PS102Lecture21

PS102Lecture21 - LinearRegressionAnalysis

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Linear Regression Analysis Political Science 102 – Introduction to Political Inquiry Lecture 21
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Regression Analysis Regression analysis is the predominant statistical tool used in the social sciences Simple and versatile AKA: linear regression, ordinary least squares, OLS Central concept is fitting a line through data to describe relationships between X and Y
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Notations for Regression Line  Mathematical notations for the straight line 10th Grade Geometry Statistics Literature Econometrics Literature These are all equivalent statements We may use stats or and econ notation for the model. Just remember that B 0 and a are the same thing. y m x b = + Y a b X e i i i = + + Y B B X e i i i = + + 0 1
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Translating Math into English Linear model implies that the dependent variable is directly proportional to the independent variable. A theory implying that Y increases in direct proportion to an increase in X, implies a specific mathematical model of behavior - the linear model. Example: Economic performance and incumbent vote share ALL statements of relationships between variables imply a mathematical structure. Even if we don’t like to phrase our theories in these terms, they DO imply mathematical relationships Courses in regression analysis are about making this basic linear model fit more nuanced theories
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This note was uploaded on 10/21/2011 for the course POL SCI 102 taught by Professor Gelpi during the Spring '11 term at Duke.

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PS102Lecture21 - LinearRegressionAnalysis

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