The “cut-off probability” as the measure of quantal improbability in the dilution method
The “cut-off probability” as the measure of quantal improbability in the dilution method
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“截止概率”作为稀释法中定量不可能性的度量
DOI：
10.1016/s0043-1354(98)00084-0
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发表时间：
1998
期刊：
影响因子：
12.8
通讯作者：
S. Fukunaga
中科院分区：
文献类型：
--
作者：
T. Kohno;S. Fukunaga
MPN传统上是根据两种不同稀释方案的MPN表计算的，因此细菌密度估计仅限于遵循上述方案中的任一方案。然而，计算机程序的使用可以允许使用任何稀释方案，并且同时使得不必模糊地将输出结果截断为三个。另一方面，众所周知，MPN可以用任何输出量子来计算，而不管该量子可能有多不可能。因此，在计算机工作中也应该估计不可能性。在本研究中，直接使用“截止概率”作为不可能性的度量是新提出的，其基础是任何具有小于概率的最大似然的量子都可以被认为是不可能的。在传统的错误拒绝水平最多为1%的截止概率计算，然后制定成一个方程适用于一些常见的稀释方案。此外，静态测量偏差被澄清为具有有限的可用性，因此，如果通过将测量与截止概率进行比较而通常使用，则是错误的。
The MPN has been traditionally calculated on the basis of MPN tables of two different dilution schemes and thus the bacterial density estimation has been restricted to follow either of the above schemes. However, the use of a computer program may allow the use of any dilution scheme and at the same time make it unnecessary to ambiguously truncate the output result to three. On the other hand, it is well known that the MPN can be calculated with any output quantum irrespective of how improbable the quantum may be. Thus, the improbability should be estimated also in the computer work. In the present study, the direct use of “cut-off probability” as the measure of improbability is newly proposed on the basis that any quantum having maximum likelihood less than the probability can be regarded as improbable. The cut-off probability at the traditional erroneous rejection level of at most 1% was computed and then formulated into an equation applicable with some common dilution schemes. Furthermore, a static measure deviance was clarified to have limited availability and therefore be erroneous if used in general through comparison of the measure with the cut-off probability.