Title page for ETD etd-111897-131641

Type of Document Master's Thesis
Author Rehmert, Ian Jon
Author's Email Address irehmert@vt.edu
URN etd-111897-131641
Title A Performance Analysis of the Minimax Multivariate Quality Control Chart
Degree Master of Science
Department Industrial and Systems Engineering
Advisory Committee
Advisor Name Title
Nachlas, Joel A. Committee Chair
Koelling, Charles Patrick Committee Member
Schmidt, J. William Committee Member
  • Multivariate Quality Control
  • Multivariate Control Chart
  • Average Run Length
Date of Defense 1997-09-18
Availability unrestricted
A performance analysis of three different Minimax control

charts is performed with respect to their Chi-Square control

chart counterparts under several different conditions. A

unique control chart must be constructed for each process

described by a unique combination of quality characteristic

mean vector and associated covariance matrix. The three

different charts under consideration differ in the number of

quality characteristic variables of concern. In each case,

without loss of generality the in-control quality

characteristic mean vector is assumed to have zero entries

and the associated covariance matrix is assumed to have

non-negative entries. The performance of the Chi-Square and

Minimax charts are compared under different values of the

sample size, the probability of a Type I error, and selected

shifts in the quality characteristic mean vector. Minimax

and Chi-Square charts that are compared share identical

in-control average run lengths (ARL) making the

out-of-control ARL the appropriate performance measure. A

combined Tausworthe pseudorandom number generator is used to

generate the out-of-control mean vectors. Issues regarding

multivariate uniform pseudorandom number generation are


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