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Thomas Debray
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Revise vignette
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vignettes/intropkg.Rmd

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## Testing multiple primary endpoints
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When a trial aims to evaluate equivalence for at least $k$ out of $m$ primary endpoints, adjustment for the increased probability of a Type I error due to multiple hypothesis testing is required. For example, with $m=3$ independent primary endpoints and a significance level of $\alpha = 5\%$, the probability of making a Type I error on at least one hypothesis test is:
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When a trial aims to evaluate equivalence for at least $k$ primary endpoints, adjustment for the increased probability of a Type I error due to multiple hypothesis testing is required [@sozu_continuous_2015]. For example, with $m=3$ independent primary endpoints and a significance level of $\alpha = 5\%$, the probability of making a Type I error on at least one hypothesis test is:
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$$ 1 – (1-\alpha)^m = 1 - (1-0.05)^3 = 0.1426. $$
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This means that the overall probability of making any false positive error, also known as the **family-wise error rate (FWER)**, increases to approximately 14%.

vignettes/references.bib

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isbn = {978-3-319-22004-8 978-3-319-22005-5}
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}
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@inbook{sozu_continuous_2015,
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title = {Continuous Primary Endpoints},
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booktitle = {Sample Size Determination in Clinical Trials with Multiple Endpoints},
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author = {Sozu, Takashi and Sugimoto, Tomoyuki and Hamasaki, Toshimitsu and Evans, Scott R.},
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year = {2015},
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pages = {59--68},
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publisher = {Springer International Publishing},
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address = {Cham},
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doi = {10.1007/978-3-319-22005-5_5},
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urldate = {2025-02-10},
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isbn = {978-3-319-22004-8, 978-3-319-22005-5},
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langid = {english}
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}
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@incollection{PASSch351,
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title = {Bioequivalence Tests for AUC and Cmax in a 2x2 Cross-Over Design (Log-Normal Data)},
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author = {{NCSS}},

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