Degrees
of Freedom for Type B Uncertainty Estimates
For some measurement uncertainty estimates, we may not have a sample of data to work from.
In these cases, we need to estimate uncertainty using our technical experience and knowledge. An uncertainty estimate obtained in this way is called a Type B estimate.
The
built-in Type B Degrees of Freedom Calculator is a tool that helps organize our experience and knowledge in such a way that a Type B
uncertainty estimate is obtained in a straightforward and unambiguous manner.
In addition to taking some of the mystery out of obtaining Type B uncertainty estimates,
this tool also computes the associated degrees of freedom. This means that Type B
uncertainty estimates can be used as statistics, just like Type A estimates.
The
Type B Degrees of Freedom Calculator can be accessed from all
UncertaintyAnalyzer screens and worksheets that deal with the estimation
of Type B uncertainties. The four formats for assembling
information are described below.
% of Values
This format reads
“Approximately C % ± DC % of measured values have been observed to lie within the limits ± L ± DL..”
The format accommodates cases where the best available information consists of a set of error containment limits (± L) and a containment probability (C %). The 'quality' of the information can be accounted for by indicating 'give-or-take' values for both the containment limits (± DL) and the containment probability (± DC %).
Range of Values
This format reads “Between A % and B % of measured values have been observed to lie within the limits ± L ± DL. “
This format is a variation of the first format in which a range of values is given for the containment probability. The quality of the information can be accounted for by the extend of the containment probability range (A % - B %) and by indicating a 'give-or-take' value DL for the containment limits.
X out of N
This format reads “Approximately X out of N measured values have been observed to lie within the limits ± L ± DL.”
This format is useful when a variable or the error in a variable can be said to lie within ± containment limits in X out of N cases. The quality of the information can be accounted for by indicating a 'give-or-take' value DL for the containment limits.
% of Cases
This format reads “Approximately C % of N measured values have been observed to lie within the limits ± L ± DL.”
This format is useful when a variable or the error in a variable can be said to lie within ± containment limits in C% out of N cases. The quality of the information can be accounted for by indicating a 'give-or-take' value DL for the containment limits. |