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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 5 3 2 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 = 10
OBSERVATIONS 5 5 3 2 1 1 1
Y(1) 1 -1 -2 -3 1 1 1
Y(2) -1 1 -2 -3 1 1 1
Y(3) 1 -1 2 -2 -1 -1 -1
Y(4) -1 1 2 -2 -1 -1 -1
Y(5) 1 -1 -1 1 -2 -2 3
Y(6) 1 -1 -1 1 -2 3 -2
Y(7) 1 -1 -1 1 3 -2 -2
Y(8) -1 1 -1 1 -2 -2 3
Y(9) -1 1 -1 1 -2 3 -2
Y(10) -1 1 -1 1 3 -2 -2
R* 5 5 3 2 1 1 1
R* = sum of the two reference standards
FACTORS FOR REPEATABILITY STANDARD DEVIATIONS
WT FACTOR
5 5 3 2 1 1 1
5 0.3162 +
5 0.3162 +
3 0.4690 +
2 0.5657 +
1 0.6164 +
1 0.6164 +
1 0.6164 +
3 0.7874 + +
6 0.8246 + + +
11 0.8832 + + + +
16 0.8246 + + + + +
1 0.6164 +
FACTORS FOR BETWEEN-DAY STANDARD DEVIATIONS
WT FACTOR
5 5 3 2 1 1 1
5 0.7071 +
5 0.7071 +
3 1.0863 +
2 1.0392 +
1 1.0100 +
1 1.0100 +
1 1.0100 +
3 1.4765 + +
6 1.9287 + + +
11 2.0543 + + + +
16 1.9287 + + + + +
1 1.0100 +
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