Zlt

For long-term data, ZLT = ZTOTAL, expressed as Zlt-total,

where

ZTOTAL =

Formula used in Zlt formula

and

Formula used in Zlt formula

is the inverse normal cumulative distribution function, which assumes a right-sided tail.

In Microsoft Excel:

Formula used in Zlt formula

When displaying long-term metrics, ZLT appears as Zlt-total. This metric is equal to Z-LSL if there is only a lower specification limit or Z-USL if there is only an upper specification limit.

For short-term data, ZLT = ZST - ZScoreShift. When displaying short-term metrics, ZLT appears in the capability metrics table as Zlt.

Note:

Z scores typically are reported only for normal data. The maximum value for Z scores calculated by Crystal Ball from forecast data is 21.18.