On the Identifiability of Diagnostic Classification Models
| العنوان: | On the Identifiability of Diagnostic Classification Models |
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| المؤلفون: | Guanhua Fang, Jingchen Liu, Zhiliang Ying |
| المصدر: | Psychometrika. 84:19-40 |
| بيانات النشر: | Springer Science and Business Media LLC, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Adult, Male, FOS: Computer and information sciences, Psychometrics, Computer science, Mathematics - Statistics Theory, Statistics Theory (math.ST), Machine learning, computer.software_genre, 01 natural sciences, Statistics, Nonparametric, Methodology (stat.ME), 010104 statistics & probability, Cognition, 0504 sociology, FOS: Mathematics, Humans, Computer Simulation, Diagnosis, Computer-Assisted, 0101 mathematics, Statistics - Methodology, General Psychology, Generality, Models, Statistical, business.industry, Applied Mathematics, 05 social sciences, Information structure, 050401 social sciences methods, Estimator, Bayes Theorem, Phobia, Social, Middle Aged, Diagnostic classification, Class (biology), Distribution (mathematics), Latent Class Analysis, Identifiability, Artificial intelligence, Construct (philosophy), business, computer |
| الوصف: | This paper establishes fundamental results for statistical analysis based on diagnostic classification models (DCMs). The results are developed at a high level of generality and are applicable to essentially all diagnostic classification models. In particular, we establish identifiability results for various modeling parameters, notably item response probabilities, attribute distribution, and Q-matrix-induced partial information structure. These results are stated under a general setting of latent class models. Through a nonparametric Bayes approach, we construct an estimator that can be shown to be consistent when the identifiability conditions are satisfied. Simulation results show that these estimators perform well under various model settings. We also apply the proposed method to a dataset from the National Epidemiological Survey on Alcohol and Related Conditions (NESARC). |
| تدمد: | 1860-0980 0033-3123 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e7815fb759917c172210675b1e000a8Test https://doi.org/10.1007/s11336-018-09658-xTest |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....2e7815fb759917c172210675b1e000a8 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 18600980 00333123 |
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