Jia Juan Liang

Education

Ph.D. in Multivariate Statistics: Hong Kong Baptist University

Master of Science in Multivariate Statistics: Nankai University, P.R. China

Bachelor of Science in Mathematics: Nankai University, P.R. China

Courses Taught

• QA118 Business Mathematics 
• QA216 Business Statistics 
• QA604 Probability & Statistics

Data analysis methods; statistical model fitting; computational methods for complicated statistical models; statistical methods for management decision making.

1. Kai-Tai Fang and Jiajuan Liang (1989). Inequalities for the partial sums of elliptical order statistics related to genetic selection. The Canadian Journal of Statistics, 17, No. 4, 439-446.
   
   
2. Zhen-Hai Yang, Kai-Tai Fang and Jiajuan Liang (1996). A characterization of multivariate normal distribution and its application. Statistics & Probability Letters, 30, 347-352. (To see the paper, click here)
   
   
3. Samuel Kotz, Kai-Tai Fang and Jiajuan Liang (1997). On multivariate vertical density representation and its application to random number generation. Statistics, 30, 163-180.
    
4. Jiajuan Liang and Peter M. Bentler (1998). Characterizations of some subclasses of spherical distributions. Statistics & Probability Letters, 40, 155-164. (To see the paper, click here)
    
5. Kai-Tai Fang, Runze Li and Jiajuan Liang (1998). A multivariate version of Ghosh T3-plot to detect non-multinormality. Computational Statistics & Data Analysis, 28, 371-386. (To see the paper, click here)
    
6. Kai-Tai Fang and Jiajuan Liang (1999). Testing spherical and elliptical symmetry. In: S. Kotz, C.B. Read and D.L. Banks (eds.), Encyclopedia of Statistical Sciences Update. John Wiley & Sons, Inc., New York, Vol. 3, 686-691.
   
   
7. Jiajuan Liang and Peter M. Bentler (1999). A t-distribution plot to detect non-multinormality. Computational Statistics & Data Analysis, 30, 31-44. (To see the paper, click here)
   
   
8. Jiajuan Liang, Runze Li, Hongbin Fang and Kai-Tai Fang (2000). Testing multinormality based on low-dimensional projection. Journal of Statistical Planning and Inference, 86, 129-141. (To see the paper, click here)
   
   
9. Jiajuan Liang and Kai-Tai Fang (2000). Some applications of Lauter's technique in tests for spherical symmetry. Biometrical Journal, 42 (8), 923-936. (To see the paper, click here)
   
   
10. Jiajuan Liang, Kai-Tai Fang, Fred J. Hickernell and Runze Li (2001). Testing multivariate uniformity and its applications. Mathematics of Computation, 70, 337-355. (To see the paper, click here)
    
    
11. Peter M. Bentler and Jiajuan Liang (2003). Two-level mean and covariance structures: maximum likelihood via an EM algorithm. In: S. Reise & N. Duan (Eds.), Multilevel Modeling: Methodological Advances, Issues, and Applications (pp. 53-70). Mahwah, NJ: Lawrence Erlbaum Associates. (To see the paper, click here)
    
    
12. Peter M. Bentler and Jiajuan Liang (2003). Simultaneous mean and covariance structure analysis for two-level structural equation models on EQS. In: H. Yanai, A. Okada, K. Shigemasu, Y. Kano, & J. J. Meulman (Eds.), New Developments in Psychometrics (pp. 123-132). Springer-Verlag, Tokyo, Japan. (To see the paper, click here)
    
    
13. Jiajuan Liang and Peter M. Bentler (2004). A new EM algorithm for fitting two-level structural equation models. Psychometrika, 69 (No. 1), 101-122. (To see the paper, click here)
    
    
14. Jiajuan Liang, William S. Y. Pan, and Zhen-Hai Yang (2004). Characterization-based Q-Q plots for testing multinormality. Statistics & Probability Letters, 70 (No. 3), 183-190. (To see the paper, click here)
    
