Manoel Galdino, University of São Paulo
This course is designed for students who are interested in reviewing their training in multiple regression analysis. It prepares students directly for the track of Multi-Method Research and it will take place in the 1st week of the Summer School. The intensive course starts with a discussion of the logic of the multivariate regression model and the central assumptions underlying the ordinary least squares approach. Particular emphasis will be given to inference, to interpretation of coefficients and to interaction terms. Therefore, we focus on the logic behind a populational regression model and its relation to the sample regression model as a way to discuss inference, its results, and its limits.
Also, we briefly debate the basic assumptions’ violation. At last, we discuss the basic idea of interactions, how to correct interpret the coefficients, and the most common mistakes. Similar to other IPSA-USP courses, the Essentials of Multiple Regressions Analysis takes a “hands on” approach. To complement lectures, students apply the concepts taught in lectures to analyze problems using software packages commonly used in quantitative social science research including R and Stata.
The course presumes students have some basic training in mathematics including arithmetic and algebra operations. It also assumes that students have a background in statistics including basic probability; random variables and their distributions; confidence intervals and tests of hypotheses for means, variances, and proportions from one or two populations.