Design of experiments

A design of experimentsis an ordered sequence of tests in an experiment whose purpose is to test the validity of a hypothesis by reproducing a phenomenon and varying one or more parameters. Each test produces data, and all the data produced during an experiment must be analyzed using rigorous methods to validate or invalidate the hypothesis. This experimental approach allows new knowledge to be acquired by confirming a model in a cost-effective manner (using as few tests as possible, for example).

Starting with a simple problem, the module develops methodological and statistical tools that enable increasingly complex hypotheses to be tested in the most optimal way possible. These methodologies are implemented using the statistical language R.

Hourly volumes:

            CM: 3 p.m.

            Practical work: 5 hours

At the end of this module, students should be able to choose a design of experiments plan that is appropriate for their problem and analyze the results in a comprehensive, rigorous, and intellectually controlled manner.

HAC712X: Chemometrics, statistical data analysis, design of experiments 

CC-I

Introduction to the issue of experimental designs: Hotelling's weighing problem. Review of the concepts of response surface, experimental error, modeling, confidence interval, and hypothesis testing.

Complete experimental designs: overview.^2p factorial designs, p = 1, 2, … Multi-level factorial designs:_{K1 * K2 * …* Kp}. Concepts of interaction and synergy. Statistical analysis: analysis of variance, validation of assumptions.  

Fractional experimental designs: presentations, motivations, limitations. 2-factor factorial designs^p-k, complete block, incomplete block, Latin square, Greco-Latin square, and Youde designs. Statistical analysis: analysis of variance, validation of assumptions.

Response surface: first- and second-degree models. Estimation and inference. Star designs, D-optimality, and D-optimal designs. Mixture designs.

Administrative contact(s):

Master's Program in Chemistry Secretariat

https://master-chimie.edu.umontpellier.fr/