Here are histograms of the random numbers versus data for Stripe 82. As you can see it seems like the randoms are matching the data pretty well:
Cartesian
Spherical Coordinates
Therefore I don't think this is what is causing the problem in my calculation on the data. I coded up the correlation function to print out the components as per Nic's suggestion (see yesterday's post). Hopefully this will help me isolate the problem.
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