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Detection of Test Speededness Using Change-Point Analysis

Published online by Cambridge University Press:  01 January 2025

Can Shao,
Jun Li and
Ying Cheng
Can Shao
Affiliation:
University of Notre Dame
Jun Li*
Affiliation:
University of Notre Dame
Ying Cheng*
Affiliation:
University of Notre Dame
*
Jun Li, Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, 171 Hurley Hall, Notre Dame, IN 46556, USA. Email: jun.li@nd.edu
Correspondence should be made to Ying Cheng, Department of Psychology, University of Notre Dame, 118 Haggar Hall, Notre Dame, IN 46556, USA. Email: ycheng4@nd.edu
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Abstract

Change-point analysis (CPA) is a well-established statistical method to detect abrupt changes, if any, in a sequence of data. In this paper, we propose a procedure based on CPA to detect test speededness. This procedure is not only able to classify examinees into speeded and non-speeded groups, but also identify the point at which an examinee starts to speed. Identification of the change point can be very useful. First, it informs decision makers of the appropriate length of a test. Second, by removing the speeded responses, instead of the entire response sequence of an examinee suspected of speededness, ability estimation can be improved. Simulation studies show that this procedure is efficient in detecting both speeded examinees and the speeding point. Ability estimation is dramatically improved by removing speeded responses identified by our procedure. The procedure is then applied to a real dataset for illustration purpose.

Keywords

test speedednesschange-point analysisfalse discovery ratelikelihood ratio statisticitem response theory

Information

Type
Article
Information
Psychometrika , Volume 81 , Issue 4 , December 2016, pp. 1118 - 1141
Copyright
Copyright © 2015 The Psychometric Society

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