Sample Size for Process Capability Studies: Minimum Requirements for Reliable Cpk
Sample size for process capability studies: the Cpk confidence interval formula, AIAG/ISO/Bosch standards, and worked numbers from n=30 to n=200.
Sample size for process capability studies: the Cpk confidence interval formula, AIAG/ISO/Bosch standards, and worked numbers from n=30 to n=200.
Step-by-step calculation of p-chart control limits with a worked PCB inspection example. Covers the variable sample size problem (exact, average-n, and standardized approaches), the np>=5 minimum, and the Laney p-prime chart for overdispersion.
When and how to use the I-MR (Individual Moving Range) control chart. Covers the five scenarios requiring individual charts, a complete worked example with control limit formulas (d2=1.128, D4=3.267), normality assumptions, and sensitivity comparison vs. X-bar R.
Step-by-step worked example for building an X-bar and R control chart from CNC manufacturing data. Includes A2, D3, D4 constants for n=5, control limit formulas, pattern rule application, and Cpk calculation.