What the reference describes.
A statistical hypothesis test is a method of statistical inference used to decide whether the data provides sufficient evidence to reject a particular hypothesis. A statistical hypothesis test typically involves a calculation of a test statistic. Then a decision is made, either by comparing the test statistic to a critical value or equivalently by evaluating a p-value computed from the test statistic. Roughly 100 specialized statistical tests are in use.
What the process still cannot guarantee.
A thresholded decision compresses uncertainty, design choices and effect sizes into a ritual verdict.
That is a design criticism of how this research operation may be used, not a claim that the encyclopedia endorses the limitation. In this domain, the general redesign question is: statistical decisions become inspectable, selection-aware computations rather than one-number rituals.
Replace the mechanism.
Return effect estimates, decision losses, selection adjustments and predictive checks beside test results.
Implementation requires a typed scientific claim, explicit operational definitions, controlled access to evidence, an immutable record of relevant transformations, and independent checking appropriate to the kind of assertion. An AI-generated interpretation without those checks would reproduce the underlying failure at greater speed.
What would demonstrate improvement?
Test whether consequential decisions improve beyond a binary significance rule.
Compare with a defined baseline under matched resources, keep evaluation cases independent of the system under test, and measure both false alarms and undetected errors. Publish any negative or inconclusive result as part of the same investigation record.
Continue across concepts.
Each related title has its own revision-specific Wikipedia source and a separate critical dossier. Crosslinks are exploratory; they do not imply the encyclopedia articles support the proposed replacement.
No single authority.
The reference article establishes the historical and methodological subject under examination. The proposed criticism and replacement must earn their own support through reproducible tests and independent validation. Record disagreements instead of silently overwriting them.
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