Term of Award
Master of Science in Mathematics
Document Type and Release Option
Thesis (restricted to Georgia Southern)
Department of Mathematics
Charles W. Champ
Committee Member 1
Broderick O. Oluyede
Committee Member 2
Patricia B. Humphrey
Normal and half-normal probability plots are often used in analyzing unreplicated two level factorial and fractional factorial designs. Typically no objective method is used with these plots for assessing if a plotted point is associated with a nonzero effect. Firstly, we provide an analysis of the plotting positions used in constructing these plots. Based on the results of our study, we recommend a set of plotting positions to be used with the normal probability plot. We also suggest that these results would apply to half-normal plots and recommend a set of plotting positions to be used with this plot. Secondly, we give a method for selecting critical values so the plot can be used to objectively assess which effects, if any, are nonzero. Some examples are given illustrating the use of our method.
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Vora, Minal A., "Analyzing Unreplicated Two Level Factorial Designs" (2004). Legacy ETDs. 38.