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- Plackett–Burman_design abstract "Plackett–Burman designs are experimental designs presented in 1946 by Robin L. Plackett and J. P. Burman while working in the British Ministry of Supply.Their goal was to find experimental designs for investigating the dependence of some measured quantity on a number of independent variables (factors), each taking L levels, in such a way as to minimize the variance of the estimates of these dependencies using a limited number of experiments. Interactions between the factors were considered negligible. The solution to this problem is to find an experimental design where each combination of levels for any pair of factors appears the same number of times, throughout all the experimental runs (refer table). A complete factorial design would satisfy this criterion, but the idea was to find smaller designs.For the case of two levels (L=2), Plackett and Burman used the method found in 1933 by Raymond Paley for generating orthogonal matrices whose elements are all either 1 or -1 (Hadamard matrices). Paley's method could be used to find such matrices of size N for most N equal to a multiple of 4. In particular, it worked for all such N up to 100 except N = 92. If N is a power of 2, however, the resulting design is identical to a fractional factorial design, so Plackett–Burman designs are mostly used when N is a multiple of 4 but not a power of 2 (i.e. N = 12, 20, 24, 28, 36 …). If one is trying to estimate less than N parameters (including the overall average), then one simply uses a subset of the columns of the matrix.For the case of more than two levels, Plackett and Burman rediscovered designs that had previously been given by Raj Chandra Bose and K. Kishen at the Indian Statistical Institute.Plackett and Burman give specifics for designs having a number of experiments equal to the number of levels L to some integer power, for L = 3, 4, 5, or 7.When interactions between factors are not negligible, they are often confounded in Plackett–Burman designs with the main effects, meaning that the designs do not permit one to distinguish between certain main effects and certain interactions. This is called aliasing or confounding.".
- Plackett–Burman_design wikiPageID "7300309".
- Plackett–Burman_design wikiPageLength "28457".
- Plackett–Burman_design wikiPageOutDegree "22".
- Plackett–Burman_design wikiPageRevisionID "674987330".
- Plackett–Burman_design wikiPageWikiLink Alias_(statistics).
- Plackett–Burman_design wikiPageWikiLink Block_design.
- Plackett–Burman_design wikiPageWikiLink Box-Behnken_design.
- Plackett–Burman_design wikiPageWikiLink Box–Behnken_design.
- Plackett–Burman_design wikiPageWikiLink Category:Design_of_experiments.
- Plackett–Burman_design wikiPageWikiLink Confounding.
- Plackett–Burman_design wikiPageWikiLink Dependent_and_independent_variables.
- Plackett–Burman_design wikiPageWikiLink Design_of_experiments.
- Plackett–Burman_design wikiPageWikiLink Experimental_design.
- Plackett–Burman_design wikiPageWikiLink Factorial_design.
- Plackett–Burman_design wikiPageWikiLink Factorial_experiment.
- Plackett–Burman_design wikiPageWikiLink Fractional_factorial_design.
- Plackett–Burman_design wikiPageWikiLink Hadamard_matrix.
- Plackett–Burman_design wikiPageWikiLink Independent_variable.
- Plackett–Burman_design wikiPageWikiLink Indian_Statistical_Institute.
- Plackett–Burman_design wikiPageWikiLink J._P._Burman.
- Plackett–Burman_design wikiPageWikiLink K._Kishen.
- Plackett–Burman_design wikiPageWikiLink Ministry_of_Supply.
- Plackett–Burman_design wikiPageWikiLink Optimal_design.
- Plackett–Burman_design wikiPageWikiLink Orthogonal_matrix.
- Plackett–Burman_design wikiPageWikiLink Paley_construction.
- Plackett–Burman_design wikiPageWikiLink Raj_Chandra_Bose.
- Plackett–Burman_design wikiPageWikiLink Raymond_Paley.
- Plackett–Burman_design wikiPageWikiLink Robin_L._Plackett.
- Plackett–Burman_design wikiPageWikiLink Robin_Plackett.
- Plackett–Burman_design wikiPageWikiLink Variance.
- Plackett–Burman_design wikiPageWikiLinkText "Plackett–Burman design".
- Plackett–Burman_design wikiPageWikiLinkText "Plackett–Burman designs".
- Plackett–Burman_design wikiPageWikiLinkText "Plackett–Burman".
- Plackett–Burman_design wikiPageWikiLinkText "Plackett–Burmans".
- Plackett–Burman_design wikiPageWikiLinkText "Supersaturated design".
- Plackett–Burman_design wikiPageWikiLinkText "Supersaturated".
- Plackett–Burman_design hasPhotoCollection Plackett–Burman_design.
- Plackett–Burman_design wikiPageUsesTemplate Template:Experimental_design.
- Plackett–Burman_design wikiPageUsesTemplate Template:NIST-PD.
- Plackett–Burman_design wikiPageUsesTemplate Template:No.
- Plackett–Burman_design wikiPageUsesTemplate Template:Reflist.
- Plackett–Burman_design wikiPageUsesTemplate Template:Statistics.
- Plackett–Burman_design subject Category:Design_of_experiments.
- Plackett–Burman_design comment "Plackett–Burman designs are experimental designs presented in 1946 by Robin L. Plackett and J. P. Burman while working in the British Ministry of Supply.Their goal was to find experimental designs for investigating the dependence of some measured quantity on a number of independent variables (factors), each taking L levels, in such a way as to minimize the variance of the estimates of these dependencies using a limited number of experiments.".
- Plackett–Burman_design label "Plackett–Burman design".
- Plackett–Burman_design sameAs m.025yl9y.
- Plackett–Burman_design sameAs Q7200396.
- Plackett–Burman_design sameAs Q7200396.
- Plackett–Burman_design wasDerivedFrom Plackett–Burman_design?oldid=674987330.
- Plackett–Burman_design isPrimaryTopicOf Plackett–Burman_design.