| Home | Current | Past volumes | About | Login | Notify | Contact | Search | |||||
|
|||||
ReferencesAi, M.Y. and He, S.Y. (2006). Generalized wordtype pattern for nonregular factorial designs with multiple groups of factors. Metrika, 64, 95-108. MR2242560 Ai, M.Y. and Zhang, R.C. (2004a). Projection justification of generalized minimum aberration for asymmetrical fractional factorial designs. Metrika, 60, 279-285. MR2189756 Ai, M.Y. and Zhang, R.C. (2004b). Theory of optimal blocking of nonregular factorial designs. Canad. J. Statist., 32, 57-72. MR2060545 Ai, M.Y., Li, P.F. and Zhang, R.C. (2005). Optimal criteria and equivalence for nonregular fractional factorial designs. Metrika, 62, 73-83. MR2236297 Box, G.E.P. and Draper, N.R. (1987). Empirical Model-building and Response Surfaces. New York: Wiley. MR0861118 Box, G.E.P. and Hunter, J.S. (1961). The 2k-p fractional factorial designs. Technometrics, 3, 311–351, 449–458. Box, G.E.P. and Meyer, R.D. (1986). An analysis for unreplicated fractional factorials. Technometrics, 28, 11–18. MR0824728 Box, G.E.P. and Meyer, R.D. (1993). Finding the active factors in fractionated screening experiments. J. Quality Technology, 25, 94–105. Box, G.E.P. and Tyssedal, J. (1996). Projective properties of certain orthogonal arrays. Biometrika, 83, 950–955. MR1440059 Box, G.E.P., Hunter, W.G. and Hunter, J.S. (2005). Statistics for Experimenters: Design, Innovation, and Discovery, 2nd ed. New York: Wiley. MR2140250 Bulutoglu, D.A. and Cheng, C.S. (2003). Hidden projection properties of some nonregular fractional factorial designs and their applications. Ann. Statist., 31, 1012-1026. MR1994740 Bulutoglu, D.A. and Margot, F. (2008). Classification of orthogonal arrays by integer programming. J. Statist. Plann. Inference, 138, 654–666. MR2382560 Butler, N.A. (2003). Minimum aberration construction results for nonregular two-level fractional factorial designs. Biometrika, 90, 891–898. MR2024764 Butler, N.A. (2004). Minimum G2-aberration properties of two-level foldover designs. Statist. Probab. Lett., 67, 121–132. MR2051696 Butler, N.A. (2005). Generalised minimum aberration construction results for symmetrical orthogonal arrays. Biometrika, 92, 485-491. MR2201373 Butler, N.A. (2007). Results for two-level fractional factorial designs of resolution IV or more. J. Statist. Plann. Inference, 137, 317-323. MR2292860 Chen, H. and Cheng, C.-S. (1999). Theory of optimal blocking of 2n-m designs. Ann. Statist. 27 1948–1973. MR1765624 Chen, H. and Hedayat, A.S. (1996). 2n-l designs with weak minimum aberration. Ann. Statist. 24 2536–2548. MR1425966 Chen, J., Sun, D.X. and Wu, C.F.J. (1993). A catalogue of two-level and three-level fractional factorial designs with small runs. Internat. Statist. Rev., 61, 131–145. Cheng, C.S. (1980). Orthogonal arrays with variable numbers of symbols. Ann. Statist., 8, 447–453. MR0560740 Cheng, C.S. (1995). Some projection properties of orthogonal arrays. Ann. Statist., 23, 1223–1233. MR1353503 Cheng, C.S. (1998). Some hidden projection properties of orthogonal arrays with strength three. Biometrika, 85, 491–495. MR1649130 Cheng, C.S. (2006). Projection properties of factorial designs for factor screening. Screening: Methods for Experimentation in Industry, Drug Discovery, and Genetics, Ed. A. Dean and S. Lewis, pp. 156–168. New York: Springer. Cheng, C.S., Deng, L.Y. and Tang, B. (2002). Generalized minimum aberration and design efficiency for nonregular fractional factorial designs. Statist. Sinica, 12, 991–1000. MR1947057 Cheng, C.S., Mee, R.W. and Yee, O. (2008). Second