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Randomized Block Designs

2009
Simple random allocation designs in RCTs cannot always guarantee balance in terms of variance, between-group size, or covariant effects. This is particularly the case in smaller trials of a few hundred units or less. These imbalances pose threats to the power of statistical tests, as well as to the precision of treatment estimates.
Barak Ariel, David P. Farrington
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Randomized-Blocks Designs

2019
This chapter introduces permutation methods for multiple matched samples, i.e., randomized-blocks designs. Included in this chapter are six example analyses illustrating computation of exact permutation probability values for randomized-blocks designs, calculation of measures of effect size for randomized-blocks designs, the effect of extreme values on
Kenneth J. Berry   +2 more
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Approximate Design Theory for a Simple Block Design with Random Block Effects [PDF]

open access: possible, 1985
A simple block design with treatment effects fixed and block effects random is considered. It is shown that the sole design class which is amenable to an analysis is formed by all designs which are equi-blocksized. In this setting the block totals induce a new model, the interblock model, in which the mean vector depends linearly on the design matrix ...
Christof, K., Pukelsheim, Friedrich
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Rank tests for censored randomized block designs

Biometrika, 1981
SUMMARY Rank tests are proposed and studied for the hypothesis of equal treatment effects in randomized block experiments. The procedures are applicable to samples containing arbitrarily right-censored observations as well as uncensored observations.
Woolson, Robert F.   +1 more
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Randomized Block Designs: Ordinal Data

2016
Chapter 10 utilizes the multivariate randomized-block permutation procedures (MRBP) developed in Chap. 8 for analyzing randomized-block data at the ordinal level of measurement. The structure of the MRBP test statistic, δ, depends on the choice of v in the generalized Minkowski distance function.
Kenneth J. Berry   +2 more
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Randomized-Blocks Designs

2021
Kenneth J. Berry   +3 more
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Block Designs: A Randomization Approach

2000
1 Introduction.- 2 Basic Terminology and Preliminaries.- 3 General Block Designs and Their Statistical Properties.- 4 Balance and Efficiency: Classification of Notions.- 5 Nested Block Designs and the Concept of.- Appendix A. Subspaces and Projections.- A.1 Linear vector subspaces.- A.2 Projection operators.- References.- Author Index.
Tadeusz Caliński, Sanpei Kageyama
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Replicated Randomized Complete Block Design

Journal of Quality Technology, 1978
A computer program is given that assists in analyzing data from a replicated randomized complete block experimental design. One worked example is given.
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Randomized-Blocks Designs

2023
Kenneth J. Berry, Janis E. Johnston
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The Generalized Randomized Block Design

The American Statistician, 1969
(1969). The Generalized Randomized Block Design. The American Statistician: Vol. 23, No. 4, pp. 35-36.
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