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- Use odds of a correct rejection of the null hypothesis to incorrect rejection. Pre-experimentally, these odds are the power divided by the Type I error. Post-experimentally, these odds are the Bayes factor. The Bayes factor is shown to be a fully frequentist measure of evidence.
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What are the odds of a correct rejection of the null hypothesis?
What are pre-experimental rejection odds?
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Use odds of a correct rejection of the null hypothesis to incorrect rejection. Pre-experimentally, these odds are the power divided by the Type I error. Post-experimentally, these odds are the Bayes factor. The Bayes factor is shown to be a fully frequentist measure of evidence.
Jun 1, 2016 · We want to know: if we run the experiment, what are the odds of correct rejection of the null hypothesis to incorrect rejection? We call this quantity the ‘pre-experimental rejection odds’ (sometimes dropping the word ‘rejection’ for brevity).
- M.J. Bayarri, Daniel J. Benjamin, James O. Berger, Thomas M. Sellke
- 2016
Reporting of the rejection odds, Rpre, recognizes the crucial role of power in understanding the strength of evidence in rejecting, and does so in a simple way (reducing the evidence to a single number).
rejection odds • Review of why Bayesian hypothesis testing and the common usage of p-values are incompatible. • Review of why Bayesian hypothesis testing and fixed error probability frequentist testing are incompatible.
We propose, as an alternative, the use of the odds of a correct rejection of the null hypothesis to incorrect rejection. Both pre-experimental versions (involving the power and Type I error) and post-experimental versions (depending on the actual data) are considered.
Dec 28, 2015 · We propose, as an alternative, the use of the odds of a correct rejection of the null hypothesis to incorrect rejection.
Jan 13, 2016 · We propose, as an alternative, the use of the odds of a correct rejection of the null hypothesis to incorrect rejection. Both pre-experimental versions (involving the power and Type I error) and post-experimental versions (depending on the actual data) are considered.
