Construction and Analysis of Augmented and Modified Augmented Designs

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Date

2011-11

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Addis Ababa University

Abstract

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 h'eatments to estimate the experimental error. The study es tablishes a relationship between augmented design via RIB design and designs for test tTeatment(s) versus conh'ol h'eahnent(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 h'eahnents and four conh'ol h'eatment for augmented design and thirteen test h'eatment and tlu'ee conh'ol h'eatment for tile modified augmented BIB design, The consh'uction and tile analysis of modified augmented BIB design can be considered by using the fixed and mixed model analysis, and in addition, a metilOd 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 metllod will be A-and MV-optimal. Some examples are also given to show how the results obtained can be applied, The resull, were obtained using excel and SAS, We have seen in this study that when block is greater than lwo, tile modified augmented BIB design is more efficient tllan augmented RIB deSigns, Key words: Augmented Design, Modified Augmented Block Design, Fixed Effect Model and Random Effect Model.

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Keywords

Augmented Design, Modified Augmented Block Design, Fixed Effect Model and Random Effect Model

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