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Incomplete factorial experiments in completely randomized and randomized complete block designs
Statistics & Probability Letters, 2008The estimation of main and interaction effects is considered, when some treatment combinations are excluded from the experiment and one or more factorial contrasts can be assumed to be negligible. For equal treatment replication, it is shown that the increase in variance due to the exclusion of some treatment combinations depends on the degree of ...
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The Completely Randomized Design
2014The completely randomized design (CRD) is the simplest of all experimental designs, both in terms of analysis and experimental layout. Here, treatments are randomly allocated to the experimental units entirely at random. Thus if a treatment is to be applied to five experimental units, then each unit is deemed to have the same chance of receiving the ...
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Multivariate Tests for Correlated Data in Completely Randomized Designs
Journal of Educational and Behavioral Statistics, 1999Power comparisons are provided for three permutation tests and the Bartlett-Nanda-Pillai trace test in completely randomized experimental designs with correlated multivariate dependent variables. Five bivariate distributions, five levels of correlation, equal and unequal sample sizes, two variations of location shifts, and two types of commensuration ...
Paul W. Mielke, Kenneth J. Berry
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, 2011 A modified Friedman test for randomized complete block designs
Communications in Statistics - Simulation and Computation, 2016AbstractThe Friedman test is often used for a randomized complete block design when the normality assumption is not satisfied or the data are ordinal. The Friedman test can be viewed as an extension of the sign test for multiple measurements within each subject or block.
Xu, Jianbo +5 more
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Software package for analysis of completely randomized block design
Journal of the Nigerian Association of Mathematical Physics, 2008This study is to design and develop statistical software (package), OYSP1.0 which conveniently accommodates and analyzes large mass of data emanating from experimental designs, in particular, completely Randomized Block design. Visual Basic programming is used in the design.
JI Mbegbu, OI Ojukwu
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Analysis of binary data in the randomized complete block design
Communications in Statistics - Theory and Methods, 1985The technique proposed by Shah and Claypool (1984) is extended here for the randomized complete block design with one binary observation per cell. In addition, it provides an al- ternative derivation of the distribution of Cochran's Q sta- tistic which is straightforward.
Arvind Shah, P.L. Claypool
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Relative Efficiency of the Randomized Complete Block Design
Experimental Agriculture, 1976SUMMARYThe efficiency of the randomized complete block design, relative to the completely randomized design, is linearly expressed as: Relative efficiency=A+CF, where A and C are constants determined by the number of treatments (t) and blocks (b) and F=calculated F value for blocks in the ANOVA table.
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OCDs in Completely Randomized Design Set-Up
2015This chapter addresses optimality issues for covariate designs under CRD set-up. We discuss optimum allocation of treatments and optimum selection of values of the covariates in this set-up for simultaneous estimation of the (fixed) treatment effects (in the absence of the general effect) and the covariate effects.
Nripes Kumar Mandal +3 more
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The Analysis of Ranked Data Derived from Completely Randomized Factorial Designs
Biometrics, 1976This paper presents a method for the analysis of ranked data arising from completely randomized factorial designs. The procedure, which is an extension of the Kruskal-Wallis ranks test, allows for the calculation of interaction effects and linear contrasts. A Monte Carlo study of the convergence of the test and a worked example are presented.
C J Scheirer, N Hare, W S Ray
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