Proceedings of the National Academy of Sciences · 2020 · 61 citations · 54 references
Public HealthBiostatisticsExperimental DesignNature Of ScienceStatisticsEffect Size EstimationEmpirical EvidenceHypothesis TestingScientific EvidenceStatistical InferenceEffect SizeEffect Size InterpretationExperimental ReplicabilityNull HypothesisReplicability CrisisReplication CrisisReplication Study DesignStatistical Significance Testing
The replication crisis and its reforms assume science is a binary signal‑detection problem, yet effect sizes are better viewed as continuous draws rather than dichotomous null/alternative outcomes. The authors propose that original science functions as a screening process, treating NHST as a useful fiction to flag true, potentially large effects for further study. Replication science measures underlying effect sizes through large‑N direct replications, often via registered reports, while conceptual replications validate theories but do not serve as the field’s self‑correction mechanism. Because P < 0.05 selections inflate effect sizes, replication studies reveal that most such findings are true but overestimated, and only direct replications can correct this bias.
The perceived replication crisis and the reforms designed to address it are grounded in the notion that science is a binary signal detection problem. However, contrary to null hypothesis significance testing (NHST) logic, the magnitude of the underlying effect size for a given experiment is best conceptualized as a random draw from a continuous distribution, not as a random draw from a dichotomous distribution (null vs. alternative). Moreover, because continuously distributed effects selected using a P < 0.05 filter must be inflated, the fact that they are smaller when replicated (reflecting regression to the mean) is no reason to sound the alarm. Considered from this perspective, recent replication efforts suggest that most published P < 0.05 scientific findings are “true” (i.e., in the correct direction), with observed effect sizes that are inflated to varying degrees. We propose that original science is a screening process, one that adopts NHST logic as a useful fiction for selecting true effects that are potentially large enough to be of interest to other scientists. Unlike original science, replication science seeks to precisely measure the underlying effect size associated with an experimental protocol via large- N direct replication, without regard for statistical significance. Registered reports are well suited to (often resource-intensive) direct replications, which should focus on influential findings and be published regardless of outcome. Conceptual replications play an important but separate role in validating theories. However, because they are part of NHST-based original science, conceptual replications cannot serve as the field’s self-correction mechanism. Only direct replications can do that.
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