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Education, Employment and Earnings of Secondary School-Leavers ...

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where φ(·) denotes the probability density function for the st<strong>and</strong>ard normal.These selection terms are analogous to those computed using the more conventionaltwo-step Heckman procedure. The relevant selection terms are then added to the x ivector in the interval regression models. Instruments are required to identify theparameters <strong>of</strong> the selection effects in the earnings equation. These need to be chosensuch that they shift the probability <strong>of</strong> sectoral attachment but not the level <strong>of</strong> earningswithin the sector. A number <strong>of</strong> instruments have been used to assist in identification<strong>and</strong> they appear adequate for the task at h<strong>and</strong>. 2424 This could be construed as a crude way to correct for selectivity bias but more adequate procedureshave not been developed for correcting interval regression models for selectivity bias when there aremultiple labour market outcomes to be treated.17

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