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Course13010611555 lectures

Spatial Statistics and Spatial Econometrics

Prof. Gaurav Arora · IIIT Delhi

Start with lecture 1 At NPTEL

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

  1. Introduction to Spatial Data Analysis YouTube
  2. Spatial Patters and Data Generating Process YouTube
  3. Spatial Data Structures YouTube
  4. A short exercise: Land Use Land Cover Analysis YouTube
  5. A general spatial data model YouTube

Week 2

  1. Spatial Statistics: measures of variation; spatial random function YouTube
  2. Entropy YouTube
  3. Entropy-II YouTube
  4. Spatial Entropy YouTube

Week 3

  1. Spatial Entropy - II YouTube
  2. Spatial Autocorrelation and statistical inference YouTube
  3. Spatial Autocorrelation Implications for Inference- I YouTube
  4. Spatial Autocorrelation Implications for Inference- II YouTube

Week 4

  1. Spatial Autocorrelation Implications for Inference- 2-D example of spatial structure in real estate prices YouTube
  2. Spatial Autocorrelation Implications for Inference- Monte Carlo Simulations YouTube
  3. Exploratory Spatial Data Analysis YouTube

Week 5

  1. Exploratory Spatial Data Analysis: Example of Groundwater Data YouTube
  2. Stationarity in Spatial Statistics YouTube
  3. Stationarity in Spatial Statistics: Example of Groundwater Data YouTube
  4. Spatial Dependence YouTube

Week 6

  1. Variogram and Semivariogram YouTube
  2. Covariogram and Correlogram YouTube
  3. The experimental variogram YouTube
  4. The experimental variogram on an irregular lattice YouTube
  5. Variogram estimation YouTube

Week 7

  1. Variogram model fitting YouTube
  2. Variogram model fitting YouTube
  3. Non-stationary spatial domains YouTube
  4. Spatial interpolation and Kriging YouTube

Week 8

  1. Spatial Regression Analysis YouTube
  2. Spatial Regression Analysis YouTube
  3. Spatial dependence in a regression model YouTube
  4. Spatial dependence in a regression model YouTube

Week 9

  1. Generalized least squares estimation in the presence of spatial dependence YouTube
  2. Spatial weights matrix YouTube
  3. Causal Inference in spatial regression models YouTube
  4. Endogenous effects in a spatial regression model YouTube
  5. Spatially lagged variables in regression models YouTube

Week 10

  1. Spatially lagged variables in regression models YouTube
  2. LISA statistics YouTube
  3. Lagrange Multiplier Test for Spatial Regresison Model YouTube
  4. Introduction to ArcGIS Pro YouTube
  5. Spatial data in ArcGIS Pro YouTube
  6. Spatial data operations in ArcGIS Pro YouTube

Week 11

  1. Exploratory Analysis of Groundwater Level Data in ArcGIS Pro YouTube
  2. Raster data in ArcGIS Pro YouTube
  3. Introduction to R YouTube
  4. Tabular data in R YouTube
  5. Spatial data in R YouTube

Week 12

  1. Computing experimental variograms in R - I YouTube
  2. Computing experimental variograms in R - II YouTube
  3. Fitting model variograms in R YouTube
  4. Kriging and cross-validation in R YouTube
  5. Spatial linear regression in R - I YouTube
  6. Spatial linear regression in R - II YouTube

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.
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