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Definition of Uncertainty: Types of Uncertainty

Expanded uncertainty

is the standard uncertainty multiplied by a coverage factor, k,

such that the statement of the expanded uncertainty gives a higher probability that the

correct value lies within the range of the stated uncertainty.

Often the expanded uncertainty is given the symbol U such that

U = k u

Accuracy and Uncertainty Considerations in Modern Radiation Oncology,

The Modern Technology of Radiation Oncology, J. Van Dyk, 2013

Generally

k

> 1

.

For

k

equal to 1, 2, or 3, there is approximately a 67%, 95%, or 99% probability,

respectively, that

the true value

lies between

±

U of the measured mean value

.

Often we will see uncertainties quoted, for example, “at the

k

2 level” or “with

k

= 2”.