Distributional and Inferential Properties of Process Capability Indices

References

• Beazley, C. E. and Marcucci, M. D. (1988). “Capability Indices: Process Performance Measures”. ASQC Quality Congress Transactions, pp. 516–523.
   Google Scholar
• Bissell, A. F. (1990). “How Reliable is Your Capability Index?”. Applied Statistics 39, pp. 331–340.
   Web of Science ®Google Scholar
• Boyles, R. A. (1991). “The Taguchi Capability Index”. Journal of Quality Technology 23, pp. 107–126.
   Web of Science ®Google Scholar
• Carr, W. E. (1991). “A New Process Capability Index: Parts per Million”. Quality Progress 24, p. 152.
   Google Scholar
• Chan, L. K.; Cheng, S. W.; and Spiring, F. A. (1988a). “A New Measure of Process Capability: Cpm”. Journal of Quality Technology 30, pp. 162–175.
   Web of Science ®Google Scholar
• Chan, L. K.; Cheng, S. W.; and Spiring, F. A. (1988b). “A Graphical Technique for Process Capability”. ASQC Quality Congress Transactions, pp. 268–278.
   Google Scholar
• Chan, L. K.; Cheng, S. W.; and Spiring, F. A. (1988c). “The Robustness of the Process Capability Index, Cp, to Departures from Normality”. In: Statistical Theory and Data Analysis II. (K. Matusita, ed.). North Holland, Amsterdam, The Netherlands. pp. 223–239.
   Google Scholar
• Chan, L. K.; Cheng, S. W.; and Spiring, F. A. (1991). “A Multivariate Measure of Process Capability”. Journal of Modeling and Simulation 11, pp. 1–6.
   Google Scholar
• Cheng, S. W. and Spiring, F. A. (1989). “Assessing Process Capability: A Bayesian Approach”. IEE Transactions 21, pp. 97–98.
   Web of Science ®Google Scholar
• Clements, J. A. (1989). “Process Capability Calculations for Non Normal Distributions”. Quality Progress 22, pp. 98–100.
   Google Scholar
• Guenther, W. H. (1985). “Two-sided Distribution-Free Tolerance Intervals and Accompanying Sample Size Problems”. Journal of Quality Technology 17, pp. 40–43.
   Web of Science ®Google Scholar
• Haight, F. (1966). Handbook of the Poisson Distribution. John Wiley & Sons. New York, NY.
   Google Scholar
• Herman, J. T. (1989). “Capability Index-Enough for Process Industries?” ASQC Quality Congress Transactions, pp. 670–675.
   Google Scholar
• Hsiang, T. C. and Taguchi, G. (1985). “A Tutorial on Quality Control and Assurance—The Taguchi Methods”. ASA Annual Meeting. Los Vegas, NV.
   Google Scholar
• Johnson, N. L. (1968) Tables of Percentage Points of Noncentral Chisquare Distributions. Mimeo Series No. 568. Institute of Statistics, University of North Carolina, Chapel Hill, NC.
   Google Scholar
• Johnson, N. L. and Kotz, S. (1970). Distributions in Statistics: Continuous Univariate Distributions—2. John Wiley & Sons, New York, NY.
   Google Scholar
• Johnson, N. L. and Pearson, E. S. (1969). “Tables of Percentage Points of Noncentral χ”. Biometrika 56, pp. 255–272.
   Web of Science ®Google Scholar
• Juran, J. M., Ed. (1974). Quality Control Handbook, 3rd ed. McGraw-Hill, New York, NY.
   Google Scholar
• Kane, V. E. (1986). “Process Capability Indices”. Journal of Quality Technology 18, pp. 41–52. (Corrigenda p. 260).
   Web of Science ®Google Scholar
• Kotz, S.; Johnson, N. L.; and Read, C. B. (Eds.) (1988) “Statistical Differentials, Method of”. Encyclopedia of Statistical Sciences 8, pp. 646–647.
   Google Scholar
• Kotz, S.; Pearn, W.; 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.
   Google Scholar
• Leone, F. C.; Nelson, L. S.; and Nottingham, R. B. (1961). “The Folded Normal Distribution”. Technometrics 3, pp. 543–550.
   Web of Science ®Google Scholar
• Patnaik, P. B. (1949). “The Non-central χ2 and F-distributions and Their Applications”. Biometrika 62, pp. 202–232.
   Google Scholar
• Pearson, E. S. and Tukey, J. W. (1965). “Approximate Means and Standard Deviations Based on Distances Between Percentage Points of Frequency Curves”. Biometrika 62, pp. 533–546.
   Google Scholar
• 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.
   Web of Science ®Google Scholar