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2. Measurement Process Characterization
2.2. Statistical control of a measurement process
2.2.3. How is short-term variability controlled?

2.2.3.2.

Data collection

Case study: Resistivity A schedule should be set up for making measurements with a single instrument (once a day, twice a week, or whatever is appropriate for sampling all conditions of measurement).
Short-term standard deviations The measurements are denoted

Y(kj)(K=1,...,K;j=1,...,J)

where there are J measurements on each of K occasions. The average for the kth occasion is:

YBAR(k.) = (1/J)*SUM[j=1 to J][Y(kj)]

The short-term (repeatability) standard deviation for the kth occasion is:

s1 = SQRT((1/(J-1))*SUM[j=1 to J][(Y(kj-YBAR(k.))**2])

with (J-1) degrees of freedom.

Pooled standard deviation The repeatability standard deviations are pooled over the K occasions to obtain an estimate with K(J - 1) degrees of freedom of the level-1 standard deviation

s1 = SQRT((1/K)*SUM[k=1 to K][s1(k)**2])

Note: The same notation is used for the repeatability standard deviation whether it is based on one set of measurements or pooled over several sets.

Database The individual short-term standard deviations along with identifications for all significant factors are recorded in a file. The best way to record this information is by using one file with one line (row in a spreadsheet) of information in fixed fields for each group. A list of typical entries follows.
  1. Identification of test item or check standard
  2. Date
  3. Short-term standard deviation
  4. Degrees of freedom
  5. Instrument
  6. Operator
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