Besides the well-established LoD and LoQ as measures of detection ability of a procedure, laboratories are increasingly often required to establish also the decision threshold (CCalpha) and detection capability (CCbeta) for their procedures. There is still quite some confusion how that should be done. I post here a short slideshow explaining the logic of calculating these quantities: CC_alpha_CC_beta.ppt
All questions and comments are welcome!
As seen in slide 4, the CCbeta is understood as a false negative, the the worst type of error between these two. But, as seen on slide 6, according to legislation the CCalpha is is more strictly controlled than CCbeta. The error can be set as low as 1% in the case of CCalpha (the less potentially dangerous), but on the other hand, the error of CCbeta (the more potentially dangerous) is regulated more loosely – only 5%.
It seems that it should be the other way around from the legislation point of view to prevent potentially more dangerous hazards.
There is no contradiction here. Even at 0.05 (i.e. 5%) level the actual value of CCbeta is significantly larger than CCalpha. Thus, the actual value to compare with is in any case larger in the case of CCbeta.
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