An Alternative Method of Construction and Analysis of Asymmetrical Factorial Experiment of the type 6x2<sup>2</sup> in Blocks of Size 12

Authors

  • Dipa Rani Das Department of Statistics, Comilla University, Comilla
  • Sanjib Ghosh Department of Statistics, University of Chittagong, Chittagong

DOI:

https://doi.org/10.3329/cujs.v40i1.47920

Keywords:

Asymmetrical Design; Confounding; Replications; Pseudo Factors; Fractionation; and Balanced Design

Abstract

This paper focuses on the construction and analysis of an extra ordinary type of asymmetrical factorial experiment which corresponds to fraction of a symmetrical factorial experiment as indicated by Das (1960). For constructing this design, we have used 3 choices and for each choice we have used 5 different cases. Finding the block contents for each case we have seen that there are mainly two different cases for each choice. In case of analysis of variance, we have seen that, for the case where the highest order interaction effect is confounded in 4 replications, the loss of information is same for all the choices. Again for the case where the highest order interaction effect is confounded in 3 replications, the loss of information is also same for all the choices and one effect which is confounded due to fractionation has the same loss of information for all the choices.

The Chittagong Univ. J. Sci. 40 : 137-150, 2018

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Published

2018-06-28

How to Cite

Das, D. R., & Ghosh, S. (2018). An Alternative Method of Construction and Analysis of Asymmetrical Factorial Experiment of the type 6x2<sup>2</sup> in Blocks of Size 12. The Chittagong University Journal of Science, 40(1), 137–150. https://doi.org/10.3329/cujs.v40i1.47920

Issue

Vol. 40 No. 1 (2018)

Section

Articles

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