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Evaluation of the Australian Wage Subsidy Special Youth ...

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231<br />

7.1.2 Exclusion restriction in <strong>the</strong> Heckman model<br />

The weighted results for <strong>the</strong> Heckman model are very different to those <strong>of</strong> <strong>the</strong><br />

unweighted, especially for <strong>the</strong> size and significance <strong>of</strong> <strong>the</strong> employment effect on SYETP.<br />

As section 5.6.1.1 found, <strong>the</strong> pr<strong>of</strong>ile <strong>of</strong> SYETP treatment varied amongst those lost to<br />

selection and attrition, and so <strong>the</strong> weights that treat this would rebalance to restore <strong>the</strong><br />

SYETP pr<strong>of</strong>ile. Thus <strong>the</strong> weighted specifications are likely to differ from <strong>the</strong> unweighted<br />

as a result <strong>of</strong> this. Some fur<strong>the</strong>r potential sources for changes to <strong>the</strong> employment effect<br />

are now investigated. As well, <strong>the</strong> robustness <strong>of</strong> <strong>the</strong> Heckman bivariate probit modelling<br />

is explored with sensitivity analysis <strong>of</strong> <strong>the</strong> specification.<br />

One <strong>of</strong> <strong>the</strong> chief considerations <strong>of</strong> <strong>the</strong> Heckman bivariate probit modelling is <strong>the</strong><br />

exclusion restriction. As was noted, in <strong>the</strong> weighted Heckman results <strong>the</strong> key variable for<br />

<strong>the</strong> restriction has no independent effect in <strong>the</strong> participation modelling, whereas in <strong>the</strong><br />

unweighted model it had been strongly statistically significant and large in size. In<br />

addition, in <strong>the</strong> weighted modelling, <strong>the</strong> hypo<strong>the</strong>sis tests <strong>of</strong> <strong>the</strong> correlation due to<br />

selection fail to reject <strong>the</strong> null hypo<strong>the</strong>sis that no selection is present. The sensitivity<br />

analysis here examines <strong>the</strong> role <strong>of</strong> <strong>the</strong> variables chosen for <strong>the</strong> exclusion restriction, and<br />

<strong>the</strong> validity <strong>of</strong> <strong>the</strong> restriction in <strong>the</strong> weighted and unweighted Heckman model.<br />

The two key variables forming <strong>the</strong> exclusion restriction are age and number <strong>of</strong> CES<br />

referrals to <strong>the</strong> CEP programme. Tables A2.6, A2.7, A2.8 in <strong>the</strong> appendix show <strong>the</strong> effect<br />

on <strong>the</strong> model <strong>of</strong> changing <strong>the</strong> specification by including <strong>the</strong>se in <strong>the</strong> employment<br />

equation. The specification remains identical to that previously estimated, but for <strong>the</strong><br />

change. Table 7.2 shows a summary <strong>of</strong> key aspects <strong>of</strong> <strong>the</strong> changes to <strong>the</strong> specification.<br />

The first two columns show <strong>the</strong> original results, unweighted and weighted. The table is<br />

<strong>the</strong>n formed <strong>of</strong> a fur<strong>the</strong>r three panels, with two columns in each panel, unweighted and<br />

weighted, where <strong>the</strong> exclusion restriction is tested by inclusion <strong>of</strong> <strong>the</strong> variables in <strong>the</strong><br />

employment equation. The first panel <strong>of</strong> new results shows inclusion <strong>of</strong> age in <strong>the</strong><br />

employment equation, <strong>the</strong> second panel gives results when CEP referrals are included in

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