Abstract
Analysis of direct product (DP) of a number of fractional factorial designs (unblocked) has been presented in brief to show that the estimates of the parameters of the new design can be expressed as a suitable (asterisk) product of the estimates of the parameters of the component designs. It has also been proved that the analysis of symbolic product (SP) of the fractional designs (unblocked) can be translated into that of their direct product using pseuofactors. Also using the above results the Rao's lower bound for the number of level combinations has been improved for a class of orthogonal arrays.
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