An algorithm coded with R to generate GN2-designs in circular blocks

Javid Shabbir; Jamshaid ul Hassan; Mahmood Ul Hassan; Khadija Noreen; Sajid Hussain; Rashid Ahmed

No Detail Found!

An algorithm coded with R to generate GN2-designs in circular blocks

Author(s)

Javid Shabbir Department of Statistics, University of Wah, Wah Cant, Pakistan

Jamshaid ul Hassan Department of Statistics, The Islamia University of Bahawalpur, Pakistan

Mahmood Ul Hassan Department of Statistics, Stockholm University,Stockholm,Sweden

Khadija Noreen Department of Statistics, The Islamia University of Bahawalpur, Pakistan

Sajid Hussain Department of Statistics, The Islamia University of Bahawalpur, Pakistan

Rashid Ahmed Department of Statistics, The Islamia University of Bahawalpur, Pakistan

Abstract

Minimal neighbor balanced designs are economical, therefore, these are preferred by the experimenters to minimize the bias due to neighbor efects. Minimal circular balanced neighbor designs cannot be constructed for almost every case of v even, where v is number of the treatments to be compared. For v even, the circular GN2-designs in which each treatment appears exactly once as neighbors with all other treatments except the one with which it appears twice, are considered the better alternate to the minimal balanced neighbor designs. In this article, an algorithm is developed to generate the circular GN2-designs for v even which can be converted directly into minimal circular balanced and strongly balanced neighbor designs. This algorithm is also coded with R.

Publication Details

Page(s) 16-27

DOI DOI not available

Published Journal: VFAST Transactions on Mathematics, Volume: 11, Issue: 2, Year: 2023

Request the full text from PASTIC

Keywords

Subject Classification, 05B05, 62K10, 62K05, Generalized neighbor design, Neighbor efect, Economical design, Neighbor balanced designs

Citations

Downloads

Views