Symbols and Denominations

These are the symbols and denominations used in the software GUI.

Symbols

Description

CL

Center line

Cp

Process capability index

Cpk

Minimum process capability index

k

Number of subgroups

LCL

Lower control limit

LSL

Lower specification limit for the product

n

Subgroup sample size

N

Total number of observations

R

Range of the subgroup observations: difference between the largest and smallest observed value

Arithmetic average of the R values for the subgroups

s

Sample standard deviation within the subgroup

St

Sample (total/overall) standard deviation

σ

Standard deviation for the population from which samples are taken

σ̂

Estimated standard deviation for the population from which samples are taken

σt

Estimated (total/overall) standard deviation

UCL

Upper control limit

USL

Upper specification limit for the product

X

Measured quality characteristic value, different observed values denoted with X1, X2 .., XN

̅X̅

Arithmetic average of subgroup sample observations

̿X̿

Total arithmetic average of the sample observations