Optimal Variance- and Efficiency-Balanced Designs for One-and Two-Way Elimination of Heterogeneity.
A. Dey, A. Das (1991)
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A. Dey, A. Das (1991)
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B. Ceranka, K. Katulska (1990)
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Shivani Rai, Shakti Banerjee, Sanpei Kageyama (2003)
Discussiones Mathematicae Probability and Statistics
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arious methods of constructing nested ternary and quaternary efficiency balanced and variance balanced designs are proposed by applying some repetitions of treatments in all possible pairs of treatments. In these designs sub-blocks and super-blocks may form different p-ary designs, where sub-blocks have higher efficiency as compared to super-blocks, i.e., any two elementary treatment contrasts in the sub-blocks can be measured with higher efficiency than any two elementary contrasts...
Bronisław Ceranka, Małgorzata Graczyk (2004)
Discussiones Mathematicae Probability and Statistics
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In this paper we study the estimation problem of individual measurements (weights) of objects in a model of chemical balance weighing design with diagonal variance - covariance matrix of errors under the restriction k₁ + k₂ < p, where k₁ and k₂ represent the number of objects placed on the right and left pans, respectively. We want all variances of estimated measurments to be equal and attaining their lower bound. We give a necessary and sufficient condition under which this lower...
W.L. Notz, D.C. Whittinghill, Y. Zhu (1994)
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Sanpei Kageyama (1989)
Banach Center Publications
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Sudhir Gupta, Woo-Sun Lee, Sanpei Kageyama (1995)
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Sumanda Bagchi (1994)
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S.C. Gupta (1987)
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S. Gupta, S. Kageyama (1991)
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Norman R. Draper, Dennis K. J. Lin (1995)
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Tadeusz Calinski, Idzi Siatkowski (2017)
Biometrical Letters
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Summary The main estimation and hypothesis testing results are presented for experiments conducted in proper block designs. It is shown that, under appropriate randomization, these experiments have the convenient orthogonal block structure. Because of this, the analysis of experimental data can be performed in a comparatively simple way. Certain simplifying procedures are introduced. The main advantage of the presented methodology concerns the analysis of variance and related hypothesis...
M. Jacroux (1991)
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Sanpei Kageyama, Hiroshi Setoya (1993)
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E. Sonnemann (1985)
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A. Dey, Ashish Das (1989)
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