The robustness of resolvable block designs against the loss of whole blocks or replicates

Godolphin, J. D.; Godolphin, E. J.

doi:10.1016/j.jspi.2015.02.006

Cited by 6 publications

(4 citation statements)

References 23 publications

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Section: Discussionmentioning

confidence: 99%

“…The concept of forming conditions on designs which permit any pattern of missing values mimics the situation with incomplete block designs as described, for example, by Godolphin and Godolphin. 24,25 The requirements that there should be at least 2t subjects in the planned design and that all subjects should complete the first two periods of study appear to be essential conditions, on theoretical grounds. For any value of t, there is only one degree of freedom available for the worst possible drop-out case, which is that the eventual design is the minimal design with only 2t observations recorded.…”

Section: Discussionmentioning

confidence: 99%

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Robustness of crossover trials against subject drop-out – Examples of perpetually connected designs

Godolphin

2017

Stat Methods Med Res

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When performing a repeated measures experiment, such as a clinical trial, there is a risk of subject drop-out during the experiment. If one or more subjects leave the study prematurely, a situation could arise where the eventual design is disconnected, implying that very few treatment contrasts for both direct effects and carryover effects are estimable. This paper aims to identify experimental conditions where this problem with the eventual design can be avoided. It is shown that in the class of uniformly balanced repeated measurement designs consisting of two or more Latin squares, there are planned designs with the following useful property. Provided that all subjects have completed the first two periods of study, such a design will not be replaced by a disconnected eventual design due to drop-out, irrespective of the type of drop-out behaviour that may occur. Designs with this property are referred to as perpetually connected. These experimental conditions are identified and examined in the paper and an example of at least one perpetually connected uniformly balanced repeated measurement design is given in each case. The results improve upon previous contributions in the literature that have been confined largely to cases in which drop-out occurs only in the final periods of study.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Robustness of crossover trials against subject drop-out – Examples of perpetually connected designs

Godolphin

2017

Stat Methods Med Res

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“…Several authors have investigated conditions for a binary block design to be maximally robust, such that every possible design obtained from the initial design by eliminating ri−1 blocks is connected, where ri is the smallest treatment replication (e.g. Ghosh 1982, Baksalary and Tabis 1987, Sathe and Satam 1992, Godolphin and Warren 2011, Godolphin and Godolphin 2015. A fundamental requirement for a design to be robust is that it remain connected after the removal of either a small number of plots or a small number of blocks.…”

Section: Robustness Of Nrc Designs Against the Loss Of Whole Blocksmentioning

confidence: 99%

“…Several authors have investigated conditions for the robustness of certain designs (e.g. Warren 2011, Godolphin andGodolphin 2015). In the present paper, the robustness of a block design with nested rows and columns against the loss of whole blocks will be presented.…”

Section: Introductionmentioning

confidence: 99%

Some notes on planning plant protection research in block designs with nested rows and columns

Kozłowska

2021

Biometrical Letters

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Summary Factorial experiments in block designs with nested rows and columns are described with suggestions about how they should be planned. In such experiments the importance of interaction and hidden replication are emphasized. Such experiments are carried out on heterogeneous experimental material. Thus, it is reasonable to seek a design that can withstand the loss of observations. The robustness of a block design with nested rows and columns against the loss of whole blocks is presented, along with examples of such designs.

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Type-II Intermittency from Markov Binary Block Visibility Graph Perspective

Bordbar

Ahadpour

2019

J Stat Phys

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The robustness of resolvable block designs against the loss of whole blocks or replicates

Cited by 6 publications

References 23 publications

Robustness of crossover trials against subject drop-out – Examples of perpetually connected designs

Robustness of crossover trials against subject drop-out – Examples of perpetually connected designs

Some notes on planning plant protection research in block designs with nested rows and columns

Type-II Intermittency from Markov Binary Block Visibility Graph Perspective

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