![]() Where x and y are the coordinates for feature i, represent the Mean Center for the features and n is equal to the total number of features. The Standard Deviational Ellipse is given as: The latter is termed a weighted standard deviational ellipse. You can calculate the standard deviational ellipse using either the locations of the features or the locations influenced by an attribute value associated with the features. While you can get a sense of the orientation by drawing the features on a map, calculating the standard deviational ellipse makes the trend clear. The ellipse or ellipsoid allows you to see if the distribution of features is elongated and hence has a particular orientation. In 3D, the standard deviation of the z-coordinates from the mean center are also calculated and the result is referred to as a standard deviational ellipsoid. ![]() The ellipse is referred to as the standard deviational ellipse, since the method calculates the standard deviation of the x-coordinates and y-coordinates from the mean center to define the axes of the ellipse. These measures define the axes of an ellipse (or ellipsoid) encompassing the distribution of features. A common way of measuring the trend for a set of points or areas is to calculate the standard distance separately in the x-, y- and z-directions.
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