Statistical Implicative Analysis : Theory and Applications

Methodology and concepts for SIA.- An overview of the Statistical Implicative Analysis (SIA) development.- CHIC: Cohesive Hierarchical Implicative Classification.- Assessing the interestingness of temporal rules with Sequential Implication Intensity.- Application to concept learning in education, teaching, and didactics.- Students Algebraic Knowledge Modelling: Algebraic Context as Cause of Students Actions.- The graphic illusion of high school students.- Implicative networks of students representations of Physical Activities.- A comparison between the hierarchical clustering of variables, implicative statistical analysis and confirmatory factor analysis.- Implications between learning outcomes in elementary bayesian inference.- Personal Geometrical Working Space: a Didactic and Statistical Approach.- A methodological answer in various application frameworks.- Statistical Implicative Analysis of DNA microarrays.- On the use of Implication Intensity for matching ontologies and textual taxonomies.- Modelling by Statistic in Research of Mathematics Education.- Didactics of Mathematics and Implicative Statistical Analysis.- Using the Statistical Implicative Analysis for Elaborating Behavioral Referentials.- Fictitious Pupils and Implicative Analysis: a Case Study.- Identifying didactic and sociocultural obstacles to conceptualization through Statistical Implicative Analysis.- Extensions to rule interestingness in data mining.- Pitfalls for Categorizations of Objective Interestingness Measures for Rule Discovery.- Inducing and Evaluating Classification Trees with Statistical Implicative Criteria.- On the behavior of the generalizations of the intensity of implication: A data-driven comparative study.- The TVpercent principle for the counterexamples statistic.- User-System Interaction for Redundancy-Free Knowledge Discovery in Data.- Fuzzy Knowledge Discovery Based on Statistical Implication Indexes.