An Improved Method for Generating Factorial Effects and their Treatment Combinations in a Full Symmetric Factorial Designs

Abstract

In factorial experiments the generation of treatment combination is the
beginning of the statistical analysis. Plans presented in standard texts
are not necessarily suitable in most cases. A systematic procedure for
generating treatment combination has been presented by [1] and latter
was extended by [2]. In this research we show an alternative method
using Pascal triangle and lexicographical order to obtain number of
factorial effects and treatment combinations respectively. The new
 procedures save space and time.