# Correlation between two datasets

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Austin Gonzalez on 12 May 2016
Commented: DIPTI MISHRA on 1 Jul 2020
Hello, I have two data sets that I'd like to have some measure of similarity between them. The two plots are http://i.imgur.com/Oa0BNWv.png http://i.imgur.com/Ti3LcVm.png
I have two [x,y] sets. The two sets are not the same size. I, admittedly, don't have much of a clue of what to do. The two pictures appear visually similar, I'd like a way to define this.
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DIPTI MISHRA on 1 Jul 2020
Can anyone suggest me how to plot the distribuation for complete dataset?
Actually I want to check the similarity between two image datasets.

Ahmet Cecen on 12 May 2016
Edited: Ahmet Cecen on 12 May 2016
There are 3 ways I am aware of that you can do this:
1. You find a way to make them have the same number of points and use the Pearson Product Moment Coefficient.
2. You find a way to fit some distribution to them, maybe the x and y components independently, and compare the fit parameters, maybe with a t-test for statistical significance.
3. You find a way to grid your data, which might involve rounding etc, but you need to have a say 1000x1000 matrix with 1s where there is a data point, which when you use imagesc to plot should give you an image similar to the plots you shared. In this case you can use a convolution to obtain some measure of similarity.
Without knowing more about your data, this is all I can suggest.
Ahmet Cecen on 13 May 2016
Upload a pair of example datasets, I can show you then. Otherwise will take too long to explain.

Image Analyst on 12 May 2016
You might take a look at "the bible" for analyzing spatial point patterns - the book by Adrian Baddeley of CSIRO: http://umaine.edu/computingcoursesonline/files/2011/07/SpatstatmodelingWorkshop.pdf This is the authoritative reference on the topic.

Image Analyst on 14 May 2016
You will find lots of algorithms if you search on "point matching algorithms":

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