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Figure 5
The Kolmogorov–Smirnov two-sample test applied to single peaks from two patterns which occur at the same value of 2θ. (a) D = 0.22; the associated probability p(H0|D) = 0.98, i.e. the null hypothesis that the two peaks are drawn from identical samples, is accepted with an associated probability of 0.98. (b) D = 0.51, with p(H0|D) = 0.25. In this case the peaks are drawn from different samples, which can be seen via the offset in 2θ and the very different peak shapes.

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