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The test statistic (AD) is defined as: {text{AD}} = - n - frac{1}{n}sumlimits_{i = 1}^{n} {(2i - 1 left( {ln (x_{i} ) + ln (1 - (x_{(n + 1 - i)} ))} right)}, (9 where (left{ {x_{(1)} < cdots < x_{(n)} } right}) is the ordered (from smallest to the largest element) sample of size n, and (F x)) is the underlying theoretical cumulative distribution to which the sample is compared.
The threshold P2* is a value of the order parameter chosen such that it separates the ordered from the disordered phase, and was chosen as P2* = 0.665 [39].
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