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Document Type

Thesis - University Access Only

Award Date


Degree Name

Master of Science (MS)

Department / School

Mathematics and Statistics

First Advisor

Robert Lacher


This paper will take a deeper look at the four basic process capability indices. It will describe the indices, their estimates, their uses and drawbacks, and, finally, it will attempt to create prediction intervals for future index readings based upon previous readings. Control charting, which does not seem to have been addressed for capability indices in the literature, will be presented. In addition, the process of finding prediction intervals has resulted in some alternate derivations for the confidence limits presented by Chou, Owen, and Borrego, and these derivations will also be discussed.

Library of Congress Subject Headings

Quality control -- Statistical methods
Quality control -- Charts, diagrams, etc
Process control -- Testing
Prediction theory




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