Fuzzy Approach for Group Sequential Test
Buckley’s approach (Buckley (2004), (2005), (2006)) uses sets of confidence intervals by taking into consideration both of the uncertainty and impreciseness of concepts that produce triangular shaped fuzzy numbers for the estimator. This approach produces fuzzy test statistics and fuzzy critical val...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2014/896150 |
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| _version_ | 1850167736404017152 |
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| author | Duygu İçen Sevil Bacanlı Süleyman Günay |
| author_facet | Duygu İçen Sevil Bacanlı Süleyman Günay |
| author_sort | Duygu İçen |
| collection | DOAJ |
| description | Buckley’s approach (Buckley (2004), (2005), (2006)) uses sets of confidence intervals by taking into consideration both of the uncertainty and impreciseness of concepts that produce triangular shaped fuzzy numbers for the estimator. This approach produces fuzzy test statistics and fuzzy critical values in hypothesis testing. In addition, the sample size is fixed for this test. When data comes sequentially, however, it is not suitable to study with a fixed sample size test. In such cases, sequential and group sequential tests are recommended. Unlike a sequential test, a group of sequential test provides substantial savings in sample and enables us to make decisions as early as possible. This intends paper to combine the benefits of group sequential test and Buckley's approach using α-cuts. It attempts to show that using α-cuts can be used within the group sequential tests. To illustrate the test more explicitly a numerical example is also given. |
| format | Article |
| id | doaj-art-df7fc2f356f44af9b254673b7c2297cd |
| institution | OA Journals |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-df7fc2f356f44af9b254673b7c2297cd2025-08-20T02:21:08ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2014-01-01201410.1155/2014/896150896150Fuzzy Approach for Group Sequential TestDuygu İçen0Sevil Bacanlı1Süleyman Günay2Department of Statistics, Hacettepe University, 06800 Ankara, TurkeyDepartment of Statistics, Hacettepe University, 06800 Ankara, TurkeyDepartment of Statistics, Hacettepe University, 06800 Ankara, TurkeyBuckley’s approach (Buckley (2004), (2005), (2006)) uses sets of confidence intervals by taking into consideration both of the uncertainty and impreciseness of concepts that produce triangular shaped fuzzy numbers for the estimator. This approach produces fuzzy test statistics and fuzzy critical values in hypothesis testing. In addition, the sample size is fixed for this test. When data comes sequentially, however, it is not suitable to study with a fixed sample size test. In such cases, sequential and group sequential tests are recommended. Unlike a sequential test, a group of sequential test provides substantial savings in sample and enables us to make decisions as early as possible. This intends paper to combine the benefits of group sequential test and Buckley's approach using α-cuts. It attempts to show that using α-cuts can be used within the group sequential tests. To illustrate the test more explicitly a numerical example is also given.http://dx.doi.org/10.1155/2014/896150 |
| spellingShingle | Duygu İçen Sevil Bacanlı Süleyman Günay Fuzzy Approach for Group Sequential Test Advances in Fuzzy Systems |
| title | Fuzzy Approach for Group Sequential Test |
| title_full | Fuzzy Approach for Group Sequential Test |
| title_fullStr | Fuzzy Approach for Group Sequential Test |
| title_full_unstemmed | Fuzzy Approach for Group Sequential Test |
| title_short | Fuzzy Approach for Group Sequential Test |
| title_sort | fuzzy approach for group sequential test |
| url | http://dx.doi.org/10.1155/2014/896150 |
| work_keys_str_mv | AT duyguicen fuzzyapproachforgroupsequentialtest AT sevilbacanlı fuzzyapproachforgroupsequentialtest AT suleymangunay fuzzyapproachforgroupsequentialtest |