Abstract
We propose a unified approach for multilevel sample selection models using a generalized result on skew distributions arising from selection. If the underlying distributional assumption is normal, then the resulting density for the outcome is the continuous component of the sample selection density and has links with the closed skew-normal distribution (CSN). The CSN distribution provides a framework which simplifies the derivation of the conditional expectation of the observed data. This generalizes the Heckmans two-step method to a multilevel sample selection model. Finite-sample performance of the maximum likelihood estimator of this model is studied through a Monte Carlo simulation.
Original language | English |
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Pages (from-to) | 2592-2611 |
Number of pages | 20 |
Journal | Communications in Statistics - Theory and Methods |
Volume | 45 |
Issue number | 9 |
Early online date | 6 Apr 2016 |
DOIs | |
Publication status | Published - 2 May 2016 |
Keywords
- Closed skew-normal distribution
- Neck disability index
- Selection distribution
- Unit and item non response