0
$\begingroup$

I have two sets of data y(x), one from experiments, and one from simulations. The datasets are naturally paired, as the same 80 different test set-ups were used for both data sets. I would like to quantify the difference between the data sets with a simple parameter.

Here is what my datasets might look like:

set1 = [
  x1  y1
  1.1 3.0
  1.3 5.2
  1.4 6.7
  ...
]

set2 = [
  x2  y2
  1.2 3.2
  1.2 5.1
  1.5 6.9
  ...
]

Importantly, the x parameter has some dependence on the y parameter, which causes the values to be slightly offset in the x direction.

If the x values where the same, I would simply do something like calculating the average of y1/y2 for all x to be able to say "set 1 is in general z % greater than set 2". However, the x offset complicates things.

I've looked at chi-squared test, Pearson correlation, and Euclidean distance, but I can't tell if they are applicable in my case.

For reference, here is a plot of the actual data. Each point in the left graph corresponds 1-1 to a point in the right graph.

enter image description here

Excuse me if the terminology is off here, I am a statistics novice.

$\endgroup$
6
  • 2
    $\begingroup$ Are the datasets naturally paired, as suggested by your example? That is, do they each have the same number of rows and the rows correspond one-to-one? $\endgroup$
    – whuber
    Commented Jul 16, 2020 at 22:00
  • $\begingroup$ Start with visualization, maybe a Tukey mean-difference plot. For an example see stats.stackexchange.com/questions/392703/… $\endgroup$ Commented Jul 17, 2020 at 2:30
  • $\begingroup$ @whuber yes, I have 80 experiments and 80 simulations with the same setup, and I expect the values to be very similar (in fact they are, but I want to quantify it) $\endgroup$ Commented Jul 17, 2020 at 7:02
  • $\begingroup$ @kjetilbhalvorsen it appears that a Tukey mean-difference plot is only relevant if I have 1d data? $\endgroup$ Commented Jul 17, 2020 at 7:46
  • 1
    $\begingroup$ To get better suggestions, maybe you should add some re real-world context? $\endgroup$ Commented Jul 18, 2020 at 23:04

0

Your Answer

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

Browse other questions tagged or ask your own question.