Multifactor Balanced Asymmetrical Factorial Designs


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Authors

  • N. J. Wanyoike School of Technology, KCA University, Nairobi, Kenya
  • Guangzhou Chen School of Mathematics and Information Science, Henan Normal University, Xinxiang, People's Republic of China

Keywords:

balanced arrays, orthogonal arrays, effiecient BAFD's, designs, balance, orthogonal factorial structure

Abstract

This manuscript gives methods of constructing Multifactor Balanced Asymmetrical Factorial Designs (MBAFD'S). Multi-factor BAFDS are constructed from two factor BAFDS. Two methods of construction are given. The first method is the product of balanced arrays which is similar to the product of orthogonal arrays defined by [5]. The second method was given by [36] which generates a BAFD from two given BAFD's. These methods can provide efficient BAFD's if efficient two factor BAFD's are used. The designs constructed are balanced with orthogonal factorial structure.

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Published

21-06-2025

How to Cite

N. J. Wanyoike, & Guangzhou Chen. (2025). Multifactor Balanced Asymmetrical Factorial Designs. International Journal of Mathematics And Its Applications, 13(2), 91–109. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1575

Issue

Vol. 13 No. 2 (2025)

Section

Research Article

License

Copyright (c) 2025 International Journal of Mathematics And its Applications

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