Boolean analysis of questionnaire data |
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| Affiliation: | 1. Institute of Applied Science, Department of Environmental Biology and Education, Gyula Juhász Faculty of Education, University of Szeged, Szeged H-6725, Hungary;2. Department of Pulmonology, Faculty of Medicine, University of Szeged, Deszk H-6772, Hungary;3. Department of Medical Physics and Informatics, Faculty of Medicine, University of Szeged, Szeged H-6725, Hungary;4. Invasive Cardiology Department, Second Department of Internal Medicine and Cardiology, Faculty of Medicine, University of Szeged, Szeged H-6725, Hungary;5. Endocrine Unit of First Department of Internal Medicine, Faculty of Medicine, University of Szeged, Szeged H-6725, Hungary;6. Department of Pathology, Faculty of Medicine, University of Szeged, Szeged H-6725, Hungary;1. College of Computer Science & Technology, Qingdao University, Qingdao 266071, China;2. SKLOIS, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, China;3. EECS, The University of Kansas. Lawrence, KS 66045, USA |
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| Abstract: | The principle of Boolean analysis is to look for entailments between variables in a questionnaire. If all the respondents answering “yes” to the question X answers “yes” to the question Y, we note the entailment X → Y. Boolean algebra generalizes this approach. A questionnaire of n binary variables generates a set of 2n possible patterns of response. These patterns generate a Boolean algebra. If only some of the possible patterns are present, the bipartition in this set defines a Boolean equation, the solutions of which are entailments. Usually we use approximations of this structure to analyse a questionnaire. A presentation of the method is given here with application to sociological data. |
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