Propositions for Confidence Interval in Systematic Sampling on Real Line

• Main Author: Mehmet Niyazi Çankaya
• Format: Article
• Language: English
• Published: MDPI AG 2016-09-01
• Series: Entropy
• Subjects: biomedical imaging; covariogram; design-based stereology; estimation of volume; systematic sampling
• Online Access: http://www.mdpi.com/1099-4300/18/10/352

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.