References
- Box G, Hunter JS. The 2k−p fractional factorial designs part. Technometrics. 1961;3(3):311–351.
- Fries A, Hunter WG. Minimum aberration 2k−p designs. Technometrics. 1980;22(4):601–608.
- Ai MY, Hickernell FJ, Lin DKJ. Optimal foldover plans for regular s-level fractional factorial designs. Statist Probab Lett. 2008;78(7):896–903.
- Li F, Jacroux M. Optimal foldover plans for blocked 2m−k fractional factorial designs. J Stat Plan Inference. 2007;137(7):2439–2452.
- Li H, Mee RW. Better foldover fractions for resolution III 2k−p designs. Technometrics. 2002;44(3):278–283.
- Li PF, Liu MQ, Zhang RC. Choice of optimal initial designs in sequential experiments. Metrika. 2005;61(2):127–135.
- Li W, Lin DKJ. Optimal foldover plans for two-level fractional factorial designs. Technometrics. 2003;45(2):142–149.
- Li W, Lin DKJ, Ye KQ. Optimal foldover plans for two-level non-regular orthogonal designs. Technometrics. 2003;45(4):347–351.
- Li WL, Guo B, Huang HZ, et al. Semifoldover plans for three-level orthogonal arrays with quantitative factors. Statist. Papers. 2021;62(6):2691–2709.
- Montgomery DC, Runger GC. Foldover of 2k−p resolution IV experimental designs. J Qual Technol. 1996;28(4):446–450.
- Wang B, Robert GM, John FB. A note on the selection of optimal foldover plans for 16- and 32-run fractional factorial designs. J Stat Plan Inference. 2010;140(6):2337–2357.
- Ye KQ, Li W. Some properties of blocked and unblocked foldover of 2k−p designs. Stat Sin. 2003;13:403–408.
- Fang KT, Liu MQ, Qin H, et al. Theory and application of uniform experimental designs. Singapore: Springer; 2018.
- Fang KT, Lin DKJ, Qin H. A note on optimal foldover design. Statist Probab Lett. 2003;62(3):245–250.
- Lei YJ, Qin H, Zou N. Some lower bounds of centered L2-discrepancy on foldover designs. Acta Math Sci. 2010;31A(6):1555–1561.
- Lei YJ, Ou ZJ, Qin H, et al. A note on lower bound of centered L2-discrepancy on combined designs. Acta Math Sci. 2012;28(4):793–800.
- Ou ZJ, Chatterjee K, Qin H. Lower bounds of various discrepancies on combined designs. Metrika. 2011;74(1):109–119.
- Ou ZJ, Li HY. A new foldover strategy and optimal foldover plans for three-level design. Statist Papers. 2021;62(5):2433–2451.
- Ou ZJ, Qin H. Optimal foldover plans of asymmetric factorials with minimum wrap-around L2-discrepancy. Statist Papers. 2019;60(5):1699–1716.
- Ou ZJ, Qin H, Cai X. A lower bound for the wrap-around L2-discrepancy on combined designs of mixed two- and three-level factorials. Commun Statistics-Theory Methods. 2014;43(10–12):2274–2285.
- Ou ZJ, Qin H, Cai X. Optimal foldover plans of three-level designs with minimum wrap-around L2-discrepancy. Sci China Math. 2015;58(7):1537–1548.
- Qin H, Chatterjee K, Ou ZJ. A lower bound for the centered L2-discrepancy on combined designs under the asymmetric factorials. Statistics. 2013;47(5):992–1002.
- Ma CX, Fang KT, Lin DK. A note on uniformity and orthogonality. J Stat Plan Inference. 2003;113(1):323–334.
- Fang KT, Qin H. Uniformity pattern and related criteria for two-level factorials. Sci China Ser A: Math. 2005;48(1):1–11.
- Qin H, Chatterjee K. Lower bounds for the uniformity pattern of asymmetric fractional factorials. Communications in Statistics-Theory and Methods. 2009;38(9):1383–1392.
- Qin H, Wang ZH, Chatterjee K. Uniformity pattern and related criteria for q-level factorials. J Stat Plan Inference. 2012;142(5):1170–1177.
- Qin H, Wang ZH, Chatterjee K. Uniformity pattern of asymmetric fractional factorials. J Syst Sci Complexity. 2016;29(2):499–510.
- Qin H, Zou N, Zhang SL. Design efficiency for minimum projection uniformity designs with two levels. J Syst Sci Complexity. 2011;24(4):761–768.
- Song S, Qin H. Application of minimum projection uniformity criterion in complementary designs. Acta Math Sci. 2010;30B(1):180–186.
- Wang ZH, Qin H. Uniformity pattern and related criteria for mixed-level designs. Commun Statist-Theory Methods. 2018;47(13):3192–3203.
- Zhang SL, Qin H. Minimum projection uniformity criterion and its application. Statist Probab Lett. 2006;76(6):634–640.
- Zhou YD, Fang KT, Ning JH. Mixture discrepancy for quasi-random point sets. J Complex. 2013;29(3–4):283–301.
- Tang Y, Xu HQ, Lin DKJ. Uniform fractional factorial designs. Ann Statist. 2012;40(2):891–907.
- Zhou YD, Xu HQ. Space-filling fractional factorial designs. J Am Stat Assoc. 2014;109(507):1134–1144.
- Chen W, Qi ZF, Zhou YD. Constructing uniformity designs under mixture discrepancy. Statist Probab Lett. 2015;97:76–82.
- Yi SY, Zhou YD. Projection uniformity under mixture discrepancy. Statist Probab Lett. 2018;140:96–105.
- Wang K, Ou ZJ, Liu JQ, et al. Uniformity pattern of q-level factorials under mixture discrepancy. Statist Papers. 2021;62(4):1777–1793.
- Wang K, Qin H, Ou ZJ. Uniformity pattern of mixed two- and three-level factorials under average projection mixture discrepancy. Statistics. 2022;56(1):121–133.
- Hu LP, Chatterjee K, Liu JQ, et al. New lower bound for Lee discrepancy of asymmetrical factorials. Statist. Papers. 2020;61(4):1763–1772.