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The essentials on linear regression, ANOVA, general linear and linear mixed models for the chemist

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Govaerts, Bernadette [UCL] Francq, Bernard G. [UCL] Marion, Rebecca [UCL] Martin, Manon [UCL] Thiel, Michel [UCL]

This text provides a brief and accessible guide for implementing general, ANOVA and linear mixed models for the analysis of real world data from chemistry, industrial, bio or life-sciences experiments. The reader is introduced to the main concepts and vocabulary of the subject and to the main statistical methods available for formalizing, estimating and performing statistical inference on these models. Mathematical notations are not avoided but kept accessible, methods are illustrated on several detailed applications and the use of appropriate computer software is discussed.

Document type Document de travail (Working Paper)
Access type Accès libre
Publication date 2020
Language Anglais
Number of pages 42 pages
Collection Discussion Paper - 2020/12
Affiliation UCL - SSH/LIDAM/ISBA - Institut de Statistique, Biostatistique et Sciences Actuarielles
Keywords Analysis of Variance (ANOVA) ; Experimental design analysis ; General linear model (GLM) ; Least squares estimators ; Linear Mixed Model (LMM) ; Linear Regression ; Maximum Likelihood Estimation ; Random effect ; R Software ; SAS ; Statistical Modeling
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Bibliographic reference Govaerts, Bernadette ; Francq, Bernard G. ; Marion, Rebecca ; Martin, Manon ; Thiel, Michel. The essentials on linear regression, ANOVA, general linear and linear mixed models for the chemist. Discussion Paper ; 2020/12 (2020) 42 pages
Permanent URL http://hdl.handle.net/2078.1/230335