Mulder Joris, Gelissen John P T M
Tilburg University, Tilburg, Netherlands.
Jheronimus Academy of Data Science's, Hertogenbosch, Netherlands.
J Appl Stat. 2021 Oct 27;50(2):315-351. doi: 10.1080/02664763.2021.1992360. eCollection 2023.
Measures of association play a central role in the social sciences to quantify the strength of a linear relationship between the variables of interest. In many applications researchers can translate scientific expectations to hypotheses with equality and/or order constraints on these measures of association. In this paper a Bayes factor test is proposed for testing multiple hypotheses with constraints on the measures of association between ordinal and/or continuous variables, possibly after correcting for certain covariates. This test can be used to obtain a direct answer to the research question how much evidence there is in the data for a social science theory relative to competing theories. The stand-alone software package 'BCT' allows users to apply the methodology in an easy manner. The methodology will also be available in the R package 'BFpack'. An empirical application from leisure studies about the associations between life, leisure and relationship satisfaction and an application about the differences about egalitarian justice beliefs across countries are used to illustrate the methodology.
关联度量在社会科学中起着核心作用，用于量化感兴趣变量之间线性关系的强度。在许多应用中，研究人员可以将科学预期转化为对这些关联度量具有等式和/或顺序约束的假设。本文提出了一种贝叶斯因子检验，用于检验关于有序和/或连续变量之间关联度量的多个假设，可能在对某些协变量进行校正之后。该检验可用于直接回答研究问题：相对于竞争理论，数据中支持社会科学理论的证据有多少。独立软件包“BCT”允许用户轻松应用该方法。该方法也将在R包“BFpack”中提供。来自休闲研究的一个关于生活、休闲和关系满意度之间关联的实证应用，以及一个关于不同国家平等主义正义信念差异的应用，用于说明该方法。
