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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 5,2,2,1,1,1,1
OBSERVATIONS 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) + -
RESTRAINT + + + +
CHECK STANDARD +
DEGREES OF FREEDOM = 4
SOLUTION MATRIX
DIVISOR = 60
OBSERVATIONS 5 2 2 1 1 1 1
Y(1) 12 0 0 -12 0 0 0
Y(2) 6 -4 -4 2 -12 3 3
Y(3) 6 -4 -4 2 3 -12 3
Y(4) 6 -4 -4 2 3 3 -12
Y(5) -6 28 -32 10 -6 -6 -6
Y(6) -6 -32 28 10 -6 -6 -6
Y(7) 6 8 8 -22 -6 -6 -6
Y(8) 0 0 0 0 15 -15 0
Y(9) 0 0 0 0 15 0 -15
Y(10) 0 0 0 0 0 15 -15
R* 30 12 12 6 6 6 6
R* = sum of the four reference standards
FACTORS FOR REPEATABILITY STANDARD DEVIATIONS
WT FACTOR
5 2 2 1 1 1 1
5 0.3162 +
2 0.7303 +
2 0.7303 +
1 0.4830 +
1 0.4472 +
1 0.4472 +
1 0.4472 +
2 0.5477 + +
3 0.5477 + + +
1 0.4472 +
FACTORS FOR BETWEEN-DAY STANDARD DEVIATIONS
WT FACTOR
5 2 2 1 1 1 1
5 1.0000 +
2 0.8718 +
2 0.8718 +
1 0.9165 +
1 1.0198 +
1 1.0198 +
1 1.0198 +
2 1.4697 + +
3 1.8330 + + +
1 1.0198 +
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