The forgotten semantics of regression modelling in Geography

A - Papers appearing in refereed journals

Comber, L., Harris, P., Lu, Y., Wu, L. and Atkinson, P. M. 2019. The forgotten semantics of regression modelling in Geography. Geographical Analysis . pp. 1-22.

AuthorsComber, L., Harris, P., Lu, Y., Wu, L. and Atkinson, P. M.
Abstract

This article is concerned with the semantics associated with the statistical analysis of spatial data. It takes the simplest case of the prediction of variable y as a function
of covariate(s) x, in which predicted y is always an approximation of y and only ever a function of x, thus, inheriting many of the spatial characteristics of x, and illustrates several core issues using “synthetic” remote sensing and “real” soils case studies. The outputs of regression models and, therefore, the meaning of predicted y, are shown to vary due to (1) choices about data: the specification of x (which covariates to include), the support of x (measurement scales and granularity), the measurement of x and the error of x, and (2) choices about the model including its functional form and the method of model identification. Some of these issues are more widely recognized than others. Thus, the study provides definition to the multiple ways in which regression prediction and inference are affected by data and model choices. The article invites researchers to pause and consider the semantic meaning of predicted y, which is often nothing more than a scaled version of covariate(s) x, and argues that it is naive to ignore this.

Year of Publication2019
JournalGeographical Analysis
Journal citationpp. 1-22
Digital Object Identifier (DOI)doi:10.1111/gean.12199
Web address (URL)https://doi.org/10.1111/gean.12199
Open accessPublished as green open access
FunderNatural Environment Research Council
Funder project or codeNE/N007433/1
Publisher's version
Output statusPublished
Publication dates
Online29 May 2019
Publication process dates
Accepted04 Mar 2019
PublisherWiley
ISSN1538-4632

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