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Individualization of gasoline samples by covariance mapping and gas chromatography/mass spectrometry

机译:通过协方差映射和气相色谱/质谱法对汽油样品进行个性化处理

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A set of 10 fresh (unevaporated) gasoline samples from a single metropolitan area were differentiated based on a covariance mapping method combined with a t-test statistic. The covariance matrix for each sample was calculated from the retention time-ion abundance data set obtained by gas chromatography/mass spectrometry analysis. Distance metrics were calculated between the covariance matrices from replicate analyses of the same sample and between the replicate analyses of different samples. The distance metric for the same-sample comparisons were shown to constitute a population significantly different from the distance metric for the different-sample comparisons. A power analysis was performed to estimate the number of analyses needed to discriminate between two samples while maintaining a probability of type II error, beta, below 1%, e.g., a test power greater than 99%. Triplicate analyses of two gasoline samples was shown to be sufficient to discriminate between the two using a t-test, while keeping beta < 0.01 at a significance level, alpha, of 0.05. Analysis of the 45 possible pairwise comparisons between samples found that 100% of the samples were statistically distinguishable, and no type II errors occurred. Blind tests were conducted wherein 2 of the 10 gasoline samples where presented as unknowns. One of the unknowns was found to be indistinguishable from the original source, and one unknown was determined to be statistically different from the original source, constituting a type I error. The effects of evaporation on sample comparison are not addressed in this paper. The results from this study demonstrate a statistically acceptable method of physical evidence comparison in forensic casework.
机译:基于协方差映射方法和t检验统计量,对一个大都市地区的一组10个新鲜(未蒸发)汽油样品进行了区分。根据通过气相色谱/质谱分析获得的保留时间-离子丰度数据集,计算每个样品的协方差矩阵。从同一样本的重复分析得出的协方差矩阵之间以及在不同样本的重复分析之间计算出距离度量。相同样本比较的距离度量显示出与不同样本比较的距离度量显着不同。进行功效分析以估计区分两个样本所需的分析次数,同时将II型误差beta的概率保持在1%以下,例如测试功效大于99%。结果表明,使用t检验对两个汽油样品进行一式三份的分析足以区分两者,而在显着性水平α为0.05的情况下,β小于0.01。通过对样本之间的45种可能的成对比较进行分析,发现100%的样本在统计上是可区分的,并且没有发生II型错误。进行盲测试,其中10个汽油样品中有2个为未知。发现一个未知数与原始源无法区分,并且确定一个未知数与原始源在统计上有所不同,构成了I型错误。本文未讨论蒸发对样品比较的影响。这项研究的结果表明,在法医案例研究中,一种物理上比较证据的统计学上可接受的方法。

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