Testing of industrial products - Aggregates for construction

Precision values obtained from the cross-testing experiments on the Chloride test

Note. For all the tables here, "stragglers" have been included in the calculations, and "outliers" have been excluded.

Table 1. Repeatability and reproducibility
for the European cross-testing experiment.
Chloride ion contents (percentages by mass).
		Level 1	Level 2	Level 3
Number of laboratories included	N	14	15	16
Average	X	0.0840	0.0211	0.0017
Repeatability standard deviation	S_r	---	0.0003	---
Reproducibility standard deviation	S_R	---	0.0004	---
Repeatability standard deviation	S_r1	0.0010	---	0.0001
Reproducibility standard deviation	S_R1	0.0039	---	0.0003
Repeatability limit	r	---	0.0008	---
Reproducibility limit	R	---	0.0012	---
Critical range	W	0.0036	---	0.0006
Repeatability limit	r₁	0.0028	---	0.0004
Reproducibility limit	R₁	0.0110	---	0.0008

Table 2. Functional relationships
for the European cross-testing experiment
Chloride ion contents (percentages by mass).
	Functional relationship*
Repeatability standard deviation	S_r1 = 0.0001 + 0.011 X
Reproducibility standard deviation	S_R1 = 0.0002 + 0.044 X
Repeatability limit	r₁ = 0.0004 + 0.029 X
Reproducibility limit	R₁ = 0.0006 + 0.124 X

* Note: the relationships are fitted to the results for Levels 1 and 3 only.

Table 3. Repeatability and reproducibility standard deviations
for the European cross-testing experiment
expressed as coefficients of variation.
		Level 1	Level 2	Level 3
Repeatability coefficient of variation	C_r	---	1.3	---
Reproducibility coefficient of variation	C_R	---	2.0	---
Repeatability coefficient of variation	C_r1	1.2	---	8.3
Reproducibility coefficient of variation	C_R1	4.7	---	15.9

Table 4. Repeatability and reproducibility
for the French cross-testing experiment.
Chloride ion contents (percentages by mass).
		Level 1	Level 2	Level 3
Number of laboratories included	N	8	8	8
Average	X	0.0829	0.0209	0.0017
Repeatability standard deviation	S_r	---	0.0001	---
Reproducibility standard deviation	S_R	---	0.0003	---
Repeatability standard deviation	S_r1	0.0015	---	0.0001
Reproducibility standard deviation	S_R1	0.0064	---	0.0004
Repeatability limit	r	---	0.0004	---
Reproducibility limit	R	---	0.0008	---
Critical range	W	0.0047	---	0.0005
Repeatability limit	r₁	0.0042	---	0.0003
Reproducibility limit	R₁	0.0178	---	0.0011

Table 5. Functional relationships
for the French cross-testing experiment
Chloride ion contents (percentages by mass).
	Functional relationship*
Repeatability standard deviation	S_r1 = 0.0001 + 0.017 X
Reproducibility standard deviation	S_R1 = 0.0003 + 0.074 X
Repeatability limit	r₁ = 0.0002 + 0.048 X
Reproducibility limit	R₁ = 0.0007 + 0.206 X

* Note: the relationships are fitted to the results for Levels 1 and 3 only.

Table 6. Repeatability and reproducibility standard deviations
for the French cross-testing experiment
expressed as coefficients of variation.
		Level 1	Level 2	Level 3
Repeatability coefficient of variation	C_r	---	0.7	---
Reproducibility coefficient of variation	C_R	---	1.4	---
Repeatability coefficient of variation	C_r1	1.8	---	7.1
Reproducibility coefficient of variation	C_R1	7.7	---	22.9