs, especially when the calibration sample is small.

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将校准误差纳入口语阅读流利度评分。
口语阅读流利度(ORF)评估通常用于筛选高危读者和评估干预措施的有效性,是以课程为基础的测量方法。与项目反应理论(IRT)中的标准做法类似,目前在基于模型的口语阅读流利度评分中,校准过的段落参数估计值被当作人口值使用。然而,未考虑的校准误差可能会使 ORF 分数估计值出现偏差,特别是会导致 ORF 分数的标准误差(SE)被低估。因此,我们考虑了一种将校准误差纳入潜在变量得分的方法。我们根据德尔塔法进一步推导 ORF 分数的 SE,以纳入校准的不确定性。我们进行了一项模拟研究,以评估在各种模拟条件下潜在变量得分和 ORF 分数的点估计值和 SE 的恢复情况。结果表明,忽略校准误差会导致低估潜变量得分 SE 和 ORF 分数 SE,尤其是当校准样本较小时。
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来源期刊
CiteScore
5.00
自引率
3.80%
发文量
34
审稿时长
>12 weeks
期刊介绍: The British Journal of Mathematical and Statistical Psychology publishes articles relating to areas of psychology which have a greater mathematical or statistical aspect of their argument than is usually acceptable to other journals including: • mathematical psychology • statistics • psychometrics • decision making • psychophysics • classification • relevant areas of mathematics, computing and computer software These include articles that address substantitive psychological issues or that develop and extend techniques useful to psychologists. New models for psychological processes, new approaches to existing data, critiques of existing models and improved algorithms for estimating the parameters of a model are examples of articles which may be favoured.
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