Statistical Analysis of Designed Experiments, Third Edition

Front Cover
Springer Science & Business Media, Dec 24, 2009 - Mathematics - 615 pages
This book is the third revised and updated English edition of the German textbook \Versuchsplanung und Modellwahl" by Helge Toutenburg which was based on more than 15 years experience of lectures on the course \- sign of Experiments" at the University of Munich and interactions with the statisticians from industries and other areas of applied sciences and en- neering. This is a type of resource/ reference book which contains statistical methods used by researchers in applied areas. Because of the diverse ex- ples combined with software demonstrations it is also useful as a textbook in more advanced courses, The applications of design of experiments have seen a signi?cant growth in the last few decades in di?erent areas like industries, pharmaceutical sciences, medical sciences, engineering sciences etc. The second edition of this book received appreciation from academicians, teachers, students and applied statisticians. As a consequence, Springer-Verlag invited Helge Toutenburg to revise it and he invited Shalabh for the third edition of the book. In our experience with students, statisticians from industries and - searchers from other ?elds of experimental sciences, we realized the importance of several topics in the design of experiments which will - crease the utility of this book. Moreover we experienced that these topics are mostly explained only theoretically in most of the available books.
 

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Contents

1 Introduction
1
2 Comparison of Two Samples
21
3 The Linear Regression Model
45
4 SingleFactor Experiments with Fixed and Random Eects
112
5 More Restrictive Designs
159
6 Incomplete Block Designs
181
7 Multifactor Experiments
245
8 Models for CategoricalResponse Variables
329
10 CrossOver Design
441
11 Statistical Analysis of Incomplete Data
487
Appendix A Matrix Algebra
516
Appendix B Theoretical Proofs
555
Appendix C Distributions and Tables
591
References
598
Index
611
Copyright

9 Repeated Measures Model
394

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