Description

Some algorithms reference decisions based on a multiple of the upper limit of normal (ULN). This can be converted to a Z score.


Situation: elevated laboratory result

upper limit of normal =

= (mean) + ((multiplier) * (standard deviation))

 

where:

The multiplier is often 2.5.

If the mean and standard deviation for a test are not known, then they can be derived from the upper and lower limits of normal if results show a Gaussian distribution.

 

Z score =

= ((value) - (mean)) / (standard deviation)

 

To convert a multiple of the upper limit of normal to a Z score:

 

Z score =

= (((multiplier) * (upper limit of normal)) - (mean)) / (standard deviation)


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