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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
OBSERVATIONS 5 2 2 1 1 1
Y(1) + - - - - +
Y(2) + - - - + -
Y(3) + - - + - -
Y(4) + - - - -
Y(5) + - - - -
Y(6) + - + -
Y(7) + - - +
Y(8) + - + -
RESTRAINT + + + +
CHECK STANDARD +
DEGREES OF FREEDOM = 3
SOLUTION MATRIX
DIVISOR = 70
OBSERVATIONS 5 2 2 1 1 1
Y(1) 15 -8 -8 1 1 21
Y(2) 15 -8 -8 1 21 1
Y(3) 5 -12 -12 19 -1 -1
Y(4) 0 2 12 -14 -14 -14
Y(5) 0 12 2 -14 -14 -14
Y(6) -5 8 -12 9 -11 -1
Y(7) 5 12 -8 -9 1 11
Y(8) 0 10 -10 0 10 -10
R* 35 14 14 7 7 7
R* = sum of the four reference standards
FACTORS FOR REPEATABILITY STANDARD DEVIATIONS
WT FACTOR
5 2 2 1 1 1
5 0.3273 +
2 0.3854 +
2 0.3854 +
1 0.4326 +
1 0.4645 +
1 0.4645 +
1 0.4645 +
FACTORS FOR BETWEEN-DAY STANDARD DEVIATIONS
WT FACTOR
5 2 2 1 1 1
5 1.0000 +
2 0.8718 +
2 0.8718 +
1 0.9165 +
1 1.0198 +
1 1.0198 +
1 1.0198 +
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