A better lemon squeezer? Maximum-likelihood regression with beta-distributed dependent variables.
By Michael Smithson, J. Verkuilen. Psychological methods, 2006
1,563 citations recorded by the source corpus.
Subfields: Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/851779099a662b91c8153a9a40e069f0276eecbc
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Statistics and Probability
- C. Bayes
- Jorge L. Bazán
- Silvia L. P. Ferrari
- Francisco Cribari‐Neto
- Mário de Castro
- Patrícia Leone Espinheira
- Cristiano Varin
- Annamaria Guolo
Citations in the corpus
- Beta Regression in R (2010, methodology): “We consider an application that analyzes reading accuracy data for nondyslexic and dyslexic Australian children (Smithson and Verkuilen 2006).”
- Diagnostic tools in beta regression with varying dispersion (2011, methodology): “The application is based on reading accuracy data analysed by Smithson and Verkuilen (2006) from 44 individuals recruited from primary schools in the Australian Capital Territory.”
- Alternative Estimating and Testing Empirical Strategies for Fractional Regression Models (2011, neutral): “…researcher may be interested in analyzing whether a variable contributes to the variance of beyond its effect upon the mean, Paolino (2001) and also Smithson and Verkuilen (2006) assume = () and = exp (), where is a set of independent variables, potentially distinct from those…”
- A Command for Fitting Mixture Regression Models for Bounded Dependent Variables Using the Beta Distribution (2018, methodology): “The standard beta regression model (Paolino 2001; Ferrari and Cribari-Neto 2004; Smithson and Verkuilen 2006) assumes that the dependent variable is continuous in the open unit interval (0, 1).”
- On beta regression residuals (2008, methodology): “The next application is based on the data analysed by Smithson and Verkuilen 7 , obtained from Pammer and Kevan 6 .”
- Mixed and Mixture Regression Models for Continuous Bounded Responses Using the Beta Distribution (2012, methodology): “Smithson and Verkuilen (2006) presented real-world examples of this and the present article includes additional illustrations.”
- A quantile parametric mixed regression model for bounded response variables (2017, background): “similar to [32], to ease the interpretation of the coefficients.”
- Demographics and Dynamics of Mechanical Turk Workers (2018, methodology): “Therefore, to examine if there is a correlation of the propensities with the demographic variables, we use a Beta regression [11, 31], which is explicitly designed to handle dependent variables that are Beta distributed and exhibit heteroskedasticity and skewness.”
- Improved likelihood inference in beta regression (2011, methodology): “Applications of beta regression models can be found in Smithson and Verkuilen [6], Korhonen et al. [7], Silvestre et al. [8], Hubben et al. [9], among others.”
- The Kumaraswamy distribution: median-dispersion re-parameterizations for regression modeling and simulation-based estimation (2012, methodology): “…that have been advanced for using the Beta distribution in regression models in a range of contexts and disciplines (Ferrari and Cribari-Neto 2004; Kieschnick and McCullough 2003; Paolino 2001; Smithson and Verkuilen 2006) apply unchanged if we substitute the Kumaraswamy for the Beta distribution.”
- Beta regression for time series analysis of bounded data, with application to Canada Google Flu Trends. (2014, background): “1 (2001), Ferrari and Cribari-Neto (2004), and Smithson and Verkuilen (2006).”
- Climate change in the Eastern Amazon: crop-pollinator and occurrence-restricted bees are potentially more affected (2020, methodology): “5)/number of observations] was applied to avoid zeros and ones (Smithson and Verkuilen 2006).”
- A general class of zero-or-one inflated beta regression models (2011, neutral): “…models have been studied by Kieschnick & McCullough (2003), Ferrari & Cribari-Neto (2004), Espinheira, Ferrari & Cribari-Neto (2008a, 2008b), Paolino (2001), Smithson & Verkuilen (2006), Korhonen et al. (2007), Simas, BarretoSouza & Rocha (2010), and Ferrari & Pinheiro (2010), among others.”
- A New Robust Regression Model for Proportions (2012, methodology): “In addition, as the parameters φi must be strictly positive, the log link that can be used for F−1 2 (·) is log(φi) = −wT i δ where we use the negative sign, as indicated by Smithson and Verkuilen (2006), to make the interpretation of the coefficients δ easier.”