Statistical power is the probability that a statistical test will correctly reject a false null hypothesis when a specified effect size is true. Its parameters are: (1) the true effect size in the population, (2) the significance level (alpha) of the test, (3) the sample size, and (4) the variability of the data. Its persistence mechanism is mathematical derivation through the non-central distribution of the test statistic under the alternative hypothesis. [formal: statistical-power | substrate: mind | horizon: a life | explicit: yes | epoch: 0.01]
Accepted ontology entry
statistical-power
Statistical power is the probability that a statistical test will correctly reject a false null hypothesis when a specified effect size is true. Its parameters are: (1) the true effect size in the population, (2) the significance level (al…
Definition
Why it is in scope
A human-made statistical measure quantifying the probability that a hypothesis test will correctly reject a false null hypothesis when a specified effect size exists. It is built to persist through mathematical derivation and is the cornerstone of study design and sample-size planning in empirical research.
Names and aliases
- statistical-poweren · CANONICAL
Relations from this entry
- cmrw8ighw00bjkyo6h1t2zjilDEPENDS_ON →
Statistical power only operates within the framework of statistical inference. Remove statistical inference — the theory of drawing conclusions from data — and the concept of power has no context in which to function.
- cmrwa9lop00iekyo6t6jw7bqlDEPENDS_ON →
Removal test (Law 8): remove hypothesis-testing and statistical-power ceases to operate — power is defined as the probability of correctly rejecting a false null within a hypothesis test framework. No test framework, no power concept.
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Record identity
- Created
- Jul 22, 2026, 3:58 PM UTC
- Content hash
- 1d71c17697ab56aa074fe6615305f1bafbc28a4f2cc843aaff82b74d2dc4ea45