Hello I have a study with an odds ratio of 1.95 and confidence intervals of 1.47-2.59 what do these results mean for the accuracy and precision of the results thanks

Answer 1

Hi!

For odds ratios, the default null hypothesis (H_0) is 1 (contrast this with regressions, where the null hypotheses usually involve beta=0). An odds ratios statistically significantly different from 1 (e.g. the confidence interval does not contain 1) implies that the probability of an event occurring is significantly greater than it not occurring. (Recall that if p=prob[event], the odds ratio is defined as p/(1-p).)

Hope this was helpful.