2019
DOI: 10.31235/osf.io/yazr8
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Can p-values be meaningfully interpreted without random sampling?

Abstract: Besides the inferential errors that abound in the interpretation of p-values, the probabilistic pre-conditions (i.e. random sampling or equivalent) for using them at all are not often met by observa-tional studies in the social sciences. This paper systematizes different sampling designs and discusses the restrictive requirements of data collection that are the sine-qua-non for using p-values.

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Cited by 8 publications
(10 citation statements)
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“…A fundamental objection against statistical inference is raised by Hirschauer et al (2020) in case of full population surveys. They argue that displaying p-values does not make sense, because there is nothing to infer, and sampling error does not exist.…”
Section: Erroneous Applications Of Significance Testsmentioning
confidence: 99%
“…A fundamental objection against statistical inference is raised by Hirschauer et al (2020) in case of full population surveys. They argue that displaying p-values does not make sense, because there is nothing to infer, and sampling error does not exist.…”
Section: Erroneous Applications Of Significance Testsmentioning
confidence: 99%
“…It is a means to the end of evaluating a single study's knowledge contribution given the uncertainty (noise) caused by random sampling error (note that I do not talk here about randomised controlled trials). Therefore, statistical inference requires the sample under study to be a random sample 8 . Or more pointedly: statistical assumptions are empirical commitments and acting as if one obtained data through random sampling does not create a random sample 9 …”
Section: Question 2: Making Inferencesmentioning
confidence: 99%
“…They are devoid of inferential meaning (except when deviations from random sampling are adequately corrected within a sample selection model). 2 More generally speaking, all statistical inferential procedures based on the standard error -including statistical significance tests -are inappropriate for making sample-to-population inferences when studies are based on non-random samples.…”
Section: Statistics Are Sample Quantitiesmentioning
confidence: 99%