2. Measurement Process Characterization
2.3. Calibration
2.3.4. Catalog of calibration designs
2.3.4.1. Mass weights

2.3.4.1.23.

Design for 5,2,2,1,1,1 weights

 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 =  14

 OBSERVATIONS      5      2      2      1      1      1

    Y(1)          -8     -6     -6     -2     -2      2
    Y(2)          -8     -6     -6     -2      2     -2
    Y(3)           2     -2     -2      4      0      0
    Y(4)          14      6      8      0      0      0
    Y(5)          14      8      6      0      0      0
    Y(6)           5      4      0      3     -1      1
    Y(7)          -5      0     -4     -3     -1      1
    Y(8)           0      2     -2      0      2     -2
    R*            35     14     14      7      7      7 

    R* = sum of the two reference standards



 FACTORS FOR REPEATABILITY STANDARD DEVIATIONS
 WT    K1
               5   2   2   1   1   1
  5  1.7113    +
  2  1.0000        +
  2  1.0000            +
  1  0.4629                +
  1  0.2673                    +
  1  0.2673                        + 
  0  0.5345                    +   -     


FACTORS FOR BETWEEN-DAY STANDARD DEVIATIONS
 WT    K2
               5   2   2   1   1   1
  5  3.6742    +
  2  1.7321        +
  2  1.7321            +
  1  1.2247                +
  1  0.7071                    +
  1  0.7071                        +
  1  1.4142                    +   -

Explanation of notation and interpretation of tables