Perhaps the scientists who ran these studies thought something like: ‘well, it was only a small study, and the small effect I found is probably just due to noisy data. Come to think of it, I was silly even to expect to find an effect here! There’s no point in trying to publish this.’ Crucially, though, this post hoc rationalisation wouldn’t have occurred to them if the same small-sample study, with its potentially noisy data, happened to show a large effect: they’d have eagerly sent off their positive results to a journal. This double standard, based on the entrenched human tendency towards
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