Analyzing Unreplicated Two Level Factorial Designs

<p>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.</p>

Name thesis:degree_name

Master of Science in Mathematics

Level thesis:degree_level

Thesis (restricted to Georgia Southern)

Discipline thesis:degree_discipline

Department of Mathematics

Year dc:date.available

2004

Author dc:creator

• Vora, Minal A.

Contributors dc:contributor

• Broderick O. Oluyede
• Patricia B. Humphrey

• ETD
• Critical values
• Estimated percentiles
• Normal distribution
• Order statistics
• Probability plot
• Mathematics

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd_legacy/38

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd_legacy-1190