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| Author(s): |
Rafael Braz Azevedo Farias
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) |
| Defense date: | 2012-05-25 |
| Examining board members: |
Marcia D Elia Branco;
Jorge Luis Bazán Guzmán;
Rosângela Helena Loschi;
Reinaldo Boris Arellano Valle
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| Advisor: | Marcia D Elia Branco |
| Abstract | |
Data sets with multivariate responses often appear in surveys where the data came from questionnaires. Opinion poll, sometimes simply referred to as a poll, are common examples of studies in which the responses are multivariate. One type poll that gain great prominence in Brazil in election years, is the survey of vote intent. However, despite the higher visibility of prognostic studies of election, opnion polls is a tool widely used to detect trends and positions of different social segments on various topics, be they political, social or governmental. We introduce in this work a class of multivariate regression models with asymmetric link functions to fit data sets with multivariate binary responses. The link functions here considered are quite flexible and robust, contemplating symmetrical link functions as special cases. Due to the complexity of the model, we discuss its identifiability. The Bayesian approach was considered and some Monte Carlo Markov Chain (MCMC) algorithms have been developed. Simulation studies have been developed with two objectives: i) verify the quality of the algorithms developed and ii) to verify the importance of choosing the link function. At the end of this work an application in a real data set is considered in order to illustrate the methodologies and techniques presented. (AU) | |
| FAPESP's process: | 07/03598-3 - Bayesian analysis in multivariate skew-probit models |
| Grantee: | Rafael Bráz Azevedo Farias |
| Support Opportunities: | Scholarships in Brazil - Doctorate |