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I am trying to quantify the difference between two discrete distributions. I have been reading online and there seems to be a few different ways such as a Kolmogorov-Smirnov test and a chi squared test.

My first question is which of these is the correct method for comparing the distributions below?

The distributions are discrete distributions with 24 bins.

My second question is that, it pretty obvious looking at the distributions that they will be statistically significantly different, but is there a method to quantify how different they are? I'm not sure, but a percentage or distance perhaps?

I've been told that if you use the Kolmogorov-Smirnov test, a measure of how different the distributions are will be the p-value. Is that correct?

I appreciate any help and comments

Kind Regards

https://dl.dropbox.com/u/54057365/All/phy.JPG [Broken]

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# Quantify difference between discrete distributions

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