Title page for ETD etd-09082012-040134


Type of Document Master's Thesis
Author Hall, Deborah A.
URN etd-09082012-040134
Title A comparison of alternative methods to the shewhart-type control chart
Degree Master of Science
Department Industrial Engineering and Operations Research
Advisory Committee
Advisor Name Title
Nachlas, Joel A. Committee Chair
Koelling, Charles Patrick Committee Member
Reynolds, Marion R. Jr. Committee Member
Keywords
  • Quality control
Date of Defense 1989-01-05
Availability restricted
Abstract

A control chart that simultaneously tracks the mean and variance of a normally distributed variable with no compensation effect is defined in this work. This joint control chart is compared to five other charts: an Χ chart, an s2 chart, a Reynolds and Ghosh chart, a Repko process capability plot, and a t-statistic chart. The criterion for comparison is the probability of a Type II sampling error. Several out-of-control cases are examined. In the case of Repko, an equation is defined to compute the Type II error probability. The results indicate that the Reynolds and Ghosh statistic is powerful for cases when the variance shifts out of control. The Χ chart is powerful when the mean shifts with moderate changes in the variance. The joint chart is powerful for moderate changes in the mean and variance.

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