The following sources are referenced in the Design of Experiments Guide . Agresti, A., and Coull, B. A. (1998). “Approximate Is Better Than ‘Exact’ for Interval Estimation of Binomial Proportions.” The 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.” The American Statistician 54:280–288. Atkinson, A. C., and Donev, A. N. (1992). Optimum Experimental Designs . New York: Oxford University Press. Bain, L. J., and Englehardt, M. (1981). “Simple Approximate Distributional Results for Confidence and Tolerance Limits for the Weibull Distribution Based on Maximum Likelihood Estimators.” Technometrics 23:15–20. Barker, C. (2011). Power and Sample Size Calculations in JMP . Technical Report, Cary, NC: SAS Institute Inc. https://www.jmp.com/content/dam/jmp/documents/en/technical-reports/powerAndSampleSize.pdf . Blischke, W., and Murthy, D. (2000). Reliability: Modeling, Prediction, and Optimization . New York: John Wiley & Sons. 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. Boca 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 of the 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. Escobar, L. A., and Meeker, W. Q. (1995). “Planning Accelerated Life Test with Two or More Experimental Factors.” Technometrics 37:411–427. Fries, A., and Hunter, W. G. (1980). “Minimum Aberration 2 k-p Designs.” Technometrics 22:601–608. Fang, K., Lin, D., Winker, P., and Zhang, Y. (2000). “Uniform Design: Theory and Application.” Technometrics 42:237–248. 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. Gu, K., Ng, H. K. T., Tang, M. L., and Schucany, W. R. (2008). “Testing the Ratio of Two Poisson Rates.” Biometrical Journal 50:283–298. 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. Hickernell, F. (1998). “A Generalized Discrepancy and Quadrature Error Bound.” Mathematics of Computation 67:299–322. 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.” The Annals of Mathematical Statistics 40:633–643. Ji, Y., Mak, S., Lekivetz, R., and Morgan, J. (2025). “BayesFLo: Bayesian Fault Localization of Complex Software Systems.” arXiv preprint arXiv :2403.08079. 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.” Journal of the Royal Statistical Society, Series C 56(3):347–364. 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. 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 . Jones, B., Lekivetz, R., and Nachtsheim, C. J. (2023). “A Family of Orthogonal Main Effects Screening Designs for Mixed-Level Factors.” Journal of Quality Technology 55:527–534.

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. 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 . Joseph, V. R., Gul, E., and Ba, S. (2015). “Maximum Projection Designs for Computer Experiments.” Biometrika 102:371–380. Joseph, V. R., Gul, E., and Ba, S. (2020). “Designing Computer Experiments with Multiple Types of Factors: The MaxPro Approach.” Journal of Quality Technology 52:343–354. Jowett, G. (1963). “The Relationship between the Binomial and F Distributions.” Journal of the Royal Statistical Society, Series D 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 York: 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?” https://community.jmp.com/t5/R-D-Blog/What-is-an-Alias-Matrix/ba-p/30448 . 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. Lekivetz, R., and Jones, B. (2018). “Fast Flexible Space-Filling Designs with Nominal Factors for Nonrectangular Regions.” Quality and Reliability Engineering International 35:677–684. Li, C., Su, P., Guo, Y., and Shry, Y. (2013). “Sample Size Calculations for Differential Expression Analysis of RNA-seq Data Under Poisson Distribution.” International Journal of Computational Biological Drug Discovery 6:358–375. 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. Mathews, P. (2010). Sample Size Calculations: Practical Methods for Engineers and Scientists . Fairport Harbor, OH: Mathews Malnar and Bailey, Inc. 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 . 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. 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 Compututational Statistics 9(2):e1393. 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. SAS Institute Inc. (2013). The %MktBIBD Macro . Technical Report, Cary, NC: SAS Institute Inc. 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.” The 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.