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Unfolding Model×Bradley-Terry Model×Correspondence Analysis×
VakgebiedStatistiekBesluitvormingStatistiek
FamilieLatent structureRegression modelLatent structure
Jaar van ontstaan200519521984
GrondleggerClyde Coombs; Borg & GroenenRalph Bradley & Milton TerryJean-Paul Benzécri; Michael Greenacre
TypePreference scaling via ideal-point representationProbabilistic paired comparison modelExploratory multivariate technique for categorical data
Oorspronkelijke bronBorg, I., & Groenen, P. J. F. (2005). Modern Multidimensional Scaling: Theory and Applications (2nd ed.). Springer. ISBN: 978-0-387-25150-9Bradley, R. A., & Terry, M. E. (1952). Rank analysis of incomplete block designs: I. The method of paired comparisons. Biometrika, 39(3/4), 324–345. DOI ↗Greenacre, M. J. (1984). Theory and Applications of Correspondence Analysis. Academic Press. ISBN: 978-0-12-299050-2
AliassenIdeal Point Model, Preferential Choice Scaling, Coombs Unfolding, Katlanma ModeliBT Model, Bradley-Terry-Luce Model, Paired Comparison Model, İkili Karşılaştırma ModeliCA, Simple Correspondence Analysis, Reciprocal Averaging, Karşılıklı Uyum Analizi
Verwant232
SamenvattingThe Unfolding Model is a geometric approach to preference analysis that represents both individuals and choice objects (stimuli) as points in a shared low-dimensional space. Originating with Clyde Coombs's foundational 1950 work on preferential choice and rigorously systematized by Borg and Groenen (2005), the model assumes each person prefers the stimulus closest to their personal ideal point, thereby 'unfolding' rank-order preference data into a joint spatial map.The Bradley-Terry model is a probabilistic model for paired comparisons that assigns a latent strength parameter to each item and predicts the probability that one item beats another in a head-to-head contest. Introduced by Ralph A. Bradley and Milton E. Terry in 1952, it provides a principled statistical framework for ranking items from pairwise preference data, including incomplete comparison designs where not every pair is directly observed.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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ScholarGateMethoden vergelijken: Unfolding Model · Bradley-Terry Model · Correspondence Analysis. Geraadpleegd op 2026-06-18 via https://scholargate.app/nl/compare