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Original Articles

A Note on Near-Orthogonal Latin Hypercubes with Good Space-Filling Properties

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Pages 492-500 | Received 21 Mar 2011, Accepted 11 Feb 2012, Published online: 10 Aug 2012

References

  • Cioppa , T. M. and Lucas , T. W. 2007 . Efficient nearly orthogonal and space-filling Latin hypercubes . Technometrics , 49 : 45 – 55 .
  • Fang , K. T. , Ma , C. and Winker , P. 2000 . Centered L 2 discrepancy of random sampling and Latin hypercube design, and construction of uniform designs . Math. Computation , 71 : 275 – 296 .
  • Georgiou , S. D. 2009 . Orthogonal Latin hypercube designs from generalized orthogonal designs . J. Stat. Plan. Inference , 139 : 1530 – 1540 .
  • Hickernell , F. J. 1998 . A generealized discrepancy and quadrature error bound . Math. Computation , 67 : 299 – 322 .
  • Johnson , M. , Moore , L. and Ylvisaker , D. 1990 . Minimax and maximin distance designs . J. Stat. Plan. Inference , 26 : 131 – 148 .
  • Lin , C. D. , Mukerjee , R. and Tang , B. 2009 . Construction of orthogonal and near orthogonal Latin hypercubes . Biometrika , 96 : 243 – 247 .
  • McKay , M. D. , Beckman , R. J. and Conover , W. J. 1979 . A comparison of three methods for selecting values of input variables in the analysis of output from a computer code . Technometrics , 21 : 239 – 245 .
  • Morris , M. D. and Mitchell , T. J. 1995 . Exploratory designs for computer experiments . J. Stat. Plan. Inference , 43 : 381 – 402 .
  • Nguyen , N.-K. 1996 . An algorithmic approach to constructing supersaturated designs . Technometrics , 38 : 69 – 73 .
  • Nguyen , N.-K. 2008 . A new class of orthogonal Latin hypercubes. Special volume in honour of Aloke Dey . Stat. Appl , 6 : 119 – 123 .
  • Nguyen , N.-K. and Lin , D. K. J. 2011 . A Note on small composite designs for sequential experimentation . J. Stat. Theory Pract , 5 : 109 – 117 .
  • Pang , F. , Liu , M. Q. and Lin , D. K. J. 2009 . A construction method for orthogonal Latin hypercube designs with prime power levels . Stat. Sin , 19 : 1721 – 1728 .
  • Steinberg , D. M. and Lin , D. K. J. 2006 . A construction method for Latin hypercube designs . Biometrika , 93 : 279 – 288 .
  • Sun , F. , Liu , M.Q. and Lin , D. K. J. 2009 . Construction of orthogonal Latin hypercube designs . Biometrika , 96 : 971 – 974 .
  • Sun , F. , Liu , M.Q. and Lin , D. K. J. 2010 . Second-order orthogonal Latin hypercube designs with flexible run sizes . J. Stat. Plan. Inference , 140 : 3235 – 3242 .
  • Yang , J. Y. and Liu , M. Q. 2012 . Construction of orthogonal and near orthogonal Latin hypercubes from orthogonal designs . Stat. Sin , 22 : 433 – 442 .
  • Ye , K. Q. 1998 . Orthogonal Latin hypercubes and their application in computer experiments . J. Am. Stat. Assoc , 93 : 1430 – 1439 .

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