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

2.3.4.1.2.

Design for 1,1,1,1

Design 1,1,1,1


 OBSERVATIONS   1   1   1   1


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


 RESTRAINT      +   +

 CHECK STANDARD +   -

 DEGREES OF FREEDOM  =  3


                      SOLUTION MATRIX
                       DIVISOR  =  8

 OBSERVATIONS      1      1      1      1


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

    R* = sum of two reference standards


 FACTORS FOR REPEATABILITY STANDARD DEVIATIONS
 WT  FACTOR
        K1     1   1   1   1
  1  0.3536    +
  1  0.3536        +
  1  0.6124            +
  1  0.6124                +
  0  0.7071    +   -

                           
 FACTORS FOR BETWEEN-DAY STANDARD DEVIATIONS
 WT  FACTOR
        K2     1   1   1   1
  1  0.7071    +
  1  0.7071        +
  1  1.2247            +
  1  1.2247                +
  0  1.4141    +   -

Explanation of notation and interpretation of tables