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Statistique de rangs et Analyse Statistique Implicative

Abstract : This communication explores the benefit of one data analysis method implicative analysis such as Gras defined it to study ranks concordance-discordance accorded by judges to things. This meaning is the same as in Friedman’s or Kendall’s works. Then we compare one analysis of judges’ preferences through ranks to the propensity analysis between modal variables built by Lagrange. To achieve it, we don’t consider the a priori independence hypothesis between variables. Nevertheless, we give a quality measure to “theorem”: “if an A thing is ranked by judges, then generally a B thing is ranked in a better way by the same judges” and we represent by graph relations of preferences for the whole ranked objects. We limit this study to the two cases of complete ranking and incomplete ranking, without ex æquo between q things by k judges.
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Contributor : Jean-Claude Regnier <>
Submitted on : Tuesday, October 17, 2017 - 11:31:16 AM
Last modification on : Tuesday, January 5, 2021 - 4:26:09 PM


  • HAL Id : hal-01617901, version 1


Jean-Claude Regnier, Régis Gras. Statistique de rangs et Analyse Statistique Implicative . Régis Gras, Jean-Claude Régnier, Dominique Lahanier-Reuter, Claudia Marinica, Fabrice Guillet. L'analyse statistique implicative. Des Sciences dures aux Sciences Humaines et Sociales, Cépaduès Editions, pp.225-242, 2017, 978.2.36493.577.8. ⟨hal-01617901⟩



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