Uncertainty and Error Flashcards
An estimate of the range within which the error lies either side of the
actual value.
UNCERTAINTY
Expresses the margin of
uncertainty associated with a
measurement
Absolute uncertainty
Compares the size of the
absolute uncertainty with the
size of its associated
measurement.
Relative uncertainty
=ABSOLUTE UNCERTAINTY/MAGNITUDE OF MEASUREMENT
Relative Uncertainty
100xRelative Uncertainty
Percent Relative Uncertainty
the uncertainty in the
answer is obtained from
the absolute
uncertainties of the
individual terms as
follows:
Addition and
Subtraction
e4=SRe1^2+e2^2+e3^2
Addition and Subtraction
- convert all uncertainties
into percent relative
uncertainties
- convert all uncertainties
- calculate the error of the
product or quotient as
follows:
- calculate the error of the
Multiplication
and Division
▪ the difference between a single
observed value and the sample
mean, (𝑥 − 𝑥𝑖 ) and has both sign and
units
▪ can provide a useful comparison
between successive individual values
within a set of measurements,
particularly when presented visually
in the form of a residual plot.
RESIDUALS
- refers to the consistency
between individual values
amongst a set of replicate
measurements performed by
the same person, at the same
time on the same sample,
using the same method
REPEATABILITY
■ refers to the consistency of a
method as used by different
analysts, laboratories, and/or
REPRODUCIBILITY
■ describes the precision of
within-run replicates.
REPEATABILITY
The reproducibility of a
method is normally expected
to be poorer (i.e. with larger
random errors) than its
repeatability.
REPRODUCIBILITY
■ describes the precision of
between-run replicates.
REPRODUCIBILITY