公開日: 11/25/2021

Agresti, A., and Coull, B. A. (1998). “Approximate Is Better than ‘Exact’ for Interval Estimation of Binomial Proportions.” American Statistician 52:119–126.

Agresti, A., and Caffo, B. N. (2000). “Simple and Effective Confidence Intervals for Proportions and Differences of Proportions Result from Adding Two Successes and Two Failures.” American Statistician 54:280–288.

Atkinson, A. C., and Donev, A. N.(1992). Optimum Experimental Designs. New York: Oxford University Press.

Barker, C. (2011). “Power and Sample Size Calculations in JMP.” Technical Report, Cary NC: SAS Institute Inc. Accessed May 6, 2018. https://www.jmp.com/content/dam/jmp/documents/en/technical-reports/powerAndSampleSize.pdf.

Borror, C. M., and Montgomery, D. C. (2000). “Mixed Resolution Designs as Alternatives to Taguchi Inner-Outer Array Designs for Robust Design Problems.” Quality and Reliability Engineering International 16:117–128.

Box, G. E. P. (1988). “Signal–to–Noise Ratio, Performance Criteria, and Transformations.” Technometrics 30:1–40.

Box, G. E. P., and Behnken, D. W. (1960). “Some New Three-Level Designs for the Study of Quantitative Variables.” Technometrics 2:455–475.

Box, G. E. P., and Draper, N. R. (1987). Empirical Model–Building and Response Surfaces. New York: John Wiley & Sons.

Box, G. E. P., Hunter, W. G., and Hunter, J. S. (1978). Statistics for Experimenters. New York: John Wiley & Sons.

Box, G. E. P., Hunter, W. G., and Hunter, J. S. (2005). Statistics for Experimenters: Design, Innovation, and Discovery. 2nd ed. New York: John Wiley & Sons.

Box, G. E. P., and Meyer, R. D. (1986). “An Analysis of Unreplicated Fractional Factorials.” Technometrics 28:11–18.

Box, G. E. P., and Wilson, K. B. (1951). “On the Experimental Attainment of Optimum Conditions.” Journal of the Royal Statistical Society, Series B 13:1–45.

Byrne, D. M., and Taguchi, G. (1986). “The Taguchi Approach to Parameter Designs.” Quality Congress Transactions 177:168–177.

Chow, S. -C., Shao, J., and Wang, H. (2008). Sample Size Calculations in Clinical Research. 2nd ed. Boac Raton, FL: Chapman & Hall/CRC.

Clopper, C. J., and Pearson, E. S. (1934). “The Use of Confidence or Fiducial Limits Illustrated in the Case of the Binomial.” Biometrika 26:404–413.

Cochran, W. G., and Cox, G. M. (1957). Experimental Designs. 2nd ed. New York: John Wiley & Sons.

Cohen, M. B., Gibbons, P. B., Mugridge, W. B., and Colbourn, C. J. (2003). “Constructing Test Suites for Interaction Testing.” In Proceedings 25th International Conference on Software Engineering, 38–48.

Cohen, M. B., Dwyer, M. B., and Shi, J. (2007). “Interaction Testing of Highly-Configurable Systems in the Presence of Constraints.” In Proceedings of the 2007 International Symposium on Software Testing and Analysis, 129–139.

Colbourn, C. (2004). “Combinatorial Aspects of Covering Arrays.” Le Matematiche 58:121–167.

Colbourn, C., and Dinitz, J., eds. (2010). Handbook of Combinatorial Designs. 2nd ed. Boca Raton, FL: CRC Press.

Cornell, J. A. (1990). Experiments with Mixtures. 2nd ed. New York: John Wiley & Sons.

Dalal, S. R., and Mallows, C. L. (1998). “Factor-Covering Designs for Testing Software.” Technometrics 40:234–243.

DuMouchel, W., and Jones, B. (1994). “A Simple Bayesian Modification of D-Optimal Designs to Reduce Dependence on an Assumed Model.” Technometrics 36:37–47.

Errore, A., Jones, B., Li, W., and Nachtsheim, C. (2017). “Using Definitive Screening Designs to Identify Active First- and Second-Order Factor Effects.” Journal of Quality Technology 49:244–264.

Fries, A., and Hunter, W. G. (1980). “Minimum Aberration 2k-p Designs.” Technometrics 22:601–608.

Gotwalt, C. M., Jones, B. A., and Steinberg, D. M., (2009). “Fast Computation of Designs Robust to Parameter Uncertainty for Nonlinear Settings.” Technometrics 51:88–95.

Goos, P. (2002). The Optimal Design of Blocked and Split Plot Experiments. New York: Springer.

Goos, P., and Jones, B. (2011). Optimal Design of Experiments: A Case Study Approach. New York: John Wiley & Sons.

Hamada, M., and Wu, C. F. J., (1992). “Analysis of Designed Experiments with Complex Aliasing.” Technometrics 24:130–137.

Hartman, A., and Raskin, L. (2004). “Problems and Algorithms for Covering Arrays.” Discrete Mathematics 284:149–156.

