Statistical Design and Analysis for Intercropping Experiments Volume 1: Two Crops

Intercropping is a method of sustaining or improving soil structure by growing two or more crops on the same field. It is a technique of wide application and of growing importance for both commercial and subsistence farmers. This textbook provides a comprehensive survey of the design and analysis of...

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Bibliographic Details
Main Author: Federer, Walter T.
Format: eBook
Language:English
Published: New York, NY Springer New York 1993, 1993
Edition:1st ed. 1993
Series:Springer Series in Statistics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 5.2. Treatment Design and Statistical Analysis for Comparisons Among Density Combinations for Individual Crop Responses
  • 5.3. Statistical Analyses for Responses from Both Crops for a Single Pair of Crops at Varying Densities
  • 5.4. Models and Analyses for Monocultures and Mixtures of Two Crops over a Range of Densities
  • 5.5. Analyses for c1 Lines of Crop 1 and c2 Lines of Crop 2
  • 5.6. Summary and Discussion
  • 5.7. Problems
  • 5.8. Literature Cited
  • Appendix 5.1. Derivation of Parameter Estimates and Their Variances Using a Generalized Least Squares Method for the Linear Model of Section 5.4 (Prepared by Anila Wijesinha)
  • Appendix 5.2. Distribution of Estimators and Hypothesis Tests (Prepared by Anila Wijesinha)
  • 6 Monocultures and Their Pairwise Combinations when Responses Are Available for Each Member of the Combination
  • 6.1. Introduction
  • 6.2. Treatment Design
  • 6.3. A Response Model and Some Statistical Analyses
  • 6.4. Summary and Discussion
  • 6.5. Problems
  • 3 Both Crops Main Crops—Density Constant—Analyses for Each Crop Separately
  • 3.1. Objectives and Introduction
  • 3.2. Treatment and Experiment Designs
  • 3.3. Univariate Analyses on Observed Variables for Each of the Two Main Crops
  • 3.4. Multivariate Analyses on a Vector of Observed Variables of One Crop
  • 3.5. Summary and Discussion
  • 3.6. Problems
  • 3.7. Literature Cited
  • 4 Both Crops Main Crops—Density Constant—Combined Crop Responses
  • 4.1. Objectives and Introduction
  • 4.2. Univariate Analyses on Functions of Combined Variables of Both Crops
  • 4.3. Land Equivalent Ratio or Relative Yield Total
  • 4.4. Multivariate Analysis on an Observation Vector of the Intercropping Systems
  • 4.5. Effect of Varying Proportions on Created Functions
  • 4.6. Summary and Discussion
  • 4.7. Problems
  • 4.8. Literature Cited
  • Appendix 4.1
  • 5 Both Crops of Major Interest with VaryingDensities
  • 5.1. Objectives and Introduction
  • 1 Introduction and Definitions
  • 1.1. Introduction and Objectives
  • 1.2. Statistical Design
  • 1.3. Types of Treatment
  • 1.4. Treatment Designs in Category 4 for Intercropping Experiments
  • 1.5. Some Statistical Problems Associated with Response Model Equations, Statistical Analyses, and Inferences
  • 1.6. Some Concepts and Definitions
  • 1.7. Literature Cited
  • 2 One Main Crop Grown with a Supplementary Crop
  • 2.1. Objectives and Introduction
  • 2.2. Some Examples of Main Crops Grown with a Supplemental Crop
  • 2.3. Statistical Designs and Univariate Analyses of Main Crop Yields for Experiments on Main and Supplemental Crops
  • 2.4. Some Additional Statistical Analyses for Yields of Main Crop Intercropped with a Supplemental Crop
  • 2.5. Multivariate Analyses for a Main Crop Grown with Supplemental Crops and Grown as a Sole Crop
  • 2.6. Summary and Discussion
  • 2.7. Problems
  • 2.8. Literature Cited
  • 6.6. Literature Cited
  • Appendix 6.1
  • Appendix 6.2
  • 7 Monocultures and Their Pairwise Combinations when Separate Crop Responses Are Not Available
  • 7.1. Introduction
  • 7.2. Treatment Designs
  • 7.3. Response Model Equations and Some Statistical Analyses
  • 7.4. Response Models for a Crop Competition Experiment
  • 7.5. Summary and Discussion
  • 7.6. Problems
  • 7.7. Literature Cited
  • Appendix 7.1. Derivation of Solutions for Response Model for Design 3
  • Appendix 7.2. Derivation of Solutions and Variances for Model 4, Example 7.5
  • 8 Spatial and Density Arrangements
  • 8.1. Introduction
  • 8.2. Spatial Arrangements—Density Constant
  • 8.3. Spatial Arrangements—Density Variable
  • 8.4. Statistical Analyses for the Arrangements in Section 8.3
  • 8.5. Summary andDiscussion
  • 8.6. Problems
  • 8.7. Literature Cited
  • 9 Some Analytical Variations for Intercropping Studies
  • 9.1. Introduction
  • 9.2. Replacement Series
  • 9.3. Other Indices
  • 9.4. Linear Programming
  • 9.5. Summary and Discussion
  • 9.6. Problems
  • 9.7. Literature Cited
  • 10 Experiment Designs for Intercropping Experiments
  • 10.1. Introduction
  • 10.2. Principles of Design of Experiments
  • 10.3. Zero-Way Elimination of Heterogeneity
  • 10.4. One-Way Elimination of Heterogeneity
  • 10.5. Two-Way Elimination of Heterogeneity
  • 10.6. Split Plot and Split Block Designs
  • 10.7. More Complex Experiment Designs
  • 10.8. Plot Technique
  • 10.9. Stability Concepts and Parsimonious Experiment Design
  • 10.10. Problems
  • 10.11. Literature Cited