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+2.0 has a substantially higher ratio or proportion than average, and a community with a <br />Z-score of -2.0 has a substantially lower ratio or proportion than average. <br />Next, we rescaled both sets of Z-scores to percentages so that the pre-adjusted allocation <br />10 <br />would not be increased by more than 100% or decreased by more than 100%.This simply <br />changes the scale of the standardized scores; it does not change their distributions. <br />The result is a set of adjustmentfactors that can be weighted as desired to achieve the intent of <br />the policy. For example, weighting each adjustment factor at 50% would allow existing <br />affordable housing and job/worker balance to affect the adjustment step equally. <br />We weight the affordable housing adjustment at 67% and the job/worker balance adjustment at <br />33%, allowing affordable housing to have twice as much influence on the allocation as <br />job/worker balance. We do this because the existing housing stock is a more stable and place- <br />based indicator; workers are more likely to move than housing units are. <br />Table B-2 shows these calculations for Golden Valley and West St. Paul. For example, 58% of <br />Golden Valley’s existing housing units are affordable to low-income households—lower than <br />66%, theaverage share for all sewered communities. This is reflected in the Z-score of +0.34 <br />for Golden Valley’s housing measure. (The actual Z-score is -0.34, but we reverse the sign <br />because the original measure does not go in the desired direction: communities with lower-than- <br />averageexisting affordable housing shares have their allocations adjusted upwards.) West St. <br />Paul’s affordable housing share of 92%, though, is considerably higher than the average of <br />66%; it receives a Z-score of -1.03. <br />If we multiplied the pre-adjusted allocation by the standardized scores in Column C to calculate <br />the adjustments, some communities’ allocations could be negative or more than their forecasted <br />growth. The rescaled standardized scores described above avoid this problem: Golden Valley’s <br />rescaled housing score is +0.10, while West St. Paul’s is -0.30. <br />Applying weights (Column E) to the rescaled Z-scores (Column D) yields the final adjustment <br />factors (Column F): +7% for Golden Valley and -20% for West St. Paul. <br />The jobs adjustment factors work identically, although the sign of the Z-score is not flipped <br />because the original measures goes in the desired direction (communities with higher-than- <br />averagejob/worker balance ratios have their allocations adjusted upwards). <br />Note that both communities are farther from the average community with respect to job/worker <br />balance than existing affordable housing (the Z-scores are farther from 0). Because of the <br />weighting, however, the adjustment factors are equal in Golden Valley and larger for housing in <br />West St. Paul. <br />10 <br />To do this, we divide the Z-scores for affordable housing and job/worker balance by 3.44, the standardized <br />score with the highest absolute value. <br />Page -22|METROPOLITAN COUNCIL <br /> <br />