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Evaluation of the Australian Wage Subsidy Special Youth ...

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199<br />

6: Study 4 Weighting to counteract attrition and nonresponse<br />

in ALS<br />

In this chapter <strong>the</strong> combined weights are applied, which were constructed in <strong>the</strong> previous<br />

chapter to repair <strong>the</strong> data for loss due to attrition, non-response and to account for <strong>the</strong><br />

survey design. First <strong>the</strong> weights are applied to <strong>the</strong> Heckman bivariate probit modelling,<br />

and <strong>the</strong> effects discussed. Then <strong>the</strong> weights are applied to <strong>the</strong> propensity score matching<br />

(PSM). The application <strong>of</strong> weights to PSM is more complex, and <strong>the</strong> full protocol is first<br />

presented and <strong>the</strong>n <strong>the</strong> weighted results are discussed. Finally, <strong>the</strong> employment effects<br />

found from <strong>the</strong> Heckman and PSM models in <strong>the</strong> repaired data are contrasted with those<br />

formerly found. The discussion focuses on <strong>the</strong> limitations to each application.<br />

6.1 Results <strong>of</strong> weighting Heckman bivariate probit<br />

The weights accounting for attrition, non-response and survey design were constructed in<br />

<strong>the</strong> previous section. Table 6.1 shows <strong>the</strong> effect <strong>of</strong> applying this sample reduction weight<br />

to <strong>the</strong> bivariate probit <strong>of</strong> employment and SYETP participation. The first column shows<br />

<strong>the</strong> unweighted replication results to better enable comparison while <strong>the</strong> final column<br />

gives <strong>the</strong> results for <strong>the</strong> regression weighted for sample reduction and survey design.<br />

Attention is focused on <strong>the</strong> treatment effect, as indicated by <strong>the</strong> SYETP variable.<br />

An important change brought in by accounting for <strong>the</strong> sample reduction is <strong>the</strong> loss <strong>of</strong><br />

statistical significance for CEP referrals in 1984 in <strong>the</strong> SYETP participation equation. It<br />

is now less significant, although it would pass <strong>the</strong> t test at <strong>the</strong> significance level <strong>of</strong> 10 per<br />

cent. In <strong>the</strong> modelling <strong>of</strong> <strong>the</strong> treatment effect <strong>of</strong> SYETP, this is a key element <strong>of</strong> <strong>the</strong><br />

identifying restriction in <strong>the</strong> bivariate probit. Along with this change, <strong>the</strong> SYETP<br />

treatment dummy loses size and statistical significance in <strong>the</strong> employment equation. The<br />

change introduced by weighting for sample reduction strongly affects <strong>the</strong> interpretation<br />

<strong>of</strong> SYETP treatment effect. Given <strong>the</strong> coincident change in <strong>the</strong> CEP referrals in <strong>the</strong><br />

participation equation, and it’s role in <strong>the</strong> identifying restrictions for <strong>the</strong> bivariate probit,<br />

it is highly likely that adjusting for <strong>the</strong> selection effects due to attrition <strong>of</strong> <strong>the</strong> sample, has

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