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Cooperative Education Program

by: Genevieve Harvey

Cooperative Education Program BSE 1

Marketplace > University of Wisconsin - Madison > Bioengineering > BSE 1 > Cooperative Education Program
Genevieve Harvey
GPA 3.64


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Class Notes
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This 1 page Class Notes was uploaded by Genevieve Harvey on Thursday September 17, 2015. The Class Notes belongs to BSE 1 at University of Wisconsin - Madison taught by Staff in Fall. Since its upload, it has received 11 views. For similar materials see /class/205130/bse-1-university-of-wisconsin-madison in Bioengineering at University of Wisconsin - Madison.


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Date Created: 09/17/15
N Stat 471 Lecture 17 Bootstrap III Regression M00 K Chung mchungstatwiscedu October 17 2003 Continuing lecture 16 if f is not normal T will be still a pivot but we do not know its distribution So we generate 1000 bootstrap replicates of T gigX5 of T and get the bootstrap CI 2 7 ma a 2 7 tgZS tinline meanX ustdx lengthx x u for illeOO trepitbootarmlmeanarm end gtgt quantiletrep005 095 l98246 220677 For given bivariate data w y 2 17 n suppose we have model Y Wow3 62quot Let gw o lm Fitting a somewhat crazy 5 model like gw W is also possible The least squares estimation LSE is given by argmgn 9702 8gt2 Based on LSE the observed residual is 2 312 97021 1 A bootstrap dataset is then amp 61 2 The bootstrap estimate of is then 7 2 are Ugh 312 Wow3 r 3 Z 3 Let s nd CI for l for model The pivot for l is T grip o 1arm 5151 SE51 where SEBl Var51 If you don t know the standard error SE we eq of estimate it ie T l 7 1S1 Following 12 and 3 we generate 1000 bootstrap replicates 4lt fe3 At T 7 SEEW We need to estimate SEB1 v1a bootstrap which requires bootstrapping from boot strapped residual 63 there is a formula for com puting the standard error but well let s forget that Then 1001 7 a CI for l is be gtgt b 5 f0 en gtgt 1 1 that23317 l Q2351 tainline pinv ones 147 l X y bbeta armgrip 547081 07050 grip bl b2arm r jl1000 bsebootel bsgrip bse bl b2arm bsbbetaarmbsgrip for il50 b52ebootbsel szgrip sze bl b2arm szbbetaarmszgrip bsbetaib52b2 end trepjbsb2 O7050stdbsbeta d quantiletrep005 095 5308 16580


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