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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 4 4 3 2 2 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 STANDARD + -
DEGREES OF FREEDOM = 5
SOLUTION MATRIX
DIVISOR = 916
OBSERVATIONS 5 4 4 3 2 2 1 1
Y(1) 232 325 123 8 -37 135 -1 1
Y(2) 384 151 401 108 73 105 101 -101
Y(3) 432 84 308 236 168 204 -144 144
Y(4) 608 220 196 400 440 -120 408 -408
Y(5) 280 258 30 136 58 234 -246 246
Y(6) 24 -148 68 64 -296 164 -8 8
Y(7) -104 -122 -142 28 214 -558 -118 118
Y(8) -512 -354 -382 -144 -250 -598 18 -18
Y(9) 76 -87 139 -408 55 443 51 -51
Y(10) -128 26 -210 -36 -406 194 -110 110
Y(11) -76 87 -139 -508 -55 473 -51 51
Y(12) -300 -440 -392 116 36 -676 100 -100
R* 1224 696 720 516 476 120 508 408
R* = sum of the two reference standards (for going-up calibrations)
FACTORS FOR REPEATABILITY STANDARD DEVIATIONS
WT FACTOR
5 4 4 3 2 2 1 1
5 1.2095 +
4 0.8610 +
4 0.9246 +
3 0.9204 +
2 0.8456 +
2 1.4444 +
1 0.5975 +
1 0.5975 +
4 1.5818 + +
7 1.7620 + + +
11 2.5981 + + + +
15 3.3153 + + + + +
20 4.4809 + + + + + +
0 1.1950 + -
FACTORS FOR BETWEEN-DAY STANDARD DEVIATIONS
WT FACTOR
5 4 4 3 2 2 1 1
5 2.1380 +
4 1.4679 +
4 1.4952 +
3 1.2785 +
2 1.2410 +
2 1.0170 +
1 0.7113 +
1 0.7113 +
4 1.6872 + +
7 2.4387 + + +
11 3.4641 + + + +
15 4.4981 + + + + +
20 6.2893 + + + + + +
0 1.4226 + -
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