Evidence map›Paper›PMID 42544121›Full record

ArticleTest (Madrid, Spain)2026

Analytic posterior distribution and bayes factor for pearson partial correlations.

Šimon Kucharský, Eric-Jan Wagenmakers, Don van den Bergh, Alexander Ly

Abstract read
In one paragraph

Article in Test (Madrid, Spain), 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Šimon KucharskýDepartment of Psychology, University of Amsterdam, Amsterdam, The Netherlands.ORCID 0000-0003-4192-1140
Eric-Jan WagenmakersDepartment of Psychology, University of Amsterdam, Amsterdam, The Netherlands.ORCID 0000-0003-1596-1034
Don van den BerghDepartment of Psychology, University of Amsterdam, Amsterdam, The Netherlands.ORCID 0000-0002-9838-7308
Alexander LyDepartment of Psychology, University of Amsterdam, Amsterdam, The Netherlands.ORCID 0000-0003-3925-3833

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

This article outlines a novel Bayesian approach to the testing and estimation of Pearson partial correlations. By generalizing a Bayesian inference procedure for Pearson's correlation coefficient, we obtain analytic expressions for the Bayes factor and for the (marginal) posterior distribution of a partial correlation coefficient. Full Bayesian inference can be achieved using only the sample size, the number of controlling variables and the relevant summary statistics, that is, the sample partial correlation. The present approach is illustrated with two empirical examples.

Indexed as

Bayes factorPartial correlationPosterior distribution

Identifiers

PMID42544121
PMCPMC13427854

What OpenQuestion holds

Textmetadata
LicenceCC BY
Read underepoch 390

Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.