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Subtask analysis of process data through a predictive model
Authors:Zhi Wang  Xueying Tang  Jingchen Liu  Zhiliang Ying
Affiliation:1. Department of Statistics, Columbia University, New York City, NY, USA;2. Department of Mathematics, University of Arizona, Tucson, Arizona, USA
Abstract:Response process data collected from human–computer interactive items contain detailed information about respondents' behavioural patterns and cognitive processes. Such data are valuable sources for analysing respondents' problem-solving strategies. However, the irregular data format and the complex structure make standard statistical tools difficult to apply. This article develops a computationally efficient method for exploratory analysis of such process data. The new approach segments a lengthy individual process into a sequence of short subprocesses to achieve complexity reduction, easy clustering and meaningful interpretation. Each subprocess is considered a subtask. The segmentation is based on sequential action predictability using a parsimonious predictive model combined with the Shannon entropy. Simulation studies are conducted to assess the performance of the new method. We use a case study of PIAAC 2012 to demonstrate how exploratory analysis for process data can be carried out with the new approach.
Keywords:action prediction  entropy  process data  sequence segmentation
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