Analysis of the total allowable error (TEa) can help a laboratory meet its goals for precision performance.
Variables
laboratory mean =
= mean at laboratory for period of stability in reagents & controls
"true" mean =
= mean for all methods & laboratories
laboratory standard deviation =
= standard deviation noted at laboratory
method standard deviation =
= standard deviation reported by vendor
CLIA limit
(1) given as a range, either using a percent or an absolute value
(2) if both specified, use whichever is greater
Calculations
calculated bias =
= laboratory's deviation (based on site and method) from mean of all sites =
= ((laboratory mean) - (true mean))
laboratory imprecision =
= (factor) * (laboratory standard deviation)
where:
• factor is 1.96 for 95%
• factor is 2.50 for 99%
Total allowable error = TE a =
= ((CLIA limit) * (true mean))
bias as percent of CLIA limit =
= ((calculated bias) / ((CLIA limit) * (true mean))) =
= (((laboratory mean) - (true mean)) / (total allowable error)) =
= ( ((laboratory mean) - (true mean)) / ((CLIA limit) * (true mean)))
total error =
= calculated bias + imprecision =
= (((laboratory mean) - (true mean)) + (laboratory imprecision))
= ( ((laboratory mean) - (true mean)) + ((factor) * (laboratory standard deviation)))
assessment of performance =
= (total error) / (total allowable error) * 100 =
= (((laboratory mean) - (true mean))+ (laboratory imprecision)) / (((CLIA limit) * (true mean)))* 100 =
= (((laboratory mean) - (true mean))+ (1.96 * (laboratory standard deviation))) / (((CLIA limit) * (true mean))) * 100
systemic error (critical) = SE c =
= ( ( ( (total allowable error) - (calculated bias) ) / (laboratory standard deviation) ) - 1.65) =
= ( ( ( ((CLIA limit) * (true mean)) - ((laboratory mean) - (true mean))) / (laboratory standard deviation)) - 1.65)
Use the systemic error for selection of QC control rules to use
standard deviation to use =
= ((calculated standard deviation) * ((denominator of primary rule) / 2))
Example: If using 1:3s rule, where the denominator = 3
standard deviation to use =
= (laboratory standard deviation) * (3 / 2) = 1.5 * (laboratory standard deviation)
ICD-10: ,