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

2.3.4.1.7.

Design for 2,2,2,1,1

Design 2,2,2,1,1


 OBSERVATIONS   2   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 =  16

 OBSERVATIONS      2      2      2      1      1


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

    R* = sum of the two reference standards



 FACTORS FOR REPEATABILITY STANDARD DEVIATIONS
 WT  FACTOR
               2   2   2   1   1
  2  0.3536    +
  2  0.3536        +
  2  0.6124            +
  1  0.5863                +
  1  0.5863                    +
  2  0.6124                +   +
  4  1.0000            +   +   +
  1  0.5863                +


 FACTORS FOR BETWEEN-DAY STANDARD DEVIATIONS
 WT  FACTOR
               2   2   2   1   1
  2  0.7071    +
  2  0.7071        +
  2  1.2247            +
  1  1.0607               +
  1  1.0607                    +
  2  1.5811                +   +
  4  2.2361            +   +   +
  1  1.0607                +

Explanation of notation and interpretation of tables