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Computation of Probability Associated with Anderson–Darling Statistic

1
Department of Physics and Chemistry, Technical University of Cluj-Napoca, Muncii Blvd. No. 103-105, Cluj-Napoca 400641, Romania
2
Doctoral Studies, Babeş-Bolyai University, Mihail Kogălniceanu Str., No. 1, Cluj-Napoca 400028, Romania
3
Department of Medical Informatics and Biostatistics, Iuliu Haţieganu University of Medicine and Pharmacy, Louis Pasteur Str., No. 6, Cluj-Napoca 400349, Romania
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(6), 88; https://doi.org/10.3390/math6060088
Received: 14 April 2018 / Revised: 21 May 2018 / Accepted: 23 May 2018 / Published: 25 May 2018
(This article belongs to the Special Issue Applied and Computational Statistics)
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Abstract

The correct application of a statistical test is directly connected with information related to the distribution of data. Anderson–Darling is one alternative used to test if the distribution of experimental data follows a theoretical distribution. The conclusion of the Anderson–Darling test is usually drawn by comparing the obtained statistic with the available critical value, which did not give any weight to the same size. This study aimed to provide a formula for calculation of p-value associated with the Anderson–Darling statistic considering the size of the sample. A Monte Carlo simulation study was conducted for sample sizes starting from 2 to 61, and based on the obtained results, a formula able to give reliable probabilities associated to the Anderson–Darling statistic is reported. View Full-Text
Keywords: Anderson–Darling test (AD); probability; Monte Carlo simulation Anderson–Darling test (AD); probability; Monte Carlo simulation
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Jäntschi, L.; Bolboacă, S.D. Computation of Probability Associated with Anderson–Darling Statistic. Mathematics 2018, 6, 88.

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