Propositions for Confidence Interval in Systematic Sampling on Real Line

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 λ_q 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 λ_q is examined for the different measurement functions as well.