伊辛模型的三种表示
Three representations of the Ising model
摘要：
分析变量之间（成对）关系的统计模型包含关于在观察数据中产生关联的潜在机制的假设。在本文中，我们证明了三个伊辛模型表示存在，虽然每个提出了一个不同的理论解释所观察到的协会，在数学上是等价的。这种等价性允许研究人员以三种不同的方式解释一个模型的结果。我们通过讨论那些在传统解释中被认为是有问题的概念来说明这一点的后果，然而，当在另一种解释的背景下解释时，这些概念就立即有了意义。
英文摘要：
Statistical models that analyse (pairwise) relations between variables encompass assumptions about the underlying mechanism that generated the associations in the observed data. In the present paper we demonstrate that three Ising model representations exist that, although each proposes a distinct theoretical explanation for the observed associations, are mathematically equivalent. This equivalence allows the researcher to interpret the results of one model in three different ways. We illustrate the ramifications of this by discussing concepts that are conceived as problematic in their traditional explanation, yet when interpreted in the context of another explanation make immediate sense.
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