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Statistical Model Building and Design of Experiments

Posted 05 May, 2008 in Courses

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Contributor(s)	Gary Blau Purdue University
Abstract	Topics covered in this module include Quantification of Uncertainty in Experimental data and impact on model analysis using Probability Theory Review of Statistics for building Statistical Models (Multilinear Regression analysis) Design of Experiments for Building Statistical models Single factor Experiments Multifactor Experiments Factorial Experimentation Fractional Factorial Experimentation Response Surface Modeling Process Optimization
Cite this work	If you reference this work in a publication, please cite as follows: Blau, Gary (2008), "Statistical Model Building and Design of Experiments," http://pharmahub.org/resources/145. BibTex \| EndNote
Tags	statistical model building

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Lecture Number/Topic	Breeze	Video	Lecture Notes (PDF)	Supplemental Material	Suggested Exercises
Introduction to Model Building Course Background: Initial ideas developed for Pharmaceutical Scientists at the Dow Chemical Plant in Brindisi, Italy (1975) Subsequently evolved into a global course on Process Optimization …	View		Notes
Probability Theory Review For any real system or phenomenon, there will be a certain amount of variability associated with data generated by the system. Probability is the language used to characterize and interpret the …			Notes
Review of Statistics This lecture covers the following topics Difference between statistics and probability Statistical Inference Samples and populations Intro to JMP software package Central limit theorem …			Notes		Example 1 Instructions Example 1 JMP Data Example 2 Instructions Example 2 JMP Data Example 3 Instructions Example 3 and 4 JMP Data Example 4 Instructions Example 5 Instructions Example 5 JMP Data Example 6 Instructions Example 6 JMP Data Example 7 Instructions Example 7 JMP Data
Single Factor Experiments The purpose of single factor experiments is to: Quantify relationship between a single factor and a single measured or response variable Compare the relative effectiveness of two or more …			Notes		Example 1 Instructions Example 1 JMP Data Example 2 JMP Data Example 3 JMP Data Example 4 JMP Data Example 5 JMP Data
Factorial Experimentation A full factorial experiment is a set of experimental runs such that all levels of a given factor are combined with all levels of every other factor.			Notes		Example 1 Instructions Example 1 Data
Screening The objectives of this lecture are to: Show how to screen or select the most important main effects with fewer experiments. Show how to construct fractional factorial experiments by sacrificing …			Notes		Example 1 JMP Data Example 2 JMP Data Example 3 JMP Data
Response Surface Methodology This lecture describes response surface models: Models are simple polynomials Include terms for interaction and curvature Coefficients are usually established by regression analysis with a …			Notes		Example 1 Instructions Example 1 JMP Data Example 2 JMP Data
Problems for Statistical Model Building Scenarios, problem statements, JMP data files, and solutions for the course on Statistical Model Building and Design of Experiments. Scenario 1 is based on a batch reactor system for small molecule …				Scenarios	Problem Statement Problem 1 JMP Data Problem 2 JMP Data Problem 3 JMP Data Problem 4 JMP Data Problem 5 JMP Data Problem 7 JMP Data Problem 8 JMP Data Problem 9 JMP Data Problem 10 JMP Data Problem 11 JMP Data Problem Solution