Statistical Models: Theory and Practice
This lively and engaging textbook provides the knowledge required to read empirical papers in the social and health sciences, as well as the techniques needed to build statistical models. The author explains the basic ideas of association and regression, and describes the current models that link these ideas to causality. He focuses on applications of linear models, including generalized least squares and two-stage least squares. The bootstrap is developed as a technique for estimating bias and computing standard errors. Careful attention is paid to the principles of statistical inference. There is background material on study design, bivariate regression, and matrix algebra. To develop technique, there are computer labs, with sample computer programs. The book's discussion is organized around published studies, as are the numerous exercises - many of which have answers included. Relevant papers reprinted at the back of the book are thoroughly appraised by the author.
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0-1 dummy variable analysis APaup assume assumptions asymptotic average treatment effect bias biased birth bivariate probit bootstrap cancer Catholic schools causal inference chapter coefficient column Communists correlation covariance matrix data set design matrix discussion distribution District dummy variable elite endogenous error term Evans and Schwab example Exercise set exogenous variables experiments explain Family Income fertility preferences Freedman graduation high school independent instrumental variables intercept intolerance Journal latent variables least squares likelihood function linear mass opinion mass public MATLAB measure normal null hypothesis OLS estimator parents population positive definite probability probit model public school random error random variables regression equation regression model residuals response schedule Rindfuss sample school choice Science simulation social capital standard errors statistical models Stouffer Suppose test scores theorem theory tolerance unbiased variance a2 women