Spatial statistics
Undergraduate · Math
Syllabus focus
Topics typically covered
Click a topic for the full text and related unit practice.
Undergraduate Spatial statistics — outline derived from course README sections and typical US statistics syllabi (OpenIntro / standard OER where applicable).
Spatial data concepts
- Point and areal data — Point and areal data
- Geostatistical data types — Geostatistical data types
- Coordinate systems — Coordinate systems
- Map projections — Map projections
- Spatial autocorrelation: Moran's I — Spatial autocorrelation: Moran's I
- Variograms — Variograms
- Tobler's law — Tobler's law
- Stationarity assumptions — Stationarity assumptions
- Spatial sampling designs — Spatial sampling designs
Geostatistics
- Empirical — Empirical
- Theoretical variograms — Theoretical variograms
- Ordinary kriging — Ordinary kriging
- Kriging variance — Kriging variance
- Cross-validation — Cross-validation
- Spatial interpolation vs regression — Spatial interpolation vs regression
- Anisotropy — Anisotropy
- Nested structures (intro) — Nested structures (intro)
Spatial regression
- Spatial lag — Spatial lag
- Spatial error models (introduction) — Spatial error models (introduction)
- Point process models overview — Point process models overview
- Disease mapping — Disease mapping
- Smoothed rate estimation — Smoothed rate estimation
- Software: sp, sf, gstat in R (or GeoPandas) — Software: sp, sf, gstat in R (or GeoPandas)
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Spatial data concepts
Point and areal data
Coming soon - Geostatistics
Empirical
Coming soon - Spatial regression
Spatial lag
Coming soon
Notes
Undergraduate Spatial statistics — outline derived from course README sections and typical US statistics syllabi (OpenIntro / standard OER where applicable). Topic outline: `content/topics/undergraduate/spatial_stats.json`.