Weighted average and uncertainties propagation in pyFAI¶
TODO
Distinction between the std and the sem
A word about notation¶
Five different histograms are calculated for an integration: sum_signal sum_variance sum_normalisation sum_normalisation_sqarred sum_count
Average¶
sum_signal/sum_normalisation
Uncertainties propagated from known variance¶
Often assuming Poisson statistics
Uncertainties calculated from the variance in a ring¶
Note the difference with schubert’s paper where wi are not squarred
Conclusion¶
Point to a notebook where the demonstration is performed that average/uncertainties scale well with normalization_factor