Testing local versions of correlation coefficients
The aim of this paper is to define and test local versions of standard correlation coefficients in statistical analysis. This research is motivated by the increasing number of applications using local versions of exploratory and explanatory spatial data analysis methods. A common example of the latter is local regression. Methods such as the Geographically Weighted Regression argue that it is necessary to check spatial non-stationarity in the relationships between a geographic phenomenon and its determinants. This is because the response to a stimulus could vary across space. For example the relationship between education level and unemployment could vary across the EU regions. Local regression claims to account for local relationships that may be hidden or missed when a global regression is applied. However, the statistical inference in local regression methods is still an open field for basic research. In this paper a local version of Pearson correlation coefficient is defined and tested in spatial data. By doing this a simple tool for statistical inference is provided assisting a more careful interpretation of the results of a local regression model. Furthermore, this could be a technique for testing the existence of local correlation among two variables representing spatial data in the absence of a global correlation and vice versa. The application of this technique includes pairs of usually correlated variables, such as income and high levels of education as well as not correlated variables.
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- T J Fik & G F Mulligan, 1990.
"Spatial Flows and Competing Central Places: Towards a General Theory of Hierarchical Interaction,"
Environment and Planning A,
, vol. 22(4), pages 527-549, April.
- T J Fik & G F Mulligan, 1990. "Spatial flows and competing central places: towards a general theory of hierarchical interaction," Environment and Planning A, Pion Ltd, London, vol. 22(4), pages 527-549, April.
- P J Boyle & R Flowerdew, 1993. "Modelling sparse interaction matrices: interward migration in Hereford and Worcester, and the underdispersion problem," Environment and Planning A, Pion Ltd, London, vol. 25(8), pages 1201-1209, August.
- Thomas Niedomysl, 2004. "Evaluating the effects of place-marketing campaigns on interregional migration in Sweden," Environment and Planning A, Pion Ltd, London, vol. 36(11), pages 1991-2009, November.
- Thomas Niedomysl, 2008. "Residential preferences for interregional migration in Sweden: demographic, socioeconomic, and geographical determinants," Environment and Planning A, Pion Ltd, London, vol. 40(5), pages 1109-1131, May. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:wiw:wiwrsa:ersa10p529. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Gunther Maier)
If references are entirely missing, you can add them using this form.