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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 24, 1992 - Issue 4
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Computer Programs

Computation of Owen's Q Function Applied to Process Capability Analysis

Georges H. GuirguisSAS Institute Inc., Cary, North Carolina27513-8000View further author information
&
Robert N. RodriguezSAS Institute Inc., Cary, North Carolina27513-8000View further author information
Pages 236-246 | Published online: 21 Feb 2018

References

  • Bissell, A. F. (1990). “How Reliable is Your Capability Index?”. Applied Statistics 39, pp. 331–340.
  • Chou, Y. and Owen, D. B. (1984). “One-Sided Confidence Regions on the Upper and Lower Tail Areas of the Normal Distribution”. Journal of Quality Technology 16, pp. 150–158.
  • Chou, Y. and Owen, D. B. (1989). “On the Distribution of the Estimated Process Capability Indices”. Communications in Statistics—Theory and Methods 18, pp. 4549–4560.
  • Chou, Y.; Owen, D. B.; and Borrego, S. A. (1990). “Lower Confidence Limits on Process Capability Indices”. Journal of Quality Technology 22, pp. 223–229.
  • Craig, R. J. (1984). “Normal Family Distribution Functions: FORTRAN and BASIC Programs”. Journal of Quality Technology 16, pp. 232–236.
  • Franklin, L. A. and Wasserman, G. S. (1992a). “A Note on the Conservative Nature of the Tables of Lower Confidence Limits for Cpk With a Suggested Correction”. Communications in Statistics-Simulation and Computation, to appear.
  • Franklin, L. A. and Wasserman, G. S. (1992b). “Bootstrap Lower Confidence Limits for Capability Indices”. Journal of Quality Technology 24, pp. 196–210.
  • Kotz, S.; Pearn, W. L.; and Johnson, N. L. (1993). “Some Process Capability Indicators Are More Reliable Than One Might Think (A Comment on Bissell (1990))”. Applied Statistics, to appear.
  • Kushler, R. H. and Hurley, P. (1992). “Confidence Bounds for Capability Indices”. Journal of Quality Technology 24, pp. 188–195.
  • Owen, D. B. (1965). “A special case of a bivariate non-central (t-distribution”. Biometrika 52, pp. 437–446.
  • Pearn, W. L.; Kotz, S.; and Johnson, N. L. (1992). “Distributional and Inferential Properties of Process Capability Indices”. Journal of Quality Technology 24, pp. 216–231.
  • Sikorsky, K. (1982). “Optimal Quadrature Algorithms in Hp Spaces”. Numerische Mathematik 39, pp. 405–410.
  • Sikorsky, K. and Stenger, F. (1984). “Optimal Quadratures in Hp spaces”. ACM Transactions on Mathematical Software 10, pp. 140–151.
  • Stenger, F. (1973a). “Integration Formulas Based on the Trapezoidal Formula”. Journal of the Institute of Mathematics and its Applications 12, pp. 103–114.
  • Stenger, F. (1973b). “Remarks on Integration Formulas Based on the Trapezoidal Formula”. Journal of the Institute of Mathematics and its Applications 19, pp. 145–147.
  • Stenger, F. (1978). “Optimal Convergence of Minimum Norm Approximations in Hp”. Numerische Mathematik 29, pp. 345–362.
  • Wasserman, G. S.; Mohsen, H. A.; and Franklin, L. A. (1991). “A Program to Calculate Bootstrap Confidence Intervals for the Process Capability Index, Cpk”. Communications in Statistics-Simulation and Computation 20, pp. 497–510.
  • Zhang, N. F.; Stenback, G. A.; and Wardrop, D. M. (1990). “Interval Estimation of Process Capability Index Cpk”. Communications in Statistics—Theory and Methods 19, pp. 4455–4470.

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