The realm of statistical possibility

One escape, which is admittedly difficult given how deeply ingrained the logic of hypothesis testing is in the consiousness of scientists, is to acknowledge the uncertainty inherent in our estimates as communicated through confidence intervals. The fact that a confidence interval for an effect contains zero does not mean the effect is zero. It merely means that zero is in the realm of possibility, or that one cannot say with certainty what the direction of the effect is.

Andrew F. Hayes (2012) in the context of a discussion about mediational models

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