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This commit updates the first bins that we use before applying the
energy resolution in the chi2 script. The reason we do this is because
when adding the energy resolution, events outside of the original bins
may migrate into the first and last bin.
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- add get_multinomial_prob() function to stats.py
- add plot_hist2_data_mc() function to do the normal particle id plot
but also print p values
- other small bug fixes
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This commit adds the new file sddm/stats.py to and adds a function to
correctly sample a Monte Carlo histogram when computing p-values. In
particular, I now take into account the uncertainty on the total number
of expected events by drawing from a gamma distribution, which is the
posterior of the Poisson likelihood function with a prior of 1/lambda.
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This commit adds a first draft of a script called chi2. This script calculates
a chi2 for the null hypothesis test if the events in the energy range 20 MeV -
10 GeV match what we expect from atmospheric neutrino events.
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