Barely Significant

A field guide to the near-miss p-value

Ways to say not significant without saying not significant.

When a p-value lands just past 0.05, the result does not change but the prose does. This is a catalogue of that prose: 50 distinct phrases, found and quoted in 5,781 open-access papers, each one shown in the sentence its authors actually published.

5,968
sentences quoted
from 5,781 papers
50
distinct phrasings
46 confirmed specimens
0.055
median reported p-value
1.1× alpha
1,689
journals
1854–2026

One at random

another →

The wall at 0.05

Every reported p-value in the corpus, in bins of 0.01. Nothing about the statistics changes as the line is crossed. Everything about the writing does.

How the corpus lands

actually significant · 7.5%so close (0.05–0.1) · 16.9%not close (p > 0.1) · 2.2%not a probability · 0.5%no p reported · 72.9%

Most-used phrasings

all phrases →
PhraseSentencesMedian pWorst offender
quite significant1,4800.0580.130
only marginally significant9500.0630.490
nearly significant7770.0590.890
moderately significant6700.0101.000
might be significant5700.0800.250
slightly significant5320.0470.353
might not be significant1800.0650.065
not quite significant1110.0600.130
more or less significant930.0060.006
not yet significant880.0930.142