7 Key SPC Tests

In Statistical Process Control (SPC), the commonly used “7 Tests” (also called Western Electric / Nelson-style rules) help detect non-random patterns in control charts—especially useful in your IMR charts or process stability analysis.

Test 1: One point beyond control limits

  • Rule: Any single point outside UCL or LCL

  • Meaning: Strong signal of special cause variation

  • 👉 Immediate investigation required

Test 2: 7 points in a row on one side of the mean

  • Rule: All 7 consecutive points are above or below the center line

  • Meaning: Process shift has occurred

Test 3: 7 points in a row trending up or down

  • Rule: Continuous increase or decrease

  • Meaning: Systematic trend (e.g., tool wear, learning effect)

Test 4: 14 points alternating up and down

  • Rule: Strict zig-zag pattern

  • Meaning: Over-adjustment / tampering in process

Test 5: 2 out of 3 points beyond 2σ (same side)

  • Rule: 2 of 3 consecutive points fall beyond 2 standard deviations

  • Meaning: Early warning of process shift

Test 6: 4 out of 5 points beyond 1σ (same side)

  • Rule: 4 of 5 consecutive points beyond 1 standard deviation

  • Meaning: Moderate signal of non-random behaviour

Test 7: 15 points within 1σ of mean (both sides)

  • Rule: All 15 points are very close to the mean

  • Meaning: Reduced variation / possible data manipulation / stratification

SUMMARY TABLE

SAMPLE GRAPHS