Evaluation of the Australian Wage Subsidy Special Youth ...

Evaluation of the Australian Wage Subsidy Special Youth ... Evaluation of the Australian Wage Subsidy Special Youth ...

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236 7.2 Varying the Propensity Score specification, effects on the match The specification of the propensity score estimated by probit is vital to the propensity score matching outcome. Some variation to this specification is now examined. In this section, the variable CEP referrals is excluded from the model for the propensity score, and the effect on the matching outcome examined. Additionally, a more concise specification for the probit is estimated, using only those variables thought to have most plausible economic influence on SYETP participation and employment. The combined weighting for sample reduction due to attrition and non-response and survey design is applied in all models, with the weighting protocol for the propensity score matching as shown in the earlier chapter. 7.2.1 Propensity score matching and the effect of excluding CEP referrals Recall that the originally estimated propensity specification was designed to be as similar as possible to the Heckman modelling of Richardson (1998), as the aim had been to discover what the result would have been if propensity score matching had been used. It was earlier noted, that at least one variable in the propensity score then estimated might not satisfy the requirement that it influence both employment and participation in SYETP: namely CEP referrals. Table 7.3 shows the full results for the weighted probit when the variable CEP referrals is excluded from the model. The first column shows the former results with the original specification, while the second column is for the specification when CEP referrals is excluded. The predicted fit of the model, calculated as before 160 , shows 85 per cent of cases are predicted correctly. Thus the predictive power of the model remains acceptable, although lower than for the former weighted specification. Other scalar fit measures presented all indicate the new model to be similarly acceptable as the former model. Most changes to the coefficients and t statistics are very slight. Only the variable private 160 A fitted probability exceeding 0.5 is taken to indicate a predicted response to the survey; these predicted responses are compared to the actual participants/non-participants in SYETP to check which cases the model correctly predicted.

237 schooling that was statistically significant in the former model changes with a move to non-significance at conventional levels when CEP referrals is excluded. The distribution of the estimated propensity score prior to matching is shown in Table 7.4. It is useful to compare this distribution to that found for the weighted results using the original specification (see Table 6.5 in the previous chapter). The distribution of the estimated propensity for those in the SYETP treatment group appears only a little changed by the altered specification. In the SYETP treatment group, the limits of the distribution are very similar to those for the former specification, with only very small adjustments to the size of the largest and smallest observed propensities. The mean propensity for the SYETP treatment group is also very similar; however the median had fallen in size from roughly 0.143 to 0.135, which would indicate a slight shift down in the central peak of the distribution. The standard deviation of the propensity for the SYETP treatment group is hardly changed by the new specification. The propensity score distribution for the comparison group is also only changed slightly overall. The greatest effect appears for the lower tail of the distribution for the comparisons, where the smallest estimated propensities have greater size in the altered specification. The mean propensity, median and standard deviation for the comparisons remains very similar to that found for the former specification.

236<br />

7.2 Varying <strong>the</strong> Propensity Score specification, effects on <strong>the</strong> match<br />

The specification <strong>of</strong> <strong>the</strong> propensity score estimated by probit is vital to <strong>the</strong> propensity<br />

score matching outcome. Some variation to this specification is now examined. In this<br />

section, <strong>the</strong> variable CEP referrals is excluded from <strong>the</strong> model for <strong>the</strong> propensity score,<br />

and <strong>the</strong> effect on <strong>the</strong> matching outcome examined. Additionally, a more concise<br />

specification for <strong>the</strong> probit is estimated, using only those variables thought to have most<br />

plausible economic influence on SYETP participation and employment. The combined<br />

weighting for sample reduction due to attrition and non-response and survey design is<br />

applied in all models, with <strong>the</strong> weighting protocol for <strong>the</strong> propensity score matching as<br />

shown in <strong>the</strong> earlier chapter.<br />

7.2.1 Propensity score matching and <strong>the</strong> effect <strong>of</strong> excluding CEP referrals<br />

Recall that <strong>the</strong> originally estimated propensity specification was designed to be as similar<br />

as possible to <strong>the</strong> Heckman modelling <strong>of</strong> Richardson (1998), as <strong>the</strong> aim had been to<br />

discover what <strong>the</strong> result would have been if propensity score matching had been used. It<br />

was earlier noted, that at least one variable in <strong>the</strong> propensity score <strong>the</strong>n estimated might<br />

not satisfy <strong>the</strong> requirement that it influence both employment and participation in SYETP:<br />

namely CEP referrals.<br />

Table 7.3 shows <strong>the</strong> full results for <strong>the</strong> weighted probit when <strong>the</strong> variable CEP referrals is<br />

excluded from <strong>the</strong> model. The first column shows <strong>the</strong> former results with <strong>the</strong> original<br />

specification, while <strong>the</strong> second column is for <strong>the</strong> specification when CEP referrals is<br />

excluded. The predicted fit <strong>of</strong> <strong>the</strong> model, calculated as before 160 , shows 85 per cent <strong>of</strong><br />

cases are predicted correctly. Thus <strong>the</strong> predictive power <strong>of</strong> <strong>the</strong> model remains acceptable,<br />

although lower than for <strong>the</strong> former weighted specification. O<strong>the</strong>r scalar fit measures<br />

presented all indicate <strong>the</strong> new model to be similarly acceptable as <strong>the</strong> former model. Most<br />

changes to <strong>the</strong> coefficients and t statistics are very slight. Only <strong>the</strong> variable private<br />

160 A fitted probability exceeding 0.5 is taken to indicate a predicted response to <strong>the</strong> survey; <strong>the</strong>se predicted<br />

responses are compared to <strong>the</strong> actual participants/non-participants in SYETP to check which cases <strong>the</strong><br />

model correctly predicted.

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