Abstract
In studies with one sample of binomial data (yes no data) the z-test is pretty much traditionally used for analysis.
Instead of a z-test also a Bayesian one sample binomial test is possible. A one sample z-test of a hypertension study provided a z-value of 5.5545 and a p-value < 0.001.
A Bayesian one sample binomial test provided less support in favor of the above z-test with a Bayes factor (BF) of only 1.0. Nonetheless, as BFs run from ∞ to 0.0 and p-values run from 1.0 to 0.0, the Bayesian and traditional statistics are very well compatible with one another.
The 95% confidence intervals of the Bayesian and traditional tests of
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[0.256–0.499], and
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[0.2327–0.4945]
were pretty similar, although the Bayesian interval was a bit wider. Therefore, some overfitting of the Bayesian statistics could not be ruled out.
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To readers requesting more background, theoretical and mathematical information of computations given, several textbooks complementary to the current production and written by the same authors are available.
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All of them have been written by the same authors, have been edited by Springer Heidelberg Germany.
Suggested Reading ,
To readers requesting more background, theoretical and mathematical information of computations given, several textbooks complementary to the current production and written by the same authors are available.
All of them have been written by the same authors, have been edited by Springer Heidelberg Germany.
Statistics applied to clinical studies 5th edition, 2012
Machine learning in medicine a complete overview, 2015
SPSS for starters and 2nd levelers 2nd edition, 2015
Clinical data analysis on a pocket calculator 2nd edition, 2016
Understanding clinical data analysis from published research, 2016
Modern meta-analysis, 2017
Regression Analysis in Clinical Research, 2018
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Cleophas, T.J., Zwinderman, A.H. (2018). Bayesian Tests for One Sample Binary Data. In: Modern Bayesian Statistics in Clinical Research . Springer, Cham. https://doi.org/10.1007/978-3-319-92747-3_4
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DOI: https://doi.org/10.1007/978-3-319-92747-3_4
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