A.S.I. 8 - 8th International Meeting Statistical Implicative Analysis
Institut supérieur des études technologiques de Radès - Tunisia, November 11th-14th 2015
Topics & Challenges 2015

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  • Fundamental Concepts of ASI: statistical modelling, types of variables, and additional key variables

  • New Advances in progress, stability indices, extension to new types of variables, rules of exception, duality (space of subject- space of rules), metrical structure and topology of space led by their contribution to the subjects or their typicality, vector analysis, etc.)

  • Comparison of critical processes, models, representations and the results of the ASI with other methods of data analysis (Galois lattices, Bayesian networks, trees induction, factorial analysis, etc.)

  • Practice with the software CHIC, current and expected developments

  • Applications processed by ASI and comparison with other methods, in the areas of education, science education, psychology, sociology, economics, art history, biology, medicine, archaeology, etc.

  • graphical presentation of results and numerical applications, aid the interpretation of these results, respective roles and critics of the types of variables, the main variables and supplementary choices

  • Specificity of training with the ASI: use of software CHIC, interpretation of graphical representations (implicative graph, tree hierarchy cohesive)

  • Issues of teaching in ASI

Challenge 1:
  • Associate to each couple of variables VxV the vector q, the standard score of the implication index. Study of the gradient of dq.
Challenge 2:
  • Continuous variables following a uniform distribution or not. Expected examples.
Challenge 3:
  • Notion of " attractive " variable, vertex of implicative cone. Semantic usage. Expected results.
Challenge 4:
  • Relationship between implication intensity and confidence (conditional probability). Expected results.
Challenge 5:
  • Exploit the set-metaphor to define an intensity of inclusion taking into account the direct and contrapositive involvement.
Challenge 6:
  • As part of the Genesis and Development of Statistical Implicative Analysis Conference; intuitive retrospective published in the proceedings of ASI 7, a study of the hierarchical organization of conceptual cognition (eg. schemes, procedures, design, method, ...) would deserve to be made by psychologist or educationalist based nested classes of a cohesitive hierarchy. Expected examples.
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