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| Bayesiansk multipel korrespondensanalys (BMCA)× | Korrespondensanalys× | |
|---|---|---|
| Ämnesområde | Statistik | Statistik |
| Familj | Latent structure | Latent structure |
| Ursprungsår≠ | 2000s–2010s | 1984 |
| Upphovsperson≠ | Extension of MCA (Benzecri, 1973) with Bayesian inference | Jean-Paul Benzécri; Michael Greenacre |
| Typ≠ | Bayesian dimension reduction for categorical data | Exploratory multivariate technique for categorical data |
| Ursprungskälla≠ | Greenacre, M. & Blasius, J. (Eds.) (2006). Multiple Correspondence Analysis and Related Methods. Chapman & Hall/CRC. ISBN: 978-1584886280 | Greenacre, M. J. (1984). Theory and Applications of Correspondence Analysis. Academic Press. ISBN: 978-0-12-299050-2 |
| Alias | Bayesian MCA, BMCA, Bayesian multiway correspondence analysis, Bayesian categorical dimension reduction | CA, Simple Correspondence Analysis, Reciprocal Averaging, Karşılıklı Uyum Analizi |
| Närliggande≠ | 5 | 2 |
| 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. | Correspondence Analysis (CA) is an exploratory multivariate technique for visualizing the association structure of a two-way contingency table. Developed systematically by Jean-Paul Benzécri in France during the 1960s–1970s and brought to an English-language audience by Michael Greenacre in 1984, CA decomposes the chi-square statistic of a cross-tabulation to produce a low-dimensional joint display — called a biplot — in which rows and columns are represented as points whose proximities reflect their associations. |
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