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Original Articles

On a Comparison of the Efficacy of Various Approximations of the Critical Values for Tests on the Process Capability Indices CPL, CPU, and Cpk

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Pages 1249-1264 | Published online: 15 Feb 2007

References

  • Akahira , M. 1995 . A higher order approximation to a percentage point of the noncentral t distribution . Communications in Statistics—Simulation and Computation , 24 ( 3 ) : 595 – 605 .
  • Bagui , S. C. 1993 . CRC Handbook of Percentiles of Noncentral t Distributions CRS Press .
  • Chattamvelli , R. and Shanmugam , R. 1994 . An enhanced algorithm for noncentral t distribution . Journal of Statistical Computation and Simulation , 49 : 77 – 83 .
  • Chou , Y. M. and Owen , D. B. 1989 . On the distributions of the estimated process capability indices . Communications in Statistics—Theory and Methods , 18 ( 12 ) : 4549 – 4560 .
  • Chou , Y. M. and Polansky , A. 1993 . Power of tests for some process capability indices . Communications in Statistics—Simulation and Computation , 22 ( 2 ) : 523 – 544 .
  • Cooper , B. E. 1968 . Algorithm AS-5. The normal integral; the integral of Student's t distribution; an auxiliary function for distribution integrals; the integral of the noncentral t distribution . Applied Statistics , 17 : 186 – 194 .
  • Jennett , W. J. and Welch , B. L. 1939 . The control of proportion defective as judged by a single quality characteristic varying on a continuous scale . Journal of the Royal Statistical Society, Series B , 6 : 80 – 88 .
  • Johnson , N. L. , Kotz , S. and Balakrishnan , N. 1995 . Continuous Univariate Distributions Vol. 2. , Wiley .
  • Johnson , N. L. and Welch , B. L. 1940 . Applications of the noncentral t distribution . Biometrika , 31 : 362 – 389 .
  • Kane , V. E. 1986 . Process capability indices . Journal of Quality Technology , 18 ( 1 ) : 41 – 52 . (Corrigenda 18(4):265)
  • Kotz , S. and Johnson , N. L. 1993 . Process Capability Indices Chapman and Hall .
  • Kotz , S. and Johnson , N. L. 2002 . Process capability indices—a review, 1992–2000 . Journal of Quality Technology , 34 ( 1 ) : 2 – 19 .
  • Kotz , S. and Lovelace , C. R. 1998 . Process Capability Indices in Theory and Practice Arnold .
  • Lenth , R. V. 1989 . Cumulative distribution function of the noncentral t distribution. Algorithm AS 243 . Applied Statistics , 38 : 185 – 189 .
  • Montgomery , D. C. Introduction to Statistical Quality Control Wiley .
  • Owen , D. B. 1968 . A survey of properties and applications of the noncentral t distribution . Technometrics , 10 : 445 – 478 .
  • Resnikoff , G. J. and Lieberman , G. J. 1957 . Tables of the NonCentral t Distribution Stanford University Press .
  • van Eeden , C. 1958 . Some approximations to the percentage points of the noncentral t distribution . Report S242 . 1958 , Amsterdams. Statistics Department, Mathematics Center .
  • van Eeden , C. 1961 . Some approximations to the percentage points of the noncentral t distribution . Revue de l’ Institut International de Statistique , 29 : 4 – 31 .

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