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Bayesian Multiple Correspondence Analysis (BMCA)×Latent Class Analysis (LCA)×
ValdkondStatistikaStatistika
PerekondLatent structureLatent structure
Tekkeaasta2000s–2010s1950s–1968
LoojaExtension of MCA (Benzecri, 1973) with Bayesian inferencePaul F. Lazarsfeld
TüüpBayesian dimension reduction for categorical dataLatent variable / person-centered classification
AlgallikasGreenacre, M. & Blasius, J. (Eds.) (2006). Multiple Correspondence Analysis and Related Methods. Chapman & Hall/CRC. ISBN: 978-1584886280Goodman, L. A. (1974). Exploratory latent structure analysis using both identifiable and unidentifiable models. Biometrika, 61(2), 215–231. DOI ↗
RööpnimetusedBayesian MCA, BMCA, Bayesian multiway correspondence analysis, Bayesian categorical dimension reductionLCA, latent class model, latent categorical analysis, finite mixture of multinomials
Seotud56
KokkuvõteBayesian 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.Latent class analysis identifies unobserved subgroups — latent classes — within a population by finding patterns of responses across a set of categorical observed indicators. It is the categorical-variable counterpart of cluster analysis, but grounded in an explicit probabilistic model, and is widely used in social, health, and behavioral sciences to discover typologies in survey or diagnostic data.
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ScholarGateVõrdle meetodeid: Bayesian Multiple Correspondence Analysis · Latent Class Analysis. Loetud 2026-06-17 aadressilt https://scholargate.app/et/compare