Methods and formulas for overall benchmark Zs in Between/Within Capability Analysis

Z.LSL Z.USL Z.Bench for overall capability

Benchmark Z statistics for overall capability are calculated by finding the Z value using the standard normal (0,1) distribution for the corresponding statistics.

where:

Notation

TermDescription
LSLLower specification limit
USLUpper specification limit
Φ (X) Cumulative distribution function (CDF) of a standard normal distribution
Φ-1 (X)Inverse CDF of a standard normal distribution
Overall standard deviation
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