Plan d'expériencesMathématiques et informatique 3 (GSI)

• Discover the contexts for implementing an experimental approach; • Appropriate the specific language to the experiment plans; • Build and conduct a plan of experiments, analyse and return the results in the case of screening studies still called "for the study of the effects of factors". • Discover the constraints of implementing orthogonal plans and motivate the construction of "measured plans"; • Build and conduct a non-orthogonal experiment plan for the study of the effects of factors still known as screening or screening plans

• Competence in basic linear algebra • Statistical culture, particularly concerning the quality of estimators, bias, variance ......

• By immersion in a case study:

• Identification of the need for a quantitative cause-effect diagram, i.e. mean effects of the factors
• critical of the One Factor At Time method and common discovery of orthogonality. Through spreadsheet practice, construction and implementation of factorial plans with graphic restitution for tradesmen By the practice of building orthogonal tables, building fractional plans from orthogonal tables, implementation and counting on spreadsheet. Study of the peculiarity of the plans of Plackett and Burman or Taguchi tables for factors with 2 modalities Starting from the declination of an orthogonal table offer, make the choice of the best suited to the problem posed. Discover the constraints of orthogonality and adjust the problem in a reasonable way to facilitate the implementation of an orthogonal plan Implementation of the Retschaffner plans for the study of couplings (order 1 interaction) with spreadsheet counting. By practice, discovery of quality criteria of a plan of experiments and algorithmic construction methods. By applying to a concrete case, implementation of a D-optimal spreadsheet plan with graphic restitution for tradesmen.

Final test for a one-hour case study 20

The Experience Plans: A pragmatic and illustrated approach: Design of Experiments: the French touch Louvet, François; Delplanque, Luc ISBN 10: 2952512604 ISBN 13: 9782952512602 Publisher: Experimental, 2005