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Replication isn't enough. It's also necessary to know how many non-replications have occurred but got swept under the rug. It's not the existence of replications that matter---it's the rate of replication relative to number of replication attempts.

So I agree with the title "We Should Not Accept Scientific Results That Have Not Been Repeated". But I would add to it "We Should Not Accept Scientific Results from Studies That Weren't Preregistered". Registration of studies forces negative results to be made public, allowing for the positive result rate / replication rate to be calculated.

Otherwise the existence of a "positive" result is more a function of the trendiness of a research area than it is of the properties of the underlying system being studied.

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