Abstract
Reinforced balanced incomplete block designs (BIBDs) are very useful in statistical planning of experiments as they can be constructed for any number of treatments for given numbers of replications. Das (1958) was first to introduce the statistical analysis of variance (ANOVA) of these designs, and in the same year Giri also developed the same statistical analysis of variance for reinforced partially balanced incomplete block designs (PBIBDs). In this article, we focus on the method of statistical analysis of covariance (ANCOVA) of reinforced balanced incomplete block design (BIBD) when a single explanatory variable is available in the experiment.
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References
M.N. Das, Reinforced incomplete block designs, Journal of the Indian Society of Agricultural Statistics, 10 (1958) 73–77.
M.N. Das and N.C. Giri, Design and Analysis of Experiments, 2nd ed., (Wiley Eastern Ltd., New Delhi, 1986).
D.J. Finney, Standard errors of yield adjusted for regression on an independent measurement, Biometrics, 2 (1946) 53–55.
N.C. Giri, On reinforced PBIB designs, Jour. Ind. Agri. Stat., 12(1958) 41–51.
F. Yates, Incomplete randomized blocks, Annals of Eugenics, 7(2) (1936) 121–140.
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Ghosh, D.K., Bhatt, M.G. & Bagui, S.C. Analysis of Covariance of Reinforced Balanced Incomplete Block Designs With a Single Explanatory Variable. J Stat Theory Appl 13, 235–246 (2014). https://doi.org/10.2991/jsta.2014.13.3.5
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DOI: https://doi.org/10.2991/jsta.2014.13.3.5