order saturated orthogonal arrays of strength three. Statist. Sinica, 18, 105-119. MR2384981 Cheng, C.S., Steinberg, D.M. and Sun, D.X. (1999). Minimum aberration and model robustness for two-level fractional factorial designs. J. Roy. Statist. Soc. Ser. B, 61, 85–93. MR1664104 Cheng, S.W. and Wu, C.F.J. (2001). Factor screening and response surface exploration (with discussion). Statist. Sinica, 11, 553–604. MR1863152 Cheng, S.W. and Ye, K.Q. (2004). Geometric isomorphism and minimum aberration for factorial designs with quantitative factors. Ann. Statist., 32, 2168–2185. MR2102507 Cheng, S.W., Li, W. and Ye, K.Q. (2004). Blocked nonregular two-level factorial designs. Technometrics, 46, 269–279. MR2082497 Chipman, H., Hamada, M. and Wu, C.F.J. (1997). A Bayesian variable-selection approach for analyzing designed experiments with complex aliasing. Technometrics, 39, 372–381. Dean, A.M. and Voss, D.T. (1999). Design and analysis of experiments. New York: Springer. MR1673800 Deng, L.Y. and Tang, B. (1999). Generalized resolution and minimum aberration criteria for Plackett-Burman and other nonregular factorial designs. Statist. Sinica, 9, 1071–1082. MR1744824 Deng, L.Y. and Tang, B. (2002). Design selection and classification for Hadamard matrices using generalized minimum aberration criteria. Technometrics, 44, 173–184. MR1938726 Dey, A. (2005). Projection properties of some orthogonal arrays. Statist. Probab. Lett., 75, 298–306. MR2212361 Efron, B., Hastie, T., Johnstone, I. and Tibshirani, R. (2004). Least angle regression. Ann. Statist., 32, 407-499. MR2060166 Evangelaras, H., Koukouvinos, C. and Lappas, E. (2007). 18-run nonisomorphic three level orthogonal arrays. Metrika, 66, 31-37. MR2306375 Evangelaras, H., Koukouvinos, C. and Lappas, E. (2008). 27-run nonisomorphic three level orthogonal arrays: Identification, evaluation and projection properties. Utilitas Mathematica, in press. Evangelaras, H., Koukouvinos, C., Dean, A.M., and Dingus, C.A. (2005). Projection properties of certain three level orthogonal arrays. Metrika, 62, 241–257. MR2274992 Fang, K.T. and Mukerjee, R. (2000). A connection between uniformity and aberration in regular fractions of two-level factorials. Biometrika, 87, 193–198. MR1766839 Fang, K.T. and Qin, H. (2005). Uniformity pattern and related criteria for two-level factorials. Science in China, Series A: Mathematics, 48, 1-11. MR2156612 Fang, K.T. and Wang, Y. (1994). Number-theoretic methods in statistics. London: Chapman and Hall. MR1284470 Fang, K.T., Li, R. and Sudjianto, A. (2006). Design and Modeling for Computer Experiments. London: Chapman and Hall/CRC. MR2223960 Fang, K.T., Lin, D.K.J., Winker, P. and Zhang, Y. (2000). Uniform design: Theory and application. Technometrics, 42, 237-248. MR1801031 Fang, K.T., Zhang, A. and Li, R. (2007). An effective algorithm for generation of factorial designs with generalized minimum aberration. J. Complexity, 23, 740–751. MR2372025 Fries, A. and Hunter, W.G. (1980). Minimum aberration 2k-p designs. Technometrics, 22, 601–608. MR0596803 Gilmour, S. (2006). Factor screening via supersaturated designs. Screening: Methods for Experimentation in Industry, Drug Discovery, and Genetics, Ed. A. Dean and S. Lewis, pp. 169–190. New York: Springer. Hall, M. Jr. (1961). Hadamard matrix of order 16. Jet Propulsion Laboratory Research Summary, No. 36-10, Vol. 1, pp. 21–26, Pasadena, California. Hall, M. Jr. (1965). Hadamard matrix of order 20. Jet Propulsion Laboratory Technical Report, No. 32-761, Pasadena, California. Hamada, M. and Wu, C.F.J. (1992). Analysis