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The Benefits to Taxpayers from Increases in Students - RAND ...

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Social Program Participation and Costs 97<br />

Empirical Estimations<br />

As expla<strong>in</strong>ed before, our default strategy for estimat<strong>in</strong>g social program <strong>in</strong>come consists<br />

of a program utilization part and a program <strong>in</strong>come part that is conditional on<br />

utilization. We have used this approach <strong>to</strong> the fullest extent possible, <strong>in</strong>clud<strong>in</strong>g with<br />

those programs for which survey data <strong>in</strong>cludes not only participation but also program<br />

<strong>in</strong>come data. For others, we use the utilization part of the model and apply it <strong>to</strong> average<br />

per-person program <strong>in</strong>come estimated us<strong>in</strong>g adm<strong>in</strong>istrative data.<br />

In programs for which the data showed us a different participation or <strong>in</strong>come pattern<br />

for the elderly as opposed <strong>to</strong> the non-elderly, we ran different regressions for the<br />

two age categories.<br />

In a similar ve<strong>in</strong>, for Medicare and Medicaid we used a two-part extension of the<br />

two-part model, s<strong>in</strong>ce participation can be of two types—<strong>in</strong>patient and outpatient—<br />

with substantially different benefit levels.<br />

Welfare Programs<br />

We gathered program <strong>in</strong>come <strong>from</strong> Temporary Assistance <strong>to</strong> Needy Families, general<br />

assistance programs, and other welfare programs <strong>in</strong><strong>to</strong> a s<strong>in</strong>gle “welfare program”<br />

figure s<strong>in</strong>ce participation <strong>in</strong> any of the constituent programs was relatively low and the<br />

<strong>in</strong>come amounts were small. Utilization of welfare means that the <strong>in</strong>dividual has utilized<br />

at least one of these three programs, and welfare <strong>in</strong>come is the <strong>to</strong>tal the <strong>in</strong>dividual<br />

received across all three types of programs. <strong>The</strong> first part of the model estimates the<br />

likelihood of welfare utilization with probit, and the second part estimates the amount<br />

of welfare <strong>in</strong>come conditional on utilization with OLS. <strong>The</strong> response variable <strong>in</strong> the<br />

<strong>in</strong>come regression is the square root of <strong>to</strong>tal welfare <strong>in</strong>come for normality. Results are<br />

presented <strong>in</strong> Table C.1.<br />

Hous<strong>in</strong>g Programs<br />

<strong>The</strong> subsidized hous<strong>in</strong>g programs analyzed <strong>in</strong> this study <strong>in</strong>clude the Public Hous<strong>in</strong>g<br />

program and the Section 8 Rental Voucher program, for which participation data are<br />

available <strong>in</strong> the SIPP. We estimate <strong>in</strong>come <strong>from</strong> subsidized hous<strong>in</strong>g programs us<strong>in</strong>g the<br />

first part of the two-part model and apply<strong>in</strong>g its result <strong>to</strong> per-person average hous<strong>in</strong>g<br />

subsidy calculated <strong>from</strong> HUD data. <strong>The</strong> regression estimates the likelihood of receiv<strong>in</strong>g<br />

a hous<strong>in</strong>g subsidy (participation <strong>in</strong> at least one of the two programs) with probit.<br />

Utilization estimates are presented <strong>in</strong> Table C.2.

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