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

2.3.4.1.18.

Design for 10-and 20-pound weights

 OBSERVATIONS   1   2   2   1   1


     Y(1)       +           -
     Y(2)       +               -
     Y(3)       +   -           +
     Y(4)       +       -   +
     Y(5)       +   -       +
     Y(6)       +       -       +
     Y(7)           +   -
                              

 RESTRAINT      +


 CHECK STANDARD             +


 DEGREES OF FREEDOM = 3



                         SOLUTION MATRIX
                           DIVISOR  =   24

 OBSERVATIONS      1      2      2      1      1


    Y(1)           0    -12    -12    -16     -8
    Y(2)           0    -12    -12     -8    -16
    Y(3)           0     -9     -3     -4      4
    Y(4)           0     -3     -9      4     -4
    Y(5)           0     -9     -3      4     -4
    Y(6)           0     -3     -9     -4      4
    Y(7)           0      6     -6      0      0
    R*            24     48     48     24     24  

    R* = Value of the reference standard


 FACTORS FOR REPEATABILITY STANDARD DEVIATIONS

 WT    K1      1   2   2   1   1
  2  0.9354        +
  2  0.9354            +
  1  0.8165                +
  1  0.8165                    +
  4  1.7321        +   +
  5  2.3805        +   +   +
  6  3.0000        +   +   +   +
  1  0.8165                +  

 FACTORS FOR BETWEEN-DAY STANDARD DEVIATIONS

 WT    K2      1   2   2   1   1
  2  2.2361        +
  2  2.2361            +
  1  1.4142                +
  1  1.4142                    +
  4  4.2426        +   +
  5  5.2915        +   +   +
  6  6.3246        +   +   +   +
  1  1.4142                +  

Explanation of notation and interpretation of tables