Consistent estimation of the fixed effects ordered logit model

The paper re-examines existing estimators for the panel data fixed effects ordered logit model, proposes a new one, and studies the sampling properties of these estimators in a series of Monte Carlo simulations. There are two main findings. First, we show that some of the estimators used in the literature are inconsistent, and provide reasons for the inconsistency. Second, the new estimator is never outperformed by the others, seems to be substantially more immune to small sample bias than other consistent estimators, and is easy to implement. The empirical relevance is illustrated in an application to the effect of unemployment on life satisfaction.

[1]  P. Frijters,et al.  How Important is Methodology for the Estimates of the Determinants of Happiness? , 2004 .

[2]  Gary Chamberlain,et al.  Analysis of Covariance with Qualitative Data , 1979 .

[3]  T. Lancaster The incidental parameter problem since 1948 , 2000 .

[4]  Jan C. van Ours,et al.  Job Satisfaction and Family Happiness: The Part-Time Work Puzzle , 2007 .

[5]  Jason Abrevaya,et al.  The equivalence of two estimators of the fixed-effects logit model , 1997 .

[6]  E. B. Andersen,et al.  Asymptotic Properties of Conditional Maximum‐Likelihood Estimators , 1970 .

[7]  John P. Haisken-DeNew,et al.  Heresy or enlightenment? The well-being age U-shape effect is flat , 2012 .

[8]  Jaeil Ahn,et al.  Fitting stratified proportional odds models by amalgamating conditional likelihoods. , 2008, Statistics in medicine.

[9]  John P. Haisken-DeNew,et al.  You're Fired! The Causal Negative Effect of Unemployment on Life Satisfaction , 2008 .

[10]  Claudia Czado,et al.  The effect of link misspecification on binary regression inference , 1992 .

[11]  Andreas Knabe,et al.  Scarring or Scaring? The Psychological Impact of Past Unemployment and Future Unemployment Risk , 2008, SSRN Electronic Journal.

[12]  Andrew M. Jones,et al.  How Does Heterogeneity Shape the Socioeconomic Gradient in Health Satisfaction , 2011 .

[13]  John P. Haisken-DeNew,et al.  The causal effect of income on health: evidence from German reunification. , 2005, Journal of health economics.

[14]  R. Winkelmann,et al.  Why Are the Unemployed So Unhappy? Evidence from Panel Data , 1998 .

[15]  H. Schmitz Why are the unemployed in worse health? The causal effect of unemployment on health , 2011 .

[16]  W. Greene,et al.  The Behaviour of the Maximum Likelihood Estimator of Limited Dependent Variable Models in the Presence of Fixed Effects , 2004 .

[17]  N. Reid,et al.  AN OVERVIEW OF COMPOSITE LIKELIHOOD METHODS , 2011 .

[18]  Arthur van Soest,et al.  A Panel Data Model for Subjective Information on Household Income Growth , 1999 .

[19]  A. Oswald,et al.  Unhappiness and Unemployment , 1994 .

[20]  John P. Haisken-DeNew,et al.  You're Fired! The Causal Negative Effect of Entry Unemployment on Life Satisfaction , 2009 .

[21]  J. Cramer,et al.  Robustness of Logit Analysis: Unobserved Heterogeneity and Mis-specified Disturbances* , 2007 .

[22]  Yuichi Kitamura,et al.  Empirical Likelihood Methods in Econometrics: Theory and Practice , 2006 .

[23]  H. White Maximum Likelihood Estimation of Misspecified Models , 1982 .

[24]  Paul Frijters,et al.  Money Does Matter! Evidence from Increasing Real Income and Life Satisfaction in East Germany Following Reunification , 2004 .

[25]  Investigating the patterns and determinants of life satisfaction in Germany following reunification , 2004 .

[26]  Gert G. Wagner,et al.  The German Socio-Economic Panel Study (SOEP) - Evolution, Scope and Enhancements , 2007 .

[27]  T. Eriksson,et al.  An Analysis of the Determinants of Job Satisfaction when Individuals ’ Baseline Satisfaction Levels May Differ , 2004 .

[28]  J. Neyman,et al.  Consistent Estimates Based on Partially Consistent Observations , 1948 .