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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 349recipients that experienced a spell at any time between 1987 <strong>and</strong> 1993 <strong>in</strong> the prov<strong>in</strong>ce <strong>of</strong>Québec, Canada. To be <strong>in</strong>cluded <strong>in</strong> the sample, <strong>in</strong>dividuals had to be aged 18 or 19 at anytime dur<strong>in</strong>g that period <strong>and</strong> to have less than a high-school degree. Sample stratification isused to avoid over-parameterization <strong>of</strong> the statistical model that would result if too manyexogenous variables had to be controlled for.By merg<strong>in</strong>g various adm<strong>in</strong>istrative data files we can recreate complete <strong>in</strong>dividuals’ historieson the labour market back to age 16, the legal school-leav<strong>in</strong>g age <strong>in</strong> Canada. Consequently,each <strong>in</strong>dividual <strong>in</strong> our sample is necessarily observed <strong>in</strong> the OLF state at the beg<strong>in</strong>n<strong>in</strong>g <strong>of</strong>his history. This sampl<strong>in</strong>g scheme thus removes the necessity to control for stock samplebiases <strong>and</strong> has the additional benefit <strong>of</strong> provid<strong>in</strong>g rich transition patterns over a relativelylong sample frame.<strong>The</strong> econometric model is built on cont<strong>in</strong>uous labour market transitions processes <strong>and</strong>allows entry rates <strong>in</strong>to each state to depend on observed <strong>and</strong> unobserved heterogeneitycomponents. Heterogeneity terms can be dest<strong>in</strong>ation-specific, orig<strong>in</strong>-specific or both. In allcases, correlation across heterogeneity terms is allowed. We further <strong>in</strong>vestigate the sensitivity<strong>of</strong> the parameter estimates to various distributions <strong>of</strong> the heterogeneity components. Whenparametric distribution functions are used, the model is estimated by Simulated MaximumLikelihood (SML).<strong>The</strong> rema<strong>in</strong>der <strong>of</strong> the chapter is organized as follows. Section 2 provides a detailed description<strong>of</strong> the data. Section 3 discusses the econometric model <strong>and</strong> the various statistical assumptionregard<strong>in</strong>g the distributions <strong>of</strong> the heterogeneity terms. Section 4 reports our empiricalf<strong>in</strong>d<strong>in</strong>gs. Section 5 concludes the chapter.2. Data description<strong>The</strong> basic data used for this study are drawn from the caseload records <strong>of</strong> Québec’s M<strong>in</strong>istèrede la Solidarité sociale. <strong>The</strong> files conta<strong>in</strong> <strong>in</strong>formation on all <strong>in</strong>dividuals who have receivedwelfare benefits at some time between January 1987 <strong>and</strong> December 1993. In particular, thestart dates <strong>and</strong> end dates <strong>of</strong> each welfare <strong>and</strong> welfare tra<strong>in</strong><strong>in</strong>g spells are recorded <strong>in</strong> the files.<strong>The</strong> welfare program conta<strong>in</strong>s special provisions for those who are <strong>in</strong>disposed for work due tomental or physical impediments. <strong>The</strong>se <strong>in</strong>dividuals are not <strong>in</strong>cluded <strong>in</strong> the sample. Thus thef<strong>in</strong>al sample comprises only <strong>in</strong>dividuals who have no h<strong>and</strong>icap or only a m<strong>in</strong>or, <strong>in</strong>termediate,or temporary physical h<strong>and</strong>icap. Furthermore, they are fit to work.<strong>The</strong> welfare adm<strong>in</strong>istrative files conta<strong>in</strong> no <strong>in</strong>formation on employment or unemploymentspells. Our sample was thus l<strong>in</strong>ked to the Status Vector files (SV) <strong>and</strong> the Record <strong>of</strong>Employment (ROE) files, both under the aegis <strong>of</strong> Human Resources Development Canada.<strong>The</strong>se files conta<strong>in</strong> very detailed weekly <strong>in</strong>formation on <strong>in</strong>sured unemployment spells <strong>and</strong>employment spells, respectively. <strong>The</strong> start dates <strong>and</strong> end dates <strong>of</strong> each spell are recorded<strong>in</strong> these files. Similar <strong>in</strong>formation is available with respect to tra<strong>in</strong><strong>in</strong>g spells adm<strong>in</strong>isteredunder the Unemployment Insurance (UI) program. Merg<strong>in</strong>g all three adm<strong>in</strong>istrative filesallows us to def<strong>in</strong>e seven different states on the labour market. Aside from the welfare,

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