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Split-Plot Designs for Robotic Serial Dilution Assays
Biometrics, 2011This article explores effective implementation of split-plot designs in serial dilution bioassay using robots. We show that the shortest path for a robot to fill plate wells for a split-plot design is equivalent to the shortest common supersequence problem in combinatorics.
Buzas, Jeffrey S. +2 more
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Blocking in incomplete split plot designs
Biometrika, 1970SUMMARY An incomplete split plot design with whole plots arranged in a completely randomized design was proposed by Robinson (1967). In this note, designs in which the whole plots are arranged in blocks, are considered. A method of construction and estimates of treatment effects are given. Robinson (1967) discussed certain incomplete split plot designs
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Split-plot designs: discussion and examples
International Journal of Quality Engineering and Technology, 2010Split-plot designs and the appropriate statistical analysis of the resulting data are frequently misunderstood by industrial experimenters. The objective of this tutorial paper is to review split-plot designs for full and fractional factorial experiments, explain why they often arise in industrial experiments, and provide several illustrative examples.
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Constrained Split-Plot Designs
2002It often happens that all the experimental runs within one group have the same level for one or more factors under investigation. Typically, these factors are hard to change or to control. The resulting design is then called a split-plot design. The groups of a split-plot design are referred to as whole plots and they are divided in so-called sub-plots.
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Split-Plot Design: A Robust Analysis
1996This paper is devoted to the examination of the robustness of standard split-plot analysis for a two factors design with complete blocks under normality assumptions. For instance, in ceramics firing, the main factors are the oven temperature A and the clay mixture B.
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DP-Optimality in Terms of Multiple Criteria and Its Application to the Split-Plot Design
, 2017Yongtao Cao, S. Wulff, T. Robinson
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