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Evaluation of the Australian Wage Subsidy Special Youth ...

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3.3 Data and variables used for estimation ................................................................... 99<br />

3.4 Replication results................................................................................................. 101<br />

3.5 Discussion............................................................................................................. 103<br />

4: Study 2 Propensity score matching for SYETP.......................................................... 111<br />

4.1 Differences between <strong>the</strong> treatment and comparison group................................... 112<br />

4.2 Propensity score matching methods...................................................................... 115<br />

4.3 Theory underlying propensity score matching methods....................................... 116<br />

4.4 The propensity score matching protocol implemented......................................... 119<br />

4.5 Estimating <strong>the</strong> probability <strong>of</strong> participation for SYETP ........................................ 122<br />

4.6 Distribution <strong>of</strong> <strong>the</strong> propensity score...................................................................... 127<br />

4.7 Common support for <strong>the</strong> treated ........................................................................... 128<br />

4.8 Results <strong>of</strong> Matching: one-to-one nearest-neighbour............................................. 132<br />

4.8.1 Discussion <strong>of</strong> <strong>the</strong> results .................................................................... 132<br />

4.8.2 Mean standardised bias statistic......................................................... 136<br />

4.9 Sensitivity analysis: all-in-Radius matching......................................................... 139<br />

4.10 Discussion........................................................................................................... 141<br />

5: Study 3 Attrition and non-response in <strong>the</strong> ALS.......................................................... 145<br />

5.1 Examining sample reduction in <strong>the</strong> ALS.............................................................. 145<br />

5.2 Theory <strong>of</strong> why attrition introduces bias................................................................ 146<br />

5.3 Empirical aspects <strong>of</strong> <strong>the</strong> effects <strong>of</strong> attrition on estimates ..................................... 149<br />

5.4 Empirical attrition test and treatment.................................................................... 150<br />

5.5 Examining <strong>the</strong> role <strong>of</strong> attrition in <strong>the</strong> ALS and in modelling <strong>of</strong> <strong>the</strong> SYETP<br />

employment effect ...................................................................................................... 152<br />

5.5.1 Extent <strong>of</strong> sample reduction .................................................................... 152<br />

5.5.2 Univariate examination <strong>of</strong> sample reduction ......................................... 155<br />

5.5.3 Sample reduction by SYETP treatment group....................................... 160<br />

5.5.3.1 Comparing those lost in attrition to those who remain................... 160<br />

5.5.3.2 The effect <strong>of</strong> sample reduction on <strong>the</strong> difference between SYETP and<br />

comparison groups...................................................................................... 164<br />

5.5.4 Attrition: natural attrition or analytical sample reduction?.................... 167<br />

5.6 Accounting for non-response and sample design ................................................. 172<br />

5.6.1 Survey design and non-response effects on modelling.......................... 176<br />

5.6.1.1 Analytical selection......................................................................... 176<br />

5.6.1.2 Effects <strong>of</strong> <strong>the</strong> non-response to 1984 Survey on <strong>the</strong> participation<br />

model........................................................................................................... 183<br />

5.7 Multivariate analysis <strong>of</strong> effects <strong>of</strong> sample reduction ............................................ 187<br />

5.7.1 Accounting for item non-response......................................................... 187<br />

5.7.2 Sample reduction effects on model <strong>of</strong> SYETP participation................. 189<br />

5.8 Model <strong>of</strong> <strong>the</strong> probability <strong>of</strong> attrition ..................................................................... 192<br />

5.9 Attrition Weights from <strong>the</strong> model......................................................................... 196<br />

5.10 Conclusions......................................................................................................... 196<br />

6: Study 4 Weighting to counteract attrition and non-response in ALS......................... 199<br />

6.1 Results <strong>of</strong> weighting Heckman bivariate probit.................................................... 199<br />

6.2 Results <strong>of</strong> weighting <strong>the</strong> PSM............................................................................... 207<br />

6.2.1 Weighting protocol ................................................................................ 207<br />

6.2.2 Effects <strong>of</strong> weighting PSM...................................................................... 208<br />

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