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Power Aspects of Split-Plot Designs
The Statistician, 1984The sensitivity of power in analysis of variance to the departures from the in-built assumptions is discussed in Kanji (1975) and Kanji and Liu (1983) and in obtaining the power they have used the general linear model. The purpose of this paper is to discuss a particular case of the above situation, namely the split-plot design.
C. K. Liu, G. K. Kanji
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Augmented Split Plot Experiment Design
Journal of Crop Improvement, 2006A new class of augmented experiment designs is introduced. This is a follow-up on the 2005 paper by the author on augmented split block experiment designs. The designs are presented to expand the possibilities for experimenters for use in screening untested or partially screened material. These designs allow testing of new treatments over other factors,
Walter T. Federer, Florio Arguillas
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Constrained Split-Plot Designs [PDF]
, 2002 It 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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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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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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Treatment of Microarray Experiments as Split-Plot Designs
Journal of Biopharmaceutical Statistics, 2003This paper shows that microarray experiments are split-plot, or split-unit, designs. The larger size experimental unit (the whole plot) is the array, and the treatment applied to this unit is the treatment given to the cells which produce the cDNA that is hybridized to the array. The smaller size experimental unit (the subplot) is the spot on the array,
Kapil Sen +2 more
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Split-Plot and Split-Block Designs
2020Split-plot and Split-block designs belong to a class of designs in which the inter-block information is utilized fully. These designs arose from agricultural experiments where there is a necessity to consider plots of different sizes, as plots of comparable sizes may not be available.
S. Ravi +2 more
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Components of Variance Estimation for the Split-Plot Design
Journal of the American Statistical Association, 1978Abstract In the balanced two-way layout split-plot design, maximum likelihood estimators and restricted maximum likelihood estimators are compared with the commonly used minimum variance unbiased estimators of variance components. Consistency problems are noted for the maximum likelihood estimators and a theorem is proved showing that the mean square ...
Shou-Hua Li, Jerome Klotz
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The split-plot design with covariance
2018A split-plot data structure is usually modelled by a linear classificatory model with a 0,1 model matrix and with error consisting additively of independent Gaussian errors. Statistical analysis of such a data structure in the usual mode involves then two components of error variance.
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The Use of Plackett–Burman Designs to Construct Split-Plot Designs
Technometrics, 2005AbstractWhen some factors are hard to change and others are relatively easier, split-plot experiments are often an economic alternative to fully randomized designs. Split-plot experiments, with their structure of subplot arrays imbedded within whole-plot arrays, have a tendency to become large, particularly in screening situations when many factors are
Kulahci, M., Bisgaard, S.
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