Statistical Design and Analysis for Intercropping Experiments: Three or More Crops

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Intercropping is an area of research for which there is a desperate need, both in developing countries where people are rapidly depleting scarce resources and still starving, and in developed countries, where more ecologically and economically sound ways of feeding ourselves must be developed. The only published guidelines for conducting such research and analyzing the data have been scattered about in various journal articles, many of which are hard to find. This book condenses these methods and will be ...

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Overview

Intercropping is an area of research for which there is a desperate need, both in developing countries where people are rapidly depleting scarce resources and still starving, and in developed countries, where more ecologically and economically sound ways of feeding ourselves must be developed. The only published guidelines for conducting such research and analyzing the data have been scattered about in various journal articles, many of which are hard to find. This book condenses these methods and will be immensely valuable to agricultural researchers and to the statisticians who help them design their experiments and interpret their results.

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Product Details

  • ISBN-13: 9780387985336
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 10/23/1998
  • Series: Series in Statistics
  • Edition number: 1
  • Pages: 262

Table of Contents

    11 Introduction to Volume II
    Experiments Involving Comparisons of Agricultural Systems
    Land Use and Agronomic Goals
    Crop Value and Economic Goals
    Nutritional Value
    Sustainability of a System
    Biological Goals and Considerations
    Statistical Considerations
    Scope of Volume II
    Literature Cited Chapter
    12 One Main Crop Grown With More Than One Supplementary Crop
    Introduction
    Some Statistical Design Considerations
    Response Model Equations
    Example
    Several Cultivars of Primary Interest
    Some Comments
    Problems
    Literature Cited
    13 Three or More Main Crops---Density Constant
    Introduction
    Treatment Design
    Example 13.1
    Example 13.2
    Example 13.3
    Example 13.4
    Response Model Equations and Analyses
    Example 13.5
    Combined Responses For Three or More Crops
    Example 13.6
    Example 13.7
    Example 13.8
    Some Comments
    Problems
    Literature Cited
    Appendix 13A
    Appendix 13B
    14 Varying Densities For Some or All Crops in a Mixture
    Introduction
    Treatment Design
    Design 1
    Design 2
    Design 3
    Design 4
    Design 5
    Statistical Analyses For Sole Crop Response
    Statistical Analyses For Combined Responses From All Crops
    Modeling Responses in Sole Crop Yields
    Modeling Responses for Mixtures Based on Sole Crop Model
    An Example
    Analysis for cI Lines for Crop i
    Summary and Discussion
    Literature Cited
    Problems
    15 Mixing Ability Effects When Individual Cultivar Responses Are Available
    Introduction
    Type and Nature of Effects
    15.2.1 General mixing ability
    15.2.2 Bi-specific mixing ability
    15.2.3Tri-specific mixing ability
    15.2.4 k-specific mixing ability
    Minimal Designs and Response Models
    15.3.1 Minimal designs for cultivar and GMA effects
    15.3.2 Minimal designs for cultivar plus BSMA effects
    15.3.3 Minimal designs for cultivar plus BSMA plus TSMA effects
    15.3.4 Minimal designs for cultivar plus BSMA plus TSMA plus QSMA effects
    15.3.5 Minimal designs for all effects up to KSMA effects
    Solutions for Parameters
    15.4.1 Cultivar effects for equations (15.1)—(15.3)
    Example 15.1
    15.4.2 Cultivar and BSMA effects for equations (15.4) and (15.5), n=2
    Example 15.2
    15.4.3 Cultivar and BSMA effects for equations (15.4) and (15.5) for n=m-1
    15.4.4 Cultivar, BSMA, and TSMA effects for equations (15.6)—(15.8), n=3
    Example 15.3
    15.4.5 Cultivar, BSMA, TSMA, and QSMA effects for equations (15.9)—(15.12), n=4
    Example 15.4
    Combined ANOVA for m Cultivars
    Problems
    Literature Cited
    Appendix A
    Appendix B
    16 Intercrop Mixtures When Individual Crop Responses Are Not Available
    Introduction
    Treatment Designs For Estimating up to kth Specific Mixing Ability Effects
    Response Model Equations, Solutions, and Analyses for Cultivar Effects
    Example 16.1. Saturated Main Effect Treatment Design For Estimating Cultivar Effects
    Example 16.2. Supplemented Block Design For Estimating Cultivar Effects
    Response Model Equations, Solutions, and Analyses, Cultivar + BSMA Effects
    Example 16.3. Minimal Treatment Design for Cultivar and BSMA Effects
    Response Model Equations, Solutions, and Analyses, Cultivar + BSMA + TSMA Effects
    Example 16.4. Estimating Cultivar, BSMA, and TSMA Effects
    Response Model Equations, Solutions, and Analyses, Cultivar + BSMA + TSMA + QSMA Effects
    Response Models for Crop Competition
    16.7.1. Model 1 for Crop Competition
    16.7.2. Model 2 for Crop Competition
    16.7.3. Model 3 for Crop Competition
    16.7.4. Model 4 for Crop Competition
    Literature Cited
    Problems
    Appendix 16.1
    Appendix 16.2
    Appendix 16.3
    17 Spatial and Density Arrangements
    Introduction
    Spatial Arrangements-Density per Hectare Constant
    Spatial Arrangements-Density Variable
    Statistical Analyses for the Plans of Sections 17.2 and 17.3
    Discussion and Comments
    Problems
    Literature Cited
    18 Some Analytical Variations for Intercropping Studies
    Introduction
    Replacement Series
    Example 18.1
    Example 18.2
    Combined Yield Comparisons
    Mean method
    Half hectare method
    Pure stand production
    Relative yield total or land equivalent ratio
    Total effective area
    Competition Indices
    Relative crowding coefficient
    Relative reproductive rate
    Competition index
    Coefficient index
    Coefficient of agressivity
    Competitive ratio
    Example 18.3
    Linear Programming
    Example 18.4
    Example 18.5
    Discussion
    Problems
    Literature Cited
    19 Applications of Intercropping Procedures to Other Fields
    Introduction
    Agriculture
    Ecological Studies
    Golf Courses
    Medicine and Pharmacology
    Education
    Exercise and Aerobics
    Engineering
    Marketing and Transportation
    Nutrition and Diet
    Comments
    Problem
    Literature Cited
    20 An Intercropping Bibliography
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