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Some useful classes of minimal weakly balanced neighbor designs in circular blocks of two different sizes

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Listed:
  • Muhammad Rasheed
  • Khadija Noreen
  • Rashid Ahmed
  • M. H. Tahir
  • Farrukh Jamal

Abstract

Neighbor designs (NDs) are used to balance out the neighbor effects. Among these designs, minimal NDs are economical, therefore, these are preferred by experimenters. Unfortunately, minimal NDs cannot be constructed for all combinations of v (number of treatments) and k (block sizes). Minimal weakly balanced NDs (WBNDs) are recommended in the situations where minimal NDs could not be constructed. In this article, some generators are developed to obtain minimal circular WBNDs (MCWBNDs) in blocks of two different sizes. In our proposed designs, 3v/2 unordered pairs of distinct treatments appear twice as neighbors while all other pairs appear once. In these designs, we lose [300/(v−1)]% neighbor balance while saving at least [50(v−4)/(v−1)]% experimental material.

Suggested Citation

  • Muhammad Rasheed & Khadija Noreen & Rashid Ahmed & M. H. Tahir & Farrukh Jamal, 2022. "Some useful classes of minimal weakly balanced neighbor designs in circular blocks of two different sizes," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(24), pages 8822-8839, December.
    • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:24:p:8822-8839
    DOI: 10.1080/03610926.2021.1975135
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