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Measurement Evidence

Coverage Factor k: Do Not Automatically Relabel Every k=2 Statement as Exactly 95%

The coverage factor scales standard uncertainty. Its probability interpretation depends on the applicable distribution and evaluation.

Library dates organize the collection. Actual publication and revision dates are shown separately.

The coverage factor scales standard uncertainty. Its probability interpretation depends on the applicable distribution and evaluation.

Retain the statement as issued

Expanded uncertainty U equals k times combined standard uncertainty. A factor of two is often associated with an approximate coverage under appropriate conditions, but the factor alone does not establish an exact 95% probability for every result. Keep the accompanying coverage statement and method.

An invented reporting error

A certificate reports U=0.40 g and k=2 with its own stated interpretation. A spreadsheet converts this to u=0.20 g correctly, then rewrites the report as “guaranteed exact 95%.” The numerical conversion did not support that stronger wording. Copy the interpretation faithfully and ask the laboratory about uncertainty evaluation details.

When combining that contribution into another result, the new expanded uncertainty and coverage choice belong to the new evaluation. Reusing a certificate’s probability sentence for an unrelated budget can misstate the result.

Ask a specific follow-up

Retain the result, U, k, stated coverage and applicable conditions together. Ask which distribution or effective degrees-of-freedom treatment supports the factor where that matters. Avoid presenting an uncertainty interval as a guarantee about every future production outcome.

Primary references: JCGM international vocabulary, NIST measurement handbook.

Measurement review worksheet

This blank worksheet is for your own project. It contains no H M machine trial result.

Measurement review worksheet
QuestionEvidence to retain
What is the actual factor?k with U and u definitions
What coverage was stated?Original probability wording
Does it concern this result?Applicable evaluation and conditions

Customer Questions

Does k=2 always equal exactly 95%?

No. Its interpretation depends on the evaluation.

Can an uncertainty interval guarantee every future fill?

No. Measurement uncertainty and future process outcomes differ.

Can certificate coverage be copied to a new budget?

The new result needs its own applicable evaluation.

Primary References

These references support the technical principles discussed in this guide. The worked examples and review questions are educational.

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