On the identity relationships of 2-p designs

Jiahua Chen; Dennis K.J. Lin

doi:10.1016/0378-3758(91)90062-J

On the identity relationships of 2-p designs

Jiahua Chen, Dennis K.J. Lin

Statistics

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16 Scopus citations

Abstract

Draper and Mitchell (1970) gave an example which showed that two 2^k-p designs with the same word length pattern can be different. The difference was detected via a 'letter pattern comparison' test. These authors went on to conjecture that two designs with equivalent letter pattern matrices are indeed equivalent designs. We show this conjecture is not true by giving an example of two different designs with identical letter pattern matrices. Thus, more effort is needed to construct a complete set of 2^k-p designs.

Original language	English (US)
Pages (from-to)	95-98
Number of pages	4
Journal	Journal of Statistical Planning and Inference
Volume	28
Issue number	1
DOIs	https://doi.org/10.1016/0378-3758(91)90062-J
State	Published - May 1991

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

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10.1016/0378-3758(91)90062-J

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abstract = "Draper and Mitchell (1970) gave an example which showed that two 2k-p designs with the same word length pattern can be different. The difference was detected via a 'letter pattern comparison' test. These authors went on to conjecture that two designs with equivalent letter pattern matrices are indeed equivalent designs. We show this conjecture is not true by giving an example of two different designs with identical letter pattern matrices. Thus, more effort is needed to construct a complete set of 2k-p designs.",

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AB - Draper and Mitchell (1970) gave an example which showed that two 2k-p designs with the same word length pattern can be different. The difference was detected via a 'letter pattern comparison' test. These authors went on to conjecture that two designs with equivalent letter pattern matrices are indeed equivalent designs. We show this conjecture is not true by giving an example of two different designs with identical letter pattern matrices. Thus, more effort is needed to construct a complete set of 2k-p designs.

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On the identity relationships of 2-p designs

Abstract

All Science Journal Classification (ASJC) codes

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