PMID- 38386634 OWN - NLM STAT- MEDLINE DCOM- 20240226 LR - 20240226 IS - 1932-6203 (Electronic) IS - 1932-6203 (Linking) VI - 19 IP - 2 DP - 2024 TI - Tests of fit for the power function lognormal distribution. PG - e0298309 LID - 10.1371/journal.pone.0298309 [doi] LID - e0298309 AB - 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), Cramer-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. CI - Copyright: (c) 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. FAU - Wang, Chao AU - Wang C AD - School of Mathematics and Statistics, Anyang Normal University, Anyang, China. FAU - Zhu, He AU - Zhu H AUID- ORCID: 0000-0002-2831-818X AD - School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, China. LA - eng PT - Journal Article DEP - 20240222 PL - United States TA - PLoS One JT - PloS one JID - 101285081 SB - IM MH - Humans MH - *Probability MH - Statistical Distributions PMC - PMC10883551 COIS- The authors have declared that no competing interests exist. EDAT- 2024/02/22 18:42 MHDA- 2024/02/26 06:42 PMCR- 2024/02/22 CRDT- 2024/02/22 13:33 PHST- 2023/02/01 00:00 [received] PHST- 2024/01/18 00:00 [accepted] PHST- 2024/02/26 06:42 [medline] PHST- 2024/02/22 18:42 [pubmed] PHST- 2024/02/22 13:33 [entrez] PHST- 2024/02/22 00:00 [pmc-release] AID - PONE-D-23-02903 [pii] AID - 10.1371/journal.pone.0298309 [doi] PST - epublish SO - PLoS One. 2024 Feb 22;19(2):e0298309. doi: 10.1371/journal.pone.0298309. eCollection 2024.