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Entropy 2016, 18(10), 352; doi:10.3390/e18100352

Propositions for Confidence Interval in Systematic Sampling on Real Line

Department of Statistics, Faculty of Arts and Science, University of Uşak, Ankara-İzmir Karayolu 8.Km. 1.Eylül Kampüsü, UŞAK 64200, Turkey
Academic Editor: Raúl Alcaraz Martínez
Received: 14 June 2016 / Revised: 14 September 2016 / Accepted: 21 September 2016 / Published: 28 September 2016
(This article belongs to the Section Information Theory)
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Abstract

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. View Full-Text
Keywords: biomedical imaging; covariogram; design-based stereology; estimation of volume; systematic sampling biomedical imaging; covariogram; design-based stereology; estimation of volume; systematic sampling
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Çankaya, M.N. Propositions for Confidence Interval in Systematic Sampling on Real Line. Entropy 2016, 18, 352.

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