Bayesian t tests for accepting and rejecting the null hypothesis
Bayesian t tests for accepting and rejecting the null hypothesis
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DOI：
10.3758/pbr.16.2.225
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发表时间：
2009-04-01
影响因子：
3.5
通讯作者：
Iverson, Geoffrey
中科院分区：
文献类型：
--
作者：
Rouder, Jeffrey N.;Speckman, Paul L.;Iverson, Geoffrey
科学的进步往往来自于发现变量之间关系的不变性;这些不变性往往对应于零假设。众所周知，在传统的显著性检验中，不可能为零假设提供证据。在这里，我们强调一个贝叶斯因子替代传统的t检验，将允许研究人员表达偏好的零假设或替代。贝叶斯因子具有自然和直接的解释，基于合理的假设，并且具有比心理学文献中提倡的其他推理方法更好的属性。为了方便使用贝叶斯因子，我们提供了一个易于使用的基于Web的程序，可以执行必要的计算。
Progress in science often comes from discovering invariances in relationships among variables; these invariances often correspond to null hypotheses. As is commonly known, it is not possible to state evidence for the null hypothesis in conventional significance testing. Here we highlight a Bayes factor alternative to the conventional t test that will allow researchers to express preference for either the null hypothesis or the alternative. The Bayes factor has a natural and straightforward interpretation, is based on reasonable assumptions, and has better properties than other methods of inference that have been advocated in the psychological literature. To facilitate use of the Bayes factor, we provide an easy-to-use, Web-based program that performs the necessary calculations.