Horn, R., and Johnson, C. (2012). Matrix Analysis. 2nd ed. Cambridge: Cambridge University Press.

Huber, J., and Zwerina, K. (1996). “The Importance of Utility Balance in Efficient Choice Designs.” Journal of Marketing Research 33:307–317.

Jennrich, R. I. (1969). “Asymptotic Properties of Non-Linear Least Squares Estimators.” Annals of Mathematical Statistics 40:633–643.

Johnson, M. E., and Nachtsheim, C. J. (1983). “Some Guidelines for Constructing Exact D–Optimal Designs on Convex Design Spaces.” Technometrics 25:271–277.

Jones, B. (1991). “An Interactive Graph For Exploring Multidimensional Response Surfaces.” In Proceedings of the Annual Joint Statistical Meetings of the American Statistical Association. Alexandria. VA: American Statistical Association.

Jones, B., and Goos, P. (2007). “A Candidate-set-free Algorithm for Generating D-optimal Designs.” Applied Statistics 56:1–18. Accessed January 23, 2017. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3001117/.

Jones, B., and Goos, P. (2015). “Optimal Design of Blocked Experiments in the Presence of Supplementary Information about the Blocks.” Technometrics 47:01–317.

Jones, B., and Johnson, R. T. (2009). “Design and Analysis for the Gaussian Process Model.” Quality and Reliability Engineering International 25:515–524. Accessed January 23, 2017. https://www.stat.osu.edu/~comp_exp/jour.club/Jones_Johnson_QREI09.pdf.

Jones, B., Lekivetz, R., Majumdar, D., Nachtsheim, C. J., and Stallings, J. W. (2019). “Construction, Properties, and Analysis of Group-Orthogonal Supersaturated Designs.”Technometrics 62: 403 - 414. Accessed December 15, 2020. https://doi.org/10.1080/00401706.2019.1654926

Jones, B., Lin, D. K. J., and Nachtsheim, C. J. (2008). “Bayesian D-Optimal Supersaturated Designs.” Journal of Statistical Planning and Inference 138:86–92.

Jones, B., and Nachtsheim, C. J. (2011a). “A Class of Three-Level Designs for Definitive Screening in the Presence of Second-Order Effects.” Journal of Quality Technology 43:1–15. Accessed January 23, 2017. https://www.jmp.com/en_us/whitepapers/jmp/class-three-level-definitive-screening.html.

Jones, B., and Nachtsheim, C. J. (2011b). “Efficient Designs with Minimal Aliasing.” Technometrics 53:62–71.

Jones, B., and Nachtsheim, C. J. (2013). “Definitive Screening Designs with Added Two-Level Categorical Factors.” Journal of Quality Technology 45:121–129.

Jones, B., and Nachtsheim, C. J. (2016a). “Blocking Schemes for Definitive Screening Designs.” Technometrics 58:74–83.

Jones, B., and Nachtsheim, C. J. (2016b). “Effective Model Selection for Definitive Screening Designs.” Technometrics. Accessed September 28, 2017. https://www.tandfonline.com/doi/full/10.1080/00401706.2016.1234979.

Joseph, V. R., Gul, E., and Ba, S. (2015). “Maximum Projection Designs for Computer Experiments.” Biometrika 102:371–380.

Jowett, G. (1963). “The Relationship Between the Binomial and F Distributions.” Journal of the Royal Statistical Society 13:55–57.

Kessels, R., Jones, B., Goos, P. (2011). “Bayesian Optimal Designs for Discrete Choice Experiments with Partial Profiles.” Journal of Choice Modelling 4:52–74.

Kowalski, S. M., Cornell, J. A., and Vining, G. G. (2002). “Split Plot Designs and Estimation Methods for Mixture Experiments with Process Variables.” Technometrics 44:72–79.

Krishnamoorthy, K., and Mathew, T. (2009). Statistical Tolerance Regions: Theory, Applications, and Computations. New Your: John Wiley & Sons.

Lenth, R. V. (1989). “Quick and Easy Analysis of Unreplicated Fractional Factorials.” Technometrics 31:469–473.

Lekivetz, R. (2014). “What is an Alias Matrix?” Accessed January 23, 2017. https://blogs.sas.com/content/jmp/2014/06/05/what-is-an-alias-matrix/.

Lekivetz, R., Sitter, R., Bingham, D., Hamada, M. S., Moore, L. M., and Wendelberger, J. R. (2015). “On Algorithms for Obtaining Orthogonal and Near-Orthogonal Arrays for Main-Effects Screening.” Journal of Quality Technology 47:2–13.

Lin, D. K. J. (1993). “A New Class of Supersaturated Design.” Technometrics 35:28–31.

Martirosyan, S. (2003). “Perfect Hash Families, Identifiable Parent Property Codes and Covering Arrays.” Ph.D. diss., Universitat Duisburg-Essen.

Meyer, R. K., and Nachtsheim, C. J. (1995). The Coordinate Exchange Algorithm for Constructing Exact Optimal Designs.” Technometrics 37:60–69.

