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

2.3.4.1.20.

Design for 1,1,1,1 Increasing Weights

 Design 1,1,1,1 for increasing weights


 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  =  4

 OBSERVATIONS      1      1      1      1


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

    R* = value of reference standard



 FACTORS FOR REPEATABILITY STANDARD DEVIATIONS
 WT    K1
               1   1   1   1
  1  0.7071    +
  1  0.7071        +
  1  0.7071            +
  1  0.0000                +
  2  1.2247    +   +
  1  0.7071            +     


FACTORS FOR BETWEEN-DAY STANDARD DEVIATIONS
 WT    K2
               1   1   1   1
  1  1.4142    +
  1  1.4142        +
  1  1.4142            +
  1  0.0000                +
  2  2.4495    +   +
  1  1.4142            +     

Explanation of notation and interpretation of tables