Table 1
Uncertainty Budget for 100 mm steel gauge block using the GUM approach.
| Sources of uncertainty | Uncertainty symbol |
Unit | Type (A/B) |
Probability distribution |
Coverage factor |
Standard uncertainty |
Sensitivity coefficient |
Degrees of freedom |
|---|---|---|---|---|---|---|---|---|
| Repeatability of CMM reading |
 |
mm | A | t | 1.96 | 4.60 × 10−2 | 1.0000 | 9 |
| CMM verification report [see [13] |
 |
mm | B | Normal | 1.96 | 2.10 × 10−3 | 1.0000 | ∞ |
| Coefficient of thermal expansion of CMM scale | u(αc) | °C−1 | B | Rectangular |
 |
1.15 × 10−6 | 10.0045 | ∞ |
| Temperature deviation of CMM scale | u(ΔTc) | °C | B | Rectangular |
 |
2.89 × 10−1 | 5.00 × 10−4 | ∞ |
| Coefficient of thermal expansion of gauge block | u(αb) | °C−1 | B | Rectangular |
 |
1.00 × 10−6 | –10.0045 | ∞ |
| Temperature deviation of gauge block | u(ΔTb) | °C | B | Rectangular |
 |
2.89 × 10−1 | –1.15 × 10−3 | ∞ |
| Combined uncertainty | uc | mm | − | t | − | 0.0651 | − | 36 |
| Expanded uncertainty (k = 2) | U | mm | − | t | − | 0.1302 | − | − |
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