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General Block Designs and Their Statistical Properties

2000
According to one of the basic principles of experimental design, the randomiza-tion principle (see Section 1.1), the experimental units (plots) are to be random-ized before they enter the experiment. Suppose that to apply a general block design, in the sense of Section 2.2, randomization is performed as described by Nelder (1954), i.e., by randomly ...
Tadeusz Caliński, Sanpei Kageyama
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On the Use of a Friedman-Type Statistic in Balanced and Unbalanced Block Designs

Technometrics, 1981
Distribution-free tests and multiple comparison procedures are considered for randomized block designs. A general Friedman-type statistic is defined that is usable in almost any block design with arbitrary missing data structure. For balanced incomplete block designs a multiple comparison procedure and exact tables are given for a statistic equivalent ...
John H. Skillings, Gregory A. Mack
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A Comparison among Combination-Based Permutation Statistics for Randomized Complete Block Design

Communications in Statistics - Simulation and Computation, 2012
It is well known that a best permutation test for all population distributions P does not generally exist, because the most powerful unbiased permutation test is a function of the population distribution P which is assumed to be unknown (Pesarin and Salmaso, 2010).
ARBORETTI GIANCRISTOFARO, ROSA   +2 more
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Some Statistical Properties of Nested Block Designs

1998
Nested block designs in a wide sense are newly discussed from a statistical point of view. Some statistical properties of such designs are presented with some constructions. The corresponding properties of the usual nested block designs in the literature are included as a special case.
S. Mejza, S. Kageyama
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22 Block designs: Their combinatorial and statistical properties

1996
Publisher Summary This chapter discusses the combinatorial and statistical properties of block designs. The theory of discrete designs is intimately related to many other areas of combinatorial theory. Block designs have opened up many interesting and challenging problems in combinatorial mathematics. The fundamental problems related to block designs,
Tadeusz Caliński, Sanpei Kageyama
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Studentized robust statistics in multivariate randomized block design

Journal of Nonparametric Statistics, 1998
Multiresponse experiments in randomized block design are considered. Statistical procedures of the test and estimation, based on studentized robust statistics, for location parameters in the models are proposed. Large sample properties of their procedures as the number of blocks tends to infinity are investigated.
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Benefits of statistical blocking techniques in the design of gear evaluation trials: introducing the Latin Square design

Fisheries Research, 2000
Abstract We evaluated the use of a Latin Square design for assessing the performance of bycatch reduction devices (BRDs). We wanted to ensure the most precise result possible given limited resources, high variability and the need to detect small differences.
Burridge, C.Y., Robins, J
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Incomplete Block Designs for Genetic Testing: Statistical Efficiencies with Missing Observations

Forest Science, 1999
Abstract Missing observations are common in forest genetic field trials and are expected to reduce statistical efficiencies of any applied field designs. Such reductions could lower the presumed efficiency and other benefits of implementing any incomplete block designs (ICBs).
Yong-Bi Fu   +3 more
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Design and statistical analysis of a new chaotic block cipher for Wireless Sensor Networks

Communications in Nonlinear Science and Numerical Simulation, 2012
Abstract Security issue is a vital and active topic in the research of Wireless Sensor Networks (WSN). After surveying the existing encryption algorithms for WSN briefly, we propose a new chaotic block cipher for WSN and then compare the performance of this cipher with those of RC5 and RC6 block ciphers.
Yanbing Liu   +3 more
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Some Simple Statistics to Test Against Ordered Alternatives in Complete Block Designs

Biometrical Journal, 1984
AbstractConsider testing the hypothesis of no treatment effects against a postulated ranking of the m treatments, given data from n Complete Blocks. A suitable test statistic is the weighted average rank correlation w = σbQiCi where Ci is the correlation between the postulated ranking and the ranking observed within the ith block, Qi is the rank of the
I. A. Salama, Dana Quade
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