Axiomathes ( IF 0.5 ) Pub Date : 2021-03-18 , DOI: 10.1007/s10516-021-09541-y Adam P. Kubiak , Paweł Kawalec , Adam Kiersztyn
We show that if among the tested hypotheses the number of true hypotheses is not equal to the number of false hypotheses, then Neyman-Pearson theory of testing hypotheses does not warrant minimal epistemic reliability (the feature of driving to true conclusions more often than to false ones). We also argue that N-P does not protect from the possible negative effects of the pragmatic value-laden unequal setting of error probabilities on N-P’s epistemic reliability. Most importantly, we argue that in the case of a negative impact no methodological adjustment is available to neutralize it, so in such cases the discussed pragmatic-value-ladenness of N-P inevitably compromises the goal of attaining truth.
中文翻译:
Neyman-Pearson假设检验,认知可靠性和实用价值承载的非对称错误风险
我们表明,如果在检验的假设中真实假设的数量不等于错误假设的数量,那么检验假设的内曼-皮尔森理论就不能保证最小的认识论可靠性(更倾向于得出正确结论而不是得出错误结论的特征)那些)。我们还认为,NP不能避免实用价值不均的错误概率设置对N-P的认知可靠性可能产生的负面影响。最重要的是,我们认为,在产生负面影响的情况下,无法进行任何方法上的调整来抵消它,因此在这种情况下,所讨论的NP的实用价值负载不可避免地会损害实现真理的目标。