Multivariate Tolerance Regions and F-Tests

References

• Alt, F. B. (1984). “Multivariate Quality Control.” Encyclopedia of Statistical Sciences, Kotz, S. and Johnson, N. L., Eds., John Wiley and Sons, Inc., New York, NY.
   Google Scholar
• Canavos, G. and Koutrouvelis, I. (1984). “The Robustness of Two-Sided Tolerance Limits for Normal Distributions. “Journal of Quality Technology 16, pp. 144–149.
   Web of Science ®Google Scholar
• Efron, B. (1982). The Jackknife, the Bootstrap and Other Resampling Plans. Regional Conference Series in Applied Mathematics sponsored by C.B.M.S.-National Science Foundation, Society for Industrial and Applied Mathematics.
   Google Scholar
• Eisenhart, C.; Hastay, M.; and Wallis, W., Eds. (1947). Techniques of Statistical Analysis for Scientific and Industrial Research and Production and Management Engineering McGraw-Hill, New York, NY.
   Google Scholar
• Fuchs, C. and Cohen, E. (1985). “The Statistical Properties of a Stepwise Procedure for Testing the Purity of Fruit Juice.” Zeitschrift fuer Lebensmittel Untersuchung und-Forschung, pp. 374–378.
   Google Scholar
• Geller-Bernstein, C.; Weisglass, L.; Keret, N.; Dun, R.; Kenett, R.; Bejerano, A.; Lahav, M.; and Sela, M. (1984a). “Survey of Immunoglobulin E Levels in Atopic Families in Israel.” Israel Journal of Medical Sciences 20, pp. 1133–1137.
   PubMedGoogle Scholar
• Geller-Bernstein, C.; Kenett, R.; Keret, N.; Bejerano, A.; Reichman, B.; Tsur, S.; Lahav, M.; and Sela, M. (1984b). “Survey of Immunoglobulin Levels in Atopic Families.” Asian Pacific Journal of Allergy and Immunology 2, pp. 181–185.
   PubMed Web of Science ®Google Scholar
• Hald, A. (1962). Statistical Theory with Engineering Applications John Wiley and Sons, Inc., New York, NY.
   Google Scholar
• Hall, I. and Sheldon, D. (1979). “Improved Bivariate Normal Tolerance Regions With Some Applications.” Journal of Quality Technology 11, pp. 13–19.
   Web of Science ®Google Scholar
• Holford-Strevens, P.; Wong, C.; and Manfreda, J. (1984). “Serum Total Immunoglobulin E levels in Canadian Adults.” Journal of Allergy and Clinical Immunology 73, pp. 516–522.
   PubMed Web of Science ®Google Scholar
• Jackson, J. E. (1959). “Quality Control Methods for Several Related Variables.” Technometrics 1, pp. 359–377.
   Google Scholar
• Jackson, J. E. (1982). “Multivariate Quality Control.” Communications in Statistics: Theory & Methods 14, pp. 2657–2688.
   Web of Science ®Google Scholar
• John, S. (1962). “A Tolerance Region for Multivariate Normal Distributions.” Sankhya, Series A, pp. 363–368.
   Google Scholar
• Leurgans, S. (1980). “Evaluating Laboratory Measurement Techniques.” Biostatistics Casebook, Miller, R. G. Jr.; Efron, B.; Brown, B. W. Jr.; and Moses, L. E., Eds. John Wiley and Sons, Inc., New York, NY.
   Google Scholar
• Lifshitz, A.; Stepak, Y.; and Brown, M. (1974). “Methods for Testing the Purity of Israeli Citrus Juices.” Journal-Association of Official Analytic Chemists 57, p. 1169.
   Google Scholar
• Ooghe, W. and de Waele, A. (1982). “Amino Acid Norms Applied for Detection of Dilution and Adulteration of Fruit Juices.” Fluessiges Obst 49, p. 618.
   Google Scholar
• Richard, J. and Coursin, D. (1979). “Anwendung von Methoden der Informatik auf die Begutachtung von Fruchtsaften—Anwendung auf Orangesoft.” Fluessiges Obst 46, p. 263.
   Google Scholar
• Schatzki, T. and Vandercook, C. (1978). “Nonparametric Methods for Detecting Adulteration of Concentrated Orange Juice for Manufacturing.” Journal-Association of Official Analytic Chemists 61, p. 911.
   PubMedGoogle Scholar
• Siotani, M. (1964). “Tolerance Regions for a Multivariate Normal Population.” Annals of Institute of Statistical Mathematics 16, pp. 135–153.
   Web of Science ®Google Scholar
• Vandercook, T.; Navarro, J.; Smolensky, D.; Nelson, D.; and Park, G. (1983). “Statistical Evaluation of Data for Detecting Adulteration of California Navel Orange Juice.” Journal of Food Science 48, p. 636.
   Web of Science ®Google Scholar
• Wald, A. and Wolfowitz, J. (1946). “Tolerance Limits for a Normal Distribution.” Annals of Mathematical Statistics 17, pp. 208–215.
   Google Scholar
• Wilks, S. (1941). “Determination of Sample Sizes for Setting Tolerance Limits.” Annals of Mathematical Statistics 12, pp. 91–96.
   Google Scholar