A latent topic model with Markov transition for process data
| العنوان: | A latent topic model with Markov transition for process data |
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| المؤلفون: | Haochen Xu, Guanhua Fang, Zhiliang Ying |
| المصدر: | British Journal of Mathematical and Statistical Psychology. 73:474-505 |
| بيانات النشر: | Wiley, 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Statistics and Probability, Topic model, Theoretical computer science, Process (engineering), Computer science, Bayesian probability, 01 natural sciences, 010104 statistics & probability, 0504 sociology, Arts and Humanities (miscellaneous), Cluster Analysis, Humans, Air Conditioning, Computer Simulation, 0101 mathematics, Cluster analysis, Hidden Markov model, Problem Solving, General Psychology, Structure (mathematical logic), Likelihood Functions, Models, Statistical, 05 social sciences, 050401 social sciences methods, Bayes Theorem, Numerical Analysis, Computer-Assisted, General Medicine, Markov Chains, Educational Measurement, State (computer science), Computational problem, Algorithms |
| الوصف: | We propose a latent topic model with a Markov transition for process data, which consists of time-stamped events recorded in a log file. Such data are becoming more widely available in computer-based educational assessment with complex problem-solving items. The proposed model can be viewed as an extension of the hierarchical Bayesian topic model with a hidden Markov structure to accommodate the underlying evolution of an examinee's latent state. Using topic transition probabilities along with response times enables us to capture examinees' learning trajectories, making clustering/classification more efficient. A forward-backward variational expectation-maximization (FB-VEM) algorithm is developed to tackle the challenging computational problem. Useful theoretical properties are established under certain asymptotic regimes. The proposed method is applied to a complex problem-solving item in the 2012 version of the Programme for International Student Assessment (PISA). |
| تدمد: | 2044-8317 0007-1102 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a44efb249f58be2271f6c947e615f1fbTest https://doi.org/10.1111/bmsp.12197Test |
| حقوق: | CLOSED |
| رقم الانضمام: | edsair.doi.dedup.....a44efb249f58be2271f6c947e615f1fb |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 20448317 00071102 |
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