Measures of Spatial Central Tendency
The coordinate-wise mean of a point set is the centroid, which solves the same variational problem in the plane (or higher dimensional Euclidean space) that the familiar average solves on the real line — that is, the centroid has the smallest possible average squared distance to all points in the set.
Read more about this topic: Spatial Descriptive Statistics
Famous quotes containing the words measures of, measures, central and/or tendency:
“There are other measures of self-respect for a man, than the number of clean shirts he puts on every day.”
—Ralph Waldo Emerson (1803–1882)
“The reliance on authority measures the decline of religion, the withdrawal of the soul.”
—Ralph Waldo Emerson (1803–1882)
“The Federal Constitution has stood the test of more than a hundred years in supplying the powers that have been needed to make the Central Government as strong as it ought to be, and with this movement toward uniform legislation and agreements between the States I do not see why the Constitution may not serve our people always.”
—William Howard Taft (1857–1930)
“It is certain that the only hope of retroductive reasoning ever reaching the truth is that there may be some natural tendency toward an agreement between the ideas which suggest themselves to the human mind and those which are concerned in the laws of nature.”
—Charles Sanders Peirce (1839–1914)