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Books > Science & Mathematics > Mathematics > Probability & statistics
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Cyclic Designs (Paperback, Softcover reprint of the original 1st ed. 1987)
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Cyclic Designs (Paperback, Softcover reprint of the original 1st ed. 1987)
Series: Monographs on Statistics and Applied Probability
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The biggest single influence on the development of the subject of
design of experiments over the past quarter-century has been the
availability of computers. Prior to the computer it was essential
that any design had a straightforward method of analysis, which
meant that the mathematical and combinatorial properties of the
designs were of primary importance. Many of the designs proposed
and studied also possessed important statistical properties and
thus continue to be practically useful but, now that ease of
analysis is less important, a very large number of these designs no
longer have any real value. With the advent ofthe computer it has
become possible to study families of designs which have relatively
simple methods of construction and which provide large numbers of
designs. Within a family, the designs which satisfy certain
desirable statistical, rather than mathematical, properties can
then be identified using a combin ation of theory and computing.
One of the primary aims of this monograph is to study families of
block and row-column designs, both unifactor and multifactor, whose
methods of construction are cyclical in nature; hence the title
Cyclic Designs. The usual practice adopted in books on the design
of experiments is to follow the description of a particular design
by its method of analysis and, possibly, a numerical example.
General
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