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THE DOGIT ORDERED GENERALIZED EXTREME VALUE MODEL
Author(s) -
Fry Tim R.L.,
Harris Mark N.
Publication year - 2005
Publication title -
australian and new zealand journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 1369-1473
DOI - 10.1111/j.1467-842x.2005.00414.x
Subject(s) - mathematics , extreme value theory , set (abstract data type) , discrete choice , preference , value (mathematics) , generalized extreme value distribution , econometrics , partially ordered set , statistics , discrete mathematics , computer science , programming language
Summary This paper introduces the Dogit ordered generalized extreme value (DOGEV) model, for handling discrete variables that are ordered and heterogeneous. In particular, the DOGEV model can be applied to questionnaire responses on questions allowing a discrete set of ordered possible responses, where there is a preference for particular responses and possibly multiple modes in the data. The DOGEV model combines a model for choice set generation with the ordered generalized extreme value model. The paper illustrates the model using two empirical examples: a model of inflationary expectations and a model for students' evaluations of teaching.