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AuthorFederer, Walter T. author
TitleStatistical Design and Analysis for Intercropping Experiments [electronic resource] : Volume 1: Two Crops / by Walter T. Federer
ImprintNew York, NY : Springer New York, 1993
Connect tohttp://dx.doi.org/10.1007/978-1-4613-9305-4
Descript XX, 298 p. online resource

SUMMARY

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 intercropping experiments. Its main themes are that techniques such as relative indices make it possible to cover a wide variety of conditions, and that statistical models for density-yield relations enable recommendations to be made to growers of crops. As a result, graduate students and researchers in statistics, biometry, and agriculture whose study involves intercropping will find this an invaluable text and reference


CONTENT

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 -- 3 Both Crops Main Cropsโ{128}{148}Density Constantโ{128}{148}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 Cropsโ{128}{148}Density Constantโ{128}{148}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 Varying Densities -- 5.1. Objectives and Introduction -- 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 -- 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 Arrangementsโ{128}{148}Density Constant -- 8.3. Spatial Arrangementsโ{128}{148}Density Variable -- 8.4. Statistical Analyses for the Arrangements in Section 8.3 -- 8.5. Summary and Discussion -- 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


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