In particle physics, significance is set at 5 sigma—a p value of 3 × 10–7 or 1 in 3·5 million (if the result is not true, this is the probability that the data would have been as extreme as they are).
Compare that with educational research: we typically set it at 1.96 sigma. Imagine how many studies would never be published if we raised the threshold.
How to describe your p>.05 results
The solution is to apply the time-honoured tactic of circumlocution to disguise the non-significant result as something more interesting. The following list is culled from peer-reviewed journal articles in which (a) the authors set themselves the threshold of 0.05 for significance, (b) failed to achieve that threshold value for p and (c) described it in such a way as to make it seem more...
Psychology journal bans null hypothesis testing
Prior to publication, authors will have to remove all p-values, t-statistics, F-statistics, etc.!
If this continues, I will be out of a job.