c chart

**c Chart** is a control chart for monitoring the count of defects in inspection units of constant size, where multiple defects can occur per unit. ## What Is a c Chart? - **Metric**: Total count of defects (c) per inspection unit - **Requirement**: Constant inspection unit size (area, length, volume) - **Distribution**: Poisson distribution assumption - **Key Difference**: Counts defects, not defective units ## Why c Charts Matter When products can have multiple defects (scratches on a panel, voids in a weld), c charts track total defect count rather than simple pass/fail. ``` c Chart Example (Solder defects per PCB): Average defects per board: c̄ = 4.5 Center Line: c̄ = 4.5 UCL = c̄ + 3√c̄ = 4.5 + 3√4.5 = 10.9 LCL = c̄ - 3√c̄ = 4.5 - 6.4 = 0 (use 0) Sample data: 5, 3, 4, 6, 12*, 4, 3, 5, 2, 4 ↑ Out of control (>10.9) ``` **c Chart Applications**: - Defects per wafer in semiconductor fab - Paint blemishes per car body panel - Errors per 1000 lines of code - Surface defects per square meter of film

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