1
Vol. 2, No.1, Summer 2013 © 2012 Published by JSES.
A COMPARISON OF BINARY LOGIT AND PROBIT MODELS WITH A
SIMULATION STUDY
*
Selen CAKMAKYAPAN
a
, Atilla GOKTAS
b
Abstract
Logit and probit models which widely used are members of the family of
generalized linear models. Particularly, when the dependent variable is
binary, both models may be used for the estimation of the functional
relationship between dependent and independent variables. Since those
models are utilized for the same purposes, the question of which model
performs better comes to the mind. For this intention, a Monte Carlo
simulation was carried out to compare both the binary probit and logit
models under different conditions. In data generation stage, by employing
latent variable approach, different sample sizes, different cut points, and
different correlations between dependent variable and independent
variables were taken into account. To make a comparison between logit
and probit models, residuals, deviations and different Pseudo-R squares
which are used for qualitative data analysis, were calculated and the
results were interpreted.
Keywords: Binary Logit Model, Binary Probit Model, Latent Variable, Monte Carlo
Simulation, Pseudo R-Square
JEL Classification: C15, C53, C63
Authors’ Affiliation
a
– Hacettepe University, Department of Statistic, selencakmakyapan@hacettepe.edu.tr
b
– Mugla Sıtkı Kocman University, Department of Statistic, gatilla@mu.edu.tr
*
*An earlier version of this paper was presented at The 6th International Conference on Applied Statistics,
November 2012, Bucharest.