Non-parametric hypothesis testing to model some cancers based on goodness of fit
By observing the failure behavior of the recorded survival data, we aim to compare the different processing approaches or the effectiveness of the devices or systems applied in this non-parametric statistical test. We'll apply the proposed strategy of used better than aged in Laplace (UBAL) tra...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022756?viewType=HTML |
| _version_ | 1817975932043919360 |
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| author | M. E. Bakr M. Nagy Abdulhakim A. Al-Babtain |
| author_facet | M. E. Bakr M. Nagy Abdulhakim A. Al-Babtain |
| author_sort | M. E. Bakr |
| collection | DOAJ |
| description | By observing the failure behavior of the recorded survival data, we aim to compare the different processing approaches or the effectiveness of the devices or systems applied in this non-parametric statistical test. We'll apply the proposed strategy of used better than aged in Laplace (UBAL) transform order, which assumes that the data used in the test will either behave as UBAL Property or exponential behavior. If the survival data is UBAL, it means that the suggested treatment strategy is effective, whereas if the data is exponential, the recommended treatment strategy has no negative or positive effect on patients, as indicated in the application section. To guarantee the test's validity, we calculated the suggested test's power in both censored and uncensored data, as well as its efficiency, compared the results to other tests, and then applied the test to a variety of real data. |
| first_indexed | 2024-04-13T21:55:49Z |
| format | Article |
| id | doaj.art-c878f895bd7f4c27ad063637306ac901 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-13T21:55:49Z |
| publishDate | 2022-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-c878f895bd7f4c27ad063637306ac9012022-12-22T02:28:15ZengAIMS PressAIMS Mathematics2473-69882022-05-0178137331374510.3934/math.2022756Non-parametric hypothesis testing to model some cancers based on goodness of fitM. E. Bakr 0M. Nagy 1Abdulhakim A. Al-Babtain2Department of Statistics and Operation Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Statistics and Operation Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Statistics and Operation Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaBy observing the failure behavior of the recorded survival data, we aim to compare the different processing approaches or the effectiveness of the devices or systems applied in this non-parametric statistical test. We'll apply the proposed strategy of used better than aged in Laplace (UBAL) transform order, which assumes that the data used in the test will either behave as UBAL Property or exponential behavior. If the survival data is UBAL, it means that the suggested treatment strategy is effective, whereas if the data is exponential, the recommended treatment strategy has no negative or positive effect on patients, as indicated in the application section. To guarantee the test's validity, we calculated the suggested test's power in both censored and uncensored data, as well as its efficiency, compared the results to other tests, and then applied the test to a variety of real data.https://www.aimspress.com/article/doi/10.3934/math.2022756?viewType=HTMLtesting hypothesisright censored dataexponentialweibullgammamakeham and linear failure rate (lfr) distributionsuba and ubal classes of life distributionsmedical data |
| spellingShingle | M. E. Bakr M. Nagy Abdulhakim A. Al-Babtain Non-parametric hypothesis testing to model some cancers based on goodness of fit AIMS Mathematics testing hypothesis right censored data exponential weibull gamma makeham and linear failure rate (lfr) distributions uba and ubal classes of life distributions medical data |
| title | Non-parametric hypothesis testing to model some cancers based on goodness of fit |
| title_full | Non-parametric hypothesis testing to model some cancers based on goodness of fit |
| title_fullStr | Non-parametric hypothesis testing to model some cancers based on goodness of fit |
| title_full_unstemmed | Non-parametric hypothesis testing to model some cancers based on goodness of fit |
| title_short | Non-parametric hypothesis testing to model some cancers based on goodness of fit |
| title_sort | non parametric hypothesis testing to model some cancers based on goodness of fit |
| topic | testing hypothesis right censored data exponential weibull gamma makeham and linear failure rate (lfr) distributions uba and ubal classes of life distributions medical data |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022756?viewType=HTML |
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