• Selected publications on experimental design

• Xu, H. and Wu, C. F. J. (2001). Generalized minimum aberration for asymmetrical fractional factorial designs.  Annals of Statistics, 29, 1066-1077.
• Xu, H. (2002). An algorithm for constructing orthogonal and nearly-orthogonal arrays with mixed levels and small runs.  Technometrics, 44, 356-368. (C source code ) (S source code )  
• Xu, H. (2003). Minimum moment aberration for nonregular designs and supersaturated designs.  Statistica Sinica, 13, 691-708.
• 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.
• Xu, H. (2005a). Some Nonregular Designs From the Nordstrom and Robinson Code and Their Statistical Properties.  Biometrika, 92, 385-397.  [pdf file]
• Xu, H. and Wu, C. F. J. (2005). Construction of Optimal Multi-Level Supersaturated Designs.  Annals of Statistics, 33, 2811-2836. [Online supplement and Xu and Wu (2003) UCLA Statistics Electronic Publications preprint 356]
• Xu, H. (2006). Blocked Regular Fractional Factorial Designs With Minimum Aberration.   Annals of Statistics, 34, 2534-2553.
• Xu, H. and Wong, A. (2007).  Two-Level Nonregular Designs From Quaternary Linear Codes.  Statistica Sinica,  17, 1191-1213.
• Xu, H. and Cheng, C. -S. (2008).  A Complementary Design Theory for Doubling.  Annals of Statistics, 36, 445-457.
• Xu, H. (2009). Algorithmic Construction of Efficient Fractional Factorial Designs With Large Run Sizes.  Technometrics, 51, 262-277.
• Phoa, F. K. H. and Xu, H. (2009). Quarter-Fraction Factorial Designs Constructed via Quaternary Codes.  Annals of Statistics, 37, No. 5A, 2561-2581.
• Xu, H., Phoa, F. K. H. and Wong, W. K. (2009). Recent Developments in Nonregular Fractional Factorial Designs. Statistics Surveys, 3, 18-46. DOI: 10.1214/08-SS040.
• Tang Y., Xu H. and Lin D. K. J. (2012).  Uniform fractional factorial designs. Annals of Statistics, 40, 891-907.
• Jaynes, J., Ding, X., Xu, H., Wong, W. K., and Ho, C.-M. (2013).  Application of Fractional Factorial Designs to Study Drug Combinations. Statistics in Medicine, 32, 307--318.  doi:10.1002/sim.5526

• Other selected publications

• Xu, H., Wu, P., Wu, C. F. J., Tidwell, C. and Wang, Y. (2002). A smooth response surface algorithm for constructing gene regulatory network. Physiological Genomics, 11, 11-20.  US patent no. 60/297299.  
• Deng, L. Y. and  Xu, H. (2003). A System of High-dimensional, Efficient, Long-cycle and  Portable Uniform Random Number Generators.   ACM Transactions on Modeling and Computer Simulation, 13, 299-309.  [Online supplement]
  
• Shen, Q. and Xu, H.  (2007).  Diagnostics for Linear Models With Functional Responses.  Technometrics, 49, 26-33.
• Yang, X., Shen, Q.,  Xu, H.  and Shoptaw, S. (2007).  Functional Regression Analysis using an F Test for Longitudinal Data with Large Numbers of Repeated Measures.  Statistics in Medicine, 26, 1552-1566. 
• Xu, H., Shen, Q., Yang, X. and Shoptaw, S. (2011).  A Quasi F Test for Functional Linear Models With Functional Covariates and its Application to Longitudinal Data. Statistics in Medicine, 30, 2842-2853.

