Q: I have a question that is related to comparison studies done on incoming inspections.
My organization has a process for which it receives a “tailgate” sample from a supplier and then compares that data with three samples of the next three shipments to “qualify” them. The reason behind this comparison is to determine if the production process of the vendor has changed significantly from the “tailgate” sample, or if they picked the best of the best for the “tailgate.”
It seems a student’s t-test for comparing two means might be a simple and quick evaluation, but I believe an ANOVA might in order for the various characteristics measured (there are multiple).
Can an expert provide some statistician advice to help me move forward in determining an effective solution?
A: Assuming the data is continuous, ANOVA (or MANOVA for multiple responses) should be employed. Since the tailgate sample is a control, Dunnett’s multiple comparison test should be used if the p-value from ANOVA is less than 0.05. If the data is discrete (pass/fail), then comparing the lots would require the use of a chi-square test.
Secretary, U.S. TAG to ISO/TC 69
Principal Statistician, BD
Q: I am looking for research articles or review papers on Design of experiments (DOE) specially focused on Response surface methods, Split Plot designs, MANOVA, and Repeated measures designs and analysis. Any help to locate these articles will be greatly appreciated.
A: Thank you for contacting ASQ and the Quality Information Center. I received your request for articles on the topic of Design of experiments (DOE). Design of experiments is defined as “a method for carrying out carefully planned experiments on a process. By using a prescribed plan for the set of experiments and analyzing the data according to certain procedures, a great deal of information can be obtained from a minimum number of experiments” (from The Quality Toolbox, 2nd Ed. by Nancy R. Tague, Quality Press, 2005).
I searched the ASQ Knowledge Center for articles that focus on the specific areas you mentioned you were interested in. I pulled some articles from my search results and have listed them below. I have also included a link to the full search results so that you can take a look at all of the articles I found.
Response Surface Methods articles (Here is the link to the search results I received):
- “Response Surface Methodology: A Retrospective and Literature Survey“, Journal of Quality Technology, Jan. 2004
- “For Starbucks, It’s in the Bag: How the java giant fine-tuned its sealing process and improved product quality“, Quality Progress, March 2011
- “Response Surface Methodology in Biotechnology“, Quality Engineering, April 2010
- “I-Optimal Versus D-Optimal Split-Plot Response Surface Designs“, Journal of Quality Technology, April 2012
- “Fractional Box-Behnken Designs for One-Step Response Surface Methodology“, Journal of Quality Technology, Oct. 2011
Split Plot Designs: (Full search results)
MANOVA: (Full search results)
Repeated Measures designs and analysis: (Full search results)
I hope that this information is helpful. Please let me know if you have any questions or if you need additional assistance.
ASQ Research Librarian