Publications

Papers

  1. “The even-odd game” (with F.K. Hwang), Tamkang Journal of Mathematics 2:45-49, 1971.
  2. “Segal algebras and the multiplication by continuous characters”, Chinese Journal of Mathematics 1:175-181, 1973.
  3. “Optimality of certain asymmetrical experimental designs”, Annals of Statistics 6:1239-1261, 1978.
  4. “Optimal designs for the elimination of multi-way heterogeneity”, Annals of Statistics 6:1262-1272, 1978.
  5. “A note on (M.S.)-Optimality”, Communications in Statistics A7(14):1327-1338, 1978.
  6. “Construction of Youden hyperrectangles”, Journal of Statistical Planning and Inference 3:109-118, 1979.
  7. “Optimal incomplete block designs with four varieties”, Sankhya, Series B 41:1-14, 1979.
  8. “Optimality of some weighing and 2^n fractional factorial designs”, Annals of Statistics 8:436-446, 1980.
  9. “Orthogonal arrays with variable numbers of symbols”, Annals of Statistics 8:447-453, 1980.
  10. “A characterization of group-divisible designs and some related results” (with L.J. Gray), Annals of Discrete Mathematics 6:31-39, 1980.
  11. “On the E-optimality of some block designs”, Journal of the Royal Statistical Society, Series B 42:199-204, 1980.
  12. “Balanced repeated measurements designs” (with C.F. Wu), Annals of Statistics 8:1272-1283, 1980.
  13. “Optimality and construction of pseudo Youden designs”, Annals of Statistics 9:201-205, 1981.
  14. “On the comparison of PBIB designs with two associate classes”, Annals of the Institute of Statistical Mathematics 33:155-164, 1981.
  15. “Nearly balanced incomplete block designs” (with C.F. Wu), Biometrika 68:493-500, 1981.
  16. “Maximizing the total number of spanning trees in a graph: two related problems in graph theory and optimum design theory”, Journal of Combinatorial Theory, Series B 31:240-248, 1981.
  17. “A family of pseudo-Youden designs with row size less than the number of symbols”, Journal of Combinatorial Theory, Series A 31:219-221, 1981.
  18. “Graph and optimum design theories – some connections and examples”, Proceedings of the 43rd Session of the International Statistical Institute: 580-590, 1981.
  19. “Construction of optimal balanced incomplete block designs for correlated observations”, Annals of Statistics 11:240-246, 1983.
  20. “A minimax approach to sample surveys” (with K.C. Li), Annals of Statistics 11:552-563, 1983.
  21. “A unified method for constructing PBIB designs based on triangular and L2 schemes” (with G.M. Constantine and A.S. Hedayat), Journal of the Royal Statistical Society, Series B 46:31-37, 1984.
  22. “The strong consistency of M-estimators in linear models” (with K.C. Li), Journal of Multivariate Analysis, 15:91-98, 1984.
  23. “Comments on four papers by Jack Kiefer”, Jack Carl Kiefer Collected Papers III 695-700, 1984.
  24. “Nearly balanced designs”, Encyclopedia of Statistical Sciences, 6:164-167, 1985.
  25. “Optimal weighing designs”, (with J.C. Masaro and C.S. Wong), SIAM Journal on Algebraic and Discrete Methods, 6:259-267, 1985.
  26. “Run orders of factorial designs”, Proceedings of the Berkeley Conference in Honor of Jerzy Neyman and Jack Kiefer, 619-633, 1985.
  27. “Do nearly balanced multigraphs have more spanning trees?” (with J.C. Masaro and C.S. Wong), Journal of Graph Theory, 8:342-345, 1985.
  28. “On the efficiency of regular generalized line graph designs” (with G.M. Constantine), Journal of Statistical Planning and Inference, 15:1-10, 1986.
  29. “A method for constructing balanced incomplete block designs with nested rows and columns”, Biometrika, 73:695-700, 1986.
  30. “Optimality criteria in survey sampling” (with K.C. Li), Biometrika, 74:337-345, 1987.
  31. “An optimization problem with applications to optimal design theory”, Annals of Statistics, 15:712-723, 1987.
  32. “An application of the Kiefer-Wolfowitz equivalence theorem to a problem in Hadamard transform optics”, Annals of Statistics, 15:1593-1603, 1987.
  33. “Regular graph designs”, Encyclopedia of Statistical Sciences, 8:4-7, 1988.
  34. “Optimal step-type designs for comparing test treatments with a control” (with D. Majumdar, J. Stufken, and T.E. Ture), Journal of American Statistical Association, 83:477-482, 1988.
  35. “Minimum cost trend-free run orders of fractional factorial designs”, (with D.C. Coster), Annals of Statistics, 16:1188-1205, 1988.