    
15. Jiajuan Liang, Pawel Mensz, and Zhen-Hai Yang (2005). Two uniform tests for detecting non-multinormality. Chinese Journal of Applied Probability and Statistics, Vol. 21, 268-277. (To see the paper, click here)
    
    
16. Peter M. Bentler, Jiajuan Liang, and Ke-Hai Yuan (2005). Some recent advances in two-level structural equation models: estimation, testing and robustness. In: Jianqing Fan and Gang Li (Eds.), Contemporary Multivariate Analysis and Experimental Design. Pages 211-232. World Scientific Publisher. (To see the paper, click here)
    
    
17. Jiajuan Liang and William S. Y. Pan (2006). Testing the mean for business data: should one use the z-test, t-test, F-test, the chi-square test, or the p-value method? Journal of College Teaching & Learning, 3 (No. 7), 79-87. (To see the paper, click here)
    
    
18. William S. Y. Pan, Kamal Upadhyaya and Jiajuan Liang (2006). Impact of China's Yuan revaluation. International Business & Economics Research Journal, 5 (No. 11), 67-71.
    
    
19. Kai-Tai Fang, Jiajuan Liang, Fred J. Hickernell, and Runze Li (2007). A stabilized uniform Q-Q plot to detect non-multinormality. In: Agnes Chao Hsiung, Zhiliang Ying, and Cun-Hui Zhang et al (Eds.), Random Walk, Sequential Analysis and Related Topics, A Festschrift in Honor of Yuan-Shih Chow. World Scientific, New Jersey (pp. 254-268). (To see the paper, click here)
    
    
20. Linda Martin and Jiajuan Liang (2007). Likert scale data: A suggested improvement in statistical testing. Academy of Taiwan Business Management Review, 3 (No. 1), 24-30. (To see the paper, click here)
    
    
21. Jiajuan Liang and William, S. Y. Pan (2007). ANOVA for business data: what can you do if the statistical conditions are not satisfied? Journal of Global Business Issues, 1 (Issue 2) . (In press) (To see the paper, click here)
    
    
22. Jiajuan Liang, Pawel Mensz, and Wentworth Boynton (2007). Testing the mean for business data: A non-traditional approach. Academy of Taiwan Business Management Review, 3 (No. 2). (In press) (To see the paper, click here)
    
    
23. Jiajuan Liang and Kai Wang Ng (2007). A method for generating uniformly scattered points on the L_p norm unit sphere and its applications. Metrika. (In press) (To see the paper, click here)
    
    
24. Jiajuan Liang, Kai-Tai Fang, and Fred. J. Hickernell (2007). Some necessary uniform tests for spherical symmetry. The Annals of the Institute of Statistical Mathematics. (In press) (To see the paper, click here)
    
    
25. Jiajuan Liang and Linda Martin (2008). Testing the mean for dependent business data. Journal of Hospital Marketing & Public Relations. (In press) (To see the paper, click here)

1. Hongbin Fang, Kai-Tai Fang, Runze Li and Jiajuan Liang (1997). New non-central t- and F-distributions for high-dimensional mean test. Meeting presentation in: 1997 International Symposium on Multivariate Analysis and Its Applications held in Hong Kong Baptist University, May 19-22, 1997.
   
   
2. Jiajuan Liang and Peter M. Bentler (2000). Constrained maximum likelihood analysis of general two-level structural equation models via EM type algorithms. Meeting presentation in: The 2000 Annual Meeting of the Psychometric Society, held in University of British Columbia, Vancouver, Canada, July 6-8, 2000.
   
   
3. Peter M. Bentler and Jiajuan Liang (2000). General two-level mean and covariance structural equation models: maximum likelihood via EM type algorithms. Meeting presentation in: The Fifth International Conference on Logic and Methodology (October 3-6, 2000). University of Cologne, Germany.
   
