# Figure 5 illustrates an example of a 4 x 4 census

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Unformatted text preview: cell (mi). The census is partitioned into a set of nested blocks by dividing the whole census in half, each half is divided in half, etc., keeping the halves as near square as possible, until the individual cells form the final blocks. In the 4 x 4 case 4 divisions are required (see (57) (58) and the degrees of freedom for sums of squares between blocks of size j nested within blocks of size 2j is given by, (59) (60) The analysis of variance for the hypothetical data set illustrated in Figure 5 indicates that at the p = .05 significance level the pattern is accepted as being random for all scales, with the variation between quarters within halves displaying the greatest tendency towards non-randomness. If, for any particular scale, the null hypothesis is rejected, then this is 28 Fig. 5: Hierarchical analysis of variance for scale effects 29 evidence for clustering at that scale, and Greig-Smith has suggested that the size of quadrat at that scale will be related to the 'mean area of clumping' in the pattern. The form of the test described here does not measure tendencies towards uniformity in the pattern. However, alternative significan...
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## This note was uploaded on 02/15/2012 for the course GEO 6938 taught by Professor Staff during the Summer '08 term at University of Florida.

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