Abstract #300058

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JSM 2002 Abstract #300058
Activity Number: 336
Type: Invited
Date/Time: Wednesday, August 14, 2002 : 2:00 PM to 3:50 PM
Sponsor: Section on Physical & Engineering Sciences*
Abstract - #300058
Title: Randomization and Orthogonal Block Structures
Author(s): Rosemary Bailey*+
Affiliation(s): Queen Mary, University of London
Address: Mile End Road, London, International, E1 4NS, UK
Keywords: randomization ; orthogonality ; designed experiment ; anova ; factor
Abstract:

Oscar Kempthorne and his team made big contributions to the theory of randomization and to the theory of factors on a set of experimental units. Why do we randomize, and how should our analysis of the data be affected by our method of randomization? When there are several factors on a set, what relationships between them give us a unique partition of the sum of squares? What I now call "orthogonlal block structures" are sets of factors with good properties of orthogonality. They are more general than the "complete balanced response structures" identified by Kemptthorne's team, but in many ways easier to work with. However, the clear randomization theory for complete balanced response structures does not extend to all orthogonal block structures.

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Revised March 2002