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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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OBSERVATIONS 5 3 2 2 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) + -
Y(12) - +
RESTRAINT + + +
CHECK STANDARDS +
DEGREES OF FREEDOM = 6
SOLUTION MATRIX
DIVISOR = 10
OBSERVATIONS 5 3 2 2 1 1 1
Y(1) 2 0 -2 2 0 0 0
Y(2) 0 -6 6 -4 -2 -2 -2
Y(3) 1 1 -2 0 -1 1 1
Y(4) 1 1 -2 0 1 -1 1
Y(5) 1 1 -2 0 1 1 -1
Y(6) -1 1 0 -2 -1 1 1
Y(7) -1 1 0 -2 1 -1 1
Y(8) -1 1 0 -2 1 1 -1
Y(9) 0 -2 2 2 -4 -4 -4
Y(10) 0 0 0 0 2 -2 0
Y(11) 0 0 0 0 0 2 -2
Y(12) 0 0 0 0 -2 0 2
R* 5 3 2 2 1 1 1
R* = sum of the three reference standards
FACTORS FOR REPEATABILITY STANDARD DEVIATIONS
WT FACTOR
5 3 2 2 1 1 1
5 0.3162 +
3 0.6782 +
2 0.7483 +
2 0.6000 +
1 0.5831 +
1 0.5831 +
1 0.5831 +
3 0.8124 + +
4 1.1136 + + +
1 0.5831 +
FACTORS FOR BETWEEN-DAY STANDARD DEVIATIONS
WT FACTOR
5 3 2 2 1 1 1
5 0.8660 +
3 0.8185 +
2 0.8485 +
2 1.0583 +
1 1.0149 +
1 1.0149 +
1 1.0149 +
3 1.5067 + +
4 1.8655 + + +
1 1.0149 +
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