Meyer, R. D., Steinberg, D. M., and Box, G.(1996). Follow-up Designs to Resolve Confounding in Multifactor Experiments. Technometrics 38:307.

Miller, A., and Sitter, R. R. (2005). “Using Folded-Over Nonorthogonal Designs.” Technometrics 47:502–513.

Montgomery, D. C. (2013). Design and Analysis of Experiments. 8th ed. New York: John Wiley & Sons.

Morgan, J. (2009). “Constrained Covering Arrays: Resolving Invalid Level Combination Constraints.” Technical Report, Cary NC: SAS Institute Inc., also in Supplemental Proceedings of the 20th International Symposium on Software Reliability Engineering. Accessed May 6, 2018. https://www.jmp.com/content/dam/jmp/documents/en/technical-reports/ConstrainedCovArray09.pdf.

Morgan, J. (2014). “Computing Coverage and Diversity Metrics for Constrained Covering Arrays,” Technical Report, Cary NC: SAS Institute Inc. Accessed May 6, 2018. https://www.jmp.com/content/dam/jmp/documents/en/technical-reports/CoverageDiversity2014.pdf.

Morgan, J. P., and Stallings, J. (2017). “Optimal experimental design that targets meaningful information.” WIREs Comput Stat 2017, 9:e1393. doi: 10.1002/wics.1393.

Myers, R. H., Montgomery, D. C., and Anderson-Cook, C. M. (2009). Response Surface Methodology, Process and Product Optimization Using Designed Experiments. 3rd ed. New York: John Wiley & Sons.

Mylona, K., Goos, P., and Jones, B. (2014). “Optimal Design of Blocked and Split-plot Experiments for Fixed Effects and Variance Component Estimation.” Technometrics 56:132–144.

Nayeri, P., Colbourn, C., and Konjevod, G. (2013). “Randomized Postoptimization of Covering Arrays.” European Journal of Combinatorics 34:91–103.

Piepel, G. F. (1988). “Programs for Generating Extreme Vertices and Centroids of Linearly Constrained Experimental Regions.” Journal of Quality Technology 20:125–139.

Sall, J. (2008). “Choice Experimental Designs Are Different.” Accessed January 22, 2016. https://blogs.sas.com/content/jmp/2008/12/16/choice-experimental-designs-are-different/.

SAS Institute Inc. (2013). “The %MktBIBD Macro.” Accessed September 27, 2017. https://support.sas.com/rnd/app/macros/mktbibd/mktbibd.htm.

Schoen, E. D. (1999). “Designing Fractional Two-level Experiments with Nested Error Structures.” Journal of Applied Statistics 26: 495–508.

Shewry, M. C., and Wynn, H. P. (1987). “Maximum Entropy Sampling.” Journal of Applied Statistics 14:165–170.

Snee, R. D., and Marquardt, D. W. (1974). “Extreme Vertices Designs for Linear Mixture Models.” Technometrics 16:391–408.

Snee, R. D. (1975). “Experimental Designs for Quadratic Models in Constrained Mixture Spaces.” Technometrics 17:149–159.

Snee, R. D. (1979). “Experimental Designs for Mixture Systems with Multicomponent Constraints.” Communications in Statistics -Theory and Methods 8:303–326.

Snee, R. D. (1985). “Computer Aided Design of Experiments - Some Practical Experiences.” Journal of Quality Technology 17:222–236.

Vivacqua, C. A., and Bisgaard, S. (2004). “Strip-Block Experiments for Process Improvement and Robustness.” Quality Engineering 16:495–500.

Worley, B. A. (1987). Deterministic Uncertainty Analysis. Technical Report ORN-0628, Oak Ridge National Laboratory.

Wu, C. F. J. (1981). “Asymptotic Theory of Nonlinear Least Squares Estimation.” Annals of Mathematical Statistics 9:501–513.

Wu, C. F. J., and Hamada, M. S. (2009). Experiments: Planning, Analysis, and Optimization. 2nd ed. New York: John Wiley & Sons.

Xiao, L., Lin, D. K. J., and Bai, F. (2012). “Constructing Definitive Screening Designs Using Conference Matrices.” Journal of Quality Technology 44:2–8.

Ye, K. Q., and Hamada, M. (2000). “Critical Values of the Lenth Method for Unreplicated Factorial Designs.” Journal of Quality Technology 32:57–66.

Yilmaz, C., Fouche, S., Cohen, M. B., Porter, A., Demiroz, G., and Koc, U. (2014). “Moving Forward with Combinatorial Interaction Testing.” Computer 47:37–45.

Zahran, A., Anderson-Cook, C. M., and Myers, R. H. (2003). “Fraction of Design Space to Assess the Prediction Capability of Response Surface Designs.” Journal of Quality Technology 35:377–386.

Zhang, Z., and Zhang, J. (2011). “Characterizing Failure-Causing Parameter Interactions by Adaptive Testing.” In Proceedings of the 2011 International Symposium on Software Testing and Analysis, 331–341.

より詳細な情報が必要な場合や、質問があるときは、JMPユーザーコミュニティで答えを見つけましょう (community.jmp.com).