Experimental Designs: Exercises and Solutions (eBook)

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2010 | 2007
VIII, 300 Seiten
Springer New York (Verlag)
978-0-387-33893-4 (ISBN)

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Experimental Designs: Exercises and Solutions - D. G. Kabe, Arjun K. Gupta
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This volume is a collection of exercises with their solutions in Design and Analysis of Experiments. At present there is not a single book which collects such exercises. Theseexercises have been collected by the authors during the last four decadesduring their student and teaching years. They should prove useful to graduate students and research workers in Statistics. In Chapter I, theoretical results that are needed for understanding the material in this book, are given. Chapter 2 lists the exercises which have been collected by the authors. The solutions of these problems are given in Chapter 3. Finally an index is provided for quick reference. Grateful appreciation for financial support for Dr. Kabe's research at St. Mary's University is extended to National Research Council of Canada and St. May's Uni­ versity Senate Research Committee. For his visit to the Department ofMathematics and Statistics the authors are thankful to the Bowling Green State University.

D. G. Kabe retired as Professor of Statistics from St. Mary's University in Canada, having taught statistics and guided Ph.D. students there. Earlier he has been a faculty member at the Dalhousie University, Northern Michigan University, and Wayne State University. He is the author/co-author of more than two hundred research papers and two books. His research interests include design and analysis of experiments, and multivariate statistical analysis.

Arjun K. Gupta is Distinguished University Professor and Professor of Mathematics and Statistics at Bowling Green State University, Bowling Green, Ohio. He has written more than 35 invited conferences, symposia, and journal papers and given more than 100 talks at national and international meetings during his 30-plus-year career. He is the co-author or co-editor of 12 books and has written more than 300 research articles. His main areas of interest include multivariate statistical analysis, distribution theory, and change point analysis. He is a Fellow of the American Statistical Association, the Institute of Statisticians, the Royal Statistical Society of England, and the Ohio Academy of Science, and an elected member of the International Statistical Institute.


This volume is a collection of exercises with their solutions in Design and Analysis of Experiments. At present there is not a single book which collects such exercises. Theseexercises have been collected by the authors during the last four decadesduring their student and teaching years. They should prove useful to graduate students and research workers in Statistics. In Chapter I, theoretical results that are needed for understanding the material in this book, are given. Chapter 2 lists the exercises which have been collected by the authors. The solutions of these problems are given in Chapter 3. Finally an index is provided for quick reference. Grateful appreciation for financial support for Dr. Kabe's research at St. Mary's University is extended to National Research Council of Canada and St. May's Uni- versity Senate Research Committee. For his visit to the Department ofMathematics and Statistics the authors are thankful to the Bowling Green State University.

D. G. Kabe retired as Professor of Statistics from St. Mary's University in Canada, having taught statistics and guided Ph.D. students there. Earlier he has been a faculty member at the Dalhousie University, Northern Michigan University, and Wayne State University. He is the author/co-author of more than two hundred research papers and two books. His research interests include design and analysis of experiments, and multivariate statistical analysis. Arjun K. Gupta is Distinguished University Professor and Professor of Mathematics and Statistics at Bowling Green State University, Bowling Green, Ohio. He has written more than 35 invited conferences, symposia, and journal papers and given more than 100 talks at national and international meetings during his 30-plus-year career. He is the co-author or co-editor of 12 books and has written more than 300 research articles. His main areas of interest include multivariate statistical analysis, distribution theory, and change point analysis. He is a Fellow of the American Statistical Association, the Institute of Statisticians, the Royal Statistical Society of England, and the Ohio Academy of Science, and an elected member of the International Statistical Institute.

Table of Contents 6
PREFACE 7
CHAPTER 1 THEORETICAL RESULTS 8
1.1 LINEAR ESTIMATION AND TESTING OF HYPOTHESIS 8
1.2 GENERAL PROPERTIES OF BLOCK DESIGNS 12
1.3 STANDARD DESIGNS 19
1.4 TWO-WAY DESIGNS 32
1.5 FACTORIAL DESIGNS 39
1.6 CONSTRUCTION OF DESIGNS 44
1.7 MISSING PLOT TECHNIQUE 58
1.8 WEIGHING DESIGNS 58
1.9 SOME USEFUL MATHEMATICAL RESULTS 61
CHAPTER 2 EXERCISES 65
STANDARD DESIGNS 73
CHAPTER 3 SOLUTIONS 96
BIBLIOGRAPHY 299
INDEX 300

Erscheint lt. Verlag 15.7.2010
Zusatzinfo VIII, 300 p. 3 illus.
Verlagsort New York
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Statistik
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Technik
Schlagworte Analysis • Design • Exercises • experimental designs • Solutions • Statistics • Time • Volume
ISBN-10 0-387-33893-4 / 0387338934
ISBN-13 978-0-387-33893-4 / 9780387338934
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