Next Page Previous Page Home Tools & Aids Search Handbook
2. Measurement Process Characterization
2.3. Calibration
2.3.4. Catalog of calibration designs
2.3.4.1. Mass weights

2.3.4.1.11.

Design for 5,3,2,1,1,1,1

Design 5,3,2,1,1,1,1


 OBSERVATIONS   5   3   2   1   1   1   1


     Y(1)       +   -   -
     Y(2)       +   -       -   -
     Y(3)       +   -               -   -
     Y(4)       +       -   -   -   -
     Y(5)       +       -   -   -       -
     Y(6)       +       -   -       -   -
     Y(7)       +       -       -   -   -
     Y(8)           +   -   -
     Y(9)           +   -       -
     Y(10)          +   -           -
     Y(11)          +   -               -


 RESTRAINT      +   +   +

 CHECK STANDARD                     +


 DEGREES OF FREEDOM  =  5



                             SOLUTION MATRIX
                              DIVISOR =  40

 OBSERVATIONS      5      3      2      1      1      1      1


    Y(1)          20     -4    -16     12     12     12     12
    Y(2)           0     -4      4     -8     -8      2      2
    Y(3)           0     -4      4      2      2     -8     -8
    Y(4)           0      0      0     -5     -5    -10     10
    Y(5)           0      0      0     -5     -5     10    -10
    Y(6)           0      0      0    -10     10     -5     -5
    Y(7)           0      0      0     10    -10     -5     -5
    Y(8)           0      4     -4    -12      8      3      3
    Y(9)           0      4     -4      8    -12      3      3
    Y(10)          0      4     -4      3      3    -12      8
    Y(11)          0      4     -4      3      3      8    -12
    R*            20     12      8      4      4      4      4

    R* = sum of the three reference standards




 FACTORS FOR REPEATABILITY STANDARD DEVIATIONS
 WT  FACTOR
               5   3   2   1   1   1   1
  5  0.5000    +
  3  0.2646        +
  2  0.4690            +
  1  0.6557                +
  1  0.6557                    +
  1  0.6557                        +
  1  0.6557                            +
  2  0.8485                +   +
  3  1.1705                +   +   +
  4  1.3711                +   +   +   +
  1  0.6557                        +


 FACTORS FOR LEVEL-2 STANDARD DEVIATIONS
 WT  FACTOR
               5   3   2   1   1   1   1
  5  0.8660    +
  3  0.8185        +
  2  0.8485            +
  1  1.0149                +
  1  1.0149                    +
  1  1.0149                        +
  1  1.0149                            +
  2  1.4560                +   +
  3  1.8083                +   +   +
  4  2.1166                +   +   +   +
  1  1.0149                        +

Explanation of notation and interpretation of tables

Home Tools & Aids Search Handbook Previous Page Next Page