Transcription of Linear Regression Analysis for Survey Data
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Linear Regression Analysis for Survey Data
Linear Regression Analysis for Survey data Professor Ron Fricker Naval Postgraduate School Monterey, California 1. Goals for this Lecture Linear Regression How to think about it for Lickert scale dependent variables Coding nominal independent variables Linear Regression for complex surveys Weighting Regression in JMP. 2. Regression in Surveys Useful for modeling responses to Survey questions as function of (external). sample data and/or other Survey data Sometimes easier/more efficient then high- dimensional multi-way tables Useful for summarizing how changes in the Xs affect Y. 3. (Simple) Linear Model General expression for a Linear model yi = 0 + 1 xi + i 0 and 1 are model parameters is the error or noise term Error terms often assumed independent observations from a N (0, ) distribution 2. Thus Yi ~ N ( 0 + 1 xi , 2 ). And E (Yi ) = 0 + 1 xi 4. Linear Model Can think of it as modeling the expected value of y, E ( y | x ) = 0 + 1 x where on a 5-point Lickert scale, the ys are only measured very coarsely Given some data , we will estimate the parameters with coefficients E ( y | x ) y = 0 + 1 x where y is the predicted value of y 5.
Linear Regression Analysis for Survey Data Professor Ron Fricker Naval Postgraduate School Monterey, California 1. ... • Likert scale data is categorical (ordinal) ... designed for complex survey analysis 18. Population vs. Sample • Sometimes have a census of data: can
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