Spatial statistics

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Spatial statistics

• What is spatial statistics?
• Refers to a very broad collection of methods and
  techniques of visualization, exploration and
  analysis applied to data with spatial stucture.
• Spatiotemporal-when time is involved
• Why is it useful?
• A lot of data contain geographic information
• Interest in studying response patterns over a
  particular region
• Ignoring the spatial structure -gt spurious
  results
• A few examples.
• Meteorology weather patterns over a
  country/region
• Environmental Science pollutant concentrations
  over an area
• Epidemiology disease monitoring

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Properties of computer experiments

• Computer experiments refer to those experiments
  that are performed in computers using physical
  models and finite element analysis.
• Deterministic outputs (no random error)
• No replicates required
• Interpolation
• Large number of variables
• Time-consuming, expensive

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Computer experiments modeling

• Universal kriging
• Ordinary kriging

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Estimation
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Kriging example
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• ordinary kriging predictor

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