Laboratory Operations, quick reference 2 of 10
02 / 10 · Laboratory Operations
Common QC rule violations
Six statistical rules and the limits of their interpretation
In quality control (QC), each control result is compared with its established mean and standard deviation (SD), a measure of usual variation. Random error widens the scatter around the mean. Systematic error shifts results to one side of the mean. The patterns below suggest which type to investigate.1
Vertical position = (result − mean) ÷ SD, using each level's own target. Lines: mean (0), ±1, ±2, ±3 SD. A square marks each result that meets the named rule.
12s
One result beyond ±2 SD.
In the classic scheme this is a warning. Check the selected rejection rules.
13s
One result beyond ±3 SD.
Reject the run and investigate random error first.
22s
Two in a row beyond +2 SD, or two in a row beyond −2 SD.
Reject the run and investigate possible systematic error.
R4s
One > +2 SD, one < −2 SD, in one run.
The two levels are 4.8 SD apart. Reject the run. This pattern suggests random error.
41s
Four in a row beyond +1 SD, or four in a row beyond −1 SD.
Reject the run and investigate possible systematic error.
10x
Ten consecutive on one side of the mean.
Reject the run and investigate possible systematic error.
Examples use one level across runs, except R4s (two levels, one run). The 22s rule also applies across levels within a run. The 41s and 10x rules can span levels and runs as the QC plan specifies.2
Warning and rejection
In the classic Westgard scheme, 12s is a warning to check the rejection rules. Plans that evaluate every rule directly can detect the 41s and 10x examples here even though no result exceeds 2 SD.1,2
Respond to a rejection
Stop reporting affected patient results. Use the adopted QC plan to investigate controls, reagents, calibration, and instrument performance. After correction and acceptable QC, assess which patient results need review or repeat testing. An acceptable repeat control result does not identify the cause of the original failure.2