Title
An argument for preferring Firth bias-adjusted estimates in aggregate and individual-level discrete choice modeling An argument for preferring Firth bias-adjusted estimates in aggregate and individual-level discrete choice modeling
Author
Faculty/Department
Faculty of Applied Economics
Publication type
report
Publication
Antwerp :UA, [*]
Subject
Economics
Source (series)
Research paper / University of Antwerp, Faculty of Applied Economics ; 2013:013
Volume/pages
38 p.,
Carrier
E
Target language
English (eng)
Affiliation
University of Antwerp
Abstract
Using maximum likelihood estimation for discrete choice modeling of small datasets causes two problems. The rst problem is that the data often exhibit separation, in which case the maximum likelihood estimates do not exist. Also, provided they exist, the maximum likelihood estimates are biased. In this paper, we show how to adapt Firth's bias-adjustment method for use in discrete choice modeling. This approach removes the rst-order bias of the estimates, and it also deals with the separation issue. An additional advantage of the bias adjustment is that it is usually accompanied by a reduction in the variance. Using a large-scale simulation study, we identify the situations where Firth's bias-adjustment method is most useful in avoiding the problem of separation as well as removing the bias and reducing the variance. As a special case, we apply the bias-adjustment approach to discrete choice data from individuals, making it possible to construct an empirical distribution of the respondents' preferences without imposing any a priori population distribution. For both research purposes, we base our ndings on data from a stated choice study on various forms of employee compensation.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/f0a9c0/c584d201.pdf
Handle