LectureNov3

LectureNov3 - BME 423 Lecture Notes - Nov. 3, 2008 Linear...

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1 Linear Regression V. Correlation A. Correlation Coefficient BME 423 Lecture Notes - Nov. 3, 2008 Multiple Treatments in Same Subject I. Paired t Test A. Idea B. Test procedure C. Example Glantz Chapt. 9 pp 312-330 Estimating Trends from a Sample () 2 ~, x x xN μσ x x y β α μ + = 2 y xy x yx N ⋅⋅ Independent variable Dependent variable Population (Line of means) Sample ˆ y ab x = + Estimate each via least squares
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2 22 () ii i i nx y x y b x = ∑∑ 2 i yx xx y a x = ∑∑ ∑∑ ( ) ayb x = −⋅ ˆ yab x =+ ˆ estimate of standarderror of estimate of standard error of ˆˆ estimate of standarderror of estimate of a b y as a bs b ys y s α β μ σ ⋅⋅ 2 1 2 y x n s sb s n =− 2 2 1 (1 ) ay x x x ss nn s 1 1 y x b x s s s n = 2 ˆ 2 1( ) ) yy x x x x s Estimates t = b s b v = n 2 0: 0 H = Hypothesis Tests and Confidence Intervals a a t s = v = n 2 0 H = x y yt s s αα << + v = n 2 CI for LOM Ynew Ynew s t y y s t y + < < ˆ ˆ 2 2 1 ) Ynew y x x
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This note was uploaded on 12/02/2008 for the course BME 423 taught by Professor D'argenio during the Fall '06 term at USC.

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LectureNov3 - BME 423 Lecture Notes - Nov. 3, 2008 Linear...

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