Fundamentals of Statistical Experimental Design and Analysis

Professionals in all areas - business; government; the physical, life, and social sciences; engineering; medicine, etc. - benefit from using statistical experimental design to better understand their worlds and then use that understanding to improve the products, processes, and programs they are responsible for. This book aims to provide the practitioners of tomorrow with a memorable, easy to read, engaging guide to statistics and experimental design.
This book uses examples, drawn from a variety of established texts, and embeds them in a business or scientific context, seasoned with a dash of humor, to emphasize the issues and ideas that led to the experiment and the what-do-we-do-next? steps after the experiment. Graphical data displays are emphasized as means of discovery and communication and formulas are minimized, with a focus on interpreting the results that software produce. The role of subject-matter knowledge, and passion, is also illustrated. The examples do not require specialized knowledge, and the lessons they contain are transferrable to other contexts.
Fundamentals of Statistical Experimental Design and Analysis introduces the basic elements of an experimental design, and the basic concepts underlying statistical analyses. Subsequent chapters address the following families of experimental designs:
* Completely Randomized designs, with single or multiple treatment factors, quantitative or qualitative
* Randomized Block designs
* Latin Square designs
* Split-Unit designs
* Repeated Measures designs
* Robust designs
* Optimal designs
Written in an accessible, student-friendly style, this book is suitable for a general audience and particularly for those professionals seeking to improve and apply their understanding of experimental design.

List of contents

Preface xiii
 
Acknowledgments xix
 
Credits xxi
 
1 Introduction 1
 
Motivation: Why Experiment? 1
 
Steps in an Experimental Program 2
 
Planning and analysis 2
 
Communication 3
 
Subject?]Matter Passion 4
 
Case Study 5
 
Overview of Text 9
 
Assignment 10
 
References 10
 
2 Fundamentals of Experimental Design 11
 
Introduction 11
 
Experimental Structure 13
 
Experimental units 13
 
Blocks and block structures 15
 
Treatments and treatment structures 17
 
Response measurement 19
 
Principles of Experimental Design 20
 
Replication 21
 
Randomization 22
 
Blocking 24
 
Control 26
 
Assignment 27
 
References 27
 
3 Fundamentals of Statistical Data Analysis 29
 
Introduction 29
 
Boys' Shoes Experiment 30
 
Experimental design 30
 
Graphical displays 31
 
Significance testing 34
 
Probability and probability distributions 34
 
Sign test 36
 
Misinterpretation of P?]values 38
 
Randomization test 39
 
Normal distribution theory t?]test 40
 
Summary and discussion: Significance tests 46
 
Economic analysis: The bigger picture 48
 
Statistical confidence intervals 50
 
Discussion 53
 
Why calculate statistical confidence limits? 54
 
Sample size determination 54
 
Tomato Fertilizer Experiment 56
 
Experimental design 56
 
Analysis 1: Plot the data 56
 
The value of randomization 58
 
The importance of ancillary data 59
 
A New Tomato Experiment 59
 
Analysis 1: Plot the data 59
 
Significance tests 62
 
Rank sum test 63
 
Randomization test 64
 
Normal theory t?]test 66
 
Confidence intervals 69
 
Determining the size of an experiment 71
 
Comparing Standard Deviations 77
 
Discussion 79
 
Appendix 3.A The Binomial Distribution 79
 
Appendix 3.B Sampling from a Normal Distribution 81
 
Appendix 3.C Statistical Underpinnings 85
 
Single sample 86
 
Two samples 87
 
Assignment 89
 
References 89
 
4 Completely Randomized Design 91
 
Introduction 91
 
Design Issues 92
 
CRD: Single Qualitative Factor 92
 
Example: Market research 92
 
Analysis of Variance 95
 
Within?]group variation 96
 
Among?]groups variation 97
 
The F?]test 98
 
Analysis of variance 99
 
Discussion 100
 
Results 101
 
Testing the Assumptions of Equal Variances and Normality 103
 
Confidence Intervals 103
 
Inference 105
 
Statistical Prediction Interval 105
 
Example: Tomato Fertilizer Experiment Revisited 106
 
Sizing a Completely Randomized Experiment 107
 
CRD: Single Quantitative Factor 107
 
Example: Growth rate of rats 108
 
Graphical display 109
 
Curve fit 109
 
Analysis of variance 111
 
Design Issues 113
 
Enhanced Case Study: Power Window Gear Teeth 114
 
Graphical display 117
 
ANOVA 119
 
Discussion 120
 
Assignment 120
 
References 121
 
5 Completely Randomized Design with Multiple Treatment Factors 123
 
Introduction 123
 
Design Issues 124
 
Example 1 (Two qualitative factors): Poisons and antidotes 124
 
Analysis 1: Plot the data 126
 
Eyeball analysi

Summary

Professionals in all areas business; government; the physical, life, and social sciences; engineering; medicine, etc. benefit from using statistical experimental design to better understand their worlds and then use that understanding to improve the products, processes, and programs they are responsible for.

Product details

• Authors: Robert G Easterling, Robert G. Easterling, Easterling Robert G.
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Hardback
• Released: 04.09.2015
• EAN: 9781118954638
• ISBN: 978-1-118-95463-8
• No. of pages: 272
• Subjects: Natural sciences, medicine, IT, technology > IT, data processing > Application software; Statistik, Statistics, VERSUCHSPLANUNG, Statistik in den Ingenieurwissenschaften, Engineering Statistics, Experimental Design, Statistics - Text & Reference, Statistik / Lehr- u. Nachschlagewerke