The ANOM Procedure

References

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  • Halperin, M., Greenhouse, S. W., Cornfield, J., and Zalokar, J. (1955). “Tables of Percentage Points for the Studentized Maximum Absolute Deviate in Normal Samples.” Journal of the American Statistical Association 50:185–195.

  • Hansen, E. (1990). “Making the 'Complex' Simple.” In Problem-Driven Case Studies in Quality Improvement: Second Annual Symposium, 7.1.1–7.1.21. Madison, WI: Center for Quality and Productivity Improvement, University of Wisconsin.

  • Laplace, P. S. (1827). “Mémoire sur le flux et reflux lunaire atmosphérique.” Connaissance des Temps pour l’An 1830 3–18.

  • Nelson, L. S. (1983). “Exact Critical Values for Use with the Analysis of Means.” Journal of Quality Technology 15:40–44.

  • Nelson, P. R. (1981). “Numerical Evaluation of an Equicorrelated Multivariate Non-central t Distribution.” Communications in Statistics—Simulation and Computation 10:41–50.

  • Nelson, P. R. (1982a). “Exact Critical Points for the Analysis of Means.” Communications in Statistics—Theory and Methods 11:699–709.

  • Nelson, P. R. (1982b). “Multivariate Normal and t Distributions with $\rho _{jk} = \alpha _ j\alpha _ k$.” Communications in Statistics—Simulation and Computation 11:239–248.

  • Nelson, P. R. (1991). “Numerical Evaluation of Multivariate Normal Integrals with Correlations $\rho _{lj} = -\alpha _ l\alpha _ j$.” In Frontiers of Statistical Scientific Theory and Industrial Applications: Proceedings of the ICOSCO I Conference, edited by A. Öztürk, and E. C. van der Meulen, 97–114. Columbus, OH: American Sciences Press.

  • Nelson, P. R. (1993). “Additional Uses for the Analysis of Means and Extended Tables of Critical Values.” Technometrics 35:61–71.

  • Nelson, P. R., Coffin, M., and Copeland, K. A. F. (2003). Introductory Statistics for Engineering Experimentation. San Diego: Academic Press/Elsevier.

  • Ott, E. R. (1967). “Analysis of Means: A Graphical Procedure.” Industrial Quality Control 24:101–109. Reprinted in Journal of Quality Technology 15 (1983): 10–18.

  • Ott, E. R. (1975). Process Quality Control: Troubleshooting and Interpretation of Data. New York: McGraw-Hill.

  • Ramig, P. F. (1983). “Application of the Analysis of Means.” Journal of Quality Technology 15:19–25.

  • Rodriguez, R. N. (1996). “Health Care Applications of Statistical Process Control: Examples Using the SAS System.” In Proceedings of the Twenty-First Annual SAS Users Group International Conference, 1381–1396. Cary, NC: SAS Institute Inc. http://www.sascommunity.org/sugi/SUGI96/Sugi-96-229%20Rodriguez.pdf.

  • Soong, W. C., and Hsu, J. C. (1997). “Using Complex Integration to Compute Multivariate Normal Probabilities.” Journal of Computational and Graphical Statistics 6:397–415.