Propositions for confidence interval in systematic sampling on real line

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ÇANKAYA M. N.

Entropy, cilt.18, sa.10, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 10
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3390/e18100352
  • Dergi Adı: Entropy
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Biomedical imaging, Covariogram, Design-based stereology, Estimation of volume, Systematic sampling
  • Uşak Üniversitesi Adresli: Hayır

Özet

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 (MF) 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 MF 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.