International Organization for Standardization (ISO)
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ISO 16269-8:2004
Scope
This part of ISO 16269 specifies methods of determining prediction intervals for a single continuously
distributed variable. These are ranges of values of the variable, derived from a random sample of size n, for
which a prediction relating to a further randomly selected sample of size m from the same population may be
made with a specified confidence.
Three different types of population are considered, namely:
a) normally distributed with unknown standard deviation;
b) normally distributed with known standard deviation;
c) continuous but of unknown form.
For each of these three types of population, two methods are presented, one for one-sided prediction intervals
and one for symmetric two-sided prediction intervals. In all cases, there is a choice from among six confidence
levels.
The methods presented for cases a) and b) may also be used for non-normally distributed populations that
can be transformed to normality.
For cases a) and b) the tables presented in this part of ISO 16269 are restricted to prediction intervals
containing all the further m sampled values of the variable. For case c) the tables relate to prediction intervals
that contain at least m – r of the next m values, where r takes values from 0 to 10 or 0 to m – 1, whichever
range is smaller.
For normally distributed populations a procedure is also provided for calculating prediction intervals for the
mean of m further observations.
ISO 16269-8:2004 Referenced Document
ISO 3534-1 Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability
ISO 3534-2 Statistics - Vocabulary and symbols - Part 2: Applied statistics*, 2006-09-01 Update
ISO 16269-8:2004 history
2004ISO 16269-8:2004 Statistical interpretation of data - Part 8: Determination of prediction intervals