A parametric approach to kinship hypothesis testing using identity-by-descent parameters

A parametric approach to kinship hypothesis testing using identity-by-descent parameters
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DOI:
10.1515/sagmb-2014-0080
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发表时间:
2015-11-01
影响因子:
0.9
通讯作者:
Salas, Antonio
Salas, Antonio
中科院分区:
数学4区
文献类型:
--
作者:
Garcia-Magarinos, Manuel;Egeland, Thore;Salas, Antonio

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有大量的应用需要从DNA数据中确定家庭关系。在法医学中,相互竞争的观点通常被口头表述为测试的两个假设。对于最常见的亲子鉴定案例,零假设表明所谓的父亲是真正的父亲,而备择假设表明父亲是一个无关的人。我们提出了一个替代框架,模型和假设制定的参数表示身份下降概率。这种方法有几个优点。首先,备择假设可以是完全一般的。具体地说,替代方案不需要指定一个无关的人。其次,参数公式对应于大多数其他应用中使用的统计假设检验的方法,因此有一个大的经典统计理论可以应用。研究了原假设下检验统计量的理论性质。已将其扩大到个人三人组。举例说明使用模拟和真实的数据集的27个西班牙罗姆人的方法。
There is a large number of applications where family relationships need to be determined from DNA data. In forensic science, competing ideas are in general verbally formulated as the two hypotheses of a test. For the most common paternity case, the null hypothesis states that the alleged father is the true father against the alternative hypothesis that the father is an unrelated man. A likelihood ratio is calculated to summarize the evidence. We propose an alternative framework whereby a model and the hypotheses are formulated in terms of parameters representing identity-by-descent probabilities. There are several advantages to this approach. Firstly, the alternative hypothesis can be completely general. Specifically, the alternative does not need to specify an unrelated man. Secondly, the parametric formulation corresponds to the approach used in most other applications of statistical hypothesis testing and so there is a large theory of classical statistics that can be applied. Theoretical properties of the test statistic under the null hypothesis are studied. An extension to trios of individuals has been carried out. The methods are exemplified using simulations and a real dataset of 27 Spanish Romani individuals.