Propositions for Confidence Interval in Systematic Sampling on Real Line
Systematic sampling is used as a method to get the quantitative results from tissues and radiological images. Systematic sampling on a real line ( R ) is a very attractive method within which biomedical imaging is consulted by practitioners. For the systematic sampling on R , the measuremen...
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| Format: | Article |
| Language: | English |
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MDPI AG
2016-09-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/18/10/352 |
| _version_ | 1798035071036293120 |
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| author | Mehmet Niyazi Çankaya |
| author_facet | Mehmet Niyazi Çankaya |
| author_sort | Mehmet Niyazi Çankaya |
| collection | DOAJ |
| description | Systematic sampling is used as a method to get the quantitative results from tissues and radiological images. Systematic sampling on a real line ( R ) is a very attractive method within which biomedical imaging is consulted by practitioners. For the systematic sampling on R , the measurement function ( M F ) occurs by slicing the three-dimensional object equidistant systematically. The currently-used covariogram model in variance approximation is tested for the different measurement functions in a class to see the performance on the variance estimation of systematically-sampled R . An exact calculation method is proposed to calculate the constant λ ( q , N ) of the confidence interval in the systematic sampling. The exact value of constant λ ( q , N ) is examined for the different measurement functions, as well. As a result, it is observed from the simulation that the proposed M F should be used to check the performances of the variance approximation and the constant λ ( q , N ) . Synthetic data can support the results of real data. |
| first_indexed | 2024-04-11T20:53:07Z |
| format | Article |
| id | doaj.art-bea18e7488964449b5c545b8acf6d9d0 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T20:53:07Z |
| publishDate | 2016-09-01 |
| publisher | MDPI AG |
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| series | Entropy |
| spelling | doaj.art-bea18e7488964449b5c545b8acf6d9d02022-12-22T04:03:47ZengMDPI AGEntropy1099-43002016-09-01181035210.3390/e18100352e18100352Propositions for Confidence Interval in Systematic Sampling on Real LineMehmet Niyazi Çankaya0Department of Statistics, Faculty of Arts and Science, University of Uşak, Ankara-İzmir Karayolu 8.Km. 1.Eylül Kampüsü, UŞAK 64200, TurkeySystematic sampling is used as a method to get the quantitative results from tissues and radiological images. Systematic sampling on a real line ( R ) is a very attractive method within which biomedical imaging is consulted by practitioners. For the systematic sampling on R , the measurement function ( M F ) occurs by slicing the three-dimensional object equidistant systematically. The currently-used covariogram model in variance approximation is tested for the different measurement functions in a class to see the performance on the variance estimation of systematically-sampled R . An exact calculation method is proposed to calculate the constant λ ( q , N ) of the confidence interval in the systematic sampling. The exact value of constant λ ( q , N ) is examined for the different measurement functions, as well. As a result, it is observed from the simulation that the proposed M F should be used to check the performances of the variance approximation and the constant λ ( q , N ) . Synthetic data can support the results of real data.http://www.mdpi.com/1099-4300/18/10/352biomedical imagingcovariogramdesign-based stereologyestimation of volumesystematic sampling |
| spellingShingle | Mehmet Niyazi Çankaya Propositions for Confidence Interval in Systematic Sampling on Real Line Entropy biomedical imaging covariogram design-based stereology estimation of volume systematic sampling |
| title | Propositions for Confidence Interval in Systematic Sampling on Real Line |
| title_full | Propositions for Confidence Interval in Systematic Sampling on Real Line |
| title_fullStr | Propositions for Confidence Interval in Systematic Sampling on Real Line |
| title_full_unstemmed | Propositions for Confidence Interval in Systematic Sampling on Real Line |
| title_short | Propositions for Confidence Interval in Systematic Sampling on Real Line |
| title_sort | propositions for confidence interval in systematic sampling on real line |
| topic | biomedical imaging covariogram design-based stereology estimation of volume systematic sampling |
| url | http://www.mdpi.com/1099-4300/18/10/352 |
| work_keys_str_mv | AT mehmetniyazicankaya propositionsforconfidenceintervalinsystematicsamplingonrealline |