API reference

A-DBSCAN

esda.adbscan.ADBSCAN(eps, min_samples[, ...])

A-DBSCAN, as introduced in [ABGLopezVM21].

Gamma Statistic

esda.Gamma(y, w[, operation, standardize, ...])

Gamma index for spatial autocorrelation

Geary Statistics

esda.Geary(y, w[, transformation, permutations])	Global Geary C Autocorrelation statistic
esda.Geary_Local([connectivity, labels, ...])	Local Geary - Univariate
esda.Geary_Local_MV([connectivity, ...])	Local Geary - Multivariate

Getis-Ord Statistics

esda.G(y, w[, permutations])	Global G Autocorrelation Statistic
esda.G_Local(y, w[, transform, ...])	Generalized Local G Autocorrelation

Join Count Statistics

esda.Join_Counts(y, w[, permutations, ...])

Binary Join Counts

Join Count Local Statistics

esda.Join_Counts_Local([connectivity, ...])	Univariate Local Join Count Statistic
esda.Join_Counts_Local_BV([connectivity, ...])	Univariate Local Join Count Statistic
esda.Join_Counts_Local_MV([connectivity, ...])	Multivariate Local Join Count Statistic

LOSH Statistics

esda.LOSH([connectivity, inference])

Local spatial heteroscedasticity (LOSH)

Modifiable Areal Unit Tests

esda.Smaup(n, k, rho)

S-maup: Statistical Test to Measure the Sensitivity to the Modifiable Areal Unit Problem.

Moran Statistics

esda.Moran(y, w[, transformation, ...])	Moran's I Global Autocorrelation Statistic
esda.Moran_BV(x, y, w[, transformation, ...])	Bivariate Moran's I
esda.Moran_BV_matrix(variables, w[, ...])	Bivariate Moran Matrix
esda.Moran_Local(y, w[, transformation, ...])	Local Moran Statistics.
esda.Moran_Local_BV(x, y, w[, ...])	Bivariate Local Moran Statistics.
esda.Moran_Rate(e, b, w[, adjusted, ...])	Adjusted Moran's I Global Autocorrelation Statistic for Rate Variables [AR99]
esda.Moran_Local_Rate(e, b, w[, adjusted, ...])	Adjusted Local Moran Statistics for Rate Variables [AR99].

Shape Statistics

esda.shape.boundary_amplitude(collection)	The boundary amplitude (adapted from Wang & Huang (2012)) is the length of the boundary of the convex hull divided by the length of the boundary of the original shape.
esda.shape.convex_hull_ratio(collection)	ratio of the area of the convex hull to the area of the shape itself
esda.shape.diameter_ratio(collection[, rotated])	The Flaherty & Crumplin (1992) length-width measure, stated as measure LW_7 in [Alt98].
esda.shape.equivalent_rectangular_index(...)	Deviation of a polygon from an equivalent rectangle
esda.shape.form_factor(collection, height)	Computes volumetric compactness
esda.shape.isoareal_quotient(collection)	The Isoareal quotient, defined as the ratio of a polygon's perimeter to the perimeter of the equi-areal circle
esda.shape.isoperimetric_quotient(collection)	The Isoperimetric quotient, defined as the ratio of a polygon's area to the area of the equi-perimeter circle.
esda.shape.length_width_diff(collection)	The Eig & Seitzinger (1981) shape measure, defined as:
esda.shape.minimum_bounding_circle_ratio(...)	The Reock compactness measure, defined by the ratio of areas between the minimum bounding/containing circle of a shape and the shape itself.
esda.shape.moa_ratio(collection)	Computes the ratio of the second moment of area (like Li et al (2013)) to the moment of area of a circle with the same area.
esda.shape.moment_of_inertia(collection)	Computes the moment of inertia of the polygon.
esda.shape.nmi(collection)	Computes the Normalized Moment of Inertia from Li et al (2013), recognizing that it is the relationship between the area of a shape squared divided by its second moment of area.
esda.shape.radii_ratio(collection)	The Flaherty & Crumplin (1992) index, OS_3 in [Alt98].
esda.shape.rectangularity(collection)	Ratio of the area of the shape to the area of its minimum bounding rotated rectangle
esda.shape.reflexive_angle_ratio(collection)	The Taylor reflexive angle index, measure OS_4 in [Alt98]
esda.shape.second_areal_moment(collection)	Using equation listed on en.wikipedia.org/wiki/Second_moment_of_area#Any_polygon, the second moment of area is the sum of the inertia across the x and y axes:
esda.shape.shape_index(collection)	Schumm’s shape index (Schumm (1956) in MacEachren 1985)
esda.shape.squareness(collection)	Measures how different is a given shape from an equi-areal square

Silhouette Statistics

esda.boundary_silhouette(data, labels, W[, ...])	Compute the observation-level boundary silhouette score [WKR19].
esda.path_silhouette(data, labels, W[, D, ...])	Compute a path silhouette for all observations [Rou87, WKR19].
esda.silhouettes.nearest_label(data, labels)	Find the nearest label in attribute space.

Spatial Pearson Statistics

esda.Spatial_Pearson([connectivity, ...])

Global Spatial Pearson Statistic

Utility Functions

esda.fdr(pvalues[, alpha])

Calculate the p-value cut-off to control for the false discovery rate (FDR) for multiple testing.