I have a problem regarding the comparison of the likelihood ratios in two diagnostic tests. The definition of positive likelihood ratio in screening tests is "the probability of a person who has the disease testing positive divided by the probability of a person who does not have the disease testing positive", which equals to Sensitivity/(1-specificity).
Now I have two different diagnostic tests conducted in two different populations, so I can calculate positive likelihood ratios (LR+) for both tests. I would like to check if there is statistically significant difference for this indicator between the two tests. What kind of statistical tests shall I use? I would appreciate a lot if someone could give me a hint.