Decision rules: simple acceptance, guard bands and ILAC G8

A customer sends a thermometer with a tolerance of ±0.5 °C. You measure an error of 0.40 °C with an expanded uncertainty of 0.16 °C. Does it conform? The measured value is inside the tolerance, but the true error could be up to 0.56 °C. The answer depends on the decision rule: the agreed rule that says how measurement uncertainty is taken into account when you state conformity.

What ISO/IEC 17025 requires

ISO/IEC 17025:2017 requires that, when a customer asks for a statement of conformity, the decision rule is clearly defined and, unless it is already part of the requested specification or standard, communicated to and agreed with the customer (clause 7.1.3), and that the report identifies the rule that was applied (clause 7.8.6). ILAC G8:09/2019, Guidelines on Decision Rules and Statements of Conformity, describes the common rules and how to report them. The choice of rule is a decision about risk, and it belongs to the laboratory and its customer.

The guard band idea

Every rule works with an acceptance limit that may differ from the tolerance limit by a guard band w:

acceptance limit = tolerance limit − w   (for an upper limit)

What the risk looks like

With a normal distribution, the probability that the true value lies within the tolerance can be calculated from the measured value, the limits and the standard uncertainty. Two cases are worth remembering:

Worked example: thermometer, tolerance ±0.5 °C, U = 0.16 °C

The budget from the step-by-step guide gives uc = 0.080 °C and U = 0.16 °C (k = 2). With guarded acceptance (w = U), the acceptance zone is ±0.34 °C.

Measured errorStatement (interval ± U)Probability of conformanceSimple acceptanceGuarded acceptance, w = U
0.30 °CPass99.4 %AcceptAccept
0.40 °CConditional pass89.4 %AcceptDo not accept
0.55 °CConditional fail26.6 %RejectReject
0.70 °CFail0.6 %RejectReject

The interesting row is 0.40 °C. Under simple acceptance the thermometer passes, although there is a roughly 1 in 10 chance that its true error is outside the tolerance. Under guarded acceptance it does not pass. Neither answer is "right". They reflect different agreements about who carries the risk.

The four statements

ILAC G8 describes non-binary statements that tell the customer more than a plain yes or no. Metroloom labels results by where the interval measured value ± U lies:

The "conditional" statements are exactly the cases where the decision rule matters.

How to choose a rule

Who decides. A calculator can show the statement and the probability for the inputs and rule you give it. The rule itself, and the conformity decision, are agreed between the laboratory and its customer. In Metroloom you choose the rule and record your own decision.