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

2.3.4.1.9.

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

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


 OBSERVATIONS   5   2   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)                          +   -


 RESTRAINT      +   +   +   +

 CHECK STANDARD                     +


 DEGREES OF FREEDOM  =  4



                                SOLUTION MATRIX
                                 DIVISOR =  60

 OBSERVATIONS      5      2      2      1      1      1      1


    Y(1)          12      0      0    -12      0      0      0
    Y(2)           6     -4     -4      2    -12      3      3
    Y(3)           6     -4     -4      2      3    -12      3
    Y(4)           6     -4     -4      2      3      3    -12
    Y(5)          -6     28    -32     10     -6     -6     -6
    Y(6)          -6    -32     28     10     -6     -6     -6
    Y(7)           6      8      8    -22     -6     -6     -6
    Y(8)           0      0      0      0     15    -15      0
    Y(9)           0      0      0      0     15      0    -15
    Y(10)          0      0      0      0      0     15    -15
    R*            30     12     12      6      6      6      6

    R* = sum of the four reference standards




 FACTORS FOR REPEATABILITY STANDARD DEVIATIONS
 WT  FACTOR
               5   2   2   1   1   1   1
  5  0.3162    +
  2  0.7303        +
  2  0.7303            +
  1  0.4830                +
  1  0.4472                    +
  1  0.4472                        +
  1  0.4472                            +
  2  0.5477                    +   +
  3  0.5477                    +   +   +
  1  0.4472                        +


 FACTORS FOR BETWEEN-DAY STANDARD DEVIATIONS
 WT  FACTOR
               5   2   2   1   1   1   1
  5  1.0000    +
  2  0.8718        +
  2  0.8718            +
  1  0.9165                +
  1  1.0198                    +
  1  1.0198                        +
  1  1.0198                            +
  2  1.4697                    +   +
  3  1.8330                    +   +   +
  1  1.0198                        +

Explanation of notation and interpretation of tables

Home Tools & Aids Search Handbook Previous Page Next Page