Testing of industrial products - Aggregates for construction
Precision values obtained from the cross-testing experiment on the Sand Equivalent test
Note 1. For all the tables here, "stragglers" have been included in the calculations, and "outliers" have been excluded.
Note 2. See the formulae for the special definition of coefficient of variation used with the Sand Equivalent test.
Table 1. Repeatability and reproducibility values.
| | Level 1 | Level 2 | Level 3 |
Number of laboratories included |
N | 31 | 31 | 31 |
Average |
X | 40.1 | 55.5 | 57.2 |
Repeatability standard deviation |
Sr1 | 0.92 | 1.00 | 1.17 |
Reproducibility standard deviation |
SR1 | 7.59 | 3.95 | 3.38 |
Critical range |
Wc | 3.2 | 2.9 | 3.4 |
Repeatability limit |
r1 | 2.6 | 2.8 | 3.3 |
Reproducibility limit |
R1 | 21.2 | 11.1 | 9.5 |
Table 2. Functional relations for Sand Equivalent test for SE values (X) in the range 40 <= X <= 60 SE units.
| Functional relationship |
Repeatability standard deviation |
Sr1 = 0.5 + 0.0108 (100 - X) |
Reproducibility standard deviation |
SR1 = 0.5 + 0.0884 (100 - X) |
Repeatability limit |
r1 = 1.4 + 0.03 (100 - X) |
Reproducibility limit |
R1 = 1.4 + 0.25 (100 - X) |
Table 3. Repeatability and reproducibility standard deviations expressed as coefficients of variation.
| | Level 1 | Level 2 | Level 3 |
Repeatability coefficient of variation |
Cr1 | 1.5 | 2.2 | 2.7 |
Reproducibility coefficient of variation |
CR1 | 12.7 | 8.9 | 7.9 |