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Biometrics, 1967
A split plot design for the factorial treatment combinations of factors A and B with t and s levels respectively, consists of wholeplots made up of s subplots or experimental units with each level of A applied to r wholeplots and the levels of B applied to the s subplots within each wholeplot.
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A split plot design for the factorial treatment combinations of factors A and B with t and s levels respectively, consists of wholeplots made up of s subplots or experimental units with each level of A applied to r wholeplots and the levels of B applied to the s subplots within each wholeplot.
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1991
Here we introduce the simplest “hierarchical” design, the split plot design. This design has two error terms, corresponding to a subdivision of the error space into two orthogonal subspaces. Studies employing this design have (at least) two treatment factors; the effects of one factor, however, are estimated more accurately than the effects of the ...
David J. Saville, Graham R. Wood
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Here we introduce the simplest “hierarchical” design, the split plot design. This design has two error terms, corresponding to a subdivision of the error space into two orthogonal subspaces. Studies employing this design have (at least) two treatment factors; the effects of one factor, however, are estimated more accurately than the effects of the ...
David J. Saville, Graham R. Wood
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2017
When the levels of some treatment factors are more difficult to change during the experiment than those of others, split-plot designs are necessary. In a split-plot design, the experimental units are called split plots, and are nested within whole plots, which themselves may or may not be nested within blocks. The split plots within each whole plot are
Angela Dean +2 more
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When the levels of some treatment factors are more difficult to change during the experiment than those of others, split-plot designs are necessary. In a split-plot design, the experimental units are called split plots, and are nested within whole plots, which themselves may or may not be nested within blocks. The split plots within each whole plot are
Angela Dean +2 more
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Supersaturated Split-Plot Designs
Journal of Quality Technology, 2013Methods to construct supersaturated split-plot designs (SSSPDs) are presented. The authors use an E(s²)-optimal supersaturated design (SSD) in the whole-plot and half fractions of Plackett-Burman designs (PBDs) in the split plot. It is shown that (1) the resulting split-plot design has orthogonal columns, (2) the split-plot columns are orthogonal to ...
Woon Yuen Koh +2 more
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Statistics & Probability Letters, 1984
This paper deals with the analysis of split plot designs in which the number of sub-plots within the whole plot is less than the levels of the factors attached to the sub-plots. This is a particular case of incomplete block designs. The analysis is based on the generalized least squares theory.
Mejza, Iwona, Mejza, Stanisław
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This paper deals with the analysis of split plot designs in which the number of sub-plots within the whole plot is less than the levels of the factors attached to the sub-plots. This is a particular case of incomplete block designs. The analysis is based on the generalized least squares theory.
Mejza, Iwona, Mejza, Stanisław
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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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Square Lattice Designs in Incomplete Split-Plot Designs
Journal of Statistical Theory and Practice, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuriki, Shinji, Nakajima, Kiyoaki
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Model-robust designs for split-plot experiments
Computational Statistics & Data Analysis, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Byran J. Smucker +2 more
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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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2014
For the split-plot design, we are concerned with two or more factors, but we wish for more precise information on some of them than on others. If we are interested in more accurate information, for instance, on factor B than on A, then the usual scheme is to assign the various levels of factor A at random to whole plots (main plots) in each replicate ...
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For the split-plot design, we are concerned with two or more factors, but we wish for more precise information on some of them than on others. If we are interested in more accurate information, for instance, on factor B than on A, then the usual scheme is to assign the various levels of factor A at random to whole plots (main plots) in each replicate ...
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