• Refereed journal publications

1. Wang, G., Zhu, K., Ye, J., Xu, H. and Liang, P. (1996). Seafloor nodules image recognition system. Geological Review 42, 560--563 (in Chinese).
2. Xu, H. and Shen, S. (1998). Uniform designs based on computer experiments. Applied Mathematics: A Journal of Chinese Universities Series A 13, 167--174 (in Chinese).
3. Shen, S. and Xu, H. (1998). Information criterion in experimental design. Bulletin of the Hong Kong Mathematical Society 2, 65--73.
4. Xu, H. (1999). Universally optimal designs for computer experiments. Statistica Sinica, 9, 1083-1088.
5. Xu, H. and Wu, C. F. J. (2001). Generalized minimum aberration for asymmetrical fractional factorial designs.  Annals of Statistics, 29, 1066-1077.
6. Xu, H., Wu, P., Wu, C. F. J., Tidwell, C. and Wang, Y. (2002). A smooth response surface algorithm for constructing gene regulatory network. Physiological Genomics, 11, 11-20.  US patent no. 60/297299.  
7. Xu, H. (2002). An algorithm for constructing orthogonal and nearly-orthogonal arrays with mixed levels and small runs.  Technometrics, 44, 356-368. (C source code ) (S source code )  
8. Xu, H. (2003). Minimum moment aberration for nonregular designs and supersaturated designs.  Statistica Sinica, 13, 691-708.
9. Deng, L. Y. and  Xu, H. (2003). A System of High-dimensional, Efficient, Long-cycle and  Portable Uniform Random Number Generators.   ACM Transactions on Modeling and Computer Simulation, 13, 299-309.  [Online supplement] 
10. 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.
11. Xu, H. and Deng, L. Y. (2005). Moment Aberration Projection for Nonregular Fractional Factorial Designs.  Technometrics, 47, 121-131.
12. Xu, H. (2005a). Some Nonregular Designs From the Nordstrom and Robinson Code and Their Statistical Properties.  Biometrika, 92, 385-397.  [pdf file]
13. Xu, H. (2005b). A catalogue of three-level regular fractional factorial designs.  Metrika, 62, 259-281.  [online supplement]. 
14. Xu, H. and Wu, C. F. J. (2005). Construction of Optimal Multi-Level Supersaturated Designs.  Annals of Statistics, 33, 2811-2836. [Online supplement and Xu and Wu (2003) UCLA Statistics Electronic Publications preprint 356]
    
15. Xu, H. and Lau, S. (2006). Minimum Aberration Blocking Schemes for Two- and Three-Level Fractional Factorial Designs.   Journal of Statistical Planning and Inference, 136, 4088-4118.
    
16. Xu, H. (2006). Blocked Regular Fractional Factorial Designs With Minimum Aberration.   Annals of Statistics, 34, 2534-2553.
    
17. Shen, Q. and Xu, H.  (2007).  Diagnostics for Linear Models With Functional Responses.  Technometrics, 49, 26-33.
18. Yang, X., Shen, Q.,  Xu, H.  and Shoptaw, S. (2007).  Functional Regression Analysis using an F Test for Longitudinal Data with Large Numbers of Repeated Measures.  Statistics in Medicine, 26, 1552-1566. 
19. Xu, H. and Wong, A. (2007).  Two-Level Nonregular Designs From Quaternary Linear Codes.  Statistica Sinica,  17, 1191-1213.
20. Xu, H. and Cheng, C. -S. (2008).  A Complementary Design Theory for Doubling.  Annals of Statistics, 36, 445-457.
21. Xu, H. (2009). Algorithmic Construction of Efficient Fractional Factorial Designs With Large Run Sizes.  Technometrics, 51, 262-277.
22. Phoa, F. K. H. and Xu, H. (2009). Quarter-Fraction Factorial Designs Constructed via Quaternary Codes.  Annals of Statistics, 37, No. 5A, 2561-2581.
23. Phoa, F. K. H.,  Pan, Y.-H. and Xu, H. (2009).  Analysis of Supersaturated Designs via the Dantzig Selector.   Journal of Statistical Planning and Inference, 139, 2362-2372. [Preprint]
    
24. Xu, H., Phoa, F. K. H. and Wong, W. K. (2009). Recent Developments in Nonregular Fractional Factorial Designs. Statistics Surveys, 3, 18-46. DOI: 10.1214/08-SS040.
    
25. Phoa, F. K. H., Xu, H. and Wong, W. K. (2009). The use of nonregular fractional factorial designs in combination toxicity studies. Food and Chemical Toxicology, 47, 2183-2188. [Preprint]
    
26. Phoa, F. K. H., Wong, W. K. and Xu, H. (2009). The Need of Considering the Interactions in the Analysis of Screening Designs. Journal of Chemometrics, 23, 545-553. [Preprint]
27. Xu, H., and Mee, R. W. (2010).  Minimum Aberration Blocking Schemes for 128-Run Designs.  Journal of Statistical Planning and Inference,  140,  3213-3229.  [Preprint]
28. Zhang, R., Phoa, F. K. H., Mukerjee, R. and Xu, H. (2011).  A Trigonometric Approach to Quaternary Code Designs with Application to One-Eighth and One-Sixteenth Fractions. Annals of Statistics, 39, No. 2, 931-955.
29. Xu, H., Shen, Q., Yang, X. and Shoptaw, S. (2011).  A Quasi F Test for Functional Linear Models With Functional Covariates and its Application to Longitudinal Data. Statistics in Medicine, 26, 1552-1566. 
30. Phoa, F. K. H., Mukerjee, R. and Xu, H. (2012). One-Eighth- and One-Sixteenth-Fraction Quaternary Code Designs With High Resolution. Journal of Statistical Planning and Inference, 142, 1073-1080.
31. Chen, H.-W., Wong, W. K. and Xu, H.  (2012). An Augmented Approach to the Desirability Function. Journal of Applied Statistics,  39, 599-613.  DOI:10.1080/02664763.2011.605437
32. Tang Y., Xu H. and Lin D. K. J. (2012).  Uniform fractional factorial designs. Annals of Statistics, 40, 891-907.
33. Ding, X.,  Xu, H., Hopper, C.,  Yang, J. and Ho, C.-M. (2013). Use of fractional factorial designs in antiviral drug studies. Quality and Reliability Engineering International, 29, 299--304.  DOI:10.1002/qre.1308
    
