Vlachonikolis I G, Marriott F H
Department of Mathematical Sciences, University of Technology, Loughborough, Leicestershire, UK.
Food Addit Contam. 1995 Sep-Oct;12(5):637-44. doi: 10.1080/02652039509374352.
Laboratory measures of low-level contamination are typically strongly skewed, and observations below a specified detection limit are recorded merely as not detectable or less than a specified limit. In these circumstances, a full description of the distribution requires assumptions about the form of the lower tail. If such assumptions are made, the distribution can be described in terms of the usual parameter estimates. The assumptions can be checked if similar samples can be accurately assessed using specialized equipment with a very low detection limit. Methods of fitting suitable distribution to data of this sort are discussed, and evaluated using results from a laboratory with equipment capable of measuring very low contamination levels. Estimates based on the complete data are compared with estimates based on assumed detection limits.
低水平污染的实验室测量结果通常存在强烈的偏态,低于指定检测限的观测值仅记录为未检测到或低于指定限值。在这种情况下,对分布的完整描述需要对下尾形式做出假设。如果做出了这些假设,就可以用通常的参数估计来描述分布。如果可以使用具有极低检测限的专业设备对类似样本进行准确评估,那么这些假设就可以得到检验。本文讨论了将合适的分布拟合到这类数据的方法,并使用一个配备了能够测量极低污染水平设备的实验室的结果进行了评估。将基于完整数据的估计值与基于假定检测限的估计值进行了比较。