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  • What if a confidence interval ends nearly at 1.0?

    Dear all users,

    I found the following findings in the multivariate analysis for 3 measurements:
    A: (AOR=2.6, (95%CI (1.04 - 6.7), p = 0.014)).
    B: (AOR= 2.5, (95% CI (1.3 - 4.7), p = 0.005))
    C: (AOR =1.6, (95% CI (1.3-1.9), p < 0.001)).
    My question is about that the lower confidence intervals which include: 1.04, and 1.3 (above). Are they part of 1 and say even if the p-valued showed significant, not significant?
    Thank you so much in advance for your swift response.
    Best,

  • #2
    Seman:
    as the indifference value for an AOR is 1 and 1.04>1, 95% CI and p-value are consistent.
    Kind regards,
    Carlo
    (Stata 19.0)

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    • #3
      Also, remember that the odds ratios you get from a logistic regression are the ratios associated with a unit difference in the independent variable. If your independent variable is a dichotomous variable, then an odds ratio of 1.3 is actually a moderately strong association: the odds differ by a full 30% between the yes and no conditions of the predictor. For a continuous variable, the impressiveness of an odds ratio depends on the scale of the independent variable. If, for example, the independent variable ranges from 1 to 1000, then in the data, differences in the independent variable as large as two hundred would be common, and the corresponding difference in the outcome odds with an aOR of just 1.01 would be something like 1.01200 which is 7.3, an enormous difference!

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      • #4
        Thank you so much for your sound professional comments (Carlo and Clyde Schechter).
        Best,

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