A Critical Review on the Various Methods to Determine the 95% Confidence Interval of MPN.

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  • KOHNO Tetsuro
    Department of Civil and Environmental Engineering, Yamanashi University
  • SUZUKI Keisuke
    Department of Civil and Environmental Engineering, Yamanashi University

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  • 最確数の区間推定値としての９５％信頼区間の諸算定法とその比較検討
  • サイカクスウ ノ クカン スイテイチ ト シテ ノ 95パーセント シンライ クカン ノ ショ サンテイホウ ト ソノ ヒカク ケントウ

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Abstract

The confused present state in the method as well as in the value of 95% confidence interval of MPN is of interest. The confidence interval is prevalently expressed by either of the five different methods : Cochran's, Woodward's, Loyer & Hamilton's, Hurley & Roscoe's, and Bayesian methods. The first method assumes lognormal distribution of MPN as the basis for the interval, the second two methods, on the contrary, do not assume any distribution but take the null hypothesis at 5% significance level to select a set of quanta used to determine the interval. The last two methods rely on the likelihood function. The attention has been strictly put on the procedure to calculate the interval, by which difference in concept and feature, problems to be eliminated or reduced, and the applicability for the computer program can be clarified.

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