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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 5,3,2,1,1,1,1
OBSERVATIONS 5 3 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 = 5
SOLUTION MATRIX
DIVISOR = 40
OBSERVATIONS 5 3 2 1 1 1 1
Y(1) 20 -4 -16 12 12 12 12
Y(2) 0 -4 4 -8 -8 2 2
Y(3) 0 -4 4 2 2 -8 -8
Y(4) 0 0 0 -5 -5 -10 10
Y(5) 0 0 0 -5 -5 10 -10
Y(6) 0 0 0 -10 10 -5 -5
Y(7) 0 0 0 10 -10 -5 -5
Y(8) 0 4 -4 -12 8 3 3
Y(9) 0 4 -4 8 -12 3 3
Y(10) 0 4 -4 3 3 -12 8
Y(11) 0 4 -4 3 3 8 -12
R* 20 12 8 4 4 4 4
R* = sum of the three reference standards
FACTORS FOR REPEATABILITY STANDARD DEVIATIONS
WT FACTOR
5 3 2 1 1 1 1
5 0.5000 +
3 0.2646 +
2 0.4690 +
1 0.6557 +
1 0.6557 +
1 0.6557 +
1 0.6557 +
2 0.8485 + +
3 1.1705 + + +
4 1.3711 + + + +
1 0.6557 +
FACTORS FOR LEVEL-2 STANDARD DEVIATIONS
WT FACTOR
5 3 2 1 1 1 1
5 0.8660 +
3 0.8185 +
2 0.8485 +
1 1.0149 +
1 1.0149 +
1 1.0149 +
1 1.0149 +
2 1.4560 + +
3 1.8083 + + +
4 2.1166 + + + +
1 1.0149 +
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