Spatially Varying Coefficient Regression Models
Diagnostic and Remedial Methods for Collinearity
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The realization in the statistical and geographicalsciences that relationships between explanatoryvariables and a response variable in a regressionmodel may vary across a study area has lead to thedevelopment of regression models with spatiallyvarying coefficients. Two such models aregeographically weighted regression and Bayesianregression models with spatially varyingcoefficients. In the application of these models,inference on the regression coefficient spatialprocesses is typically of primary interest. Thepresence of collinearity necessitates the use ofdiagnostic tools in local regression ...
The realization in the statistical and geographical
sciences that relationships between explanatory
variables and a response variable in a regression
model may vary across a study area has lead to the
development of regression models with spatially
varying coefficients. Two such models are
geographically weighted regression and Bayesian
regression models with spatially varying
coefficients. In the application of these models,
inference on the regression coefficient spatial
processes is typically of primary interest. The
presence of collinearity necessitates the use of
diagnostic tools in local regression model building
to highlight areas in which the results are not
reliable for statistical inference, in addition to
presenting an opportunity for remedial methods. This
book, therefore, provides diagnostic tools and
remedial methods for spatially varying coefficient
regression models and includes real-world and
simulated examples demonstrating the utility of the
new techniques. This book sheds light on the issues
of implementing and interpreting results from these
models and should prove especially useful to spatial
data analysts in Geography, Statistics, and Public
Health.
sciences that relationships between explanatory
variables and a response variable in a regression
model may vary across a study area has lead to the
development of regression models with spatially
varying coefficients. Two such models are
geographically weighted regression and Bayesian
regression models with spatially varying
coefficients. In the application of these models,
inference on the regression coefficient spatial
processes is typically of primary interest. The
presence of collinearity necessitates the use of
diagnostic tools in local regression model building
to highlight areas in which the results are not
reliable for statistical inference, in addition to
presenting an opportunity for remedial methods. This
book, therefore, provides diagnostic tools and
remedial methods for spatially varying coefficient
regression models and includes real-world and
simulated examples demonstrating the utility of the
new techniques. This book sheds light on the issues
of implementing and interpreting results from these
models and should prove especially useful to spatial
data analysts in Geography, Statistics, and Public
Health.
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