Weight tolerance check
Check a weight’s measured conventional mass against the maximum permissible error for its class and nominal value. You enter the MPE from the edition of ASTM E617, OIML R 111 or other standard you work to; no tolerance table is built in. The decision names its rule (simple acceptance, w = r × U, or a target risk) and gives the specific risk for the reading.
Weight tolerance · class MPE you enter
v0.1.0 · ILAC G8 · JCGM 106Result, per the rule chosenConformsError E = 0.12 mg against ± 0.5 mg. Rule: guarded acceptance, w = 1 × U. Acceptance limits on E -0.34 to 0.34 mg; U ÷ MPE = 0.32.
Specific false-accept risk0.00010 %Probability the true error is outside ± MPE, for this reading (normal, u = U/k)
Wording for the certificate
Weight of nominal value 100000 mg: error E = m_c − m₀ = 0.12 mg against MPE ± 0.5 mg. Conforms to the specification (−0.5 to 0.5 mg) per decision rule: guarded acceptance, w = 1 × U; guard band w = 0.16 mg, acceptance limits −0.34 to 0.34 mg. Measured value 0.12 mg, expanded uncertainty U = 0.16 mg (k = 2). Specific probability of false accept: 0.00010 % (probability for this measured value, normal distribution, JCGM 106:2012).
E = m_c − m₀ · tolerance ± MPE · AL = −MPE + w, AU = MPE − w, w = r·U · no class table is built in
The inputs are in the link itself; nothing is stored or sent.
Test vectors for this tool
The reference cases this calculator is tested against on every change. Use them to check your own software. All test vectors · Download JSON
| ID | Inputs | Expected | Tolerance | Source |
|---|---|---|---|---|
| WT-01 | nominal = 100000, mpe = 0.5, U = 0.16, k = 2, unit = mg, measured = 100000.12, rule = guard-band, multiplier = 1, output = error | 0.12 mg | ± 1e-9 | Hand arithmetic: E = m_c − m₀ checked against ± MPE with the conformity engine (same rules as CONF-). The MPE is a made-up user entry, not a class table value; no ASTM E617 or OIML R 111 value is used. |
| WT-02 | nominal = 100000, mpe = 0.5, U = 0.16, k = 2, unit = mg, measured = 100000.12, rule = guard-band, multiplier = 1, output = acceptanceUpper | 0.34 mg | ± 1e-12 | Hand arithmetic: E = m_c − m₀ checked against ± MPE with the conformity engine (same rules as CONF-). The MPE is a made-up user entry, not a class table value; no ASTM E617 or OIML R 111 value is used. |
| WT-03 | nominal = 100000, mpe = 0.5, U = 0.16, k = 2, unit = mg, measured = 100000.12, rule = guard-band, multiplier = 1, output = decision | conforms per rule | exact | Hand arithmetic: E = m_c − m₀ checked against ± MPE with the conformity engine (same rules as CONF-). The MPE is a made-up user entry, not a class table value; no ASTM E617 or OIML R 111 value is used. |
| WT-04 | nominal = 100000, mpe = 0.5, U = 0.16, k = 2, unit = mg, measured = 100000.4, rule = guard-band, multiplier = 1, output = decision | does-not-conform per rule | exact | Hand arithmetic: E = m_c − m₀ checked against ± MPE with the conformity engine (same rules as CONF-). The MPE is a made-up user entry, not a class table value; no ASTM E617 or OIML R 111 value is used. |
| WT-05 | nominal = 100000, mpe = 0.5, U = 0.16, k = 2, unit = mg, measured = 100000.4, rule = simple, output = decision | conforms per rule | exact | Hand arithmetic: E = m_c − m₀ checked against ± MPE with the conformity engine (same rules as CONF-). The MPE is a made-up user entry, not a class table value; no ASTM E617 or OIML R 111 value is used. |
| WT-06 | nominal = 100000, mpe = 0.5, U = 0.16, k = 2, unit = mg, measured = 99999.55, rule = guard-band, multiplier = 1, output = decision | does-not-conform per rule | exact | Hand arithmetic: E = m_c − m₀ checked against ± MPE with the conformity engine (same rules as CONF-). The MPE is a made-up user entry, not a class table value; no ASTM E617 or OIML R 111 value is used. |
| WT-07 | nominal = 100000, mpe = 0.5, U = 0.16, k = 2, unit = mg, measured = 99999.55, rule = simple, output = decision | conforms per rule | exact | Hand arithmetic: E = m_c − m₀ checked against ± MPE with the conformity engine (same rules as CONF-). The MPE is a made-up user entry, not a class table value; no ASTM E617 or OIML R 111 value is used. |
| WT-08 | nominal = 100000, mpe = 0.5, U = 0.16, k = 2, unit = mg, measured = 100000.6, rule = simple, output = decision | does-not-conform per rule | exact | Hand arithmetic: E = m_c − m₀ checked against ± MPE with the conformity engine (same rules as CONF-). The MPE is a made-up user entry, not a class table value; no ASTM E617 or OIML R 111 value is used. |
| WT-09 | nominal = 1, measured = 1.00002, mpe = 0.0001, U = 0.00003, k = 2, unit = g, rule = guard-band, multiplier = 1, output = error | 0.00002 g | ± 1e-12 | Hand arithmetic: E = m_c − m₀ checked against ± MPE with the conformity engine (same rules as CONF-). The MPE is a made-up user entry, not a class table value; no ASTM E617 or OIML R 111 value is used. |
| WT-10 | nominal = 1, measured = 1.00002, mpe = 0.0001, U = 0.00003, k = 2, unit = g, rule = guard-band, multiplier = 1, output = decision | conforms per rule | exact | Hand arithmetic: E = m_c − m₀ checked against ± MPE with the conformity engine (same rules as CONF-). The MPE is a made-up user entry, not a class table value; no ASTM E617 or OIML R 111 value is used. |
| WT-11 | nominal = 100000, mpe = 0, U = 0.16, k = 2, unit = mg, measured = 100000.1, rule = simple, output = decision | RangeError per rule | exact | Input check |
| WT-12 | nominal = 100000, mpe = 0.5, U = 0.16, k = 5, unit = mg, measured = 100000.1, rule = guard-band, multiplier = 1, output = decision | OutOfRangeError per rule | exact | Metrology Bench rule: refuse rather than extrapolate |
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