International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

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 Volume 9, Issue 9 (September 2022), Pages: 158-167

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 Original Research Paper

 Comparisons of Bayes factors for 𝟐𝟒 full, fractional, and reduced factorial designs

 Author(s): R. Vijayaragunathan 1, *, M. R. Srinivasan 2

 Affiliation(s):

 1Department of Statistics, Indira Gandhi College of Arts and Science, Puducherry, India
 2School of Mathematics and Statistics, University of Hyderabad, Hyderabad, India

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0001-7924-7484

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2022.09.020

 Abstract:

The effect of factors in full and fractional factorial designs is being studied ubiquitously in all fields of science and engineering. At times, researchers would want to gather additional information than the fractional factorial design provided, there is no restriction to conducting more experimental runs. In this study, we propose a reduced fractional factorial design consisting of all significant factors. This paper illustrates the effectiveness of factors through real data application and simulation by comparing the full factorial, reduced factorial, and fractional factorial designs. The actual weightage of the main/interaction effects in these three designs was found by identifying and quantifying the Bayes factors through the simulation datasets. It is observed that the reduced factorial design produces better results when there are no constraints to select or add factors to the model.

 © 2022 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Bayes factors, Full factorial design, Fractional factorial design, Reduced factorial design, Simulation

 Article History: Received 10 March 2022, Received in revised form 13 June 2022, Accepted 20 June 2022

 Acknowledgment 

The authors would like to thank the editor and the reviewers for their constructive comments and suggestions which highly improved the paper.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Vijayaragunathan R and Srinivasan MR (2022). Comparisons of Bayes factors for 24 full, fractional, and reduced factorial designs. International Journal of Advanced and Applied Sciences, 9(9): 158-167

 Permanent Link to this page

 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4

 Tables

 Table 1 Table 2 Table 3 Table 4 Table 5 Table 6 Table 7 

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