On the Efficiency of Some Selected Designs: A Case of Randomized Block Designs

On the Efficiency of Some Selected Designs: A Case of Randomized Block Designs

Eze, C. M.

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Asogwa

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O. C.

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Eze

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C. M.

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University of Nigeria

On the Efficiency of Some Selected Designs: A Case of Randomized Block Designs

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Abstract

This work examines the Relative Efficiency (𝑅𝑅𝑅𝑅) of some selected Randomized Complete Block Designs (𝑅𝑅𝑅𝑅𝑅𝑅𝑅𝑅).The efficiency of the selected designs showed that design 𝑅𝑅 was the most preferable having Mean Square Error of 6.14, followed by design 𝑅𝑅 with Mean Square Error of 9.11 and design 𝐴𝐴 with Mean Square Error of 18.08. The results from the pairwise relative efficiency of the selected designs show that 𝑅𝑅𝑅𝑅(𝑅𝑅, 𝐴𝐴) = 0.34 with the smallest relative efficiency value and 𝑅𝑅𝑅𝑅(𝐴𝐴, 𝑅𝑅) = 2.94 with the largest relative efficiency value. We recommended design 𝑅𝑅 as the best design for this particular problem since its mean square error remains the smallest.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Eze, C. M.. 2018. \u201cOn the Efficiency of Some Selected Designs: A Case of Randomized Block Designs\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F2): .

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GJSFR Volume 18 Issue F2
Pg. 33- 39

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification: MSC 2010: 13P25

Submission ReceivedJanuary 16, 2018
Peer Review Double Blind
Handling Editor
Accepted February 7, 2018
Published February 20, 2018

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v1.2

Issue date

March 5, 2018

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Article Matrices

Total Score: 104

Country: Nigeria

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Asogwa, O. C., Eze, C. M. (PhD/Dr. count: 0)

View Count (all-time): 173

Total Views (Real + Logic): 3300

Total Downloads (simulated): 1662

Publish Date: 2018 03, Mon

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Total Views: 3300

Total Downloads: 1662

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