Should We account for classrooms? Analyzing online experimental data with student-level randomization

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Abstract

Emergent technologies present platforms for educational researchers to conduct randomized controlled trials (RCTs) and collect rich data to study students’ performance, behavior, learning processes, and outcomes in authentic learning environments. As educational research increasingly uses methods and data collection from such platforms, it is necessary to consider the most appropriate ways to analyze this data to draw causal inferences from RCTs. Here, we examine whether and how analysis results are impacted by accounting for multilevel variance in samples from RCTs with student-level randomization within one platform. We propose and demonstrate a method that leverages auxiliary non-experimental “remnant” data collected within a learning platform to inform analysis decisions. Specifically, we compare five commonly-applied analysis methods to estimate treatment effects while accounting for, or ignoring, class-level factors and observed measures of confidence and accuracy to identify best practices under real-world conditions. We find that methods that account for groups as either fixed effects or random effects consistently outperform those that ignore group-level factors, even though randomization was applied at the student level. However, we found no meaningful differences between the use of fixed or random effects as a means to account for groups. We conclude that analyses of online experiments should account for the naturally-nested structure of students within classes, despite the notion that student-level randomization may alleviate group-level differences. Further, we demonstrate how to use remnant data to identify appropriate methods for analyzing experiments. These findings provide practical guidelines for researchers conducting RCTs in similar educational technologies to make more informed decisions when approaching analyses.

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我们应该考虑教室吗?利用学生层面的随机化分析在线实验数据
摘要 新兴技术为教育研究人员提供了进行随机对照试验(RCT)和收集丰富数据的平台,以研究学生在真实学习环境中的表现、行为、学习过程和结果。随着教育研究越来越多地使用来自此类平台的方法和数据收集,有必要考虑分析这些数据的最合适方法,以便从 RCT 中得出因果推论。在此,我们将研究在一个平台上对采用学生水平随机化的 RCT 样本进行多层次差异分析是否会影响分析结果,以及如何影响分析结果。我们提出并演示了一种方法,利用在学习平台中收集的辅助性非实验 "残余 "数据为分析决策提供信息。具体来说,我们比较了五种常用的分析方法,以估算治疗效果,同时考虑或忽略班级层面的因素以及观察到的置信度和准确度指标,从而确定真实世界条件下的最佳实践。我们发现,即使在学生层面采用了随机化,将群体视为固定效应或随机效应的方法始终优于忽略群体层面因素的方法。然而,我们发现使用固定效应或随机效应作为考虑群体的方法之间并没有明显的差异。我们的结论是,尽管学生层面的随机化可能会减轻群体层面的差异,但在线实验分析应考虑班级内学生的自然嵌套结构。此外,我们还展示了如何利用残余数据来确定适当的实验分析方法。这些发现为在类似教育技术领域开展 RCT 的研究人员提供了实用指南,以便他们在进行分析时做出更明智的决定。
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