# Odds ratios multiple comparisons

I have to assess for each product p, the odds ratio associated (success/failure). The data are in this table:

N_success   N_trials    p1    p2   p3    p4   p5
5          310         n     n     n     n    n
17         700         n     y     n     n    y
12         650         y     y     y     n    n
27         214         n     y     n     n    y
0          87          n     n     n     y    n


So I did that and I got the odds ratios for each plus the 95% asymptotic confidence intervals:

p1= (0.2558322 0.48442194 0.91725993)
p2= (1.1584454 2.9114056 7.316946)
p3= (0.2558322 0.48442194 0.91725993)
p4= nil
p5= (1.738197 3.0642326 5.4018736)


Now is this correct way to assess? There are at least two situations where the lower 95% CI of the OR is above 1 (p2 and p4) but should I not take into account multiple comparisons? What is the best way to do that with odds ratios (Bonferroni, others)? Is it better to use logistic regressions (and how)? Thanks

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