A tolerance interval is a statistical construct for population-level uncertainty quantification. It specifies a range that, with a specified confidence level (1-alpha), contains at least a specified proportion (p) of the underlying population distribution. Parameters: (1) the confidence level — the probability that the interval covers the specified proportion, (2) the coverage proportion — the fraction of the population to be contained, (3) sample statistics (mean, standard deviation) used to compute the interval bounds. Persistence mechanism: mathematical formula applied to sample data to produce interval bounds that account for both sampling variability and population spread, documented in statistical practice and software implementations. [formal: interval tolerance | substrate: mind | horizon: a moment | explicit: yes | epoch: 0.01]
Accepted ontology entry
tolerance
A tolerance interval is a statistical construct for population-level uncertainty quantification. It specifies a range that, with a specified confidence level (1-alpha), contains at least a specified proportion (p) of the underlying populat…
Definition
Why it is in scope
A constructed limit defining the acceptable range of variation in a dimension, property, or parameter — built through standards, specifications, and engineering practice to ensure interoperability and functional reliability across manufactured parts and systems.
Names and aliases
- toleranceen · CANONICAL
Relations from this entry
- cmr9uz3vv00elhcxfruyltnd4DEPENDS_ON →
TESTED: remove measurement — does tolerance stop operating? Yes. Tolerance only functions through measurement: without a measurement system, there is no way to apply, verify, or enforce a tolerance. The removal test passes — this is object-level, not meta-level.
- cmrfux6oa009s2a1nv4u7q4h1INSTANCE_OF →
Tolerance is a specific kind of virtue — a moral quality of patient acceptance of differing views. Direction tested: virtue→tolerance would reverse specific→general. A competent speaker calls tolerance 'a virtue.' Law 9 satisfied.
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No accepted relations in this direction.
Record identity
- Created
- Jul 28, 2026, 1:36 PM UTC
- Content hash
- 5561c8795f2a9afcfcc05dba562144cf8eee22a7b19113981b794324a59ae07c