ConditionalAssociation

# ConditionalAssociation - Stat 665 (Spring 2011) Kaizar...

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Unformatted text preview: Stat 665 (Spring 2011) Kaizar Conditional Association 1 Estimating Conditional Association under Homogeneity: “Fixed Effects” 1.1 Mantel-Haenszel Statistic ˆ θ MH = ∑ K k =1 parenleftBig n 11 k n 22 k n ++ k parenrightBig ∑ K k =1 parenleftBig n 12 k n 21 k n ++ k parenrightBig = ∑ K k =1 R k ∑ K k =1 S k = R S hatwidest Var bracketleftBig log ˆ θ MH bracketrightBig = 1 2 R 2 summationdisplay k 1 n ++ k ( n 11 k + n 22 k ) R k + 1 2 S 2 K summationdisplay k =1 1 n ++ k ( n 12 k + n 21 k ) S k + 1 2 RS summationdisplay k 1 n ++ k [( n 11 k + n 22 k ) S k + ( n 12 k + n 21 k ) R k ] = 1 2 R 2 summationdisplay k T k R k + 1 2 S 2 K summationdisplay k =1 (1- T k ) S k + 1 2 RS summationdisplay k [ T k S k + (1- T k ) R k ] where R k = n 11 k n 22 k n ++ k T k = n 11 k + n 22 k n ++ k R = ∑ K k =1 R k S k = n 12 k n 21 k n ++ k S = ∑ K k =1 S k 1 1.2 Inverse Variance Weighted Method: “Fixed Effects” log( ˆ θ IV ) = ∑ K k =1 w k log( ˆ θ k ) ∑ K k =1 w k hatwidest...
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## This note was uploaded on 07/26/2011 for the course STA 665 taught by Professor Staff during the Spring '10 term at Ohio State.

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ConditionalAssociation - Stat 665 (Spring 2011) Kaizar...

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