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Design of Experiments for Agriculture and the Natural Sciences

2018; Informa; Linguagem: Inglês

10.1201/9781315276021

Reza Hoshmand,

Agricultural Engineering and Mechanization

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