Published online by Cambridge University Press: 05 September 2012
In mathematics you don't understand things. You just get used to them.
(Johann von Neumann, 1903–57)Introduction
The majority of choice study applications do not progress beyond using the simple MNL model discussed in chapter 10. The ease of computation and the wide availability of software packages capable of estimating the MNL model suggest that this trend will continue well into the future. The ease with which the MNL model may be estimated, however, comes at a price in the form of the assumption of Independence of Identically Distributed (IID) error components. While the IID assumption and the behaviorally comparable assumption of Independence of Irrelevant Alternatives (IIA) allow for ease of computation (as well as providing a closed-form solution), as with any assumption, violations both can and do occur. When violations do occur, the cross-substitution effects observed between pairs of alternatives are no longer equal given the presence or absence of other alternatives within the complete list of available alternatives within the model (Louviere, Hensher, and Swait 2000).
The nested logit (NL) model represents a partial relaxation of the IID and IIA assumptions of the MNL model. As discussed in chapter 13, this relaxation occurs in the variance components of the model together with some correlation within sub-sets of alternatives, and while more advanced models relax the IID assumption more fully (via the covariances), the NL model represents an excellent advance for the analyst in terms of studies of choice.
To save this book to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
Find out more about the Kindle Personal Document Service.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.