Orthogonal main-effect plan with $\frac{S^n-1}{S-1}$ factors in $S^n$ runs arranged in mutually exclusive sub-groups

 

R.N. Shil and M.N. Das (1985). Orthogonal main-effect plan with $\frac{S^n-1}{S-1}$ factors in $S^n$ runs arranged in mutually exclusive sub-groups. Journal of Statistical Research, Vol. 19, No. 1-2, pp.  ??-??.

 

Abstract

This investigation gives an alternative method of getting orthogonal main-effect plans of the usual type in $ s^n $ runs in which we can subdivide the $ s^n $ treatment combinations of n (even number) factors each at s-levels into the required number of mutually exclusive subgroups of treatment combinations barring the control treatment combination. Such mutually exclusive sub-groups of treatment combinations are utilized in an earlier communication to get some other orthogonal main-effect plans of both symmetrical and asymmetrical factorial experiments.

 

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