Author | Barton, Russell R. author |
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Title | Graphical Methods for the Design of Experiments [electronic resource] / by Russell R. Barton |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1999 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1398-7 |
Descript | X, 196 p. 9 illus. online resource |
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 òptimalโ 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