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बेयसियन मल्टीपल कॉरेस्पॉन्डेंस एनालिसिस (BMCA)×Correspondence Analysis×
क्षेत्रसांख्यिकीसांख्यिकी
परिवारLatent structureLatent structure
उद्भव वर्ष2000s–2010s1984
प्रवर्तकExtension of MCA (Benzecri, 1973) with Bayesian inferenceJean-Paul Benzécri; Michael Greenacre
प्रकारBayesian dimension reduction for categorical dataExploratory multivariate technique for categorical data
मौलिक स्रोतGreenacre, M. & Blasius, J. (Eds.) (2006). Multiple Correspondence Analysis and Related Methods. Chapman & Hall/CRC. ISBN: 978-1584886280Greenacre, M. J. (1984). Theory and Applications of Correspondence Analysis. Academic Press. ISBN: 978-0-12-299050-2
उपनामBayesian MCA, BMCA, Bayesian multiway correspondence analysis, Bayesian categorical dimension reductionCA, Simple Correspondence Analysis, Reciprocal Averaging, Karşılıklı Uyum Analizi
संबंधित52
सारांशBayesian 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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