Key comparison SIM.L-K3
12-sided polygon
MEASURAND : Deviation from nominal angle between two faces of the polygon
The polygon was measured in normal and inverted positions. A key comparison reference value of SIM.L-K3, x R,SIM, has beed determined for each
position. The key comparison reference value is here calculated as the weighted mean of all participants' results but excluding outliers. Its standard
uncertainty, u R,SIM, is calculated as the standard deviation of the weighted mean.
Normal position:
1-2
-146
30
x R,SIM
u R,SIM
2-3a
278
27
3-4
309
29
4-5
-31
30
5-6
97
28
6-7
-328
29
7-8
-447
28
8-9
95
29
9-10
-349
27
10-11
791
27
11-12
-183
30
12-1
-86
32
2-3a
279
28
3-4
340
29
4-5
38
28
5-6
93
26
6-7
336
27
7-8b,c
425
28
8-9
104
27
9-10
336
28
10-11
785
28
11-12
189
31
12-1
114
28
Inverted Position:
1-2b
-116
31
x R,SIM
u R,SIM
x R,SIM and u R,SIM are expressed in milliseconds
a
INTI
b
CENAM
c
NPLI excluded in the calculation of x R,SIM for the particular face-to-face.
The BIPM key comparison database, September 2015
1/21
Key comparison SIM.L-K3
12-sided polygon
For each face-to-face reading, the degree of equivalence of laboratory i with respect to the key comparison reference value is given by a
pair of terms, both expressed in milliseconds:
D i = (x i - x R) and its expanded uncertainty U i = 2(u i 2 - u R2)1/2.
MEASURAND : Deviation from nominal angle between two faces of the polygon, normal position
1-2
Face:
Lab i
INMETRO
NIST
GUM
NPLI
INTI
INMETRO
NIST
GUM
NPLI
INTI
3-4
4-5
5-6
6-7
Di
Ui
Di
Ui
Di
Ui
Di
Ui
Di
Ui
Di
Ui
90
-40
30
-310
-350
290
10
40
820
40
40
20
-10
90
550
290
10
30
820
40
-100
30
-10
-400
150
290
10
40
820
40
10
20
-10
520
-130
290
10
40
820
40
90
0
-10
20
110
290
10
40
820
40
-80
-10
10
20
-60
290
10
40
820
40
7-8
Face:
Lab i
2-3
8-9
9-10
10-11
11-12
12-1
Di
Ui
Di
Ui
Di
Ui
Di
Ui
Di
Ui
Di
Ui
60
-30
20
50
-340
290
10
40
820
40
-90
10
0
-450
320
290
10
40
820
40
0
0
0
-70
50
300
10
30
820
40
130
10
-10
200
-30
300
10
30
820
40
-80
0
0
120
-10
290
10
40
820
40
-70
0
20
210
-260
290
10
50
820
39
D i and U i are expressed in milliseconds
The BIPM key comparison database, September 2015
2/21
Key comparison SIM.L-K3
12-sided polygon
For each face-to-face reading, the degree of equivalence of laboratory i with respect to the key comparison reference value is given by a
pair of terms, both expressed in milliseconds:
D i = (x i - x R) and its expanded uncertainty U i = 2(u i 2 - u R2)1/2.
MEASURAND : Deviation from nominal angle between two faces of the polygon, inverted position
1-2
Face:
Lab i
INMETRO
CENAM
NIST
GUM
NPLI
INTI
INMETRO
CENAM
NIST
GUM
NPLI
INTI
3-4
4-5
5-6
6-7
Di
Ui
Di
Ui
Di
Ui
Di
Ui
Di
Ui
Di
Ui
40
-310
-20
20
240
-290
290
200
10
50
820
40
50
130
0
-20
-700
500
290
180
10
40
820
40
-30
150
0
-20
-540
130
290
180
10
50
820
40
-140
10
10
10
40
-180
290
180
10
40
820
40
20
130
0
-10
-710
120
300
180
10
40
820
40
-20
70
20
-10
0
10
300
180
10
40
820
40
7-8
Face:
Lab i
2-3
8-9
9-10
10-11
11-12
12-1
Di
Ui
Di
Ui
Di
Ui
Di
Ui
Di
Ui
Di
Ui
110
-290
-10
10
860
-30
290
190
10
40
820
40
-80
70
10
-10
-300
270
300
180
10
40
820
40
30
-30
-10
10
430
-10
290
180
10
40
820
40
-30
70
-40
0
420
-70
290
180
10
40
820
40
-50
100
-20
-10
250
50
290
180
10
60
820
40
60
-130
30
10
-50
-270
290
180
10
40
820
40
D i and U i are expressed in milliseconds
The BIPM key comparison database, September 2015
3/21
Key comparison SIM.L-K3
12-sided polygon
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for normal position
Polygon, faces 2-3
600
600
400
400
Di / millisecond
Di / millisecond
Polygon, faces 1-2
200
0
-200
-400
200
0
-200
-400
UNPLI = 820
millisecond
-600
-600
INMETRO
NIST
GUM
The BIPM key comparison database, September 2015
NPLI
INTI
INMETRO
NIST
GUM
NPLI
INTI
4/21
Key comparison SIM.L-K3
12-sided polygon
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for normal position
Polygon, faces 4-5
600
600
400
400
Di / millisecond
Di / millisecond
Polygon, faces 3-4
200
0
-200
-400
200
0
-200
-400
-600
-600
INMETRO
NIST
GUM
The BIPM key comparison database, September 2015
NPLI
INTI
INMETRO
