Statistical power

Definition: Definition : Statistical power is the long-run p robability that a statistical test correctly rejects the null hypothesis if the alternative hypothesis is tru e. It ranges from 0 to 1, but is often expressed as a percentage. Power can be estimated using the significance criterion (alpha), effect size, and sample size used for a specific analysis technique. There are two main applications of statistical power. A priori power where the researcher asks the question “given an effect size, how many participants would I need for X% power?”. Sensitiv ity power asks the question “given a known sample size, what effect size could I detect with X% power?” .

Related terms: Effect Size, Meta-analysis, Null Hypothesis Significance Testing (NHST), Power Analysis, Positive Predictive Value, Quantitative research, Sample size, Significance criterion (alpha), Type I error, Type II error Related terms to alternative definition: Type II Error Related terms to alternative definition: Type II Error

Reference: Carter et al. (2021); Cohen (1962); Cohen ( 1988); Dienes (2008); Giner-Sorolla et al. (2019); Ioannidis (2005); Lakens ( 2021 a )

Drafted and Reviewed by: Thomas Rhys Evans, James E. Bartlett, Jamie P. Cockcroft, Adrien Fillon, Emma Henderson, Tamara Kalandadze, William Ngiam, Catia M. Oliveira, Charlotte R. Pennington, Graham Reid, Martin Vasilev, Qinyu Xiao , FlĂĄvio Azevedo

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