Open AccessAn Alternative Method of Construction and Analysis of Asymmetrical Factorial Experiment of the type 6x2<sup>2</sup> in Blocks of Size 12
Author(s) -
Dipa Rani Das,
Sanjib Kumar Ghosh
Publication year - 2018
Publication title -
the chittagong university journal of science
Language(s) - English
Resource type - Journals
ISSN - 1561-1167
DOI - 10.3329/cujs.v40i1.47920
Subject(s) - factorial experiment , factorial , mathematics , main effect , fraction (chemistry) , interaction , statistics , block (permutation group theory) , type (biology) , variance (accounting) , factorial analysis , analysis of variance , combinatorics , chemistry , mathematical analysis , chromatography , ecology , accounting , business , biology
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