A Study on 2-Part Balanced Incomplete Block Design

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Published: Jun 20, 2023
DOI: https://doi.org/10.56919/usci.2223.001
Keywords:
Balanced Incomplete Block Design, Additive Model, ANOVA table, Model Parameters, Orthogonal Design, Adjusted Sum of Squares

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Naziru Muhammad
Department of Statistics, Ahmadu Bello University, Zaria, Kaduna, Nigeria.
https://orcid.org/0000-0003-3991-3096
Dr. Jamilu Garba
Department of Statistics, Ahmadu Bello University, Zaria, Kaduna, Nigeria.
https://orcid.org/0000-0002-1077-358X
Abdulkarim Muhammad
Department of Computer Science, Ahmadu Bello University, Zaria
https://orcid.org/0000-0002-9436-3683

Abstract

Multi-part Balanced Incomplete Block Designs is a combination of many orthogonal balanced incomplete block designs in the same block. The design has been used to study cancer trials with medical centers as blocks. Various design layouts has been constructed for a restricted number of cancer types and drugs. However, parameter estimation, hypothesis testing, and model building for the constructed design layouts have not being considered. Based on the foregoing, we proposed additive model for the design (2-part Balanced Incomplete Block Designs) and estimated its parameters using the least square method. The parameter estimation precipitated to the formation of ANOVA table which paved way for the hypothesis testing procedure.

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How to Cite
Muhammad, N., Garba, J., & Abdulkarim Muhammad. (2023). A Study on 2-Part Balanced Incomplete Block Design. UMYU Scientifica, 2(2), 001–006. https://doi.org/10.56919/usci.2223.001
Issue
Vol. 2 No. 2 (2023): UMYU Scientifica, Volume 2, Issue 2, 2023
Section
Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

References

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