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Full-Text Articles in Physical Sciences and Mathematics
Best Probable Subset: A New Method For Reducing Data Dimensionality In Linear Regression, Elieser Nodarse
Best Probable Subset: A New Method For Reducing Data Dimensionality In Linear Regression, Elieser Nodarse
FIU Electronic Theses and Dissertations
Regression is a statistical technique for modeling the relationship between a dependent variable Y and two or more predictor variables, also known as regressors. In the broad field of regression, there exists a special case in which the relationship between the dependent variable and the regressor(s) is linear. This is known as linear regression.
The purpose of this paper is to create a useful method that effectively selects a subset of regressors when dealing with high dimensional data and/or collinearity in linear regression. As the name depicts it, high dimensional data occurs when the number of predictor variables is far …
Sabermetrics - Statistical Modeling Of Run Creation And Prevention In Baseball, Parker Chernoff
Sabermetrics - Statistical Modeling Of Run Creation And Prevention In Baseball, Parker Chernoff
FIU Electronic Theses and Dissertations
The focus of this thesis was to investigate which baseball metrics are most conducive to run creation and prevention. Stepwise regression and Liu estimation were used to formulate two models for the dependent variables and also used for cross validation. Finally, the predicted values were fed into the Pythagorean Expectation formula to predict a team’s most important goal: winning.
Each model fit strongly and collinearity amongst offensive predictors was considered using variance inflation factors. Hits, walks, and home runs allowed, infield putouts, errors, defense-independent earned run average ratio, defensive efficiency ratio, saves, runners left on base, shutouts, and walks per …