  36. “The construction of trend-free run orders of two-level factorial designs” (with M. Jacroux), Journal of American Statistical Association, 83:1152-1158, 1988.
  37. “A note on the optimality of semibalanced arrays”, Optimal Design and Analysis of Experiments, (Edited by Y. Dodge, V.V. Fedorov and H.P. Wynn) 115-122, 1988.
  38. “Some orthogonal main-effect plans for asymmetrical factorials”, Technometrics, 31:475-477, 1989.
  39. “Construction of optimal fractional factorial resolution V designs with N = 2 mod 16 observations”, (with S. Chadjiconstantinidis and C. Moyssiadis), Journal of Statistical Planning and Inference, 23:153-161, 1989.
  40. “Construction of run orders of factorial designs”, Statistical Design and Analysis of Industrial Experiments, (edited by S. Ghosh), 423-439, 1990.
  41. “Characterization of invariant spaces under a symmetric real matrix and its permutations”, (with K.C. Li), Linear Algebra and Its Applications, 127:503-516, 1990.
  42. “Optimal properties of balanced incomplete block and other designs”, Coding Theory and Design Theory, Part II (edited by D. Ray-Chaudhuri), 54-64, 1990.
  43. “D-optimality of linked block designs and some related results”, Probability, Statistics and Design of Experiments, (edited by R.R. Bahadur), 227-234, 1990.
  44. “Optimality of some two-associate-class partially balanced incomplete block designs” (with R.A. Bailey), Annals of Statistics, 19:1667-1671, 1991.
  45. “Trend robust two-level factorial designs” (with D.M. Steinberg), Biometrika, 78:325-336, 1991.
  46. “On the optimality of (M.S)-optimal designs in large systems”, Sankhya, 54:117-125, 1992. (Proceedings of R.C. Bose Memorial Conference on Combinatorial Mathematics and Applications)
  47. “Construction of trend-resistant factorial designs” (with R.A. Bailey and P. Kipnis), Statistica Sinica, 2:393-411, 1992.
  48. “Some optimal designs of block size two” (with S. Bagchi), Journal of Statistical Planning and Inference, 37:245-253, 1993.
  49. “Constructing orthogonal fractional factorial designs when some factor-level combinations are debarred” (with Chang-Chung Li), Technometrics, 35:277-283, 1993.
  50. 50. “Neighbor-balanced orthogonal arrays”, Journal of Combinatorics, Information & System Sciences (Professor C.R. Rao Dedication Volume), 18:61-67, 1993.
  51. “A study of the method of principal Hessian direction for analysis of data from designed experiments” (with K.C. Li), Statistica Sinica, 5:617-639, 1995.
  52. “Some projection properties of orthogonal arrays”, Annals of Statistics, 23:1223-1233, 1995.
  53. “Complete class results for the moment matrices of designs over permutation-invariant sets”, Annals of Statistics, 23: 41-54, 1995.
  54. “Optimal regression designs under random block-effects models”, Statistica Sinica, 5:485-497, 1995.
  55. “Optimal design: exact theory”, Handbook of Statistics, Vol. 13, (edited by S. Ghosh and C. R. Rao), 977-1006, 1996.
  56. “E(s^2)-optimal supersaturated designs”, Statistica Sinica, 7: 929-939, 1997.
  57. “Some hidden projection properties of orthogonal arrays with strength three”, Biometrika, 85:491-495, 1998.
  58. “Two-level factorial designs with extreme numbers of level changes” (with R.J. Martin and B. Tang), Annals of Statistics, 26:1522-1539, 1998.
  59. “N-way balanced incomplete block designs”, Journal of Statistical Planning and Inference (R. C. Bose Memorial Conference Issue), 72:109-119, 1998.
  60. “Projectivity and resolving power”, Journal of Combinatorics, Information and System Sciences (special issue in honor of J. N. Srivastava), 23:47-58, 1998.
  61. “Regular fractional factorial designs with minimum aberration and maximum estimation capacity” (with R. Mukerjee), Annals of Statistics, 26:2289-2300, 1998.
  62. “Minimum aberration and model robustness for two-level fractional factorial designs” (with D. M. Steinberg and D. X. Sun), Journal of Royal Statistical Society, Ser. B, 61: 85-93, 1999.
  63. “Optimal regression designs in the presence of random block effects” (with J. E. Atkins), Journal of Statistical Planning and Inference, 77: 321-335, 1999.
  64. “Theory of optimal blocking of 2^{n-m} designs” (with H. Chen), Annals of Statistics, 27:1948-1973, 1999.
  65. “Uniqueness of some resolution IV two-level regular fractional factorial designs” (with H. Chen), SIAM Journal on Discrete Mathematics, 13: 571-575, 2000.
  66. “Blocked regular fractional factorial designs with maximum estimation capacity” (with R. Mukerjee), Annals of Statistics, 29: 530-548, 2001.
