White Rose University Consortium logo
University of Leeds logo University of Sheffield logo York University logo

Calculating errors for measures derived from choice modelling estimates

Daly, AJ, Hess, S and de Jong, G (2012) Calculating errors for measures derived from choice modelling estimates. Transportation Research Part B: Methodological, 26 (2). 333 - 341 . ISSN 0191-2615

Warning

There is a more recent version of this eprint available. Click here to view it.

Full text available as:

Abstract

The calibration of choice models produces a set of parameter estimates and an associated covariance matrix, usually based on maximum likelihood estimation. However, in many cases, the values of interest to analysts are in fact functions of these parameters rather than the parameters themselves. It is thus also crucial to have a measure of variance for these derived quantities and it is preferable that this can be guaranteed to have the maximum likelihood properties, such as minimum variance. While the calculation of standard errors using the Delta method has been described for a number of such measures in the literature, including the ratio of two parameters, these results are often seen to be approximate calculations and do not claim maximum likelihood properties. In this paper, we show that many measures commonly used in transport studies and elsewhere are themselves maximum likelihood estimates and that the standard errors are thus exact, a point we illustrate for a substantial number of commonly used functions. We also discuss less appropriate methods, notably highlighting the issues with using simulation for obtaining the variance of a function of estimates.

Item Type: Article
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Environment (Leeds) > Institute for Transport Studies (Leeds)
Depositing User: Symplectic Publications
Date Deposited: 19 Mar 2012 15:00
Last Modified: 08 Feb 2013 17:37
Published Version: http://dx.doi.org/10.1016/j.trb.2011.10.008
Status: Published
Publisher: Elsevier
Identification Number: 10.1016/j.trb.2011.10.008
URI: http://eprints.whiterose.ac.uk/id/eprint/43621

Available Versions of this Item

Actions (login required)

View Item View Item