Plackett–Burman designs are experimental designs presented in 1946 by Robin L. Plackett and J. P. Burman while working within the British Ministry of Supply.[1] Their goal was to seek out experimental designs for investigating the dependence of some measured quantity on variety of independent variables (factors), each taking L levels, in such how on minimize the variance of the estimates of those dependencies employing a limited number of experiments. Interactions between the factors were considered negligible. The solution to the present problem is to seek out an experimental design where each combination of levels for any pair of things appears an equivalent number of times, throughout all the experimental runs (refer to table). A complete factorial design would satisfy this criterion, but the thought was to seek out 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 m
atrices). Paley's method might be wont to find such matrices of size N for many N adequate to a multiple of 4. In particular, it worked for all such N up to 100 except N = 92. If N may be a power of two , however, the resulting design is just like a fractional factorial design, so Plackett–Burman designs are mostly used when N may be a multiple of 4 but not an influence of two (i.e. N = 12, 20, 24, 28, 36 …).[3] If one is trying to estimate but N parameters (including the general average), then one simply uses a subset of the columns of the matrix
Research Article: Entrepreneurship & Organization Management
Research Article: Entrepreneurship & Organization Management
Opinion Article: Entrepreneurship & Organization Management
Opinion Article: Entrepreneurship & Organization Management
Research Article: Entrepreneurship & Organization Management
Research Article: Entrepreneurship & Organization Management
Research Article: Entrepreneurship & Organization Management
Research Article: Entrepreneurship & Organization Management
Research Article: Entrepreneurship & Organization Management
Research Article: Entrepreneurship & Organization Management
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