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Research Integrity: Publication Bias and p-Hacking Funnel Plot (2D)

An interactive 2D funnel plot illuminates how publication bias and p-hacking distort the scientific record.

mysimulator teamUpdated June 2026≈ 3 min read▶ Open the simulation

What is Publication Bias?

Publication bias refers to the phenomenon where studies with significant or positive results are more likely to be published than those with negative or null results. This can lead to an overestimation of effect sizes and a distorted scientific record.

The funnel plot, a graphical tool used in meta-analysis, helps visualize publication bias by plotting study effects against their precision (usually the inverse of standard error). A symmetrical funnel indicates no publication bias; asymmetry suggests it.

Understanding p-Hacking

p-Hacking involves manipulating data or statistical analyses to achieve a desired outcome, often by conducting multiple tests and only reporting those that yield significant results. This can lead to false positives and an inflated effect size in the literature.

In the context of the funnel plot simulation, p-hacking is represented as researchers altering their analysis methods until they obtain a statistically significant result, leading to an imbalance in the distribution of study effects.

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The Impact on Research Outcomes

Low statistical power and selective publishing can lead to a file drawer effect, where many studies with non-significant results remain unpublished. This skews the overall body of research, making it appear more robust than it actually is.

Effect-size inflation occurs when significant findings are exaggerated due to publication bias and p-hacking, leading to an overestimation of true effects in the scientific literature.

Replication Rates and True Hypotheses

The replication rate is a measure of how often studies that initially show significant results can be replicated. In the presence of publication bias and p-hacking, this rate tends to drop significantly, as many published findings are likely false positives.

True hypotheses represent the proportion of tested hypotheses in reality that are actually true. The funnel plot simulation allows you to explore how different factors affect the visibility of these true hypotheses.

Frequently asked questions

What is a funnel plot and why is it important?

A funnel plot is a graphical tool used in meta-analysis to assess publication bias. It helps researchers visualize whether studies with larger sample sizes (more precise estimates) are more likely to be published, which can indicate the presence of bias.

How does p-hacking affect research outcomes?

p-Hacking leads to an increase in false positive results and overestimation of effect sizes. This can result in a distorted scientific record where many significant findings are not reproducible, leading to unreliable conclusions.

What is the file drawer effect and how does it impact research?

The file drawer effect refers to the tendency for studies with non-significant results to remain unpublished. This can lead to a skewed representation of true effects in the literature, as only significant findings are reported.

How can researchers mitigate publication bias and p-hacking?

Researchers can mitigate these issues by preregistering studies, conducting transparent analyses, and publishing all results, including non-significant ones. Additionally, using robust statistical methods and increasing the sample size can help reduce the impact of low power.

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Everything above runs in your browser — open Research Integrity: Publication Bias and p-Hacking Funnel Plot (2D) and change the parameters while it is running. Nothing is installed, nothing is uploaded, the whole model lives in one tab.

▶ Open Research Integrity: Publication Bias and p-Hacking Funnel Plot (2D) simulation

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