Spatial Statistics

1
Spatial Statistics

• Wei Ding, Spring 2007

2
Some Thoughts

• It is hard to find a general spatial statistics
  paper. In the following slides, I recommend a
  workshop, a professor, two websites, and one
  book, which are related with spatial statistics.
  

3
A Good WorkshopShort Course Introduction to
Spatial Data Analysis at UIUC, Luc Anselin
Wei please read the course outline, it includes
many good paper references

• The course is organized into six broad topics
  (http//www.csiss.org/events/workshops/2002/data20
  02/outline.pdf)
• Concepts what makes spatial data analysis
  different, some basic GIS concepts, understanding
  of the paradigms in spatial data analysis
• Geovisualization the visualization and
  exploration of spatial data, dynamically linked
  windows, outlier analysis, smoothing of maps for
  rates.
• Point pattern analysis assessing whether a
  pattern of locations (points) is clustered,
  spatial point processes, nearest neighbor
  statistics, second order statistics, bivariate
  and space-time point patterns.
• Spatial autocorrelation analysis descriptive
  statistics for spatial autocorrelation,
  constructing spatial weights, visualizing spatial
  autocorrelation, local indicators of spatial
  association, multivariate spatial correlation
• Geostatistics the geostatistical perspective,
  variograms, kriging
• Spatial regression specifying spatial
  econometric models, spatial externalities,
  estimation methods, specification tests

4
An Interesting Professor

• http//sal.uiuc.edu/users/anselin/
• Research Projects
• Geovisualization and Spatial Analysis of Cancer
  Data (NCI)
• The sensitivity of concentration-response
  functions to the explicit modeling of space-time
  dependence (NSF/EPA)
• Center for Spatially Integrated Social Science
  (NSF)
• A web-based spatial analytic toolkit for the
  study of homicide data (NCOVR)

5
A Good Website

• the Center for Spatially Integrated Social
  Science (CSISS) main site, especially its
  learning materials, syllabi and search engines,
  http//www.csiss.org/
• Summer Workshops 2002 Video Clips - Spatial
  Pattern Analysis in a GIS Environment
  http//www.csiss.org/streaming_video/2002/spa.html
  
• The Nature of Spatial Pattern Analysis, Art Getis
  
• Problems Associated with Spatial Pattern
  Analysis, Art Getis
• An Introduction to GIS, Mike Goodchild
• GIS Functionality, Mike Goodchild
• Current Technologies in GIS, Mike Goodchild
• Spatial Patterns of Birth Data, John R. Weeks
• Spatial Patterns of Fertility in Egypt, John R.
  Weeks

Wei I checked several clips, the quality is good.
6
Another Good WebsiteSpatial Statistics
Softwarehttp//www.spatial-statistics.com/

• The company website collects useful information
  on
• Spatial autoregressions (SAR)
• Conditional spatial autoregressions (CAR)
• Mixed regressive spatially autoregressive (MRSA)
• Exact log-determinant computations
• Nearest neighbors
• Contiguity/contiguous observations
• Spatial temporal routines
• Multivariate dependence
• Matrix exponential spatial specifications
• Doubly stochastic weight matrices
• Spatial autoregressive local estimation
• Log-determinant approximations

7
A Good Book
http//www.amazon.com/Elementary-Statistics-Geogra
phers-James-Burt/dp/0898629993

• It is a popular textbook used by undergraduate or
  first year graduate students.
• Review"It has been difficult to find a good
  introductory statistics text that can be used
  with a class consisting of both physical and
  social science students. This textbook meets that
  demand by incorporating a good number of examples
  from both aspects of the discipline and including
  thorough discussions of introductory spatial
  statistics....Should prove useful as both a
  classroom textbook and a basic statistical
  reference." -David R. Legates,University of
  Oklahoma"Burt and Barber have extended and
  modernized a text that has long served geography
  students as a methodological foundation....This
  text will find its place in upper-level
  undergraduate courses and first-year graduate
  study for those with limited statistics
  backgrounds." -Randall W. Jackson,Ohio State
  University"The text is very well organized and
  contains a wealth of excellent examples and
  diagrams. Chapters on time-series and
  computer-intensive methods are particularly
  valuable."-Scott Robeson, Indiana University