Adapting regression equations to minimize the mean squared error of predictions made using covariate data from a GIS

Elston, D.A. and Jayasinghe, G. and Buckland, S.T. and MacMillan, D.C. and Aspinall, R.J. (1997) Adapting regression equations to minimize the mean squared error of predictions made using covariate data from a GIS. International Journal of Geographical Information Science, 11 (3). pp. 265-280. ISSN 1365-8816 . (Access to this publication is restricted)

PDF (Adapting Regression Equations To Minimize the Mean Squared Error)
Restricted to Repository staff only
Contact us about this Publication Download (875kB)
[img]
Official URL
http://dx.doi.org/10.1080/136588197242392

Abstract

Regression equations between a response variable and candidate explanatory variables are often estimated using a training set of data from closely observed locations but are then applied using covariate data held in a GIS to predict the response variable at locations throughout a region. When the regression assumptions hold and the GIS data are free from error, this procedure gives unbiased estimates of the response variable and minimizes the prediction mean squared error. However, when the explanatory variables in the GIS are recorded with substantially greater errors than were present in the training set, this procedure does not minimize the prediction mean squared error. A theoretical argument leads to the proposal of an adaptation for regression equations to minimize the prediction mean squared error. The effectiveness of this adaptation is demonstrated by a simulation study and by its application to an equation for tree growth rate.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 75 Electronic computers. Computer science
G Geography. Anthropology. Recreation
Divisions: Faculties > Social Sciences > School of Anthropology and Conservation > DICE (Durrell Institute of Conservation and Ecology)
Depositing User: Douglas MacMillan
Date Deposited: 20 Oct 2009 14:52
Last Modified: 04 Mar 2013 14:25
Resource URI: http://kar.kent.ac.uk/id/eprint/23078 (The current URI for this page, for reference purposes)
  • Depositors only (login required):

Downloads

Downloads per month over past year