Date of Award


Degree Name

Doctor of Philosophy



First Advisor

Dr. Jung-Chao Wang

Second Advisor

Dr. Gerald L. Sievers

Third Advisor

Dr. Michael R. Stoline

Fourth Advisor

Dr. Steven E. Butt


This study presents a new graphical method to identify significant effects in factorial experiments. The proposed methods are obtained for the different cases in which the design can be of full factorial or fractional factorial and the factor levels can be pure or mixed.

We focus on the different decomposition methods, for example orthogonal components system and orthogonal contrast method, to make use of the chisquare plot which requires that the sums of squares are of the same degrees of freedom. Examples and simulations illustrating the different cases of the procedure are presented.

Access Setting

Dissertation-Open Access