On finding trend-free block designs

Win Chin Lin, John Stufken

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We introduce and discuss a new algorithm to convert a given binary block design, if possible, into a linear trend-free block design. The only permissible operation in attempting this conversion is that of reallocating treatments to plots within blocks; the treatment-block incidence structure is not allowed to be changed. We discuss an extension of the algorithm to cases where the trend is thought to be of a higher degree, and establish a relation between the algorithm and the optimal assignment problem, a well-known problem in operations research.

Original languageEnglish (US)
Pages (from-to)57-70
Number of pages14
JournalJournal of Statistical Planning and Inference
Volume78
Issue number1-2
DOIs
StatePublished - May 1999

Keywords

  • Optimal assignment problem
  • Search algorithm
  • Time or spatial trends
  • Trend-free designs

ASJC Scopus subject areas

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

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