Comparison of Minimal Circular Balanced RMDs Constructed Through Rule I and II of Cyclic Shifts Method

The repeated measurement design (RMD) is a cost-effective research design commonly used in various fields. RMDs have several advantages; however, the carryover effect is a fundamental issue. Carryover effects typically serve as the primary source of bias in the evaluation of treatment efficacy. To reduce this bias, minimal circular balanced RMDs (MCBRMDs) are utilized. Rule I of the cyclic shift method produces MCBRMDs for only the odd v (number of treatments to be compared). Rule II produces these designs for both v odd and v even. This article contributes to the literature by providing a systematic comparison of two cyclic shift rules for constructing MCBRMDs for odd v. The study provides useful guidance to experimenters in choosing effective designs under practical experimental restrictions by comparing these designs using efficiency of carryover effects and separability.

Authors

Institutions

Publication Details

Journal
Stats
Published
2026-03-13
DOI
https://doi.org/10.3390/stats9020029
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

Comparison of Minimal Circular Balanced RMDs Constructed Through Rule I and II of Cyclic Shifts Method

Muhammad Ejaz Malik, Muhammad Ameeq, Mariam Riaz, Rashid Ahmed
Stats
Optimal Experimental Design Methods
article

Comparison of Minimal Circular Balanced RMDs Constructed Through Rule I and II of Cyclic Shifts Method

Muhammad Ejaz Malik, Muhammad Ameeq, Mariam Riaz, Rashid Ahmed
article en

Abstract

The repeated measurement design (RMD) is a cost-effective research design commonly used in various fields. RMDs have several advantages; however, the carryover effect is a fundamental issue. Carryover effects typically serve as the primary source of bias in the evaluation of treatment efficacy. To reduce this bias, minimal circular balanced RMDs (MCBRMDs) are utilized. Rule I of the cyclic shift method produces MCBRMDs for only the odd v (number of treatments to be compared). Rule II produces these designs for both v odd and v even. This article contributes to the literature by providing a systematic comparison of two cyclic shift rules for constructing MCBRMDs for odd v. The study provides useful guidance to experimenters in choosing effective designs under practical experimental restrictions by comparing these designs using efficiency of carryover effects and separability.

StatsVol. 9(2)
Islamia University of Bahawalpur (PK), DHA Suffa University (PK)
Openalex Percentile: Top 28%
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.

Comparison of Minimal Circular Balanced RMDs Constructed Through Rule I and II of Cyclic Shifts Method — Muhammad Ejaz Malik, Muhammad Ameeq, et al. · Stats (2026) | TGRS Research Map | TGRS