Department of Methodology for Behavioural Sciences, Faculty of Psychology, University of Barcelona, Spain.
Br J Math Stat Psychol. 2010 Feb;63(Pt 1):139-61. doi: 10.1348/000711009X426253. Epub 2009 May 29.
The directional consistency and skew-symmetry statistics have been proposed as global measure of social reciprocity. Although both measures can be useful for quantifying social reciprocity, researchers need to know whether these estimators are biased in order properly to assess descriptive results. That is, if estimators are biased, researchers should compare actual values with expected values under the specified null hypothesis. Furthermore, standard errors are needed to enable suitable assessment of discrepancies between actual and expected values. This paper aims to derive some exact and approximate expressions in order to obtain bias and standard error values for both estimators for round-robin designs, although the results can also be extended to other reciprocal designs.
方向性一致性和斜对称性统计数据已被提议作为社会互惠的全局度量。尽管这两种度量都可用于量化社会互惠，但研究人员需要知道这些估计值是否存在偏差，以便正确评估描述性结果。也就是说，如果估计值存在偏差，研究人员应该在指定的零假设下将实际值与预期值进行比较。此外，还需要标准误差来适当评估实际值与预期值之间的差异。本文旨在推导出一些精确和近似的表达式，以获得轮询设计中这两个估计值的偏差和标准误差值，尽管结果也可以扩展到其他互惠设计。
