2020
DOI: 10.31236/osf.io/pn9s3
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Magnitude Based Inference in Relation to One-sided Hypotheses Testing Procedures

Abstract: Magnitude based inference (MBI) is a statistical procedure that successfully introduced researchers to statistical tools other than null hypothesis significance tests. However, it has been criticised for mixing Bayesian and frequentist thinking and for encouraging researchers to run small studies with high Type 1 error rates. We formally describe MBI as a decision procedure that combines one-sided hypotheses tested at multiple alpha levels. The hypotheses concern the presence or absence of meaningful effects. … Show more

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Cited by 18 publications
(23 citation statements)
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“…For example, MBI uses the same underlying hypothesis tests as minimal effect testing and equivalence testing/non-inferiority testing [67]. Thus, MBI practitioners could use these procedures instead [68]. Furthermore, sports scientists should understand that-when used correctly-p-values are valid tools of inference [69].…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…For example, MBI uses the same underlying hypothesis tests as minimal effect testing and equivalence testing/non-inferiority testing [67]. Thus, MBI practitioners could use these procedures instead [68]. Furthermore, sports scientists should understand that-when used correctly-p-values are valid tools of inference [69].…”
Section: Discussionmentioning
confidence: 99%
“…Similarly, the benefit/positive probability is the p-value associated with the null hypothesis of benefit (H o : effect size �δ b ); and subtracting this value from 1 gives the p-value associated with the null hypothesis of no benefit (H o : effect size �δ b ). One may use these p-values to perform equivalence testing and/or minimal effects testing [67,68]. We give a specific example of how this would be done in Table 4 using a study on foam rolling [30].…”
Section: Discussionmentioning
confidence: 99%
“…gives the p-value associated with the null hypothesis of no benefit (H o : effect size ≤δ b ). One may use these p-values to perform equivalence testing and/or minimal effects testing [67,68]. We give a specific example of how this would be done in Table 4 using a study on foam rolling [30].…”
Section: Discussionmentioning
confidence: 99%
“…For example, MBI uses the same underlying hypothesis tests as minimal effect testing and equivalence testing/non-inferiority testing[67]. Thus, MBI practitioners could use these procedures instead[68]. Furthermore, sports scientists should understand that-when used correctlyp-values are valid tools of inference[69].…”
mentioning
confidence: 99%
“…We applied a minimum effect test (MET) [21] to provide a practical, probabilistic interpretation of the difference in HRex between the recovered and strained states. The MET aims to combine the strength of drawing inferences from the data in relation to meaningful effect sizes with a formal statistical foundation grounded in frequentist approaches to inferences [22]. The MET was performed as part of the MIXED procedure in SAS ® Software, using -1% as the threshold for practical importance.…”
Section: The First Part Of Our Analysis Was Performed Inmentioning
confidence: 99%