Design of Experiments for Agriculture and the Natural Sciences Second Edition

Design of Experiments for Agriculture and the Natural Sciences Second Edition

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ISBN 9781584885382
Cat# C5386
 

Features

  • Presents experimental design and analysis using one, two, and three factors
  • Includes tables in each chapter that assist with data manipulation and computation for every step in a design
  • Demonstrates the layout of experiments and reinforces concepts with illustrations and figures
  • Offers a Minitab® guide that can be used to assist with data analysis
  • Summary

    Written to meet the needs of both students and applied researchers, Design of Experiments for Agriculture and the Natural Sciences, Second Edition serves as an introductory guide to experimental design and analysis. Like the popular original, this thorough text provides an understanding of the logical underpinnings of design and analysis by selecting and discussing only those carefully chosen designs that offer the greatest utility. However, it improves on the first edition by adhering to a step-by-step process that greatly improves accessibility and understanding. Real problems from different areas of agriculture and science are presented throughout to show how practical issues of design and analysis are best handled.

    Completely revised to greatly enhance readability, this new edition includes:

    • A new chapter on covariance analysis to help readers reduce errors, while enhancing their ability to examine covariances among selected variables
    • Expanded material on multiple regression and variance analysis
    • Additional examples, problems, and case studies
    • A step-by-step Minitab® guide to help with data analysis

    Intended for those in the agriculture, environmental, and natural science fields as well as statisticians, this text requires no previous exposure to analysis of variance, although some familiarity with basic statistical fundamentals is assumed. In keeping with the book's practical orientation, numerous workable problems are presented throughout to reinforce the reader's ability to creatively apply the principles and concepts in any given situation.

    Table of Contents

    THE NATURE OF AGRICULTURAL RESEARCH
    Fundamental Concepts
    Research by Practitioners

    KEY ASSUMPTIONS OF EXPERIMENTAL DESIGNS
    Introduction
    Assumptions of the Analysis of Variance (ANOVA) and Their Violations
    Measures to Detect Failures of the Assumptions
    Data Transformation

    DESIGNS FOR REDUCING ERROR
    Introduction
    Approaches to Eliminating Uncontrolled Variations
    Error Elimination by Several Groupings of Units

    SINGLE-FACTOR EXPERIMENTAL DESIGNS
    Introduction
    Complete Block Designs
    Incomplete Block Designs

    TWO-FACTOR EXPERIMENTAL DESIGNS
    Factorial Experiments
    Main Effects and Interactions in a Two-Factor Experiment
    Interpretation of Interactions
    Factorials in Complete Block Designs
    Split-Plot or Nested Designs
    Strip-Plot Design

    THREE (OR MORE)-FACTOR EXPERIMENTAL DESIGNS
    Introduction
    Split-Split-Plot Design
    Strip-Split-Plot Design
    Factorial Experiments in Fractional Replication

    TREATMENT MEANS COMPARISONS
    Introduction
    Comparisons of Paired Means
    Comparisons of Grouped Means

    SAMPLE DESIGNS OVER TIME
    Terminology and Concepts
    Analysis of Experiments over Years
    Analysis of Experiments over Seasons

    REGRESSION AND CORRELATION ANALYSIS
    Bivariate Relationships
    Regression Analysis
    Correlational Analysis
    Curvilinear Regression Analysis
    Multiple Regression and Correlation

    COVARIANCE ANALYSIS
    Introduction
    Covariance Analysis Procedures
    Estimating Missing Data

    Appendix A: Chi-Square Distribution
    Appendix B: The Arc SineTransformation
    Appendix C: Selected Latin Squares
    Appendix D: Random Digits
    Appendix E: Points for the Distribution of F
    Appendix F: Basic Plans for Balanced and Partially Balanced Lattice Designs
    Appendix G: Fractional Factorial Design Plans
    Appendix H: Significant Studentized Ranges for 5% and 1% Level New Multiple Range Test
    Appendix I: Student t Distribution
    Appendix J: Coefficients and the Sum of Squares of Sets of Orthogonal Polynomials When There Are Equal Interval Treatments
    Appendix K: Minitab

    Index

    Editorial Reviews

    "… guides readers to think through their problems, to design experiments to answer their questions, to analyze the data accruing from those experiments, and to draw sensible inferences. … the exercises at the end of the chapter give readers the opportunity to test their understanding. … a handy companion for agronomists and environmental scientists who need to experiment with treatments they can control."
    -R. Webster, Journal of Environmental Quality, Vol. 36, Issue 1, January-February 2007

    "…One strength of the text is that there are many actual agricultural and biological examples and data analysis problems. … This text would be beneficial to those whose backgrounds are in agriculture and biology, those who would like to see basic computational details, and those who prefer the classical test statistic/critical value approach to hypothesis testing."
    -Biometrics, December 2006

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