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Spatial statistics

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

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Spatial statistics

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  1. 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 -> spurious results • A few examples. • Meteorology –weather patterns over a country/region • Environmental Science –pollutant concentrations over an area • Epidemiology –disease monitoring

  2. 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

  3. Computer experiments modeling • Universal kriging • Ordinary kriging

  4. Estimation

  5. Kriging example

  6. . • ordinary kriging predictor: 23

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