Testing & Quality Control

Replicate Statistics for a Lab Result

One reading is an anecdote. The CV% is whether the mean means anything.

Readings One row per specimen, in whatever unit you measured
no.

Only the first n readings below are used.

units
units
units
units
units
units
units
units
units
units
Against the method What the standard and the specification ask for
no.

ISO 13934-1 asks for five per direction; ISO 2062 asks for twenty or fifty.

units

Coefficient of Variation

— %

Scatter as a percentage of the mean - the number a testing house reads first

The Result and Its Uncertainty

Mean
— units
Standard Deviation (n-1)
— units
Range
— units
Standard Error of the Mean
— units
t Used for 95%
— no.
95% Confidence Half-Width
— units
Mean Could Be As Low As
— units
Lower Bound Minus Specification
— units
Specimens Short of the Method
— no.

The standard deviation is the sample form, dividing by n-1, because these specimens are a sample of the fabric and not the whole of it. The confidence half-width uses the t value for n-1 degrees of freedom rather than 1.96: at five specimens the correct interval is 42% wider than the normal approximation, and reporting the narrow one is the commonest error on a student worksheet. Read the lower bound against the specification, not the mean - a mean that clears the minimum with a lower bound beneath it has not demonstrated compliance.

Replicate Statistics for a Lab Result — free, with the formula and a worked example, at Textile School.