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| Bayesiansk multipel korrespondensanalys (BMCA)× | Bayesiansk klusteranalys× | |
|---|---|---|
| Ämnesområde | Statistik | Statistik |
| Familj | Latent structure | Latent structure |
| Ursprungsår≠ | 2000s–2010s | 1998–2002 |
| Upphovsperson≠ | Extension of MCA (Benzecri, 1973) with Bayesian inference | Fraley & Raftery (model-based); Dirichlet process formulations by Ferguson (1973) and Antoniak (1974) |
| Typ≠ | Bayesian dimension reduction for categorical data | Probabilistic / model-based clustering |
| Ursprungskälla≠ | Greenacre, M. & Blasius, J. (Eds.) (2006). Multiple Correspondence Analysis and Related Methods. Chapman & Hall/CRC. ISBN: 978-1584886280 | Fraley, C. & Raftery, A. E. (2002). Model-based clustering, discriminant analysis, and density estimation. Journal of the American Statistical Association, 97(458), 611–631. DOI ↗ |
| Alias | Bayesian MCA, BMCA, Bayesian multiway correspondence analysis, Bayesian categorical dimension reduction | BCA, Bayesian clustering, probabilistic cluster analysis, Bayesian model-based clustering |
| Närliggande≠ | 5 | 6 |
| Sammanfattning≠ | Bayesian Multiple Correspondence Analysis extends classical MCA by embedding the geometric decomposition of categorical data tables within a Bayesian probabilistic framework, enabling principled uncertainty quantification around category coordinates, dimension selection via marginal likelihood, and incorporation of prior knowledge about variable relationships. | Bayesian cluster analysis assigns observations to latent groups by combining a probabilistic model of within-cluster data with prior beliefs about cluster parameters and the number of clusters. It yields posterior probabilities of cluster membership and principled uncertainty estimates, making it more transparent than classical distance-based clustering algorithms. |
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