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Fundamentals of Statistical Experimental Design and Analysis

Book Description

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.

    Table of Contents

    1. Cover
    2. Title Page
    3. Preface
      1. References
      2. Statistical Software
      3. Sources for Student Exercises (in addition to the above references)
    4. Acknowledgments
    5. Credits
    6. 1 Introduction
      1. Motivation: Why Experiment?
      2. Steps in an Experimental Program
      3. Subject-Matter Passion
      4. Case Study
      5. Overview of Text
      6. Assignment
      7. References
    7. 2 Fundamentals of Experimental Design
      1. Introduction
      2. Experimental Structure
      3. Principles of Experimental Design
      4. Assignment
      5. References
    8. 3 Fundamentals of Statistical Data Analysis
      1. Introduction
      2. Boys’ Shoes Experiment
      3. Tomato Fertilizer Experiment
      4. A New Tomato Experiment
      5. Comparing Standard Deviations
      6. Discussion
      7. Appendix 3.A The Binomial Distribution
      8. Appendix 3.B Sampling from a Normal Distribution
      9. Appendix 3.C Statistical Underpinnings
      10. Assignment
      11. References
    9. 4 Completely Randomized Design
      1. Introduction
      2. Design Issues
      3. CRD: Single Qualitative Factor
      4. Analysis of Variance
      5. Testing the Assumptions of Equal Variances and Normality
      6. Confidence Intervals
      7. Inference
      8. Statistical Prediction Interval
      9. Example: Tomato Fertilizer Experiment Revisited
      10. Sizing a Completely Randomized Experiment
      11. CRD: Single Quantitative Factor
      12. Design Issues
      13. Enhanced Case Study: Power Window Gear Teeth
      14. Assignment
      15. References
    10. 5 Completely Randomized Design with Multiple Treatment Factors
      1. Introduction
      2. Design Issues
      3. Response Surface Designs
      4. Special Case: Two-Level Factorial Experiments
      5. Fractional Two-Level Factorials
      6. Extensions
      7. Assignment
      8. References
    11. 6 Randomized Complete Block Design
      1. Introduction
      2. Design Issues
      3. RBD with Single Replication
      4. Sizing a Randomized Block Experiment
      5. True Replication
      6. Extensions of the RBD
      7. Discussion
      8. Balanced Incomplete Block Designs
      9. Summary
      10. Assignment
      11. References
    12. 7 Other Experimental Designs
      1. Introduction
      2. Latin Square Design
      3. Split-Unit Designs
      4. Repeated Measures Designs
      5. Robust Designs
      6. Optimal Designs
      7. Assignment
      8. References
    13. Index
    14. End User License Agreement