Statistical calculations
The statistical calculation and interpretation
Performance values are calculated in three steps to get rid of
outliers or typing errors.
Step 1
All the data are used to calculate the mean, standard deviation (SD)
and standard normal deviate (Z).
A performance interpretation is then assigned to the data from the
range:
A for Z-values between -1 and 1
B for Z-values between -1 and -2 or between 1 and 2
C for Z-values between -2 and -3 or between 2 and 3
D for Z-values between -3 and -4 or between 3 and 4
E for Z-values between -4 and -5 or between 4 and 5
>E for Z-values less than -5 or greater than
5
Step 2
Only the data in the A performance range are used to re-calculate the
mean, standard normal deviate and performance. These are reported
as the 'Adjusted' values.
Step 3
The final calculation of the mean, standard deviation from data in the
A performance range in the adjusted data. These values are reported as
'Final'
Interpretation
Performances not in the A range, indicates a result out of line with
the other participants, maybe something wrong with their method,
apparatus or reagents, etc.
The standardised normal deviate (Z) is unitless and results can be
graphed over time for trend analysis purposes
Labs should strive for performances between -1 and +1 and to keep the
fitted performance line parallel to the base. Upwards or downwards
trends indicate change over time and should be corrected