Can i use difference in proportion test to compare two ratios i.e the average height of two groups a and b are 1.4m and 1.6 respectively. Assuming i have the sample sizes of these groups, can i use difference in proportions calculator (test) to evaluate whether there is a significant difference between the heights of the two groups instead of difference in means hypothesis test?
What happens if the heights are 0.7m and 0.6m respectively?
Is using difference in proportions calculator to identify whether there is a significant difference between the two groups highlighted above a right approach. If not, how does this flawed interpretation change w.r.t to the values being compared?
Best Answer
The simple answer here is "No". A slightly longer answer is "No, and why would you want to do that?"
The problem of testing the difference in means (or other measures of location) of two groups is very well studied and has lots of solutions depending on the exact circumstances, but the most basic is a simple t-test.
At the start of your question you mention ratios. I'm not sure why you do that, but ratios are also not proportions. If you want to test the difference in two ratios, that would be a different question, but here you seem to have just one ratio.