Tools used to capture spatial relationships between observations, helping to address omitted variable bias and improve the accuracy of standard error estimates.
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Bias in Spatial Econometrics
Occurs when omitted spatial factors influence the outcome variable; can be addressed using spatial weighting matrices.
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Standard Errors in Spatial Econometrics
Traditional standard errors can be underestimated due to spatial correlation; spatial weighting matrices help construct robust standard errors.
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Cutoff Distance for Conley Standard Errors
The distance used in spatial econometrics to determine the range of spatial correlation; affects computational efficiency and accuracy in correcting for bias.
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Reflection Problem
A challenge in spatial models where endogenous effects cannot be distinguished from contextual effects due to collinearity.
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LASSO Method
A statistical method for linear regression that includes automatic feature selection and is useful for policy impact studies.
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Random Forest Method
A machine learning technique that captures complex nonlinear relationships and interactions, often used for prediction tasks.
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SUTVA
Stable Unit Treatment Value Assumption, which posits that the treatment of one unit does not affect other units; violated by spatial spillovers.
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Spatial Regression Discontinuity Design
A method of causal inference that can be complicated by overlapping administrative and treatment boundaries, affecting the continuity assumption.
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Cross Validation
A method for assessing a model's ability to generalize by partitioning data into training and validation sets.
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Google Earth Engine
A cloud-based platform that facilitates large-scale processing and analysis of satellite data.
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Spatial Data Formats
Different types of spatial data structures, including raster, polygon, and point shapefiles, used in various economic applications.
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Machine Learning in Control Variable Selection
Uses automated methods to select control variables when theoretical guidance is limited, improving model efficiency.
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Sources of Bias in Spatial Models
Include omitted spatial variables and spatial spillovers, which can be addressed with fixed effects, spatial differencing, and careful control group selection.
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Data Construction for Spatial RD Design
Involves obtaining boundary data, assigning treatment status, and ensuring accurate calculations and appropriate bandwidth.
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Spatial Autocorrelation
Occurs when residuals from observed data are correlated due to geographic proximity, potentially inflating statistical significance.
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Satellite Data in Economic Research
Provides objective measurements of economic activity and can be used to study areas lacking traditional data.
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Fixed Effects vs. Spatial Differencing
Fixed effects control for time-invariant factors; spatial differencing addresses spatially varying unobservables, each with different applicability.
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Cluster Randomization Challenges
Includes issues with reflection problems, intracluster correlation, and the need for additional control measures in spatial studies.
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Testing for Nonrandomness in Spatial Data
Utilizes various statistical methods like point pattern analysis and indicators of spatial association to assess spatial randomness.
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Endogenous vs. Contextual Effects
Endogenous effects relate to how peer outcomes influence individuals, while contextual effects relate to the influence of peer characteristics.
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Criteria for Choosing LASSO vs. Random Forest
Factors such as linearity, interpretability, computational intensity, and presence of interactions guide the choice between both methods.
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Modifiable Areal Unit Problem (MAUP)
A phenomenon where estimates vary significantly with different spatial aggregations, exacerbated by spatial correlation.
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Specifying a Spatial Weights Matrix
Involves consideration of structure, normalization, and treatment of self-connections, impacting model interpretation and identification.
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Addressing Weak Instruments in Spatial Models
Strategies include using higher-order spatial lags or features providing exogenous variation in the context of instrumental variable estimation.
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Spatial Correlation and Treatment Effects
Spatial correlation affects the precision of treatment effect estimates, requiring adjustments in standard errors and careful model selection.