Using Elo Rating as a Metric for Comparative Judgement in Educational Assessment

TL;DR

This paper explores using Elo ratings, a method from competitive gaming, as an efficient and reliable alternative to comparative judgement in educational assessment, validated through Twitter data on political humor.

Contribution

It demonstrates that Elo ratings closely match traditional comparative judgement rankings, offering a scalable and potentially less biased assessment method.

Findings

Elo ratings correlate highly with CJ rankings (Kendall's tau 0.96)

Elo method is statistically significantly similar to CJ

Potential for wider application in educational contexts

Abstract

Marking and feedback are essential features of teaching and learning, across the overwhelming majority of educational settings and contexts. However, it can take a great deal of time and effort for teachers to mark assessments, and to provide useful feedback to the students. Furthermore, it also creates a significant cognitive load on the assessors, especially in ensuring fairness and equity. Therefore, an alternative approach to marking called comparative judgement (CJ) has been proposed in the educational space. Inspired by the law of comparative judgment (LCJ). This pairwise comparison for as many pairs as possible can then be used to rank all submissions. Studies suggest that CJ is highly reliable and accurate while making it quick for the teachers. Alternative studies have questioned this claim suggesting that the process can increase bias in the results as the same submission is shown many times to an assessor for increasing reliability. Additionally, studies have also found that CJ can result in the overall marking process taking longer than a more traditional method of marking as information about many pairs must be collected. In this paper, we investigate Elo, which has been extensively used in rating players in zero-sum games such as chess. We experimented on a large-scale Twitter dataset on the topic of a recent major UK political event ("Brexit", the UK's political exit from the European Union) to ask users which tweet they found funnier between a pair selected from ten tweets. Our analysis of the data reveals that the Elo rating is statistically significantly similar to the CJ ranking with a Kendall's tau score of 0.96 and a p-value of 1.5x10^(-5). We finish with an informed discussion regarding the potential wider application of this approach to a range of educational contexts.