One-Stage Multiple Comparisons with the Control for Exponential Median Lifetimes under Heteroscedasticity
When the additional sample for the second stage may not be available, one-stage multiple comparisons for exponential median lifetimes with the control under heteroscedasticity including one-sided and two-sided confidence intervals are proposed in this paper since the median is a more robust measure...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/9/1405 |
| _version_ | 1797556407166304256 |
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| author | Shu-Fei Wu |
| author_facet | Shu-Fei Wu |
| author_sort | Shu-Fei Wu |
| collection | DOAJ |
| description | When the additional sample for the second stage may not be available, one-stage multiple comparisons for exponential median lifetimes with the control under heteroscedasticity including one-sided and two-sided confidence intervals are proposed in this paper since the median is a more robust measure of central tendency compared to the mean. These intervals can be used to identify treatment populations that are better than the control or worse than the control in terms of median lifetimes in agriculture, stock market, pharmaceutical industries. Tables of critical values are obtained for practical use. An example of comparing the survival days for four categories of lung cancer in a standard chemotherapeutic agent is given to demonstrate the proposed procedures. |
| first_indexed | 2024-03-10T17:02:22Z |
| format | Article |
| id | doaj.art-e80260db02a345178274ade32a1a9541 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T17:02:22Z |
| publishDate | 2020-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-e80260db02a345178274ade32a1a95412023-11-20T10:56:28ZengMDPI AGMathematics2227-73902020-08-0189140510.3390/math8091405One-Stage Multiple Comparisons with the Control for Exponential Median Lifetimes under HeteroscedasticityShu-Fei Wu0Department of Statistics, Tamkang University, Tamsui, New Taipei City 251301, TaiwanWhen the additional sample for the second stage may not be available, one-stage multiple comparisons for exponential median lifetimes with the control under heteroscedasticity including one-sided and two-sided confidence intervals are proposed in this paper since the median is a more robust measure of central tendency compared to the mean. These intervals can be used to identify treatment populations that are better than the control or worse than the control in terms of median lifetimes in agriculture, stock market, pharmaceutical industries. Tables of critical values are obtained for practical use. An example of comparing the survival days for four categories of lung cancer in a standard chemotherapeutic agent is given to demonstrate the proposed procedures.https://www.mdpi.com/2227-7390/8/9/1405one-stage proceduretwo-stage proceduremultiple comparison procedures with the control |
| spellingShingle | Shu-Fei Wu One-Stage Multiple Comparisons with the Control for Exponential Median Lifetimes under Heteroscedasticity Mathematics one-stage procedure two-stage procedure multiple comparison procedures with the control |
| title | One-Stage Multiple Comparisons with the Control for Exponential Median Lifetimes under Heteroscedasticity |
| title_full | One-Stage Multiple Comparisons with the Control for Exponential Median Lifetimes under Heteroscedasticity |
| title_fullStr | One-Stage Multiple Comparisons with the Control for Exponential Median Lifetimes under Heteroscedasticity |
| title_full_unstemmed | One-Stage Multiple Comparisons with the Control for Exponential Median Lifetimes under Heteroscedasticity |
| title_short | One-Stage Multiple Comparisons with the Control for Exponential Median Lifetimes under Heteroscedasticity |
| title_sort | one stage multiple comparisons with the control for exponential median lifetimes under heteroscedasticity |
| topic | one-stage procedure two-stage procedure multiple comparison procedures with the control |
| url | https://www.mdpi.com/2227-7390/8/9/1405 |
| work_keys_str_mv | AT shufeiwu onestagemultiplecomparisonswiththecontrolforexponentialmedianlifetimesunderheteroscedasticity |