Can -values be meaningfully interpreted without random sampling?

N Hirschauer, S Grüner, O Mußhoff, C Becker… - 2020 - projecteuclid.org
2020projecteuclid.org
Besides the inferential errors that abound in the interpretation of p-values, the probabilistic
pre-conditions (ie random sampling or equivalent) for using them at all are not often met by
observational studies in the social sciences. This paper systematizes different sampling
designs and discusses the restrictive requirements of data collection that are the
indispensable prerequisite for using p-values.
Abstract
Besides the inferential errors that abound in the interpretation of -values, the probabilistic pre-conditions (i.e. random sampling or equivalent) for using them at all are not often met by observational studies in the social sciences. This paper systematizes different sampling designs and discusses the restrictive requirements of data collection that are the indispensable prerequisite for using -values.
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