Spatial Descriptive Statistics - Measures of Spatial Dispersion

Measures of Spatial Dispersion

Dispersion captures the degree to which points in a point set are separated from each other. For most applications, spatial dispersion should be quantified in a way that is invariant to rotations and reflections. Several simple measures of spatial dispersion for a point set can be defined using the covariance matrix of the coordinates of the points. The trace, the determinant, and the largest eigenvalue of the covariance matrix can be used as measures of spatial dispersion.

A measure of spatial dispersion that is not based on the covariance matrix is the average distance between nearest neighbors.

Read more about this topic:  Spatial Descriptive Statistics

Famous quotes containing the words measures of, measures and/or dispersion:

    Those who, while they disapprove of the character and measures of a government, yield to it their allegiance and support are undoubtedly its most conscientious supporters, and so frequently the most serious obstacles to reform.
    Henry David Thoreau (1817–1862)

    ... moral certainty is certainty which is sufficient to regulate our behaviour, or which measures up to the certainty we have on matters relating to the conduct of life which we never normally doubt, though we know that it is possible, absolutely speaking, that they may be false.
    René Descartes (1596–1650)

    The slogan offers a counterweight to the general dispersion of thought by holding it fast to a single, utterly succinct and unforgettable expression, one which usually inspires men to immediate action. It abolishes reflection: the slogan does not argue, it asserts and commands.
    Johan Huizinga (1872–1945)