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Research project

Confidence Bands For Linear Regression - W Lui

Staff

Lead researcher

Professor Wei Liu

Professor in Mathematics

Research interests

  • Simultaneous inference (including multiple tests and simultaneous confidence bands);
  • Simultaneous tolerance bands and statistical calibration;
  • Tolerance bounds, tolerance regions and applications;
Connect with Wei

Email: W.Liu@soton.ac.uk

Collaborating research institutes, centres and groups

Statistical Sciences Research Institute (S3RI)

We use statistics and demography methodologies to improve the way data is used.

Statistics

Our research is focussed on three themes: design and analysis of experiments, statistical modelling, and biostatistics. As part of the Southampton Statistical Sciences Research Institute (S3RI), we have close links with statisticians and stochastic modellers across the University, especially those in the Division of Social Statistics and Demography.

Research outputs

Simultaneous confidence bands for all contrasts of three or more simple linear regression models over an interval
Mortaza Jamshidian, Wei Liu & Frank Bretz, 2010, Computational Statistics and Data Analysis, 54(6), 1475-1483
DOI: 10.1016/j.csda.2010.01.022
Type: article
Optimal simultaneous confidence bands in simple linear regression
Wei Liu & Pascal Ah-kine, 2010, Journal of Statistical Planning and Inference, 140(5), 1225-1235
DOI: 10.1016/j.jspi.2009.11.005
Type: article
Assessing nonsuperiority, noninferiority, or equivalence when comparing two regression models over a restricted covariate region
W. Liu, F. Bretz, A. J. Hayter & H. P. Wynn, 2009, Biometrics, 65(4), 1279-1287
DOI: 10.1111/j.1541-0420.2008.01192.x
Type: article
A ray method of confidence band construction for multiple linear regression models
A.J. Hayter, W. Liu & P. Ah-Kine, 2009, Journal of Statistical Planning and Inference, 139(2), 329-334
DOI: 10.1016/j.jspi.2008.04.029
Type: article