34. Jaynes, J., Ding, X., Xu, H., Wong, W. K., and Ho, C.-M. (2013).  Application of Fractional Factorial Designs to Study Drug Combinations. Statistics in Medicine, 32, 307--318.  doi:10.1002/sim.5526
35. Chen, H.-W., Xu, H., and Wong, W. K. (2013). Balancing Location and Dispersion Effects for Multiple Responses. Quality and Reliability Engineering International,  29, 607-615.  DOI:10.1002/qre.1411
36. Xu, H., Jaynes, J., and Ding, X. (2013). Combining Two-Level and Three-Level Orthogonal Arrays for Factor Screening and Response Surface Exploration. Statistica Sinica, in press. doi:10.5705/ss.2012.210
37. Tang, Y. and Xu H.  (2013). An effective construction method for multi-level uniform designs. Journal of Statistical Planning and Inference, in press,   DOI: 10.1016/j.jspi.2013.04.009

• Manuscripts submitted for publication or in preparation

1. Chen, H.-W., Wong, W. K. and Xu, H.  (2012). Measuring Patients’ Disease Improvement using a Desirability Score. Submitted.
2. Zhou, Y. D. and Xu H.  (2012). Space-filling fractional factorial designs. Submitted.
3. Jaynes, J.,  Xu, H., and Wong, W. K. (2012).  Application of Blocked Fractional Factorial Designs for Discrete Choice Experiments. Submitted.

• Miscellaneous
1. Cao, H. and Xu, H. (1990). Modulo-Period Sequence of Numbers, in Mathematical Olympiad in China, edited by Chinese Mathematical Olympiad Committee, Hunan Eduation Publishing House, 50-71.  [Special edition for the 31st International Mathematical Olympiad (IMO) held in Beijing 1990].   
2. Cao, H. and Xu, H. (1992). Periodic Sequences. University of Science and Technology of China, China (in Chinese).
3. Xu, H. (1997). Optimum Criteria and Optimum Designs in Experimental Design. Ph.D. thesis, Nankai University (in Chinese).
4. Xu, H. (2001).  Optimal Factor Assignment for Asymmetrical Fractional Factorial Designs: Theory and Applications. Ph.D. thesis, University of Michigan, Ann Arbor. 
5. Berk, R. A. and Xu, H.  (2003). Comment on "Principal Stratification Approach to Broken Randomized Experiments: A Case Study of School Choice Vouchers in New York City" by J. Barnard,  C. E. Frangakis, J. L. Hill and D. B. Rubin, Journal of the American Statistical Association,  98, 318-320.
6. Xu, H. (2006),  Review of "Discovering Knowledge in Data: An Introduction to Data Mining'' by D. T. Larose,  Journal of Statistical Software, 16, Book Review  1.
   
7. Xu, H. (2006),  Review of "Design and Analysis of Experiments, Volume 2, Advanced Experimental Design" by K. Hinkelmann and O. Kempthorne,  Technometrics, 48, 571.

• Supplement to Xu (2002,  Technometrics, 44, 356-368): Algorithms: C source code and S source code. See Library of Orthogonal Arrays by Neil J. A. Sloane and a list of orthogonal arrays managed by Warren F. Kuhfeld at SAS.
• Supplement to DX Random Number Generators [Deng and Xu (2003, ACM TOMACS, 13, 299-309)]
• Online catalogue of three-level regular fractional factorial designs [Xu (2005,  Metrika, 62, 259-281)] 
  
• A list of optimal multi-level supersaturated designs [supplement to Xu and Wu (2005, Annals of Statistics, 33, 2811-2836.)]
• Xu, H. (2009).  Algorithmic Construction of Efficient Fractional Factorial Designs With Large Run Sizes.  Technometrics, 51, 262-277.