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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2024-01-01
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| Series: | PLoS ONE |
| Online Access: | https://doi.org/10.1371/journal.pone.0298309 |
| _version_ | 1797292805373034496 |
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| author | Chao Wang He Zhu |
| author_facet | Chao Wang He Zhu |
| author_sort | Chao Wang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-07T20:02:49Z |
| format | Article |
| id | doaj.art-1e2b8986a0764f5bbb099353693dea45 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-03-07T20:02:49Z |
| publishDate | 2024-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-1e2b8986a0764f5bbb099353693dea452024-02-28T05:31:45ZengPublic Library of Science (PLoS)PLoS ONE1932-62032024-01-01192e029830910.1371/journal.pone.0298309Tests of fit for the power function lognormal distribution.Chao WangHe ZhuIn 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.https://doi.org/10.1371/journal.pone.0298309 |
| spellingShingle | Chao Wang He Zhu Tests of fit for the power function lognormal distribution. PLoS ONE |
| title | Tests of fit for the power function lognormal distribution. |
| title_full | Tests of fit for the power function lognormal distribution. |
| title_fullStr | Tests of fit for the power function lognormal distribution. |
| title_full_unstemmed | Tests of fit for the power function lognormal distribution. |
| title_short | Tests of fit for the power function lognormal distribution. |
| title_sort | tests of fit for the power function lognormal distribution |
| url | https://doi.org/10.1371/journal.pone.0298309 |
| work_keys_str_mv | AT chaowang testsoffitforthepowerfunctionlognormaldistribution AT hezhu testsoffitforthepowerfunctionlognormaldistribution |