Data Features of the Weighted Standard Deviational Curve

Volume 4, Issue 4, August 2019     |     PP. 76-93      |     PDF (421 K)    |     Pub. Date: September 18, 2019
DOI:    249 Downloads     4126 Views  

Author(s)

Roger L Goodwin, Summit Point, USA

Abstract
This article presents the weighted data features of the standard deviational curve (SDC). Similar data features exist for the standard deviational ellipse (SDE). This paper presents weighted data features for the SDC which include the angle of rotation, the minimum and maximum standard deviation, the area, and the circulatory index. Performed correctly, weighted features give a better use of the areal data points. The additional computations of weighted data features are no more difficult than those of the unweighted data features.

Keywords
Spatial Analysis, data features, curve, angle of rotation, area, standard deviations, circulatory index

Cite this paper
Roger L Goodwin, Data Features of the Weighted Standard Deviational Curve , SCIREA Journal of Agriculture. Volume 4, Issue 4, August 2019 | PP. 76-93.

References

[ 1 ] B. L. Bowerman and R. T. O'Connell, Linear Statistical Models, An Applied Approach, Duxbury Press, Wadsworth Publishing Company, Belmont, CA, 1990.
[ 2 ] J. Gong, "Clarifying the Standard Deviational Ellipse," Geographical Analysis, Vol. 34, No. 2, April 2002, pp. 155-167.
[ 3 ] E. T. Lee, Statistical Methods for Survival Data Analysis, Second Edition, John Wiley & Sons, Inc., New York, 1992.
[ 4 ] W. Lefever, "Measuring Geographic Concentration by Means of the Standard Deviational Ellipse," The American Journal of Sociology, Vol. 32, No. 1, Jul 1926, pp. 88-94.
[ 5 ] G. B. Thomas and R. L. Finney, Calculus and Analytic Geometry, Fifth Edition, Addison Wesley Publishing Company, Reading Massachusetts, 1981.
[ 6 ] A. Wood, "A Bimodal Distribution on the Sphere, Journal of the Royal Statistical Society, Series C (Applied Statistics), Vol. 31, No. 1, 1982, pp. 52-58.
[ 7 ] R. S. Yuill, "The Standard Deviational Ellipse: An Updated Tool for Spatial Description," Geografiska Annaler, Series B. Human Geography, Vol. 53, No. 1, 1971, pp. 28-39.