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Unformatted text preview: r of points falling within each cell. We will define the individual observation as IN, which is the number of points located in the ith cell. For any pattern there will be n cells and r points. In this example n = 36 and r = 21. We obtain the frequency distribution of the point pattern by counting the number of cells containing exactly m points for all values of m between 0
Thanks are due to Peter Lloyd for permission to reproduce material from the N.W. Industrial Data Bank; to Fiona Hill for typing the original manuscript, and to Clive Thomas for preparing the diagrams. It will prove helpful if we note two obvious characteristics of the frequency array describing a particular point pattern. To be a valid representation of the pattern the frequency array must obey the following two constraints: (1 ) that is, the sum over the number of cells containing m points must equal the total number of cells, and (2) that is, multiplying the number of cells containing m points by m, and summing over m, must give the total number of points comprising the pattern. The calculation of both these form...
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