Tests of fit for the power function lognormal distribution

In this study, tests of fit for the power function lognormal distribution is considered. The probability plot, probability plot correlation coefficient, and goodness-of-fit tests—the Kolmogorov–Smirnov (KS), Cramér–von Mises (CvM), and Anderson–Darling (AD) tests are provided. Tables of critical val...

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Bibliographic Details
Published inPloS one Vol. 19; no. 2; p. e0298309
Main Authors Wang, Chao, Zhu, He
Format Journal Article
LanguageEnglish
Published United States Public Library of Science 22.02.2024
Public Library of Science (PLoS)
Subjects
Analysis
Distribution (Probability theory)
Engineering and Technology
Income distribution
Information management
Medicine and Health Sciences
Physical Sciences
Research and Analysis Methods
Simulation methods
Statistics
China
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Summary:In this study, tests of fit for the power function lognormal distribution is considered. The probability plot, probability plot correlation coefficient, and goodness-of-fit tests—the Kolmogorov–Smirnov (KS), Cramér–von Mises (CvM), and Anderson–Darling (AD) tests are provided. Tables of critical values are presented by using simulation techniques, and the AD test outperforms KS and CvM tests based on power comparisons. Finally, to illustrate these test procedures, we fit this distribution to the data which represent the survival times of 121 breast cancer patients from one hospital.
Bibliography:ObjectType-Article-1
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Competing Interests: The authors have declared that no competing interests exist.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0298309