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9780136158639

Introduction to the Design & Analysis of Experiments

by ;
  • ISBN13:

    9780136158639

  • ISBN10:

    0136158633

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2008-02-24
  • Publisher: Pearson

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Supplemental Materials

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Summary

<>Key Message:Introduction to the Design & Analysis of Experimentsintroduces readers to the design and analysis of experiments. It is ideal for a one-semester, upper-level undergraduate course for majors in statistics and other mathematical sciences, natural sciences, and engineering. It may also serve appropriate graduate courses in disciplines such as business, health sciences, and social sciences. This book assumes that the reader has completed a two-semester sequence in the application of probability and statistical inference. Key Topics: An Introduction to the Design of Experiments; Investigating a Single Factor: Completely Randomized Experiments; Investigating a Single Factor: Randomized Complete and Incomplete Block and Latin Square Designs; Factorial Experiments: Completely Randomized Designs; Factorial Experiments: Randomized Block and Latin Square Designs; Nested Factorial Experiments and Repeated Measures Designs;2fand3fFactorial Experiments; Confounding in2fand3fFactorial Experiments; Fractional Factorial Experiments0; Regression Analysis: The General Linear Model; Response Surface Designs for First and Second-Order Models Market: For all readers interested in experimental design.

Table of Contents

An Introduction to the Design of Experiments
Introduction
The Use of Designed Experiments in Process Studies
Fundamental Aspects of Designed Experiments
Documentation Form for a Designed Experiment
Summary
References
Exercises
Investigating a Single Factor: Completely Randomized Experiments
Introduction and Graphical Analysis of Sample Data
The Analysis of Variance Approach: Partitioning the Total Variation in the Data
Analysis of Variance for a Fixed Effects Model
Analysis of Variance for a Random Effects Model
Methods for Multiple Comparisons
Tukey's Method for Multiple Comparisons
Scheffeacute;'s Method for Multiple Comparisons
Potential Consequences of Violating Analysis of Variance Assumptions
The Use of P-values in Testing Statistical Hypotheses
Summary
References
Exercises
Introduction to and Computer Instructions for Using Minitab, Release 15
Investigating a Single Factor: Randomized Complete and Incomplete Block and Latin Square Designs
Introduction
Analysis of Variance for Blocked Data: Partitioning the Total Variation in the Data
Assumptions and Validity of Analysis of Variance for Randomized Complete Block Designs
Tukey and Scheffeacute;'s Procedures for a Randomized Complete Block Design
Balanced Incomplete Block Designs
Latin Square Designs
Analysis of Variance for Latin Square Designs: Partitioning the Total Variation in the Data
Assumptions and Validity of the Analysis of Variance for Latin Square Designs
Summary
References
Exercises
Minitab Instructions
Factorial Experiments: Completely Randomized Designs
Introduction
Inference Objectives in Factorial Experiments: Main Effects and Interaction Effects
Complete Randomization in Factorial Experiments
Graphical Analysis
Analysis of Variance Procedure: Partitioning the Total Sum of Squares
No Replication in Factorial Experiments
Fixed, Random, and Mixed Models: Expected Mean Squares
Table of Contents provided by Publisher. All Rights Reserved.

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