Estimation with the nested logit model: specifications and software particularities

The paper discusses the nested logit model for choices between a set of mutually exclusive alternatives (e.g. brand choice, strategy decisions, modes of transportation, etc.). Due to the ability of the nested logit model to allow and account for similarities between pairs of alternatives, the model has become very popular for the empirical analysis of choice decisions. However the fact that there are two different specifications of the nested logit model (with different outcomes) has not received adequate attention. The utility maximization nested logit (UMNL) model and the non-normalized nested logit (NNNL) model have different properties, influencing the estimation results in a different manner. This paper introduces distinct specifications of the nested logit model and indicates particularities arising from model estimation. The effects of using various software packages on the estimation results of a nested logit model are shown using simulated data sets for an artificial decision situation.

[1]  A. Karlqvist,et al.  Spatial interaction theory and planning models , 1978 .

[2]  F. Koppelman,et al.  Alternative nested logit models: structure, properties and estimation , 1998 .

[3]  John M. Rose,et al.  Applied Choice Analysis by David A. Hensher , 2005 .

[4]  Pradeep K. Chintagunta,et al.  Investigating Purchase Incidence, Brand Choice and Purchase Quantity Decisions of Households , 1993 .

[5]  Juan Antonio Carrasco,et al.  Review and assessment of the nested logit model , 2002 .

[6]  Dafydd Gibbon,et al.  1 User’s guide , 1998 .

[7]  P. K. Kannan,et al.  Modeling and Testing Structured Markets: A Nested Logit Approach , 1991 .

[8]  P. Brown,et al.  Health-seeking behavior and hospital choice in China's New Cooperative Medical System. , 2009, Health economics.

[9]  Andrew Daly,et al.  Alternative tree logit models: comments on a paper of Koppelman and Wen , 2001 .

[10]  Juan M. Rodríguez-Póo,et al.  Accounting for heterogeneity in shopping centre choice models , 2004 .

[11]  John D. C. Little,et al.  A Logit Model of Brand Choice Calibrated on Scanner Data , 2011, Mark. Sci..

[12]  Mark D. Uncles,et al.  Discrete Choice Analysis: Theory and Application to Travel Demand , 1987 .

[13]  J. Kadane.  Structural Analysis of Discrete Data with Econometric Applications , 1984 .

[14]  Ricardo Alvarez-Daziano,et al.  DRAFT MIXED LOGIT VS. NESTED LOGIT AND PROBIT MODELS , 2001 .

[15]  Florian Heiss,et al.  Structural Choice Analysis with Nested Logit Models , 2002 .

[16]  Simon P. Anderson,et al.  Multiproduct Firms: A Nested Logit Approach , 1992 .

[17]  Kenneth A. Small,et al.  EFFICIENT ESTIMATION OF NESTED LOGIT MODELS , 1985 .

[18]  K. Train.  A Structured Logit Model of Auto Ownership and Mode Choice , 1980 .

[19]  Pradeep K. Chintagunta,et al.  Empirical implications of unobserved household heterogeneity for manufacturer and retailer pricing , 1998 .

[20]  C. Bhat.  Covariance heterogeneity in nested logit models: Econometric structure and application to intercity travel , 1997 .

[21]  Wolfgang Karl Härdle,et al.  A generalized ARFIMA process with Markov-switching fractional differencing parameter , 2007 .

[22]  Juan de Dios Ortúzar.  On the development of the nested logit model , 2001 .

[23]  Wolfgang Härdle,et al.  On the appropriateness of inappropriate VaR models , 2006 .

[24]  Baohong Sun,et al.  Measuring the Impact of Promotions on Brand Switching When Consumers Are Forward Looking , 2003 .

[25]  D. McFadden.  Econometric Models of Probabilistic Choice , 1981 .

[26]  D. McFadden.  Conditional logit analysis of qualitative choice behavior , 1972 .

[27]  W. Kamakura,et al.  Modeling Preference and Structural Heterogeneity in Consumer Choice , 1996 .

[28]  Frank S. Koppelman,et al.  Nested Logit Models Which Are You Using? , 1998 .

[29]  John M. Rose,et al.  Applied Choice Analysis: List of tables , 2005 .

[30]  Daniel McFadden,et al.  Modelling the Choice of Residential Location , 1977 .

[31]  Gary L. Hunt,et al.  Alternative Nested Logit Model Structures and the Special Case of Partial Degeneracy , 2000 .

[32]  G Baltas,et al.  A model of consumer choice for national vs private label brands , 1997 .

[33]  David A. Hensher,et al.  The Mixed Logit Model: the State of Practice and Warnings for the Unwary , 2001 .

[34]  S. Chib,et al.  Model of Brand Choice with a No-Purchase Option Calibrated to Scanner-Panel Data , 2004 .

[35]  D. E. Clark,et al.  A Nested Logit Approach to Household Mobility , 2001 .

[36]  Wagner A. Kamakura,et al.  Book Review: Structural Analysis of Discrete Data with Econometric Applications , 1982 .

[37]  Scott A. Neslin,et al.  The Effect of Promotion on Consumption: Buying More and Consuming it Faster , 1998 .

[38]  John M. Rose,et al.  Applied Choice Analysis: List of tables , 2005 .

[39]  K. Train.  Discrete Choice Methods with Simulation , 2003 .

[40]  Kenneth E. Train,et al.  Discrete Choice Methods with Simulation , 2016 .

[41]  W. Greene,et al.  Specification and estimation of the nested logit model: alternative normalisations , 2002 .