A Sample Selection Model with Skew-normal Distribution

Emmanuel O. Ogundimu, Jane L. Hutton

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

Non‐random sampling is a source of bias in empirical research. It is common for the outcomes of interest (e.g. wage distribution) to be skewed in the source population. Sometimes, the outcomes are further subjected to sample selection, which is a type of missing data, resulting in partial observability. Thus, methods based on complete cases for skew data are inadequate for the analysis of such data and a general sample selection model is required. Heckman proposed a full maximum likelihood estimation method under the normality assumption for sample selection problems, and parametric and non‐parametric extensions have been proposed. We generalize Heckman selection model to allow for underlying skew‐normal distributions. Finite‐sample performance of the maximum likelihood estimator of the model is studied via simulation. Applications illustrate the strength of the model in capturing spurious skewness in bounded scores, and in modelling data where logarithm transformation could not mitigate the effect of inherent skewness in the outcome variable.
Original languageEnglish
Pages (from-to)172-190
Number of pages19
JournalScandinavian Journal of Statistics
Volume43
Issue number1
Early online date30 Jul 2015
DOIs
Publication statusPublished - 16 Feb 2016

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