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Math Help - Logistics Regression: Odds Ratio for model with interactions

  1. #1
    Junior Member
    Joined
    Nov 2009
    Posts
    60

    Question Logistics Regression: Odds Ratio for model with interactions

    How do I find Odds Ratio for X2 for a model with interactions?

    fitted model :

    p = 1/ (1+exp {-0.377 + 0.0939*x1 - 0.464*X2 + 0.0308*X3 + 0.586*X1*X2+ 0.118*X2*X3 + 0.49*X1*X3 + 0.37*X1*X2*X3)

    where beta0,1,2,3,4,5,6,7 are as follows respectively:
    -0.377
    0.0939
    -0.464
    0.0308
    0.586
    0.118
    0.49
    0.37

    I understand that Odds Ratio |x2=1 / Odds Ratio |x2=0

    and that the final result is :
    = exp {beta2 + beta4*X1 + beta5*X3 +beta7*X1*X3}

    for a model without interactions, i can just do exp {Beta2}
    but for a model WITH interactions, how do i decide on what value to fix so that odds ratio for X2 can be compared ??
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  2. #2
    Junior Member
    Joined
    Nov 2009
    Posts
    60
    I have revised my equation (i took out interactions X1*X2*X3) :

    p = 1/ (1+exp {-0.377 + 0.0933*x1 - 0.463*X2 + 0.0259*X3 + 0.585*X1*X2+ 0.112X2*X3 + 0.054*X1*X3)


    and my final result is :

    Odds Ratio for X2 : exp {Beta2 + Beta5*x3}

    how do i work from here ?
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