New generators for minimal circular generalised neighbour designs in blocks of two different sizes

• Authors: Muhammad Nadeem , Khadija Noreen , H. M. Kashif Rasheed , Rashid Ahmed , Mahmood Ul Hassan

Abstracts

EN

Minimal neighbour designs (NDs) are used when a response of a treatment (direct effect) is affected by the treatment(s) applied in the neighbouring units. Minimal generalised NDs are preferred when minimal NDs cannot be constructed. Through the method of cyclic shifts (Rule I), the conditions for the existence of minimal circular generalised NDs are discussed, in which v/2 unordered pairs do not appear as neighbours. Certain generators are also developed to obtain minimal circular generalised NDs in blocks of two different sizes, where k2 = 3, 4 and 5. All these designs are constructed using i sets of shifts for k1 and two for k2.

Keywords

EN

direct effects; neighbour effects; method of cyclic shifts; generalised NDs; GN2-designs

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2023
• Volume: 24
• Issue: 2
• Pages: 85-92

Dates

published

2023

Contributors

author

Muhammad Nadeem

• The Islamia University of Bahawalpur, Department of Statistics, Pakistan

• https://orcid.org/0000000240343564

author

Khadija Noreen

• The Islamia University of Bahawalpur, Department of Statistics, Pakistan

• https://orcid.org/0000000203770030

author

H. M. Kashif Rasheed

• The Islamia University of Bahawalpur, Department of Statistics, Pakistan

• https://orcid.org/0000000259657803

author

Rashid Ahmed

• The Islamia University of Bahawalpur, Department of Statistics, Pakistan

• https://orcid.org/0000000197037296

author

Mahmood Ul Hassan

• Stockholm University, Department of Statistics, Sweden

• https://orcid.org/0000000328890263

References

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Identifiers

DOI

10.59170/stattrans-2023-021

Biblioteka Nauki

14769686