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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 constantλ ( q , N )of the confidence interval in the systematic sampling. The exact value of constantλ ( q , N )is examined for the different measurement functions, as well. As a result, it is observed from the simulation that the proposedM Fshould be used to check the performances of the variance approximation and the constantλ ( q , N )    . Synthetic data can support the results of real data

Propositions for Confidence Interval in Systematic Sampling on Real Line