Tableaux croisés et diagrammes en mosaique,pour visualiser les probabilités marginales et conditionnelles

Abstract

Cross-Tabulations and Mosaic Diagrams For Visualizing Marginal and Conditional Probabilities: This article is part of a campaign to encourage awareness to various aspect of statistics. Visualizing information with graphie methods, when based on New Information and Communication Technologies (NICT), is a promising means to improving the comprehension of abstract concepts in statistics. We address the question of the visual representation of cross-tabulations by mosaic diagram. In the framework of statistical graphics, we present an example of double entry cross-tabulations which permits us to introduce the vocabulary and the different statistical elements -- sample size, marginal probabilities, conditional probabilities -- found in cross-tabulations. We show the information provided by visual representations as bar diagrams, spine plots and mosaic diagrams. We close with a discussion of ongoing developments and software. The références provide links to articles and software accessible by Internet.