Planning, Construction, and Statistical Analysis of Comparative Experiments ( Wiley Series in Probability and Statistics )

Publication series :Wiley Series in Probability and Statistics

Author: Francis G. Giesbrecht  

Publisher: John Wiley & Sons Inc‎

Publication year: 2011

E-ISBN: 9780471476481

P-ISBN(Hardback):  9780471213956

Subject: O212.6 Analysis and Testing

Language: ENG

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Description

A valuable guide to conducting experiments and analyzing data across a wide range of applications
Experimental design is an important component of the scientific method. This book provides guidance on planning efficient investigations. It compiles designs for a wide range of experimental situations not previously found in accessible form. Focusing on applications in the physical, engineering, biological, and social sciences, Planning, Construction, and Statistical Analysis of Comparative Experiments is a valuable guide to designing experiments and correctly analyzing and interpreting the results. The authors draw on their years of experience in the classroom and as statistical consultants to research programs on campus, in government, and in industry. The object is always to strike the right balance between mathematical necessities and practical constraints.

Serving both as a textbook for students of intermediate statistics and a hands-on reference for active researchers, the text includes:

  • A wide range of applications, including agricultural sciences, animal and biomedical sciences, and industrial engineering studies
  • General formulas for estimation and hypothesis testing, presented in a unified and simplified manner
  • Guidelines for evaluating the power and efficiency of designs that are not perfectly balanced
  • New developments in the design of fractional factorials with non-prime numbers of levels in mixed-level fractional factorials
  • Detailed coverage on the construction of plans and the relationship among categories of designs
  • Thorough coverage of balanced, lattice, cyclic, and alpha designs
  • Strategies for sequences of fractional factorials
  • Data sets and SAS® code on a companion web site

An ideal handbook for the investigator planning a research program, the text comes complete with detailed plans of experiments and alternative approaches for added flexibility.

Chapter

Contents

pp.:  7 – 15

Preface

pp.:  15 – 17

1. Introduction

pp.:  17 – 29

2. Completely Randomized Design

pp.:  29 – 44

3. Linear Models for Designed Experiments

pp.:  44 – 61

4 Testing Hypotheses and Determining Sample Size

pp.:  61 – 97

5. Methods of Reducing Unexplained Variation

pp.:  97 – 134

6 Latin Squares

pp.:  134 – 174

7 Split-Plot and Related Designs

pp.:  174 – 213

8 Incomplete Block Designs

pp.:  213 – 258

9 Repeated Treatments Designs

pp.:  258 – 288

10 Factorial Experiments: The 2N System

pp.:  288 – 304

11 Factorial Experiments: The 3N System

pp.:  304 – 315

12 Analysis of Experiments without Designed Error Terms

pp.:  315 – 326

13 Confounding Effects with Blocks

pp.:  326 – 356

14 Fractional Factorial Experiments

pp.:  356 – 414

15 Response Surface Designs

pp.:  414 – 445

16 Plackett–Burman Hadamard Plans

pp.:  445 – 467

17 General pN and Nonstandard Factorials

pp.:  467 – 500

18 Plans for Which Run Order Is Important

pp.:  500 – 524

19 Sequences of Fractions of Factorials

pp.:  524 – 556

20 Factorial Experiments with Quantitative Factors: Blocking and Fractions

pp.:  556 – 575

21 Supersaturated Plans

pp.:  575 – 585

22 Multistage Experiments

pp.:  585 – 614

23 Orthogonal Arrays and Related Structures

pp.:  614 – 647

24 Factorial Plans Derived via Orthogonal Arrays

pp.:  647 – 668

25 Experiments on the Computer

pp.:  668 – 677

References

pp.:  677 – 693

Index

pp.:  693 – 720

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