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The Spatial Concentration of Subsidized Housing - Poverty & Race ...

The Spatial Concentration of Subsidized Housing - Poverty & Race ...

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y subsidy type. <strong>The</strong> correlation between the absolute number and percent <strong>of</strong> totalunits is .96 at the census tract level, so it is possible to use the absolute number ratherthan the percent as a measure <strong>of</strong> concentration without significantly changing theresults. All variables were entered at equal weight.Only one case was excluded because the number <strong>of</strong> subsidized units in thistract (6,002 units) exceeded by two times the number in the next highest census tract.This one tract was causing the cluster analysis not to converge on a parsimonioussolution and was therefore excluded.<strong>The</strong> number <strong>of</strong> subsidized units at the census tract is highly skewed. <strong>The</strong>re are8,253 census tracts with zero subsidized units and 14,732 tracts with under 10subsidized units. In order to incorporate this scale effect, the cluster analysis wasconducted using several cut-<strong>of</strong>f points along the distribution <strong>of</strong> subsidized housingunits. Cut-points at 100 and 200 subsidized units in the census tract resulted in a 9-cluster solution that captured the detail <strong>of</strong> low (under 50 units), medium (50- 200units) and high (over 200 units) subsidized census tracts.A two-step cluster method was selected because this method is able to identifythe number <strong>of</strong> clusters that best fit the data rather than setting the number <strong>of</strong> clustersahead <strong>of</strong> time as in the k-means cluster method. Based on this a 9-cluster solution wasarrived at. A sensitivity analysis was conducted to test for the validity <strong>of</strong> the 9-clustersolution using greater or fewer clusters by varying the cut-<strong>of</strong>f points. A 6-cluster90

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