Design of Experiments for Agriculture and the Natural Sciences / Edition 2

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Overview

Book Description Useful as a text or reference, this book presents various experimental designs, reasons for selecting each design, and statistical analysis. This second edition features a new chapter on covariance analysis to help readers understand how to reduce the error associated with an experiment and examine covariances among selected variables. It includes expanded material on multiple regression analysis, ANOVA, and ANCOVA. It also provides additional examples, problems, case studies, a solutions manual, and a Minitab guide at the end of several chapters to assist in data analysis. This text remains an ideal introduction to designing experiments in agriculture, environmental science, and natural sciences.

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Product Details

  • ISBN-13: 9781584885382
  • Publisher: Taylor & Francis
  • Publication date: 3/15/2006
  • Edition description: REV
  • Edition number: 2
  • Pages: 456
  • Product dimensions: 6.40 (w) x 9.30 (h) x 1.20 (d)

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

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