A ray method of confidence band construction for multiple linear regression models
Hayter, A.J., Liu, W. and Ah-Kine, P. (2009) A ray method of confidence band construction for multiple linear regression models. Journal of Statistical Planning and Inference, 139, (2), 329-334. (doi:10.1016/j.jspi.2008.04.029).
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This paper addresses the problem of confidence band construction for a standard multiple linear regression model. A “ray” method of construction is developed which generalizes the method of Graybill and Bowden [1967. Linear segment confidence bands for simple linear regression models. J. Amer. Statist. Assoc. 62, 403–408] for a simple linear regression model to a multiple linear regression model. By choosing suitable directions for the rays this method requires only critical points from t-distributions so that the confidence bands are easy to construct. Both one-sided and two-sided confidence bands can be constructed using this method. An illustration of the new method is provided.
|Subjects:||Q Science > QA Mathematics|
|Divisions:||University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute
University Structure - Pre August 2011 > School of Mathematics > Statistics
|Date Deposited:||28 Apr 2009|
|Last Modified:||06 Aug 2015 02:53|
Construction and Applications of Simultaneous Confidence Bands for Linear Regression Models
Funded by: EPSRC (EP/E046126/1)
Led by: Wei Liu
20 July 2007 to 19 October 2007
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