Construction of minimal circular balanced and partially balanced repeated measurements designs using cyclic shifts Rule I and II for the same v even

The use of minimal circular balanced RMDs (MCBRMDs) economically control carryover effects. Method of cyclic shifts (Rule I) produces MCBRMDs only for v odd, where v is the number of treatments to be compared. For v even, Rule I generates minimal circular partially balanced RMDs (MCPBRMDs) while Rule II may produce these designs for v integer. Using Rule I, MCPBRMDs are constructed in this article for v even in equal, two different, and three different period sizes. MCPBRMDs and MCBRMDs are also constructed for the same v using Rule II. The efficiency of separability (Es) and carryover effects (Er) for the same v are then used to compare these Rules of construction. Researchers and experimenters can use this comparison to determine which design to use and with which Rule it should be constructed.

Authors

Institutions

Publication Details

Journal
Communications in Statistics - Simulation and Computation
Published
2026-08-13
DOI
https://doi.org/10.1080/03610918.2026.2716272
Primary Topic
Optimal Experimental Design Methods
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Construction of minimal circular balanced and partially balanced repeated measurements designs using cyclic shifts Rule I and II for the same v even

Muhammad Ameeq, Rashid Ahmed, Akbar Fardos, Rida Jabeen et al.
Communications in Statistics - Simulation and Computation
Optimal Experimental Design Methods
article

Construction of minimal circular balanced and partially balanced repeated measurements designs using cyclic shifts Rule I and II for the same v even

Muhammad Ameeq, Rashid Ahmed, Akbar Fardos, Rida Jabeen, Muhamad Ejaz Malik
article en

Abstract

The use of minimal circular balanced RMDs (MCBRMDs) economically control carryover effects. Method of cyclic shifts (Rule I) produces MCBRMDs only for v odd, where v is the number of treatments to be compared. For v even, Rule I generates minimal circular partially balanced RMDs (MCPBRMDs) while Rule II may produce these designs for v integer. Using Rule I, MCPBRMDs are constructed in this article for v even in equal, two different, and three different period sizes. MCPBRMDs and MCBRMDs are also constructed for the same v using Rule II. The efficiency of separability (Es) and carryover effects (Er) for the same v are then used to compare these Rules of construction. Researchers and experimenters can use this comparison to determine which design to use and with which Rule it should be constructed.

Communications in Statistics - Simulation and Computation
Islamia University of Bahawalpur (PK), Phillips Exeter Academy (US)
Openalex Percentile: Top 5%
Optimal Experimental Design Methods
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.