of designed experiments with complex aliasing. J. Quality Technology, 24, 130–137. Hammons, A.R., Jr., Kumar, P.V., Calderbank, A.R., Sloane, N.J.A. and Sole, P. (1994). The Z4-linearity of Kerdock, Preparata, Goethals, and related codes. IEEE Trans. Inform. Theory, 40, 301–319. MR1294046 Hedayat, A. and Wallis, W.D. (1978). Hadamard matrices and their applications. Ann. Statist., 6, 1184–1238. MR0523759 Hedayat, A.S., Sloane, N.J.A. and Stufken, J. (1999). Orthogonal Arrays: Theory and Applications. New York: Springer. MR1693498 Hickernell, F.J. (1998). A generalized discrepancy and quadrature error bound. Math. Comp., 67, 299–322. MR1433265 Hickernell, F.J. and Liu, M.Q. (2002). Uniform designs limit aliasing. Biometrika, 89, 893–904. MR1946518 Hunter, G.B., Hodi, F.S. and Eager, T.W. (1982). High-cycle fatigue of weld repaired cast Ti-6Al-4V. Metallurgical Transactions A, 13, 1589–1594. Katsaounis, T.I. and Dean, A.M. (2008). A survey and evaluation of methods for determination of combinatorial equivalence of factorial designs. J. Statist. Plann. Inference, 138, 245-258. MR2369630 Khuri, A.I. and Cornell, J.A. (1996). Response Surfaces: Designs and Analyses, 2nd ed. New York: Marcel Dekker. MR1447628 King, C. and Allen, L. (1987). Optimization of winding operation for radio frequency chokes. Fifth Symposium on Taguchi Methods, pp. 67–80. Dearborn, Michigan: American Supplier Institute. Kuhfeld, W.F. (2005). Marketing Research Methods in SAS. SAS Institute Inc., Cary, NC. http://support.sas.com/techsup/technote/ts722.pdf. Lam, C. and Tonchev, V.D. (1996). Classification of affine resolvable 2-(27,9,4) designs. J. Statist. Plann. Inference, 56, 187–202. MR1436005 Li, W. (2006). Screening designs for model selection. Screening: Methods for Experimentation in Industry, Drug Discovery, and Genetics, Ed. A. Dean and S. Lewis, pp. 207-234. New York: Springer. Li, W., Lin, D.K.J. and Ye, K.Q. (2003). Optimal foldover plans for two-level nonregular orthogonal designs. Technometrics, 45, 347-351. MR2016211 Li, Y., Deng, L.-Y. and Tang, B. (2004). Design catalog based on minimum G-aberration. J. Statist. Plann. Inference, 124, 219–230. MR2066236 Lin, D.K.J. (1993). A new class of supersaturated designs. Technometrics, 35, 28–31. Lin, D.K.J. and Draper, N.R. (1992). Projection properties of Plackett and Burman designs. Technometrics, 34, 423–428. Liu, M.Q., Fang, K.T. and Hickernell, F.J. (2006). Connections among different criteria for asymmetrical fractional factorial designs. Statist. Sinica, 16, 1285-1297. MR2327491 Loeppky, J.L., Bingham, D. and Sitter R.R. (2006). Constructing non-regular robust parameter designs. J. Statist. Plann. Inference, 136, 3710-3729. MR2256283 Loeppky, J.L., Sitter, R.R. and Tang, B. (2007). Nonregular designs with desirable projection properties. Technometrics, 49, 454-467. MR2394557 Ma, C.X. and Fang, K.T. (2001). A note on generalized aberration in factorial designs. Metrika, 53, 85–93. MR1836867 MacWilliams, F.J. and Sloane, N.J.A. (1977). The Theory of Error-correcting Codes. Amsterdam: North-Holland. Mandal, A. and Mukerjee, R. (2005). Design efficiency under model uncertainty for nonregular fractions of general factorials. Statist. Sinica, 15, 697-707. MR2233907 Mee, R.W. (2004). Efficient two-level designs for estimating main effects and two-factor interactions. J. Quality Technology, 36, 400–412. Meyer, R.D., Steinberg, D.M. and Box, G. (1996). Follow-up designs to resolve confounding in multifactor experiments. Technometrics, 38, 303-313. Montgomery, D.C. (2005). Design and analysis of experiments. 