Evidence map›Paper›PMID 41554897›Full record

ArticleScientific reports2026

Uncertainty and inconsistency of COVID-19 non-pharmaceutical intervention effects with multiple competitive statistical models.

Bernhard Müller, Inken Padberg, Michael Lorke, Ralph Brinks, Sally Cripps, M Gabriela M Gomes, Daniel Haake, John P A Ioannidis

Abstract read
In one paragraph

Article in Scientific reports, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing 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

0 citing papers in PubMed.

No citing paper in PubMed yet.

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

8 authors.

Bernhard MüllerSchool of Physics and Astronomy, Monash University, Clayton, VIC, 3800, Australia. bernhard.mueller@monash.edu.
Inken PadbergEpidemiology Unit, German Rheumatism Research Centre (DRFZ), Charitéplatz 1, 10117, Berlin, Germany.
Michael LorkeFaculty of Physics, University of Duisburg-Essen, Duisburg, 47057, Germany.
Ralph BrinksChair for Medical Biometry and Epidemiology, Witten/Herdecke University, Faculty of Health/School of Medicine, D-58448, Witten, Germany.
Sally CrippsHuman Technology Institute (HTI), University of Technology Sydney, Sydney, NSW, Australia.
M Gabriela M GomesDepartment of Mathematics and Statistics, University of Strathclyde, Glasgow, UK.
Daniel HaakeIndependent Researcher, Potsdam, D-14469, Germany.
John P A IoannidisDepartments of Medicine, of Epidemiology and Population Health, and of Biomedical Data Science, and Meta-Research Innovation Center at Stanford (METRICS), Stanford University, 3180 Porter Dr, Room A129, Stanford Research Park, Palo Alto, CA, 94304, USA.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Quantifying the effect of non-pharmaceutical interventions (NPIs) is essential for formulating lessons from the COVID-19 pandemic. To enable a more reliable and rigorous evaluation of NPIs based on time series data, we reanalyse the official evaluation of NPIs in Germany. As the first part of a multi-step validation and verification project, we focus on properly analysing statistical uncertainties for time series data. Using a set of 9 competitive statistical methods for estimating the effects of NPIs and other determinants of disease spread on the effective reproduction number [Formula: see text], we find significantly wider confidence intervals than the official evaluation. In addition to vaccination and seasonality, only few NPIs – such as restrictions in public spaces – can be confidently associated with variations in [Formula: see text], but even then effect sizes have large uncertainties. Furthermore, due to multicollinearity in NPI activation patterns, it is difficult to distinguish potential effects of NPIs in public spaces from other interventions that came into force early, such as physical distancing. In future, NPIs should be more carefully designed and accompanied by plans for data collections to allow for a timely evaluation of benefits and harms as a basis for an effective and proportionate response.

Indexed as

COVID-19Models, StatisticalPandemicsGermanyHumansSARS-CoV-2Uncertainty

Identifiers

PMID41554897
PMCPMC12894682

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Registered trials

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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.