NIST
GUM
NPLI
INTI
5/21
Key comparison SIM.L-K3
12-sided polygon
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for normal position
Polygon, faces 6-7
600
600
400
400
Di / millisecond
Di / millisecond
Polygon, faces 5-6
200
0
-200
-400
200
0
-200
-400
UNPLI = 820
millisecond
UNPLI = 820
millisecond
-600
-600
INMETRO
NIST
GUM
The BIPM key comparison database, September 2015
NPLI
INTI
INMETRO
NIST
GUM
NPLI
INTI
6/21
Key comparison SIM.L-K3
12-sided polygon
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for normal position
Polygon, faces 8-9
600
600
400
400
Di / millisecond
Di / millisecond
Polygon, faces 7-8
200
0
-200
-400
200
0
-200
-400
UNPLI = 820
millisecond
-600
-600
INMETRO
NIST
GUM
The BIPM key comparison database, September 2015
NPLI
INTI
INMETRO
NIST
GUM
NPLI
INTI
7/21
Key comparison SIM.L-K3
12-sided polygon
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for normal position
Polygon, faces 10-11
600
600
400
400
Di / millisecond
Di / millisecond
Polygon, faces 9-10
200
0
-200
-400
200
0
-200
-400
UNPLI = 820
millisecond
UNPLI = 820
millisecond
-600
-600
INMETRO
NIST
GUM
The BIPM key comparison database, September 2015
NPLI
INTI
INMETRO
NIST
GUM
NPLI
INTI
8/21
Key comparison SIM.L-K3
12-sided polygon
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for normal position
Polygon, faces 12-1
600
600
400
400
Di / millisecond
Di / millisecond
Polygon, faces 11-12
200
0
-200
-400
200
0
-200
-400
UNPLI = 820
millisecond
UNPLI = 820
millisecond
-600
-600
INMETRO
NIST
GUM
The BIPM key comparison database, September 2015
NPLI
INTI
INMETRO
NIST
GUM
NPLI
INTI
9/21
Key comparison SIM.L-K3
12-sided polygon
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for inverted position
Polygon, faces 2-3
600
600
400
400
200
0
-200
Di / millisecond
Di / millisecond
Polygon, faces 1-2
200
0
-200
-400
-400
-600
-600
The BIPM key comparison database, September 2015
(DNPLI;UNPLI )= (-700; 820)
millisecond
10/21
Key comparison SIM.L-K3
12-sided polygon
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for inverted position
Polygon, faces 4-5
600
600
400
400
200
0
-200
Di / millisecond
Di / millisecond
Polygon, faces 3-4
200
0
-200
-400
-400
-600
-600
The BIPM key comparison database, September 2015
UNPLI = 820
millisecond
11/21
Key comparison SIM.L-K3
12-sided polygon
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for inverted position
Polygon, faces 6-7
400
600
200
400
0
-200
-400
-600
-800
Di / millisecond
Di / millisecond
Polygon, faces 5-6
200
0
-200
-400
UNPLI = 820
millisecond
-600
INMETRO
The BIPM key comparison database, September 2015
CENAM
NIST
GUM
NPLI
12/21
Key comparison SIM.L-K3
12-sided polygon
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for inverted position
Polygon, faces 7-8
600
Polygon, faces 8-9
600
(DNPLI;UNPLI )= (860; 820)
millisecond
200
0
-200
400
Di / millisecond
Di / millisecond
400
200
0
-200
-400
-400
-600
-600
The BIPM key comparison database, September 2015
13/21
Key comparison SIM.L-K3
12-sided polygon
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for inverted position
Polygon, faces 10-11
600
600
400
400
200
0
-200
Di / millisecond
Di / millisecond
Polygon, faces 9-10
200
0
-200
-400
-400
-600
-600
The BIPM key comparison database, September 2015
14/21
Key comparison SIM.L-K3
12-sided polygon
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for inverted position
Polygon, faces 12-1
600
600
400
400
200
0
-200
Di / millisecond
Di / millisecond
Polygon, faces 11-12
200
0
-200
-400
-400
-600
-600
The BIPM key comparison database, September 2015
UNPLI = 820
millisecond
15/21
Key comparison SIM.L-K3
Angle blocks
MEASURAND : Deviation from nominal angle
The angle blocks were measured in normal and inverted positions. A key comparison reference value of SIM.L-K3, x R,SIM,
has beed determined for each angle block and position. The key comparison reference value is here calculated as the
weighted mean of all participants' results but excluding outliers. Its standard uncertainty, u R,SIM, is calculated as the
standard deviation of the weighted mean.
