Article
Version 1
Preserved in Portico This version is not peer-reviewed
Propositions for Confidence Interval in Systematic Sampling on Real Line
Version 1
: Received: 2 August 2016 / Approved: 2 August 2016 / Online: 2 August 2016 (11:07:53 CEST)
Version 2 : Received: 16 August 2016 / Approved: 16 August 2016 / Online: 16 August 2016 (11:39:57 CEST)
Version 3 : Received: 9 September 2016 / Approved: 9 September 2016 / Online: 9 September 2016 (11:52:36 CEST)
Version 4 : Received: 14 September 2016 / Approved: 15 September 2016 / Online: 15 September 2016 (05:18:42 CEST)
Version 2 : Received: 16 August 2016 / Approved: 16 August 2016 / Online: 16 August 2016 (11:39:57 CEST)
Version 3 : Received: 9 September 2016 / Approved: 9 September 2016 / Online: 9 September 2016 (11:52:36 CEST)
Version 4 : Received: 14 September 2016 / Approved: 15 September 2016 / Online: 15 September 2016 (05:18:42 CEST)
A peer-reviewed article of this Preprint also exists.
Çankaya, M. Propositions for Confidence Interval in Systematic Sampling on Real Line. Entropy 2016, 18, 352, doi:10.3390/e18100352. Çankaya, M. Propositions for Confidence Interval in Systematic Sampling on Real Line. Entropy 2016, 18, 352, doi:10.3390/e18100352.
Abstract
Systematic sampling on real line (R) when using the different probes is very attractive method within which the biomedical imaging is consulted by a surgery, etc. This study is an extension of [16], and an exact calculation method is proposed for the calculation of constant λq of confidence interval for the systematic sampling. If the smoothness constant q of measurement function occurred by slicing the three dimensional object is estimated to be enough small mean square error, we can make the important remarks for the design-based stereology used as a method to get the quantitative results from the tissues and the radiological images. Synthetic data can support the results of real data. The currently used covariogram model proposed by [28] is tested for the different measurement functions to see the performance on the variance estimation. The exact value of constant λq is examined for the different measurement functions as well.
Keywords
biomedical imaging; covariogram; design-based stereology; estimation of volume; systematic sampling
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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