   
4. Jiajuan Liang and William S. Pan (2003). Characterization-based Q-Q plots for testing multinormality. Meeting presentation in: The 2003 Hawaii International Conference on Statistics and Related Fields. June 5-8 (2003). Honolulu, Hawaii.
   
   
5. Jiajuan Liang and Peter M. Bentler (2003). Heterogeneous mean and covariance structure analysis for two-level latent variable models. Meeting presentation in: The 2003 Joint Statistical Meeting in San Francisco. August 3-7 (2003). San Francisco, CA.
   
   
6. Jiajuan Liang and Peter M. Bentler (2004). A unified approach to studying two-Level structural equation models and linear mixed effects models. Meeting presentation in: The 2004 Joint Statistical Meeting in Toronto, Canada. August 8-11 (2004).
   
   
7. Jiajuan Liang, Kai-Tai Fang, Fred J. Hickernell, and Runze Li (2005). T3-plot for testing high-dimensional spherical symmetry with low sample size data. Presentation in: The International Conference on Statistics in honor of Professor Kai-Tai Fang for his 65th Birthday, 6/20-24, 2005, Hong Kong, China.
   
   
8. Peter M. Bentler and Jiajuan Liang (2005). Testing multinormality in two-level structural equation models. Plenary talk given by Dr. Peter M. Bentler in: The International Conference on Statistics in honor of Professor Kai-Tai Fang for his 65th Birthday, 6/20-24, 2005, Hong Kong, China.
   
   
9. Jiajuan Liang and William S. Y. Pan (2005). Testing the mean for business data: using the t-test, z-test, F-test or the chi-square test? Presentation given by Dr. William Pan in: The International Business & Economics Research and College Teaching & Learning Conference, 10/3-7, 2005, Las Vegas, Nevada.
   
   
10. William S. Y. Pan, Kamal Upadhyaya and Jiajuan Liang. (2005). Impact of China's Yuan revaluation. Presentation given by Dr. William Pan in: The International Business & Economics Research and College Teaching & Learning Conference, 10/3-7, 2005, Las Vegas, Nevada.
    
    
11. Jiajuan Liang and Kai Wang Ng. A method for generating uniformly scattered points on the Lp-norm unit sphere and its applications. Paper presented in The International Conference on Statistics and Its Applications, July 9-13, 2006, Tianjin, China.
    
    
12. Jiajuan Liang and Peter M. Bentler. A dimension-reduction method for detecting non-multinormality in two-level structural equation models. International Meeting of the Psychometric Society, July 9-13, 2007, Tokyo, Japan. 

• Jiajuan Liang and Kai Wang Ng (2007). A multivariate extension to Royston's normal plot for detecting non-multinormality.
   
• Peter M. Bentler and Jiajuan Liang (2007). A unified approach to two-level structural equation models and linear mixed effects models.
  
  
• Jiajuan Liang, Man-Lai Tang, and Ping Shing Chan. (2007). Generalized Shapiro-Wilk W statistic for testing multinormality.
  
  
• Jiajuan Liang and Man-Lai Tang (2007). A generalized F-test for analyzing studies with multiple endpoints. 

Journal of Multivariate Analysis, Psychometrika, International Statistical Review, Behaviormetrika, Computational Statistics and Data Analysis, Statistics and Probability Letters, Statistica Sinica, Statistics Education Research Journal, Biometrical Journal, Communications in Statistics.

• Mr. Daniel Kuo Kwok Chuen Postgraduate Scholarship in the academic year 1996-97 in Hong Kong Baptist University;
   
• Summer Faculty Fellowship Awards in the academic years 2002, 2003, 2004, 2005, 2006 and 2007 at the University of New Haven;
  
  
• Botwinik Travel Fund Award in the academic year 2002/2003 at the University of New Haven;
  
  
• Summer Research Fund Award in the academic years 2003/2004 and 2005/2006 at the University of New Haven.
   
• Excellence in Research/Creativity Activity Award 2007 at the University of New Haven.

My Paper Citation

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