BIO 650 Michigan

Today Biased Regression December 10, 2001 1 D:NoBHiV D:LwBLwV Biased Regression: Bias vs Variance ) ( ) &21 0( $ I The standard measure of estimator quality is Mean Squared Error MSE E E Var Recall that Least Squares is BLUE Best (Min

Biostatistics 650 Wed, Sept 12 2001 Hypothesis Testing & Assessing Model Fit Key terms ANOVA table Key ideas/results 1. A linear combination of Normals random variables is Normal. and nations of the s, so the Normality assumption on the errors yi

Biostat 650 Fall 2001 1. Scale invariance Homework 2 Due Wednesday, Sept 19, 2001 (a) In the simple linear regression model, suppose each is replaced by , where is a constant. How are (i) , (ii) , (iii) , (iv) , and (v) the t-test of : affected? (

Biostatistics 650 Applied Statistics I: Linear Regression Fall 2001 Basics Website Instructor Class meets Mon & Wed, 1-3PM, in M1122 SPH II http:/www.sph.umich.edu/class/bio650/ Dr. Thomas Nichols Assistant Professor Department of Biostatistics Email

Biostatistics 650 Monday, December 3 2001 Heteroscedasticity, Autocorrelation, Error-in-Variables Key terms Weighted Least Squares (WLS), in contrast to Ordinary Least Squares (OLS) AR(1): Auto-Regressive, order 1 Error-in-Variables Key ideas/resu

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Biostatistics 650 Wed, Oct 3 2001 Inference with the Extra Sum of Squares Principal Key terms Extra sums-of-squares Key ideas/results 1. Correlation Coefcient Cov Var where If is zero, it must be because and is zero; implies that the vectors

Biostatistics 650 Wed, Sept 26 2001 Multiple Linear Regression: Hypothesis Testing Key terms Extra sums-of-squares Key ideas/results 1. represents the regression sums-of-squares accounted for by variables have already been tted. ables It decompo

Biostatistics 650 Mon, November 5 2001 Residuals, Part II Key terms External Studentization Outliers Added Variable Plot Partial Regression Plot Partial Residual Plot Component Plus Residual Plot Key ideas/results Ordinary residuals standa