Propositions for Confidence Interval in Systematic Sampling on Real Line

Entropy

Mehmet Niyazi Çankaya¹ 

[1] Department of Statistics, Faculty of Arts and Science, University of Uşak, Ankara-İzmir Karayolu 8.Km. 1.Eylül Kampüsü, UŞAK 64200, Turkey;

关键词: biomedical imaging;    covariogram;    design-based stereology;    estimation of volume;    systematic sampling;   

DOI  :  10.3390/e18100352

来源: DOAJ

【 摘 要 】

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 onR , 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-sampledR . 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.

【 授权许可】

Unknown