6th ed. New York: Wiley. MR2296548 Mukerjee, R. and Wu, C.F.J. (2006). A Modern Theory of Factorial Designs. New York: Springer. MR2230487 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: Wiley. MR2464113 Owen, A.B. (1994). Controlling correlations in Latin hypercube samples. J. Amer. Statist. Assoc., 89, 1517–1522. Paley, R.E.A.C. (1933). On orthogonal matrices. J. Math. Phys., 12, 311–320. Phoa, F.K.H. and Xu, H. (2009). Quarter-fraction factorial designs constructed via quaternary codes. Ann. Statist., in press. Phoa, F.K.H., Pan, Y.-H. and Xu, H. (2009). Analysis of supersaturated designs via the Dantzig selector. J. Statist. Plann. Inference, 139, 2362–2372. Plackett, R.L. and Burman, J.P. (1946). The design of optimum multifactorial experiments. Biometrika, 33, 305–325. MR0016624 Qin, H. and Ai, M. (2007). A note on the connection between uniformity and generalized minimum aberration. Statistical Papers, 48, 491-502. MR2391032 Qin, H. and Fang, K.T. (2004). Discrete discrepancy in factorial designs. Metrika, 60, 59-72. MR2100166 Qin, H., Zou, N. and Chatterjee, K. (2009). Connection between uniformity and minimum moment aberration. Metrika, 70, 79-88. Rao, C.R. (1947). Factorial experiments derivable from combinatorial arrangements of arrays. J. Roy. Statist. Soc. Ser. B, 9, 128–139. MR0022821 Rao, C.R. (1973). Some combinatorial problems of arrays and applications to design of experiments. Survey of combinatorial theory, Ed. J. N. Srivastava, pp. 349–359. Amsterdam: North-Holland. MR0376398 Sacks, J., Welch, W.J., Mitchell, T.J. and Wynn, H.P. (1989). Design and analysis of computer experiments (with discussion). Statistical Science, 4, 409–435. MR1041765 Santner, T.J., Williams, B.J. and Notz, W.I. (2003). The Design and Analysis of Computer Experiments. New York: Springer. MR2160708 Stufken, J. and Tang, B. (2007). Complete enumeration of two-level orthogonal arrays of strength d with d + 2 constraints. Ann. Statist., 35, 793–814. MR2336869 Suen, C., Chen, H. and Wu, C.F.J. (1997). Some identities on qn-m designs with application to minimum aberration designs. Ann. Statist. 25 1176–1188. MR1447746 Sun, D.X. and Wu, C.F.J. (1993). Statistical properties of Hadamard matrices of order 16. Quality Through Engineering Design, Ed. W. Kuo, pp. 169–179. New York: Elsevier. Sun, D.X., Li, W. and Ye, K.Q. (2002). An algorithm for sequentially constructing nonisomorphic orthogonal designs and its applications. Technical report SUNYSB-AMS-02-13, Department of Applied Mathematics and Statistics, SUNY at Stony Brook. Taguchi, G. (1987). System of Experimental Design. White Plain, New York: UNIPUB. Tang, B. (1993). Orthogonal array-based Latin hypercubes. J. Amer. Statist. Assoc., 88, 1392–1397. MR1245375 Tang, B. (2001). Theory of J-characteristics for fractional factorial designs and projection justification of minimum G2-aberration. Biometrika, 88, 401–407. MR1844840 Tang, B. (2006). Orthogonal arrays robust to nonnegligible two-factor interactions. Biometrika, 93, 137–146. MR2277746 Tang, B. and Deng, L.Y. (1999). Minimum G2-aberration for non-regular fractional factorial designs. Ann. Statist., 27, 1914–1926. MR1765622 Tang, B. and Deng, L.-Y. (2003). Construction of generalized minimum aberration designs of 3, 4 and 5 factors. J. Statist. Plann. Inference, 113, 335–340. MR1963051 Tang, B. and Wu, C.F.J. (1996). Characterization of minimum aberration 2n-m designs in terms of their complementary designs. Ann. Statist. 24 2549–2559. MR1425967 Telford, J.K. (2007). A brief introduction to design of experiments. Johns Hopkins APL Technical Digest, 27, 224–232. Tsai, P.