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, Madison, WI: Center for Quality and Productivity Improvement.

  • 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, B10, 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 A. Öztürk and E. C. van der Meulen, eds., Frontiers of Statistical Scientific Theory and Industrial Applications: Proceedings of the ICOSCO I Conference, 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, Cary, NC: SAS Institute Inc.

  • 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.