Abstract
In studies with two continuous variables usually named the x-values and y-values a linear relation between the two variables can be assessed with the help of the Pearson correlation coefficient R. R is a measure of strength of association, and varies from −1 to +1. Instead of a traditional Pearson correlation analysis a Bayesian analysis of linear correlation is possible.
A traditional analysis of Pearson linear correlation analysis provided an r-value of 0.483 with an F statistic of 10047, p-value 0.003. A Bayesian Analysis of Pearson linear correlation provided support in favor of the traditional test with a Bayes factor of 0.105.
The maximum of the posterior likelihood distribution was 0.478 with 95% credible interval
This was less wide than the 95% confidence interval of the traditional Pearson linear correlation which was
Thus, the Bayesian analysis provided slightly better statistics than did the traditional Pearson correlation analysis.
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Notes
- 1.
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.
- 2.
All of them have been written by the same authors, and they 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, and they 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 Pearson Correlation Analysis. In: Modern Bayesian Statistics in Clinical Research . Springer, Cham. https://doi.org/10.1007/978-3-319-92747-3_11
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DOI: https://doi.org/10.1007/978-3-319-92747-3_11
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