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مقیاس‌گذاری ترستون×مدل بردلی-تری×تحلیل تناظر (Correspondence Analysis - CA)×
حوزهآمارتصمیم‌گیریآمار
خانوادهLatent structureRegression modelLatent structure
سال پیدایش192719521984
پدیدآورLouis Leon ThurstoneRalph Bradley & Milton TerryJean-Paul Benzécri; Michael Greenacre
نوعPsychological measurement and attitude scaling modelProbabilistic paired comparison modelExploratory multivariate technique for categorical data
منبع بنیادینThurstone, L. L. (1927). A law of comparative judgment. Psychological Review, 34(4), 273–286. DOI ↗Bradley, 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
نام‌های دیگرLaw of Comparative Judgment, Thurstone's Method of Equal-Appearing Intervals, Case V Scaling, Thurstone ÖlçeklemeBT Model, Bradley-Terry-Luce Model, Paired Comparison Model, İkili Karşılaştırma ModeliCA, Simple Correspondence Analysis, Reciprocal Averaging, Karşılıklı Uyum Analizi
مرتبط232
خلاصهThurstone Scaling, formally the Law of Comparative Judgment, is a psychometric model introduced by Louis Leon Thurstone in 1927 for deriving interval-level scale values from pairwise comparison data. By assuming that each stimulus evokes a normally distributed discriminal process on a psychological continuum, the method converts proportions of preference judgments into z-scores and recovers the latent positions of stimuli, enabling rigorous attitude and preference measurement.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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ScholarGateمقایسهٔ روش‌ها: Thurstone Scaling · Bradley-Terry Model · Correspondence Analysis. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare