4-2
Precise but
not accurate
Not accurate and
not precise
Accurate but
not precise
Accurate and
precise
Time
Time
Time
Time
Stable but
not accurate
Not stable and
not accurate
Accurate
(on the average)
but not stable
Stable and
accurate
0
f
f
f
f
Accuracy, Precision, and Stability
   The terms accuracy, stability, and precision are often used in describing an oscillator's quality.  Above is an illustration of the meanings of these terms for a marksman and for a frequency source.  (For the marksman, each bullet hole's distance to the center of the target is the "measurement.")  Accuracy is the extent to which a given measurement, or the average of a set of measurements for one sample, agrees with the definition of the quantity being measured.  It is the degree of "correctness" of a quantity. Reproducibility is the ability of a single frequency standard to produce the same frequency, without adjustment, each time it is put into operation.  From the user's point of view, once a frequency standard is calibrated, reproducibility confers the same advantages as accuracy.  Stability describes the amount something changes as a function of parameters such as time, temperature, shock, and the like.  Precision is the extent to which a given set of measurements of one sample agrees with the mean of the set.  (A related meaning of the term is used as a descriptor of the quality of an instrument, as in a "precision instrument."  In that context, the meaning is usually defined as accurate and precise, although a precision instrument can also be inaccurate and precise, in which case the instrument needs to be calibrated.)
   The military specification for crystal oscillators, MIL-PRF-55310D*, defines “Overall Frequency Accuracy” as “6.4.33 Overall frequency accuracy. The maximum permissible frequency deviation of the oscillator frequency from the assigned nominal value due to all combinations of specified operating and nonoperating parameters within a specified period of time. In the general case, overall accuracy of an oscillator is the sum of the absolute values assigned to the following:
a. The initial frequency-temperature accuracy (see 6.4.24).
b. Frequency-tolerances due to supply voltage changes (see 6.4.17) and other environmental effects
(see 6.4.12).
Total frequency change from an initial value due to frequency aging (see 6.4.11) at a specified temperature.”
   The International System (SI) of units for time and frequency (the second and Hz, respectively) are obtained in laboratories using very accurate frequency standards called primary standards. A primary standard operates at a frequency calculable in terms of the SI definition of the second**:  "the duration of 9,192,631,770  periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the cesium atom 133”.

*  MIL-PRF-55310, http://www.dscc.dla.mil/Programs/MilSpec/ListDocs.asp?BasicDoc=MIL-PRF-55310

** XIIIth General Conference of Weights and Measures, Geneva, Switzerland, October 1967