Construction and Analysis of Augmented and Modified Augmented Designs

Eshetie, Aragaw (2011) Construction and Analysis of Augmented and Modified Augmented Designs. Masters thesis, Addis Ababa University.

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The augmented block design is widely used in breeding programs, particularly in screening and selection of a large number of germplasm lines with non-replicated test treatments and replicated control treatments to estimate the experimental error. The study establishes a relationship between augmented design via RIB design and designs for test treatment(s) versus control treatment(s) and 2 v balanced main effect plans (saturated and unsaturated) obtained through BIB designs. The data used in this study were obtained from an experiment of wheat which was conducted by using augmented RIB design and a modified augmented BIB design from scientific journal. In these design, we consider eight test treatments and four control treatment for augmented design and thirteen test treatment and three control treatment for the modified augmented BIB design. The construction and the analysis of modified augmented BIB design can be considered by using the fixed and mixed model analysis, and in addition, a method is proposed for finding A- and MV- Optimal designs such situations and some sufficient conditions are given under which a design obtained using the proposed method will be A-and MV-optimal. Some examples are also given to show how the results obtained can be applied. The results were obtained using excel and SAS. We have seen in this study that when block is greater than two, the modified augmented BIB design is more efficient than augmented RIB designs.

Item Type: Thesis (Masters)
Uncontrolled Keywords: Augmented Design, Modified Augmented Block Design, Fixed Effect Model and Random Effect Model.
Subjects: H Social Sciences > HA Statistics
Divisions: Africana
Depositing User: Selom Ghislain
Date Deposited: 15 Aug 2018 14:09
Last Modified: 15 Aug 2018 14:09

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