Normal position:
x R,SIM
5"
534
u R,SIM
35.0
x R,SIM
5' b
299
x R,SIM
5°
430
u R,SIM
37.0
u R,SIM
35.0
x R,SIM
30" a
257
x R,SIM
5' b
328
x R,SIM
5°
403
u R,SIM
36.0
u R,SIM
37.0
u R,SIM
35.0
x R,SIM
30"
280
u R,SIM
35.0
x R,SIM
5"
485
u R,SIM
25.0
Inverted position:
x R and u R are expressed in milliseconds
a
INMETRO
b
CENAM excluded in the calculation of x R,SIM for the particular angle block.
The BIPM key comparison database, September 2015
16/21
Key comparison SIM.L-K3
Angle blocks
For each angle block, the degree of equivalence of laboratory i with respect to the key comparison reference
value is given by a pair of terms, both expressed in milliseconds:
D i = (x i - x R) and its expanded uncertainty U i = 2(u i 2 - u R2)1/2.
Normal position
Nominal angle 5"
Lab i
INMETRO
CENAM
NIST
GUM
NPLI
INTI
Di
Normal position
Nominal angle 30"
Ui
/ millisecond
160
70
-70
-10
20
90
290
210
210
40
520
600
Inverted position
Nominal angle 5"
Lab i
INMETRO
CENAM
NIST
GUM
NPLI
INTI
Di
INMETRO
CENAM
NIST
GUM
NPLI
INTI
Di
Ui
/ millisecond
290
-40
0
-20
160
-10
290
210
210
40
520
600
Inverted position
Nominal angle 30"
Ui
/ millisecond
130
-230
30
10
70
-10
Lab i
Normal position
Nominal angle 5'
290
210
210
40
520
600
Lab i
INMETRO
CENAM
NIST
GUM
NPLI
INTI
The BIPM key comparison database, September 2015
Di
INMETRO
CENAM
NIST
GUM
NPLI
INTI
Di
Ui
/ millisecond
-240
620
30
10
60
60
290
310
210
40
510
600
Inverted position
Nominal angle 5'
Ui
/ millisecond
850
-150
20
10
140
50
Lab i
Normal position
Nominal angle 5°
310
210
210
40
520
600
Lab i
INMETRO
CENAM
NIST
GUM
NPLI
INTI
Di
INMETRO
CENAM
NIST
GUM
NPLI
INTI
Di
Ui
/ millisecond
10
90
20
10
20
-70
290
210
210
40
520
600
Inverted position
Nominal angle 5°
Ui
/ millisecond
-280
540
120
0
50
0
Lab i
290
310
210
40
510
600
Lab i
INMETRO
CENAM
NIST
GUM
NPLI
INTI
Di
Ui
/ millisecond
30
-160
80
10
130
0
290
210
210
40
520
600
17/21
Key comparison SIM.L-K3
Angle blocks
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for normal position
SIM.L-K3 Angle block
Deviation from nominal angle 30"
800
800
600
600
Di / millisecond
Di / millisecond
SIM.L-K3 Angle block
Deviation from nominal angle 5"
400
200
0
-200
400
200
0
-200
-400
-400
-600
-600
-800
INMETRO CENAM
NIST
GUM
The BIPM key comparison database, September 2015
NPLI
INTI
INMETRO CENAM
NIST
GUM
NPLI
INTI
18/21
Key comparison SIM.L-K3
Angle blocks
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for normal position
SIM.L-K3 Angle block
Deviation from nominal angle 5°
1200
800
1000
600
800
Di / millisecond
Di / millisecond
SIM.L-K3 Angle block
Deviation from nominal angle 5'
600
400
200
0
-200
400
200
0
-200
-400
-400
-600
-600
-800
-800
INMETRO CENAM
NIST
GUM
The BIPM key comparison database, September 2015
NPLI
INTI
INMETRO CENAM
NIST
GUM
NPLI
INTI
19/21
Key comparison SIM.L-K3
Angle blocks
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for inverted position
SIM.L-K3 Angle block
Deviation from nominal angle 5"
SIM.L-K3 Angle block
Deviation from nominal angle 30"
800
1400
1200
Di / millisecond
Di / millisecond
600
400
200
0
-200
1000
800
600
400
200
0
-200
-400
-400
-600
-600
-800
-800
INMETRO CENAM
NIST
GUM
The BIPM key comparison database, September 2015
NPLI
INTI
INMETRO CENAM
NIST
GUM
NPLI
INTI
20/21
Key comparison SIM.L-K3
Angle blocks
Degrees of equivalence D i and expanded uncertainty (k = 2) U i , in milliseconds for inverted position
SIM.L-K3 Angle block
Deviation from nominal angle 5°
1000
800
800
600
Di / millisecond
Di / millisecond
SIM.L-K3 Angle block
Deviation from nominal angle 5'
600
400
200
0
-200
400
200
0
-200
-400
-400
-600
-600
-800
-800
INMETRO CENAM
NIST
GUM
The BIPM key comparison database, September 2015
NPLI
INTI
INMETRO CENAM
NIST
GUM
NPLI
INTI
21/21