Dismantling the Mantel tests

Dismantling the Mantel tests
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DOI:
10.1111/2041-210x.12018
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发表时间:
2013-04-01
影响因子:
6.6
通讯作者:
Rousset, Francois
Rousset, Francois
中科院分区:
环境科学与生态学1区
文献类型:
--
作者:
Guillot, Gilles;Rousset, Francois

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简单和部分曼特尔测试通常用于进化生物学的许多领域,以评估两个或更多个距离矩阵之间相对于相同的个体对或德梅的关联的重要性。部分Mantel检验而不是简单的Mantel检验被广泛用于评估两个变量之间的关系,这些变量表现出某种形式的结构。我们表明,与普遍的信念相反,部分Mantel测试在这种情况下是无效的,它们的偏差仍然接近于简单的Mantel测试。我们确认,在抽样设计和从实际研究中得出的空间相关性参数下,预期会出现强烈的偏差。如果两个变量在零假设下的比较中怀疑自相关性,则不应使用Mantel检验。我们概述了替代战略。我们的计算机模拟使用的R代码是作为支持材料分发的。
The simple and partial Mantel tests are routinely used in many areas of evolutionary biology to assess the significance of the association between two or more matrices of distances relative to the same pairs of individuals or demes. Partial Mantel tests rather than simple Mantel tests are widely used to assess the relationship between two variables displaying some form of structure. We show that contrary to a widely shared belief, partial Mantel tests are not valid in this case, and their bias remains close to that of the simple Mantel test. We confirm that strong biases are expected under a sampling design and spatial correlation parameter drawn from an actual study. The Mantel tests should not be used in case autocorrelation is suspected in both variables compared under the null hypothesis. We outline alternative strategies. The R code used for our computer simulations is distributed as supporting material.