0
$\begingroup$

I have collected ratings on a scale from 0 to 100 for two different conditions: A and B. I want to show now, that the ratings collected under both conditions are very similar and that their range overlap.

How can I do that best? I thought about drawing a box plot for both conditions, but I would prefer a number / numbers to show.

Improve this question
$\endgroup$
1
  • $\begingroup$ how about plotting them on a histogram, you could also add descriptive statistics as desired, e.g, mean, mode, median, st dev $\endgroup$
    – Robert Jones
    Commented Feb 3, 2018 at 13:19

2 Answers 2

Reset to default
1
$\begingroup$

The Bhattacharyya distance is a coefficient in the [0;1] range showing the overlap between two probability distributions. Intuitively, it seems to give the answer you desire.

Improve this answer
$\endgroup$
1
  • $\begingroup$ Although I think this could answer this (dated) question, the Bhattacharyya distance is a measure of dissimilarity (distance between two probability distributions). As I'd have to assume the OP specifically asked for showing similarity when looking at the question, IMO it does not completely answer the question. If you (@abaumann) could expand this answer with how you'd use Bhattacharyya distance to show similarity, I feel the effort would be complete. $\endgroup$
    – IWS
    Commented Jan 2, 2018 at 10:53
0
$\begingroup$

Why not just use the numbers from the box plot, that is a table with the minimum, 25 percentile, 50 percentile (median), 75 percentile, and maximum? Alternatively, you could simply say what percentage of X values lie in the range of observed Y values.

Improve this answer
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.