  67. “Upper bounds on the number of columns in supersaturated designs” (with B. Tang), Biometrika, 88: 1169-1174, 2001.
  68. “Generalized minimum aberration and design efficiency for nonregular fractional factorial designs” (with L.Y. Deng and B. Tang), Statistica Sinica, 12: 991-1000, 2002.
  69. “On regular fractional factorial experiments in row-column designs” Journal of Statistical Planning and Inference (Special volume dedicated to C. R. Rao), 114:3-20, 2003.
  70. “Hidden projection properties of some nonregular fractional factorial designs and their applications” (with D. A. Bulutoglu), Annals of Statistics, 31: 1012-1026, 2003.
  71. “Aberration, estimation capacity and estimation index” (with H. H. Chen), Statistica Sinica, 14: 203-215, 2004.
  72. “Construction of E(s^2)-optimal supersaturated designs” (with D. A. Bulutoglu), Annals of Statistics, 32: 1662-1678, 2004.
  73. “A general theory of minimum aberration and its applications” (with Boxin Tang), Annals of Statistics, 33: 944-958, 2005.
  74. “Projection properties of factorial designs for factor screening”, In Screening: Methods for Experimentation in Industry, Drug Discovery, and Genetics (edited by A. Dean and S. Lewis), 156-168, 2005.
  75. “Doubling and projection: a method of constructing two-level designs of resolution IV” (with H. H. Chen), Annals of Statistics, 34: 546-558, 2006.
  76. “Second order saturated orthogonal arrays of strength three” (with R. W. Mee and O. Yee), Statistica Sinica, 18: 105-119, 2008.
  77. “New E(s^2)-optimal supersaturated designs constructed from incomplete block designs” (with N. K. Nguyen), Technometrics, 50: 26-31, 2008.
  78. “A complementary design theory for doubling” (with H. Xu), Annals of Statistics, 36: 445-457, 2008.
  79. “Optimal two-level regular fractional factorial block and split-plot designs” (with P. W. Tsai), Biometrika, 96: 83-93, 2008.
  80. “Some results on 2^{n-m} designs of resolution IV with (weak) minimum aberration” (with H. H. Chen), Annals of Statistics, 37: 3600-3615, 2009.
  81. “Some optimal row-column designs” (with F. S. Chai), Journal of Statistical Theory and Practice, 5: 59-67, 2011 (invited paper).
  82. “Multistratum fractional factorial designs” (with P. W. Tsai), Statistica Sinica, 21: 1001-1021, 2011.
  83. “A note on the E-optimality of regular line graph designs”, Journal of Statistical Theory and Practice, 6:162-168, 2012 (invited paper).
  84. “Minimum aberration and related criteria for fractional factorial designs” (with H. H. Chen), Design and Analysis of Experiments, Vol.3: Special Designs and Applications (edited by K. Hinkelmann), 299-329, Wiley, 2012.
  85. “Templates for design key construction” (with P. W. Tsai), Statistica Sinica, 23:1419-1436, 2013.
  86. “Optimal biased weighing designs and two-level main-effect plans”, Journal of Statistical Theory and Practice, 8:83-99, 2014 (invited paper for a J.N. Srivastava memorial issue).
  87. “Optimal experimental designs for fMRI via circulant biased weighing designs” (with M. H. Kao), Annals of Statistics, 43: 2565-2587, 2015.
  88. “Optimal designs for quadratic regression with random block effects: The case of block size two” (with S. H. Huang), Journal of Statistical Planning and Inference, 175:67-77, 2016.
  89. “Optimal and efficient designs for functional brain imaging experiments” (with M. H. Kao and F. K. H. Phoa), Journal of Statistical Planning and Inference, 181: 71-80, 2017.
  90. “Strong orthogonal arrays of strength two plus” (with Y. He and B. Tang), Annals of Statistics, 46: 457-468, 2018.
  91. “E(s^2)- and UE(s^2)-optimal supersaturated designs” (with A. Das, R. Singh,  and P. W. Tsai), Journal of Statistical Planning and Inference, 196: 105-114, 2018.
  92. “A Bayesian approach to the selection of two-level multi-stratum factorial designs” (with M. C. Chang), Annals of Statistics, 46: 1779-1806, 2018.
  93. “Signal aliasing in Gaussian random fields for experiments with qualitative factors” (with M. C. Chang and S. W. Cheng), Annals of Statistics, 47: 909-935, 2019.
  94. “Minimal second order saturated designs and their applications to space-filling designs” (with Y. He and B. Tang), to appear in Statistica Sinica.

Book

Theory of Factorial Design: Single- and Multi-Stratum Experiments, Chapman & Hall/CRC Monographs on Statistics and Applied Probability 131, 2014.