Course13010611555 lectures
Spatial Statistics and Spatial Econometrics
Prof. Gaurav Arora · IIIT Delhi
About
The purpose of this course is to introduce the analytical framework for analyzing spatial data and its target audience are students from social sciences (specifically, economics, political science and cognitive psychology), engineers, earth and geosciences, and applied physics. In the past decade or so, much interest has grown in the area due to readily-available spatially-delineated data, particularly when in 2008 the U.S. Geological Survey stopped charging for its high-resolution LANDSAT archive. However, modeling spatial data and spatial relationships necessitate the use of analytic tools beyond the standard statistical methods such as the ordinary least squares. Characterisation of spatial autocorrelation in spatial datasets for the purpose of statistical inference and statistical prediction is a focus of this course. In addition, we will ask: how and why does spatial autocorrelation arise; how is it measured and understood; how does it relate to issues of spatial heterogeneity and spatial dependence; and how these factors inform the specification and estimation of regression models. Specific modeling techniques include spatial autocorrelation measures (Moran's I, Geary's C, Variogram and Kriging estiators) and spatial regression models.
Intended audience: Students of physical, computation and social sciences who are interested in characterizing and modeling the spatial dimension in modern datasets and conduct statistical inference for real-world applications, including (but not restricted to) natural resource management, LULC change models, inventory management,
Prerequisites: Students should have the knowledge of basic probability and statistics, linear algebra and differential calculus
Lectures
Week 1
- Introduction to Spatial Data Analysis
- Spatial Patters and Data Generating Process
- Spatial Data Structures
- A short exercise: Land Use Land Cover Analysis
- A general spatial data model
Week 2
- Spatial Statistics: measures of variation; spatial random function
- Entropy
- Entropy-II
- Spatial Entropy
Week 3
- Spatial Entropy - II
- Spatial Autocorrelation and statistical inference
- Spatial Autocorrelation Implications for Inference- I
- Spatial Autocorrelation Implications for Inference- II
Week 4
- Spatial Autocorrelation Implications for Inference- 2-D example of spatial structure in real estate prices
- Spatial Autocorrelation Implications for Inference- Monte Carlo Simulations
- Exploratory Spatial Data Analysis
Week 5
- Exploratory Spatial Data Analysis: Example of Groundwater Data
- Stationarity in Spatial Statistics
- Stationarity in Spatial Statistics: Example of Groundwater Data
- Spatial Dependence
Week 6
- Variogram and Semivariogram
- Covariogram and Correlogram
- The experimental variogram
- The experimental variogram on an irregular lattice
- Variogram estimation
Week 7
- Variogram model fitting
- Variogram model fitting
- Non-stationary spatial domains
- Spatial interpolation and Kriging
Week 8
- Spatial Regression Analysis
- Spatial Regression Analysis
- Spatial dependence in a regression model
- Spatial dependence in a regression model
Week 9
- Generalized least squares estimation in the presence of spatial dependence
- Spatial weights matrix
- Causal Inference in spatial regression models
- Endogenous effects in a spatial regression model
- Spatially lagged variables in regression models
Week 10
- Spatially lagged variables in regression models
- LISA statistics
- Lagrange Multiplier Test for Spatial Regresison Model
- Introduction to ArcGIS Pro
- Spatial data in ArcGIS Pro
- Spatial data operations in ArcGIS Pro
Week 11
- Exploratory Analysis of Groundwater Level Data in ArcGIS Pro
- Raster data in ArcGIS Pro
- Introduction to R
- Tabular data in R
- Spatial data in R
Week 12
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIIT Delhi
- Department
- Economics
- Teacher
- Prof. Gaurav Arora
- Level
- Undergraduate
- Language
- English
- Subjects
- Economics
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Madras.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed
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