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Independent standard-component screen

Measurement uncertainty

Inputs

Reported value used only to express the relative expanded uncertainty.
User-entered standard uncertainty component from a stated statistical evaluation.
User-entered standard uncertainty component; convert any stated interval before entering.
User-entered standard uncertainty component for resolution or quantization.
User-entered standard uncertainty component for the stated environmental influence.
User-supplied multiplier only; this screen does not select k or assert coverage probability.

Results

Combined standard uncertainty

0.054772

unit
Expanded uncertainty

0.10954

unit
Relative expanded uncertainty

0.43818

%
uc = √(uA² + uCal² + uRes² + uEnv²); U = k·uc

A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.

Nearby: ISO 286 fits · Tolerance stack · Position deviation · MMC bonus & virtual condition

Method

Formula, when it applies, and when it does not

Combine independent standard uncertainty components and report expanded uncertainty using a coverage factor.

uc = √(uA² + uCal² + uRes² + uEnv²); U = k·uc

When

  • Components are independent
  • All components are standard uncertainties
  • Compatible stated units
  • Coverage factor supplied by user

Don’t

  • This is root-sum-square arithmetic for user-entered independent standard uncertainty components in compatible units. It does not select distributions, convert stated intervals to standard uncertainties, evaluate correlations or sensitivity coefficients, determine degrees of freedom, choose a coverage factor, assert coverage probability, or certify a result.
NIST Technical Note 1297