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

2.3.4.1.16.

Design for 1,1,1,1,1,1,1,1 weights

 OBSERVATIONS   1   1   1   1   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)          +                   -
     Y(12)          +                       -


 RESTRAINT      +   +

 CHECK STANDARD                         +

 
DEGREES OF FREEDOM  =  5



                             SOLUTION MATRIX
                               DIVISOR = 12

 OBSERVATIONS      1      1      1      1      1      1      1      1

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

    R* = sum of the two reference standards


 FACTORS FOR REPEATABILITY STANDARD DEVIATIONS

  WT   K1      1   1   1   1   1   1   1   1
  1  0.2887    +
  1  0.2887        +
  1  0.7071            +
  1  0.7071                +
  1  0.7071                    +
  1  0.7071                        +
  1  0.7071                            +
  1  0.7071                                +
  2  1.0000            +   +
  3  1.2247            +   +   +
  4  1.4142            +   +   +   +
  5  1.5811            +   +   +   +   +
  6  1.7321            +   +   +   +   +   +
  1  0.7071                            +


 FACTORS FOR BETWEEN-DAY STANDARD DEVIATIONS

  WT   K2      1   1   1   1   1   1   1   1
  1  0.7071    +
  1  0.7071        +
  1  1.2247            +
  1  1.2247                +
  1  1.2247                    +
  1  1.2247                        +
  1  1.2247                            +
  1  1.2247                                +
  2  2.0000            +   +
  3  2.7386            +   +   +
  4  3.4641            +   +   +   +
  5  4.1833            +   +   +   +   +
  6  4.8990            +   +   +   +   +   +
  1  1.2247                            +
                                                              

Explanation of notation and interpretation of tables

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