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Hierarchical Classes: Model and Data Analysis
Abstract
A discrete, categorical model and a corresponding data-analysis method are presented for two-way two-mode (objects × attributes) data arrays with 0, 1 entries. The model contains the following two basic components: a set-theoretical formulation of the relations among objects and attributes; a Boolean decomposition of the matrix. The set-theoretical formulation defines a subset of the possible decompositions as consistent with it. A general method for graphically representing the set-theoretical decomposition is described. The data-analysis algorithm, dubbed HICLAS, aims at recovering the underlying structure in a data matrix by minimizing the discrepancies between the data and the recovered structure. HICLAS is evaluated with a simulation study and two empirical applications.
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Citations
Cited by
Meyer, I. H., Schwartz, S., & Frost, D. M. (2008) · Social Science & Medicine · doi:10.1016/j.socscimed.2008.03.012 · Cited by 693
Estimating Multiple Classification Latent Class Models
Maris, E. (1999) · Psychometrika · doi:10.1007/bf02294535 · Cited by 417
Fink, P., Toft, T., Hansen, M. S., Ørnbøl, E., & Olesen, F. (2007) · Psychosomatic Medicine · doi:10.1097/psy.0b013e31802e46eb · Cited by 314
Forms of social support and their relationships to mental health in HIV-positive persons
Reich, W. A., Lounsbury, D. W., Zaid-Muhammad, S., & Rapkin, B. D. (2010) · Psychology, Health & Medicine · doi:10.1080/13548501003623930 · Cited by 46
Bayesian Inference with Probability Matrix Decomposition Models
Meulders, M., De Boeck, P., Van Mechelen, I., Gelman, A., & Maris, E. (2001) · Journal of Educational and Behavioral Statistics · doi:10.3102/10769986026002153 · Cited by 15
Metadata
- Authors
- De Boeck, P., & Rosenberg, S.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1988-09
- Volume
- 53
- Issue
- 3
- Pages
- 361-381
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2037471227
- Cited by
- 252
- References
- 0
- FWCI
- 5.26
- Type
- journal article
- Language
- en
- Open access
- closed
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