Ebook: Modelling Spatial Processes: The Identification and Analysis of Spatial Relationships in Regression Residuals by Means of Moran's I

A novel methodology is put forward in this book, which empowers researchers to investigate and identify potential spatial processes among a set of regions. Spatial processes and their underlying functional spatial relationships are commonly observed in the geosciences and related disciplines. Examples are spatially autocorrelated random variables manifesting themselves in distinct global patterns as well as local clusters and hot spots, or spatial interaction leading to stochastic ties among the regions. An example from observational epidemiology demonstrates the flexibility of Moran's approach by analyzing the spatial distribution of cancer data from several perspectives. Recent advances in computing technology, computer algorithms, statistical techniques and global and local spatial patterns by means of Moran's I feasability. Moran's I is an extremely versatile tool for exploring and analyzing spatial data and testing spatial hypotheses.

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A novel methodology is put forward in this book, which empowers researchers to investigate and identify potential spatial processes among a set of regions. Spatial processes and their underlying functional spatial relationships are commonly observed in the geosciences and related disciplines. Examples are spatially autocorrelated random variables manifesting themselves in distinct global patterns as well as local clusters and hot spots, or spatial interaction leading to stochastic ties among the regions. An example from observational epidemiology demonstrates the flexibility of Moran's approach by analyzing the spatial distribution of cancer data from several perspectives. Recent advances in computing technology, computer algorithms, statistical techniques and global and local spatial patterns by means of Moran's I feasability. Moran's I is an extremely versatile tool for exploring and analyzing spatial data and testing spatial hypotheses.

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A novel methodology is put forward in this book, which empowers researchers to investigate and identify potential spatial processes among a set of regions. Spatial processes and their underlying functional spatial relationships are commonly observed in the geosciences and related disciplines. Examples are spatially autocorrelated random variables manifesting themselves in distinct global patterns as well as local clusters and hot spots, or spatial interaction leading to stochastic ties among the regions. An example from observational epidemiology demonstrates the flexibility of Moran's approach by analyzing the spatial distribution of cancer data from several perspectives. Recent advances in computing technology, computer algorithms, statistical techniques and global and local spatial patterns by means of Moran's I feasability. Moran's I is an extremely versatile tool for exploring and analyzing spatial data and testing spatial hypotheses.
Content:
Front Matter....Pages -
Introduction....Pages 1-8
The regression model....Pages 13-22
The specification of spatial relations....Pages 23-35
Gaussian spatial processes....Pages 37-54
The characteristic function....Pages 59-66
Numerical evaluation of Imhof's formula....Pages 67-73
The exact distribution of Moran's I ....Pages 75-88
The shape of Moran's I exact distribution....Pages 89-98
The moments of Moran's I ....Pages 99-111
The basic ecological model and spatial setting....Pages 117-128
A spatial analysis of the cancer data....Pages 129-145
Conclusions....Pages 147-151
Back Matter....Pages -

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A novel methodology is put forward in this book, which empowers researchers to investigate and identify potential spatial processes among a set of regions. Spatial processes and their underlying functional spatial relationships are commonly observed in the geosciences and related disciplines. Examples are spatially autocorrelated random variables manifesting themselves in distinct global patterns as well as local clusters and hot spots, or spatial interaction leading to stochastic ties among the regions. An example from observational epidemiology demonstrates the flexibility of Moran's approach by analyzing the spatial distribution of cancer data from several perspectives. Recent advances in computing technology, computer algorithms, statistical techniques and global and local spatial patterns by means of Moran's I feasability. Moran's I is an extremely versatile tool for exploring and analyzing spatial data and testing spatial hypotheses.
Content:
Front Matter....Pages -
Introduction....Pages 1-8
The regression model....Pages 13-22
The specification of spatial relations....Pages 23-35
Gaussian spatial processes....Pages 37-54
The characteristic function....Pages 59-66
Numerical evaluation of Imhof's formula....Pages 67-73
The exact distribution of Moran's I ....Pages 75-88
The shape of Moran's I exact distribution....Pages 89-98
The moments of Moran's I ....Pages 99-111
The basic ecological model and spatial setting....Pages 117-128
A spatial analysis of the cancer data....Pages 129-145
Conclusions....Pages 147-151
Back Matter....Pages -
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