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
Systematic sampling is used as a method to get the quantitative results from tissues and radiological images. Systematic sampling on a real line (
) is a very attractive method within which biomedical imaging is consulted by practitioners. For the systematic sampling on
, the measurement function (
) 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
. An exact calculation method is proposed to calculate the constant
of the confidence interval in the systematic sampling. The exact value of constant
is examined for the different measurement functions, as well. As a result, it is observed from the simulation that the proposed
should be used to check the performances of the variance approximation and the constant
. Synthetic data can support the results of real data.
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. (CC BY 4.0).
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MDPI and ACS Style
Çankaya, M.N. Propositions for Confidence Interval in Systematic Sampling on Real Line. Entropy 2016, 18, 352.
Çankaya MN. Propositions for Confidence Interval in Systematic Sampling on Real Line. Entropy. 2016; 18(10):352.
Çankaya, Mehmet N. 2016. "Propositions for Confidence Interval in Systematic Sampling on Real Line." Entropy 18, no. 10: 352.
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