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The Limits of Mathematics and NP Estimation in ... - Chichilnisky

The Limits of Mathematics and NP Estimation in ... - Chichilnisky

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<strong>The</strong> Impact <strong>of</strong> Government-SponsoredTra<strong>in</strong><strong>in</strong>g Programs on the Labor Market Transitions <strong>of</strong> Disadvantaged Men<strong>The</strong> Impact <strong>of</strong> Government-Sponsored Tra<strong>in</strong><strong>in</strong>g Programs on the Labor Market Transitions <strong>of</strong> Disadvantaged Men 2975<strong>The</strong> last section <strong>of</strong> the panel reports the implicit correlations between the orig<strong>in</strong> <strong>and</strong> thedest<strong>in</strong>ation states. Note that the correlation matrix need not be symmetric nor does thediagonal need be equal to unity. On the other h<strong>and</strong>, the restrictions that were imposed toachieve identification <strong>of</strong> the load<strong>in</strong>g parameters imply that the first row <strong>of</strong> the matrix is equalto the first row <strong>of</strong> the matrix <strong>of</strong> the middle section.For the sake <strong>of</strong> brevity we will focus our attention on the most <strong>in</strong>terest<strong>in</strong>g correlations. <strong>The</strong>estimates suggest that those who are likely to have short welfare tra<strong>in</strong><strong>in</strong>g spells are also lesslikely to transit through welfare or JRP <strong>and</strong> more likely to enter employment (row 2). Similarly,row 3 <strong>in</strong>dicates that <strong>in</strong>dividuals who are likely to have short JRP spells are less likely to returnto either welfare or welfare tra<strong>in</strong><strong>in</strong>g <strong>in</strong> the future, <strong>and</strong> much more likely to enter employment.F<strong>in</strong>ally, those who have short UI tra<strong>in</strong><strong>in</strong>g spells (row 5) have higher transitions rates <strong>in</strong>towelfare <strong>and</strong> welfare tra<strong>in</strong><strong>in</strong>g, <strong>and</strong> lower transitions rates <strong>in</strong>to employment.<strong>The</strong>se correlations suggest there is considerable selectivity <strong>in</strong>to the tra<strong>in</strong><strong>in</strong>g programs.Furthermore, they show that those who are selected <strong>in</strong>to welfare <strong>and</strong> JRP tra<strong>in</strong><strong>in</strong>g programsappear to be different from those who participate <strong>in</strong> UI tra<strong>in</strong><strong>in</strong>g programs. As a matter <strong>of</strong> fact,all the correlation coefficients <strong>of</strong> the last section <strong>of</strong> the panel perta<strong>in</strong><strong>in</strong>g to UI tra<strong>in</strong><strong>in</strong>g havethe opposite sign to those <strong>of</strong> welfare <strong>and</strong> JRP tra<strong>in</strong><strong>in</strong>g. Consider, for example, those who haveunexpectedly long UI tra<strong>in</strong><strong>in</strong>g spells <strong>and</strong> those who have unexpectedly short welfare tra<strong>in</strong><strong>in</strong>gor JRP spells. Accord<strong>in</strong>g to the last section <strong>of</strong> the panel, all these <strong>in</strong>dividuals are more likelyto move <strong>in</strong>to employment upon exit<strong>in</strong>g their respective spells than average. Yet, the middlesection <strong>in</strong>dicates that only those on welfare tra<strong>in</strong><strong>in</strong>g or JRP are likely to have long employmentspells. Those who were on UI tra<strong>in</strong><strong>in</strong>g are more likely to have short employment spells.That those who are likely to have short JRP or welfare tra<strong>in</strong><strong>in</strong>g spells are more likely toexperiment long employment spells may be somewhat surpris<strong>in</strong>g. In fact, when study<strong>in</strong>g theimpact <strong>of</strong> the Youth Tra<strong>in</strong><strong>in</strong>g Scheme <strong>in</strong> the UK, Mealli et al. (1996) <strong>and</strong> Mealli & Pudney (2003)conjectured that early program term<strong>in</strong>ation may result from more <strong>in</strong>tensive search stemm<strong>in</strong>gfrom better than average motivation. Hence, early term<strong>in</strong>ation may be associated with ahigher probability <strong>of</strong> transition <strong>in</strong>to employment <strong>and</strong> longer employment spells. Conversely,if failure to complete the full term is a consequence <strong>of</strong> low ability <strong>and</strong> motivation, it may beassociated with poorer employment outcomes. Although we have no <strong>in</strong>formation regard<strong>in</strong>gprogram completion, our results are consistent with the first possibility, whereas those <strong>of</strong>Mealli et al. (1996) were consistent with the second possibility.5. Conclusion<strong>The</strong> analysis has focused on an exam<strong>in</strong>ation <strong>of</strong> the impact <strong>of</strong> government-sponsored tra<strong>in</strong><strong>in</strong>gprograms aimed at disadvantaged male youths on their labour market transitions. We haveelected to concentrate our attention on this group s<strong>in</strong>ce they have fared relatively poorly onthe labour market over the past decade <strong>in</strong> Canada by all accounts. <strong>The</strong> richness <strong>of</strong> the dataat our disposal has allowed us to recreate very detailed <strong>in</strong>dividual histories over a relativelylong period. As many as seven dist<strong>in</strong>ct states on the labour market could be identified <strong>in</strong> thedata.This study has applied a cont<strong>in</strong>uous time duration model to estimate the density <strong>of</strong> durationtimes <strong>in</strong> these seven states, controll<strong>in</strong>g for the endogeneity <strong>of</strong> an <strong>in</strong>dividual’s tra<strong>in</strong><strong>in</strong>g status.Most previous studies have used survey or adm<strong>in</strong>istrative data that were less amenableto the k<strong>in</strong>d <strong>of</strong> analysis performed <strong>in</strong> this chapter. Depend<strong>in</strong>g on the nature <strong>of</strong> the data,

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