Graphical Methods for the Design of Experiments
Graphical methods have played an important role in the statistical analysis of experimental data, but have not been used as extensively for experiment design, at least as it is presented in most design of experiments texts. Yet graphical methods are particularly attractive for the design of experime...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1999, 1999
|
| Edition: | 1st ed. 1999 |
| Series: | Lecture Notes in Statistics
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Introduction
- The role of experiment design in statistical methodology
- The five main steps in the design of an experiment
- Summary of topics
- The videodisk pressing example
- Study questions
- 2 Planning for a Designed Experiment
- Goal hierarchy plots
- Individual experiment goals and form of the statistical model
- Experiment goals: other aspects
- Key terms in experiment design
- Identifying and classifying variables
- Choosing a model: a priori main effect and interaction plots
- Summary
- Study questions
- 3 Design-Plots for Factorial and Fractional-Factorial Designs
- Factorial designs
- Graphical presentation of factorial designs
- Factorial designs and corresponding regression models
- Graphical projections and the notion of effect sparsity
- Confounding in fractional-factorial designs
- Geometric patterns of confounding relations
- Design-plots for other designs
- Study questions
- 4 Designing Experiments Graphically
- Constructing two-level fractional-factorial designs
- Designing fractional-factorial experiments with three or more levels
- Videodisk pressing example
- Graphical design of mixture experiments
- Graphical designs for blocking and nested effects
- Confounding graphs
- Experiment designs for robust design
- Designing pilot experiments
- Study questions
- 5 Assessing Experiment Designs
- A videodisk experiment design
- Numerical measures for design assessment
- Design assessment and `optimal’ designs
- Graphical methods for assessing confounding in regular 2k-pdesigns
- Prediction error plots
- Designs for a manufacturing simulation study
- Shaded-block matrix plots
- Parallel coordinate plots
- A model with dependent random perturbations
- Study questions
- 6 Presenting Results Graphically
- Traditional graphical displays of experimentalresults
- Response-scaled design-plots
- Constructing a response-scaled design-plot
- Interpreting response-scaled design-plots
- Response-scaled design-plots and robust design
- Model-free interpretation of experimental results
- Study questions