Differential and Functional Response Time Item Analysis: An Application to Understanding Paper versus Digital Reading Processes

IF 1.4 4区 心理学 Q3 PSYCHOLOGY, APPLIED Journal of Educational Measurement Pub Date : 2024-04-08 DOI:10.1111/jedm.12389
Sun-Joo Cho, Amanda Goodwin, Matthew Naveiras, Jorge Salas
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Abstract

Despite the growing interest in incorporating response time data into item response models, there has been a lack of research investigating how the effect of speed on the probability of a correct response varies across different groups (e.g., experimental conditions) for various items (i.e., differential response time item analysis). Furthermore, previous research has shown a complex relationship between response time and accuracy, necessitating a functional analysis to understand the patterns that manifest from this relationship. In this study, response time data are incorporated into an item response model for two purposes: (a) to examine how individuals' speed within an experimental condition affects their response accuracy on an item, and (b) to detect the differences in individuals' speed between conditions in the presence of within-condition effects. For these two purposes, by-variable smooth functions are employed to model differential and functional response time effects by experimental condition for each item. This model is illustrated using an empirical data set to describe the effect of individuals' speed on their reading comprehension ability in two experimental conditions of reading medium (paper vs. digital) by item. A simulation study showed that the recovery of parameters and by-variable smooth functions of response time was satisfactory, and that the type I error rate and power of the test for the by-variable smooth function of response time were acceptable in conditions similar to the empirical data set. In addition, the proposed method correctly identified the range of response time where between-condition differences in the effect of response time on the probability of a correct response were accurate.

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差异和功能响应时间项目分析:应用于理解纸质和数字阅读过程
尽管将反应时间数据纳入项目反应模型的兴趣日益浓厚,但一直缺乏研究调查不同组别(如实验条件)对不同项目的速度对正确反应概率的影响是如何变化的(即差异反应时间项目分析)。此外,以往的研究表明,反应时间与正确率之间存在复杂的关系,因此有必要进行功能分析,以了解这种关系所体现的模式。在本研究中,将反应时间数据纳入项目反应模型有两个目的:(a) 检验个体在实验条件下的速度如何影响其对项目的反应准确性;(b) 在存在条件内效应的情况下,检测个体在不同条件下的速度差异。为了实现这两个目的,我们采用了副变量平滑函数来模拟每个项目在实验条件下的差异和功能反应时间效应。该模型通过一组经验数据来说明在两种阅读媒介(纸质阅读媒介和数字阅读媒介)的实验条件下,个人速度对其阅读理解能力的影响。模拟研究表明,参数和响应时间的副变平滑函数的恢复令人满意,在与经验数据集类似的条件下,响应时间的副变平滑函数的 I 类错误率和检验功率是可以接受的。此外,所提出的方法还正确确定了响应时间的范围,在该范围内,响应时间对正确响应概率的影响的条件间差异是准确的。
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来源期刊
CiteScore
2.30
自引率
7.70%
发文量
46
期刊介绍: The Journal of Educational Measurement (JEM) publishes original measurement research, provides reviews of measurement publications, and reports on innovative measurement applications. The topics addressed will interest those concerned with the practice of measurement in field settings, as well as be of interest to measurement theorists. In addition to presenting new contributions to measurement theory and practice, JEM also serves as a vehicle for improving educational measurement applications in a variety of settings.
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