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Original Articles

Tolerance Intervals for the Distribution of True Values in the Presence of Measurement Errors

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Pages 162-170 | Published online: 12 Mar 2012

REFERENCES

  • Beckman , R. J. and Tietjen , G. L. 1989 . “Two-Sided Tolerance Limits for Balanced Random-Effects ANOVA Models,” . Technometrics , 31 : 185 – 197 .
  • Eberhardt , K. R. , Mee , R. W. and Reeve , C. P. 1989 . “Computing Factors for Exact Two-Sided Tolerance Limits for a Normal Distribution,” . Communications in Statistics–Simulation and Computation , 18 : 397 – 413 .
  • Elston , R. C. and Grizzle , J. E. 1962 . “Estimation of Time-Response Curves and Their Confidence Bands,” . Biometrics , 18 : 148 – 159 .
  • Graybill , F. A. 1976 . Theory and Application of the Linear Model North Scituate , MA : Duxbury Press. .
  • Grizzle , J. E. and Allen , D. M. 1969 . “Analysis of Growth and Dose Response Curves,” . Biometrics , 25 : 357 – 381 .
  • Hahn , G. J. 1982 . “Removing Measurement Error in Assessing Conformance to Specifications,” . Journal of Quality Technology , 14 : 117 – 121 .
  • Hahn , G. J. and Meeker , W. Q. 1991 . Statistical Intervals New York : John Wiley. .
  • Howe , W. G. 1969 . “Two-Sided Tolerance Limits for Normal Populations–Some Improvements,” . Journal of the American Statistical Association , 64 : 610 – 620 .
  • IMSL Inc . 1987 . The IMSL Math/Library Houston , TX : Author. .
  • Jaech , J. L. 1984 . “Removing the Effects of Measurement Errors in Constructing Statistical Tolerance Intervals,” . Journal of Quality Technology , 16 : 69 – 73 .
  • Koch , W. F. and Stolz , J. W. 1984 . “Determination of Sulfur in NBS Coals by Ion Chromatography,”. ” . In NBS Special Publication 260–94 1 – 6 . Washington : U.S. Government Printing Office. . U.S. Department of Commerce/National Bureau of Standards
  • Lemon , G. H. 1977 . “Factors for One-Sided Tolerance Limits for Balanced One-Way ANOVA Random-Effects Model,” . Journal of the American Statistical Association , 72 : 676 – 680 .
  • Mee , R. W. 1984a . “Tolerance Limits and Bounds for Proportions Based on Data Subject to Measurement Error,” . Journal of Quality Technology , 16 : 74 – 80 .
  • Mee , R. W. 1984b . “β-Expectation and β-Content Tolerance Limits for Balanced One-Way ANOVA Random Model,” . Technometrics , 26 : 251 – 254 .
  • Mee , R. W. and Owen , D. B. 1983 . “Improved Factors for One-Sided Tolerance Limits for Balanced One-Way ANOVA Random Model,” . Journal of the American Statistical Association , 78 : 901 – 905 .
  • Odeh , R. E. and Owen , D. B. 1980 . Tables for Normal Tolerance Limits, Sampling Plans, and Screening New York : Marcel Dekker. .
  • Satterthwaite , F. E. 1946 . “An Approximate Distribution of Estimates of Variance Components,” . Biometrics Bulletin , 2 : 110 – 114 .
  • Vangel , M. G. 1992 . “New Methods for One-Sided Tolerance Limits for a One-Way Balanced Random-Effects ANOVA Model,” . Technometrics , 34 : 176 – 186 .
  • Wald , A. 1942 . “Setting of Tolerance Limits When the Sample Is Large,” . The Annals of Mathematical Statistics , 13 : 389 – 399 .
  • Wald , A. 1943 . “An Extension of Wilks’ Method for Setting Tolerance Limits,” . The Annals of Mathematical Statistics , 14 : 45 – 55 .
  • Wald , A. and Wolfowitz , J. 1946 . “Tolerance Limits for a Normal Distribution,” . The Annals of Mathematical Statistics , 17 : 208 – 215 .
  • Wang , C. M. 1988 . “β-Expectation Tolerance Limits for Balanced One-Way Random-Effects Model,”. ” . In Probability and Statistics: Essays in Honor of Franklin A. Gray bill Edited by: Srivastava , J. N. 285 – 295 . Amsterdam : North-Holland. .
  • Wang , C. M. 1990 . “On the Lower Bound of Confidence Coefficients for a Confidence Interval on Variance Components,” . Biometrics , 46 : 187 – 192 .
  • Wilks , S. S. 1941 . “Determination of Sample Sizes for Setting Tolerance Limits,” . The Annals of Mathematical Statistics , 12 : 91 – 96 .
  • Wilks , S. S. 1942 . “Statistical Prediction With Special Reference to the Problem of Tolerance Limits,” . The Annals of Mathematical Statistics , 13 : 400 – 409 .

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