-W., Gilmour, S.G. and Mead, R. (2000). Projective three-level main effects designs robust to model uncertainty. Biometrika, 87, 467–475. MR1782491 Tsai, P.-W., Gilmour, S.G. and Mead, R. (2004). Some new three-level orthogonal main effects plans robust to model uncertainty. Statist. Sinica, 14, 1075–1084. MR2126341 Wang, J.C. and Wu, C.F.J. (1995). A hidden projection property of Plackett-Burman and related designs. Statist. Sinica, 5, 235–250. MR1329295 Westfall, P.H., Young, S.S. and Lin, D.K.J. (1998). Forward selection error control in the analysis of supersaturated designs. Statist. Sinica, 8, 101-117. Wu, C.F.J. (1993). Construction of supersaturated designs through partially aliased interactions. Biometrika, 80, 661–669. MR1248029 Wu, C.F.J. and Hamada, M. (2000). Experiments: Planning, Analysis and Parameter Design Optimization. New York: Wiley. MR1780411 Xu, H. (2002). An algorithm for constructing orthogonal and nearly-orthogonal arrays with mixed levels and small runs. Technometrics, 44, 356–368. MR1939683 Xu, H. (2003). Minimum moment aberration for nonregular designs and supersaturated designs. Statist. Sinica, 13, 691–708. MR1997169 Xu, H. (2005a). Some nonregular designs from the Nordstrom and Robinson code and their statistical properties. Biometrika, 92, 385–397. MR2201366 Xu, H. (2005b). A catalogue of three-level regular fractional factorial designs. Metrika, 62, 259–281. MR2274993 Xu, H. (2006). Blocked regular fractional factorial designs with minimum aberration. Ann. Statist., 34, 2534–2553. MR2291509 Xu, H. (2009). Algorithmic construction of efficient fractional factorial designs with large run sizes. Technometrics, in press. Xu, H. and Cheng, C. -S. (2008). A complementary design theory for doubling. Ann. Statist., 36, 445-457. MR2387979 Xu, H. and Deng, L.Y. (2005). Moment aberration projection for nonregular fractional factorial designs. Technometrics, 47, 121–131. MR2188074 Xu, H. and Lau, S. (2006). Minimum aberration blocking schemes for two- and three-level fractional factorial designs. J. Statist. Plann. Inference, 136, 4088–4118. MR2299181 Xu, H. and Wong, A. (2007). Two-level nonregular designs from quaternary linear codes. Statist. Sinica, 17, 1191–1213. MR2397390 Xu, H. and Wu, C.F.J. (2001). Generalized minimum aberration for asymmetrical fractional factorial designs. Ann. Statist., 29, 1066–1077. MR1869240 Xu, H. and Wu, C.F.J. (2005). Construction of optimal multi-level supersaturated designs. Ann. Statist., 33, 2811–2836. MR2253103 Xu, H., Cheng, S.W. and Wu, C.F.J. (2004). Optimal projective three-level designs for factor screening and interaction detection. Technometrics, 46, 280–292. MR2082498 Yang, G. and Butler, N.A. (2007). Nonregular two-level designs of resolution IV or more containing clear two-factor interactions. Statist. Probab. Lett., 77, 566-575. MR2344643 Ye, K.Q. (2003). Indicator functions and its application in two-level factorial designs. Ann. Statist., 31, 984–994. MR1994738 Ye, K.Q. (2004). A note on regular fractional factorial designs. Statist. Sinica, 14, 1069–1074. MR2126340 Yuan, M., Joseph, V.R. and Lin, Y. (2007). An efficient variable selection approach for analyzing designed experiments. Technometrics, 49, 430-439. MR2414515 Zhang, A., Fang, K.T., Li, R. and Sudjianto, A. (2005). Majorization framework for balanced lattice designs. Ann. Statist., 33, 2837-2853. MR2253104 |
|||||
|
Home | Current | Past volumes | About | Login | Notify | Contact | Search Statistics Surveys. ISSN: 1935-7516 |