Regression Models for Global Religious Disbelief Rates
Religious Disbelief Rate; Regression Models; GJS Regression; PL Regression; Intelligence; Quotient.
The general factor of intelligence, known as the factor g, was proposed by Spearman (1904) as
a common underlying cognitive ability present in all intellectual tasks. This concept underlies measures
such as the intelligence quotient (IQ), used to represent the average cognitive ability of populations.
Among the studies in this field, the research of Cribari-Neto e Souza (2013) stands out, which employs
the beta regression model to analyze the rate of religious disbelief across several countries, using
average IQ as the explanatory variable, with data extracted from Lynn, Harvey e Nyborg (2009). In this
work, we investigate alternative regression models belonging to the Generalized Johnson SB class
proposed by Lemonte e Bazán (2016) and the Power Logit model by Queiroz e Ferrari (2023) to conduct
this analysis. In this sense, the present study seeks, among all the models presented and adapted to
handle proportions, the one that best fits the modeling of atheism rates as a function of the average IQ of
countries, aiming to identify the model with the best goodness of fit to represent this relationship, thereby
contributing to the use of unconventional models for the analysis of social data expressed as rates and
proportions.