A construction of resolvable quadruple systems
K. Pukanow, K. Wilczyńska (1981)
Colloquium Mathematicae
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K. Pukanow, K. Wilczyńska (1981)
Colloquium Mathematicae
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Sanpei Kageyama (1989)
Banach Center Publications
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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...
Tadeusz Caliński, Sanpei Kageyama (2004)
Discussiones Mathematicae Probability and Statistics
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Partially efficiency balanced (PEB) designs with m efficiency classes have been defined by Puri and Nigam [15] as block designs which have simple analysis and, if properly used, allow the important contrasts to be estimated with desired efficiency. Such designs can be made available in varying replications and/or unequal block sizes. However, any block design is a PEB design with m efficiency classes for some m < v, where v is the number of treatments in the design. So the term "PEB"...
R.N. Mohan, Sanpei Kageyama, M.M. Nair (2004)
Discussiones Mathematicae Probability and Statistics
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All the symmetric balanced incomplete block (SBIB) designs have been characterized and a new generalized expression on parameters of SBIB designs has been obtained. The parameter b has been formulated in a different way which is denoted by bi, i = 1, 2, 3, associating with the types of the SBIB design Di. The parameters of all the designs obtained through this representation have been tabulated while corresponding them with the suitable formulae for the number ofblocks bi and the expression...
Kazuhiro Ozawa, Shinji Kuriki, Stanisław Mejza (2017)
Biometrical Letters
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We construct an incomplete split-block design (ISBD) by the semi- Kronecker product of two affine α-resolvable designs for row and column treatments. We characterize such ISBDs with respect to the general balance property and we give the stratum efficiency factors for the ISBDs.
W.L. Notz, D.C. Whittinghill, Y. Zhu (1994)
Metrika
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Sudhir Gupta, Woo-Sun Lee, Sanpei Kageyama (1995)
Metrika
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Katarzyna Ambroży, Bronisław Ceranka (2001)
Discussiones Mathematicae Probability and Statistics
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The paper studied the problem of estimating of the weights of p objects in n weighings using a chemical balance weighing design under the restriction on the number of objects which can be placed on the right and left pans, respectively. Conditions under which the estimated weights are uncorrelated are given. The incidence matrices of two ternary balanced block designs which are used to construct chemical balance weighing designs satisfying these conditions are considered.
Jagdish N. Srivastava, A. M. Wijetunga (1983)
Trabajos de Estadística e Investigación Operativa
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In this paper we consider a class of incomplete block designs in which every block is two dimensional. Thus heterogeneity is removed not only between blocks, but also in two directions within each block. Such designs have been considered before in Srivastava (1977,1978). Here, we consider the class of cyclic designs of this type when the number of treatments ν is an odd number between 5 and 25, and present designs that are D-optimal within this class.
Nizam Uddin (1995)
Metrika
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Paulus Gerdes (2002)
Visual Mathematics
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Lowell A. Carmony (1981)
Colloquium Mathematicae
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Kazuhiro Ozawa, Shinji Kuriki, Stanisław Mejza (2016)
Biometrical Letters
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We consider an incomplete split-plot design (ISPD) with two factors generated by the semi-Kronecker product of two α-resolvable designs. We use an α-resolvable design for the whole plot treatments and an affine α-resolvable design for the subplot treatments. We characterize the ISPDs with respect to the general balance property, and we give the stratum efficiency factors for the ISPDs.
V.C. Mavron (1981)
Aequationes mathematicae
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P. Adams, D.E. Bryant, A. Khodkar (1996)
Aequationes mathematicae
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Ratnakaram Nava Mohan, Bronisław Ceranka, Sanpei Kageyama (2001)
Discussiones Mathematicae Probability and Statistics
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The construction of some optimum chemical balance weighing designs from affine μ-resolvable balanced incomplete block (BIB) designs are discussed in the light of a characterization theorem on the parameters of affine μ-resolvable BIB designs as given by Mohan and Kageyama (1982), for the sake of practical use of researchers who need some selective designs for the construction of chemical balance weighing designs.
Anastasios Katsileros, Christos Koukouvinos (2015)
Biometrical Letters
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Variability among experimental plots may be a relevant problem in field genotype experiments, especially when a large number of entries are involved. Four field trials on 24 durum wheat genotypes were conducted in 2013/14 in order to evaluate the efficiency of Incomplete Block, Alpha and Augmented designs in comparison with the traditional Randomized Complete Block Design (RCBD). The results showed that the RCBD can be replaced by an Alpha design, which provides better control of variability...