Prediction & analysis

Z-score

A z-score expresses how many standard deviations a value sits from the mean of its distribution, making deviations comparable across channels with different units and scales.

Why it matters

Without normalisation, the noisiest channel dominates every comparison. A z-score turns 'unusual' into a number that means the same thing on a gas channel and a pressure channel.

How it works

Subtract the channel's mean from the current value and divide by its standard deviation. Values beyond roughly two are conventionally treated as notable, though the right cut-off depends on how noisy the channel is and how costly a false alarm is.

Example

A reading three standard deviations above a node's own norm is unusual for that node regardless of the absolute figure.

In Alfa HazardX

Used to express baseline deviation, so 'unusual for this machine, in this room' is a measured quantity rather than a judgement.