Series of randomized complete block experiments with non-normal data

Bathke, A.C. and Harrar, S.W. and Wang, H. and et al, . (2010) Series of randomized complete block experiments with non-normal data. Computational Statistics & Data Analysis, 54 (7). pp. 1840-1857.

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Randomized complete block designs are common in agricultural and other experiments. In this manuscript, we derive asymptotic procedures as well as finite approximations, for the analysis of data arising from series of such experiments. We do not assume normality of the data, and the within-block covariance structures can be arbitrary (no restriction to compound symmetry). The methods are specifically designed for trials with many environments and few blocks per environment, such as multi-environment trials in variety testing and plant breeding. We consider fixed and random effects models for the environment factor. The methodology takes advantage of multivariate notation, and the questions of interest are formulated as profile analysis problems. Finite performance of the proposed procedures is examined in a simulation study, and application is demonstrated using data from a series of crop variety trials.

Item Type: Article
Additional Information: We wish to thank Dr. F. Laidig (Bundessortenamt Hannover, Germany) for providing the barley data.
Uncontrolled Keywords: Experimental design; Multi-environment trial; Multivariate analysis; Repeated measures; Split-plot design
Author Affiliation: University of Kentucky, Lexington, KY 40506-0027, USA
Subjects: Social Sciences
Divisions: General
Depositing User: Mr Siva Shankar
Date Deposited: 26 Dec 2013 03:16
Last Modified: 26 Dec 2013 03:16
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