2019
DOI: 10.1080/00031305.2019.1565553
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Multiple Perspectives on Inference for Two Simple Statistical Scenarios

Abstract: When data analysts operate within different statistical frameworks (e.g., frequentist versus Bayesian, emphasis on estimation versus emphasis on testing), how does this impact the qualitative conclusions that are drawn for real data? To study this question empirically we selected from the literature two simple scenarios-involving a comparison of two proportions and a Pearson correlation-and asked four teams of statisticians to provide a concise analysis and a qualitative interpretation of the outcome. The resu… Show more

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Cited by 37 publications
(29 citation statements)
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References 19 publications
(14 reference statements)
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“…In a recent study in the gerontology literature in which four null effects were evaluated with equivalence tests or Bayes factors ( Lakens, McLatchie, Isager, Scheel, & Dienes, 2020 ), both approaches led to similar inferences in each example. Likewise, four teams of researchers using frequentist or Bayesian hypothesis testing or estimation independently reached similar conclusions when reanalyzing two studies ( Dongen et al, 2019 ). Although one can always find exceptions if one searches long enough, in most cases Bayes factors and p values will strongly agree ( Tendeiro & Kiers, 2019 ).…”
Section: Why Would Alternatives To P Values Fare Any Better?mentioning
confidence: 77%
“…In a recent study in the gerontology literature in which four null effects were evaluated with equivalence tests or Bayes factors ( Lakens, McLatchie, Isager, Scheel, & Dienes, 2020 ), both approaches led to similar inferences in each example. Likewise, four teams of researchers using frequentist or Bayesian hypothesis testing or estimation independently reached similar conclusions when reanalyzing two studies ( Dongen et al, 2019 ). Although one can always find exceptions if one searches long enough, in most cases Bayes factors and p values will strongly agree ( Tendeiro & Kiers, 2019 ).…”
Section: Why Would Alternatives To P Values Fare Any Better?mentioning
confidence: 77%
“…Within hypothesis generating research we primarily reveal what might be important, while within hypothesis testing research we focus on specifically excluding competing hypotheses. Within hypothesis generating research, since we are often exploring what the data reveals, it can be useful to consider and contrast the outcome from different methodologies to see what is found consistently to be significant (25). However, researchers will often only report the outcome of a single test.…”
Section: Introductionmentioning
confidence: 99%
“…Evidence from P values and Bayes factors can be interpreted jointly, 16 and may point in the same direction, 17 so we are advocating for the increased consideration of the Bayesian framework in our statistical toolbox.…”
Section: The Bayesian Framework Explainedmentioning
confidence: 99%