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 + |