A wide array of methods, as well as several dedicated ‘spatial’ econometric procedures (see, for
example, Anselin et al. 2004), for the statistical analysis of georeferenced data are available in the
literature. These techniques are useful when analysing regional unemployment data, as in our case
study, and, particularly, when the final aim is to develop forecasting models for some regional scale.
Among conventional spatial econometric methods, spatial autoregression (see, among others, Anselin
1988; Griffith 1988) is a powerful method commonly employed. Spatial autoregressive techniques take
into account spatial effects by means of geographic weights matrices that provide measures of the
spatial linkages (dependence) between values of georeferenced variables. Because of bias, statistical
efficiency concerns and the normality assumption, OLS should not be carried out with such data.
Furthermore, maximum likelihood estimators of spatial regression models are based on restrictive
assumptions. An alternative approach to spatial autoregression is the use of spatial filtering techniques,
such as the ones described in Griffith (1981), Haining (1991), Getis and Griffith (2002), and
Tiefelsdorf and Griffith (2006). The advantage of these filtering procedures is that the variables studied
(which, initially, are spatially correlated) are split into spatial and non-spatial components, which can
be employed in an OLS modelling framework. Filtering out spatially autocorrelated patterns also
enables one to reduce the stochastic noise in the residuals of conventional statistical methods such as
OLS. This conversion procedure requires the computation of ‘spatial filters.’ The approach developed
by Griffith (1996; 2000) will be briefly described here. This approach is preferred in our case study to
the one by Getis (1990; 1995), which requires variables with a natural origin. This constraint would not
allow us to analyse patterns in employment growth rates, which will be studied in the future
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example, Anselin et al. 2004), for the statistical analysis of georeferenced data are available in the
literature. These techniques are useful when analysing regional unemployment data, as in our case
study, and, particularly, when the final aim is to develop forecasting models for some regional scale.
Among conventional spatial econometric methods, spatial autoregression (see, among others, Anselin
1988; Griffith 1988) is a powerful method commonly employed. Spatial autoregressive techniques take
into account spatial effects by means of geographic weights matrices that provide measures of the
spatial linkages (dependence) between values of georeferenced variables. Because of bias, statistical
efficiency concerns and the normality assumption, OLS should not be carried out with such data.
Furthermore, maximum likelihood estimators of spatial regression models are based on restrictive
assumptions. An alternative approach to spatial autoregression is the use of spatial filtering techniques,
such as the ones described in Griffith (1981), Haining (1991), Getis and Griffith (2002), and
Tiefelsdorf and Griffith (2006). The advantage of these filtering procedures is that the variables studied
(which, initially, are spatially correlated) are split into spatial and non-spatial components, which can
be employed in an OLS modelling framework. Filtering out spatially autocorrelated patterns also
enables one to reduce the stochastic noise in the residuals of conventional statistical methods such as
OLS. This conversion procedure requires the computation of ‘spatial filters.’ The approach developed
by Griffith (1996; 2000) will be briefly described here. This approach is preferred in our case study to
the one by Getis (1990; 1995), which requires variables with a natural origin. This constraint would not
allow us to analyse patterns in employment growth rates, which will be studied in the future
http://www.kolor.com/forum/profile.php?id=36656
http://forums.msexchange.org/showprofile.aspx?memId=91470
http://www.iphonedevsdk.com/forum/members/chrisben.html
http://www.paintermagazine.co.uk/show_profile.php?username=chrisben
http://androidcommunity.com/forums/members/chrisben-189419.html