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In statistics, Cook's distance or Cook's D is a commonly used estimate of the influence of a data point when performing a least-squares regression analysis. [1] In a practical ordinary least squares analysis, Cook's distance can be used in several ways: to indicate influential data points that are particularly worth checking for validity; or to indicate regions of the design space where it ...
Where the terminology may be ambiguous, the graphs in which non-edges must be a non-unit distance apart may be called strict unit distance graphs [3] or faithful unit distance graphs. [2] The subgraphs of unit distance graphs are equivalently the graphs that can be drawn in the plane using only one edge length. [ 4 ]
Unit distance may refer to: Astronomical unit: the distance to the Sun; Unit distance graph: a graph whose lines connect points that must be a distance apart that is equal to one; Unit interval: the set of all real-numbered points on the closed interval [0,1] Unit vector: a vector normalized to length one for analytical purposes
This graph is distance regular with intersection array {7,4,1;1,2,7} and automorphism group PGL(2,7). Some first examples of distance-regular graphs include: The complete graphs. The cycle graphs. The odd graphs. The Moore graphs. The collinearity graph of a regular near polygon. The Wells graph and the Sylvester graph.
In the mathematical field of graph theory, a distance-transitive graph is a graph such that, given any two vertices v and w at any distance i, and any other two vertices x and y at the same distance, there is an automorphism of the graph that carries v to x and w to y. Distance-transitive graphs were first defined in 1971 by Norman L. Biggs and ...
In a multiplicatively weighted Voronoi diagram, the distance between a point and a site is divided by the (positive) weight of the site. [1] In the plane under the ordinary Euclidean distance , the multiplicatively weighted Voronoi diagram is also called circular Dirichlet tessellation [ 2 ] [ 3 ] and its edges are circular arcs and straight ...
The latter may occur even if the distance in the other direction between the same two vertices is defined. In the mathematical field of graph theory, the distance between two vertices in a graph is the number of edges in a shortest path (also called a graph geodesic) connecting them. This is also known as the geodesic distance or shortest-path ...
It's the third equation that's incorrect: the denominator should be p s^2, not (1+p) s^2. Primrose61 18:52, 11 November 2013 (UTC) []. The denumerator in the second equation should be p * s^2, and in the terms of MSE, s^2 = MSE * n / (n - p), where n is the number of observations, and p is the number of parameters, so the whole equation should be: