Methods for Experimental Design book cover

Methods for Experimental Design

Principles and Applications for Physicists and Chemists

A method for organizing and conducting scientific experiments is described in this volume which enables experimenters to reduce the number of trials run, while retaining all the parameters that may influence the result. The choice of ideal experiments is based on mathematical concepts, but the author adopts a practical approach and uses theory only when necessary. Written for experimenters by an experimenter, it is an introduction to the philosophy of scientific investigation.

Researchers with limited time and resources at their disposal will find this text a valuable guide for solving specific problems efficiently. The presentation makes extensive use of examples, and the approach and methods are graphical rather than numerical. All calculations can be performed on a personal computer; readers are assumed to have no previous knowledge of the subject. The presentation is such that the beginner may acquire a thorough understanding of the basic concepts. However, there is also sufficient material to challenge the advanced student. The book is, therefore, suitable for both first and advanced courses. The many examples can also be used in detail for self-study or as a reference.

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Published: May 1993

Imprint: Elsevier

ISBN: 978-0-444-89529-5

Contents

  • 1. Research strategy: Definition and objectives. 2. Two-level complete factorial designs: 22. 3. Two-level complete factorial designs: 2k. 4. Estimating error and significant effects. 5. The concept of optimal design. 6. Two-level fractional factorial designs: 2k-p. The alias theory. 7. Two-level fractional factorial designs: 2k-p. Examples. 8. Types of matrices. 9. Trial sequences. Randomization. 10. Trials sequence. Blocking. 11. Mathematical modelling of factorial 2k designs. 12. Choosing complementary trials. 13. Beyond influencing factors. 14. Practical method of calculation using a quality example. 14(continued). Detailed calculations for the truck suspension springs example. 15. Experimental designs and computer simulations. 16. Practical experimental designs. 17. Overview and suggestions. Appendix 1. Matrices and matrix calculations. Appendix 2. Statistics useful in experimental designs. Appendix 3. Order of trials that leaves the effects of the main factors uninfluenced by linear drift: Application of a 23 design. Bibliography. Author index. Example index. Subject index.

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