<>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
Chapter 1 1 An Introduction to the Design of Experiments1 1.1Introduction1 1.2The Use of Designed Experiments
in Process Studies2 1.3Fundamental Aspects of Designed Experiments3 1.4Documentation Form for a Designed Experiment7
1.5Summary10 References10 Exercises10
Chapter 2Investigating a Single Factor: CompletelyRandomized Experiments11 2.1Introduction and Graphical Analysis
of Sample Data11 2.2The Analysis of Variance Approach: Partitioning the Total Variation in the Data15 2.2.1Analysis
of Variance for a Fixed Effects Model19 2.2.2Analysis of Variance for a Random Effects Model26 2.3Methods for Multiple
Comparisons27 2.3.1 Tukeyr's Method for Multiple Comparisons28 2.3.2 Scheffeacute;r's Method for Multiple Comparisons30
2.4Potential Consequences of Violating Analysis of Variance Assumptions32 2.5The Use ofP-values in Testing Statistical
Hypotheses34 2.6Summary35 References36 Exercises36 Appendix 2: Introduction to and Computer Instructions for Using
Minitab, Release 1543
Chapter 3 Investigating a Single Factor: Randomized Complete and Incomplete Block and Latin Square Designs46
3.1Introduction46 3.2Analysis of Variance for Blocked Data: Partitioning the Total Variation in the Data48 3.3Assumptions
and Validity of Analysis of Variance for Randomized Complete Block Designs55 3.4Tukey and Scheffeacute;r's Procedures
for a Randomized Complete Block Design57 3.5Balanced Incomplete Block Designs58 3.6Latin Square Designs62 3.6.1
Analysis of Variance for Latin Square Designs: Partitioning the Total Variation in the Data62
