compare two lower confidence interval of odds ratio?

phson

New member
Joined
Mar 29, 2017
Messages
1
Dear all,

I have a problem with comparing two lower confidence intervals of odds ratio. The detail is follow:

Given: a,b,c >=1 ; d >=2; a+b = D1; c+d = D2 (D1 and D2 are constant)


lci1 = e^[ln(a*d/b*c)-1.96*square root(1/a+1/b+1/c+1/d)]

lci2 = e^[ln(a*(d-1)/b*(c+1) - 1.96*square root(1/a+1/b+1/(c+1)+1/(d-1)]

I want to approve lci1 > lci2 with all a,b,c,d


I have progammed this problem in computer. As the result, it is true ( lci1 > lci2 ). We want demonstrate this inequation in mathematical style. Could you please help me?


Thank you in advance!

Best,
 

Subhotosh Khan

Super Moderator
Staff member
Joined
Jun 18, 2007
Messages
18,577
Dear all,

I have a problem with comparing two lower confidence intervals of odds ratio. The detail is follow:

Given: a,b,c >=1 ; d >=2; a+b = D1; c+d = D2 (D1 and D2 are constant)


lci1 = e^[ln(a*d/b*c)-1.96*square root(1/a+1/b+1/c+1/d)]

lci2 = e^[ln(a*(d-1)/b*(c+1) - 1.96*square root(1/a+1/b+1/(c+1)+1/(d-1)]

I want to approve lci1 > lci2 with all a,b,c,d


I have progammed this problem in computer. As the result, it is true ( lci1 > lci2 ). We want demonstrate this inequation in mathematical style. Could you please help me?


Thank you in advance!

Best,
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