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Mixing Ability Effects When Individual Cultivar Responses Are Available

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Statistical Design and Analysis for Intercropping Experiments

Part of the book series: Springer Series in Statistics ((SSS))

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Abstract

In Volume I, Chapter 6, biological models for cultivars in mixtures were presented for m cultivars in mixtures of n = 2 cultivars. In this chapter, we generalize the concepts and statistical methods to m cultivars in mixtures of size n cultivars following the approach of Federer and Raghavarao (1987). These authors considered minimal designs to estimate all types of mixing abilities for m cultivars in mixtures of size n. They built upon the ideas in (1976), (1979), and (1976) to obtain the theoretical results for this chapter.

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Literature Cited

  • Ezumah, H.C., W.T. Federer, and G.O. Myers (1991) Intercropping cassava with grain legumes in humid Africa. 1. cowpea yields. BU-1108-MC, Technical Report Series, Biometrics Unit, Cornell University, May.

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  • Federer, W.T., A. Hedayat, C.C. Lowe, and D. Raghavarao (1976) Application of statistical design theory to crop estimation with special reference to legumes and mixtures of cultivars. Agron. J. 68, 914–919.

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  • Federer, W.T. (1979). Statistical design and response models for mixtures of cultivars. Agron. J. 71, 701–706.

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  • Federer, W.T. and D. Raghavarao (1987). Response models and minimal designs for mixtures of n and m items useful for intercropping and other investigations. Biometrika 74, 571–577.

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  • Hall, D.B. (1976). Mixing designs: A general model, simplifications, and some minimal designs. M.S. Thesis, Cornell University, Ithaca,NY.

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© 1999 Springer-Verlag New York, Inc.

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(1999). Mixing Ability Effects When Individual Cultivar Responses Are Available. In: Statistical Design and Analysis for Intercropping Experiments. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-22647-7_5

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  • DOI: https://doi.org/10.1007/978-0-387-22647-7_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-98533-6

  • Online ISBN: 978-0-387-22647-7

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