On the identity relationships of 2-p designs

Jiahua Chen, Dennis K.J. Lin

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)95-98
Number of pages4
JournalJournal of Statistical Planning and Inference
Volume28
Issue number1
DOIs
StatePublished - May 1991

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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