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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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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Abstract 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.
AbstractList 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.
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.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.
Audience Academic
Author Wang, Chao
Zhu, He
AuthorAffiliation 1 School of Mathematics and Statistics, Anyang Normal University, Anyang, China
2 School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, China
Abdul Wali Khan University Mardan, PAKISTAN
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Cites_doi 10.1002/0471457175
10.1371/journal.pone.0280349
10.1080/03610926.2015.1078478
10.1371/journal.pone.0267142
10.1080/00401706.1975.10489279
10.1016/j.apm.2012.06.019
10.1080/03610926.2021.1965622
10.1080/01621459.1960.10482081
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Copyright Copyright: © 2024 Wang, Zhu. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
COPYRIGHT 2024 Public Library of Science
2024 Wang, Zhu 2024 Wang, Zhu
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SubjectTerms Analysis
Distribution (Probability theory)
Engineering and Technology
Income distribution
Information management
Medicine and Health Sciences
Physical Sciences
Research and Analysis Methods
Simulation methods
Statistics
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Title Tests of fit for the power function lognormal distribution
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