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Bayesian inference is a method of statistical inference that relies on treating the model parameters as random variables and applying Bayes' theorem to deduce subjective probability statements about the parameters or hypotheses, conditional on the observed dataset.

0 votes
1 answer
22 views

Is a Bayesian framework more in keeping with neurobiologic processes? [closed]

In keeping with these neurobiologic premises and the evident assumption that every human thought, hypothesis and theory must first exist as a specific connection between neurons, is a Bayesian statistical …
Giuseppe Biondi-Zoccai's user avatar
2 votes
Accepted

What is the difference between a Frequentist approach with meta-analysis and a Bayesian appr...

that inference from the non-Bayesian approaches might be optimistic. … Finally, Bayesian analysis forces you to explicitly acknowledge your assumptions. Anyway, I would caution against a meta-analysis in which Bayesian and frequentist approaches are quite conflicting. …
Giuseppe Biondi-Zoccai's user avatar
7 votes
2 answers
875 views

Is the frequentist framework more appropriate than the Bayesian one, according to Popper's t...

In keeping with these theoretical premises, which statistical framework is more appropriate, the frequentist or the Bayesian? …
Giuseppe Biondi-Zoccai's user avatar
3 votes

Specifying prior for effect size in meta-analysis

As very rarely are effects this large, is this prior justifiable? I think your priors are OK, as long as you can defend them with extra-statistical arguments (e.g by looking at established works …
Giuseppe Biondi-Zoccai's user avatar
2 votes

ASA discusses limitations of $p$-values - what are the alternatives?

My choice would be to continue using p values, but simply adding confidence/credible intervals, and possibly for the primary outcomes prediction intervals. There is a very nice book by Douglas Altman …
Giuseppe Biondi-Zoccai's user avatar
7 votes
3 answers
37k views

Upper case (P) or lower case (p) to denote p-values and probabilities in frequentist and Bay...

Should I use upper case (capital) $P$ or lower case $p$ to denote $P$/$p$-values and Bayesian probabilities? "p" for both frequentist and Bayesian analyses? … "P" for both frequentist and Bayesian analyses? "p" for frequentist analyses and "P" for Bayesian analyses? or "P" for frequentist analyses and "p" for Bayesian analyses? …
Giuseppe Biondi-Zoccai's user avatar
1 vote
2 answers
303 views

Network meta-analysis of correlation coefficients: a logical paradox?

A colleague of mine wishes to conduct a network meta-analysis of correlation coefficients for a set of imaging tests (eg ultrasound, computed tomography, magnetic resonance imaging, and so forth). H …
Giuseppe Biondi-Zoccai's user avatar
34 votes
8 answers
4k views

Should I teach Bayesian or frequentist statistics first?

Before beginning, though, I have a particular question with very general implications: Should we begin teaching statistics using a Bayesian or frequentist framework? … Researching around I have seen that a common approach is beginning with a brief introduction on frequentist statistics followed by an in depth discussion of Bayesian statistics (e.g. Stangl). …
Giuseppe Biondi-Zoccai's user avatar