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Construction of Partially Balanced Incomplete Block Designs in Blocks of Size Three Using Cyclic Shifts

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Title: Construction of Partially Balanced Incomplete Block Designs in Blocks of Size Three Using Cyclic Shifts

Authors: Muhammad Jamil, Farrukh Shehzad, Rashid Ahmed, Tassawar Hussain

Journal: Journal Of Statistics

HEC Recognition History
Category From To
Y 2024-10-01 2025-12-31
Y 2023-07-01 2024-09-30
Y 1900-01-01 2005-06-30

Publisher: Government College University, Lahore.

Country: Pakistan

Year: 2017

Volume: 24

Issue: 1

Language: English

Categories
Experimental Statistics (1) Block Designs (10) Analytical Designs (1) Statistics (8857) Design of Experiments (33)

Abstract

Partially Balanced Incomplete Block (PBIB) designs play important role in design of experiments, especially in field experiments where Balanced Incomplete Block Designs required a large number of blocks. In this article, PBIB designs are constructed in blocks of size three using method of cyclic shifts. Some standard properties of a design can be expressed just through the sets of shifts; therefore, this method has an edge over existing methods.

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