Barton Graphical Methods for the Design of Experiments

1999
ISBN: 978-1-4612-1398-7
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 143, 196 Seiten, eBook

Reihe: Lecture Notes in Statistics

Most texts on the design of experiments focus on the analysis of experimental data, not on the creation of the design. Graphical Methods for Experimental Design presents a strategic view of the planning of experiments, and provides a number of graphical tools that are useful for justifying the effort required for experimentation, identifying variables and candidate statistical models, selecting the set of run conditions and for assessing the quality of the design. In addition, the graphical framework for creating fractional factorial designs is used to present experimental results in a way that is easier to understand than a set of model coefficients. The text merely assumes a basic knowledge of statistics and matrices, while many of the graphical techniques are accessible without any knowledge of statistical models, requiring only some familiarity with the plotting of functions and with the concept of projection from elementary mechanical drawing.

Zielgruppe

Research

Autoren/Hrsg.

Barton, Russell R.

Inhaltsverzeichnis

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 experimental results.- 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.