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2.
Measurement Process Characterization
2.3. Calibration 2.3.4. Catalog of calibration designs 2.3.4.1. Mass weights
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Design 5,5,2,2,1,1,1,1
OBSERVATIONS 5 5 2 2 1 1 1 1
Y(1) + - - -
Y(2) + - - -
Y(3) + - - -
Y(4) + - - -
Y(5) + + - - - -
Y(6) + - -
Y(7) + - -
Y(8) + - -
Y(9) + - -
Y(10) + -
Y(11) + -
RESTRAINT + +
CHECK STANDARD +
DEGREES OF FREEDOM = 4
SOLUTION MATRIX
DIVISOR = 120
OBSERVATIONS 5 5 2 2 1 1 1 1
Y(1) 30 -30 -12 -12 -22 -10 10 -2
Y(2) -30 30 -12 -12 -10 -22 -2 10
Y(3) 30 -30 -12 -12 10 -2 -22 -10
Y(4) -30 30 -12 -12 -2 10 -10 -22
Y(5) 0 0 6 6 -12 -12 -12 -12
Y(6) -30 30 33 -27 -36 24 -36 24
Y(7) 30 -30 33 -27 24 -36 24 -36
Y(8) 0 0 -27 33 -18 6 6 -18
Y(9) 0 0 -27 33 6 -18 -18 6
Y(10) 0 0 0 0 32 8 -32 -8
Y(11) 0 0 0 0 8 32 -8 -32
R* 60 60 24 24 12 12 12 12
R* = sum of the two reference standards
FACTORS FOR COMPUTING REPEATABILITY STANDARD DEVIATIONS
WT FACTOR
5 5 2 2 1 1 1 1
5 0.6124 +
5 0.6124 +
2 0.5431 +
2 0.5431 +
1 0.5370 +
1 0.5370 +
1 0.5370 +
1 0.5370 +
2 0.6733 + +
4 0.8879 + + +
6 0.8446 + + + +
11 1.0432 + + + + +
16 0.8446 + + + + + +
1 0.5370 +
FACTORS FOR COMPUTING LEVEL-2 STANDARD DEVIATIONS
WT FACTOR
5 5 2 2 1 1 1 1
5 0.7071 +
5 0.7071 +
2 1.0392 +
2 1.0392 +
1 1.0100 +
1 1.0100 +
1 1.0100 +
1 1.0100 +
2 1.4422 + +
4 1.8221 + + +
6 2.1726 + + + +
11 2.2847 + + + + +
16 2.1726 + + + + + +
1 1.0100 +
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