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    Capability Interpretation

    Negative Cpk: Causes and Corrective Actions

    4 min read Last updated

    Cpk becomes negative when the process mean lies beyond one specification limit. Under a stable normal model, more than half of output is predicted beyond that nearest limit. Follow the applicable reaction plan rather than relying on the index alone.

    The engineering question this page answers

    The mean is outside spec. What do I contain, verify, and correct — in that order — before recalculating?

    What it means

    Cpk < 0 means the process mean is outside the nearest limit. Under the normal-model assumptions, more than 50% of output is predicted beyond that limit.

    Business impact

    The result signals a high risk of nonconforming output. Appropriate actions may include stopping shipment, containment, sorting, customer notification, and corrective action, depending on actual product risk and the governing reaction plan.

    Decision logic

    STOP shipment on the affected lot until containment is confirmed ↓ Verify MSA — bias or drift can fake a negative Cpk ↓ Verify the specification (USL/LSL, unit, sign convention) ↓ Confirm data belongs to a single stream (no cavity/spindle mix-up) ↓ If MSA and spec verified → real process shift; open 8D ↓ Re-center: offset, fixture, tool wear, setup, program datum ↓ Recompute Cpk on a new stable subset, not on the mixed old data

    Typical PPM and sigma equivalent

    • Typical PPM: > 500,000 PPM (more than half the output)
    • Sigma equivalent: < 0 (mean outside spec)

    Engineering procedure

    1. Trigger the customer-protection reaction plan (containment, sort, notify).
    2. Freeze all suspect parts, WIP, and finished-goods in a single lot.
    3. Run a same-day MSA on the gauge used for the study.
    4. Confirm USL/LSL against the drawing revision on file, not against the report.
    5. Segregate data by cavity, spindle, tool, and operator; recompute per stream.
    6. If the mean is truly outside spec, identify the shift mechanism (tool wear, offset drift, thermal, material lot).
    7. Apply the correction; run a short verification study before releasing production.
    8. Update the Control Plan reaction limits so the shift is detected earlier next time.

    Common mistakes

    • Calculating on the wrong spec (using nominal as a limit).
    • Sigma estimated from a tiny or non-stable sample.
    • Reversed USL/LSL in the report.

    Typical failure modes

    • Wrong nominal treated as a spec limit.
    • Gauge zeroed on a drifted master; every reading is biased.
    • Cavity or spindle mis-labeled — one lane is far off center, dragging the pooled mean.
    • Post-plate or post-heat-treat dimension analyzed against pre-treatment spec.
    • Data captured during setup or purge; the process was never at steady state.

    Engineering insight

    • Negative Cpk is almost never a "capability" problem — it is a containment and root-cause event.
    • A single reversed LSL/USL entry in the spec column reliably produces a large negative Cpk. Check the report before believing the process is dead.
    • Thermal expansion on the first hour of a machining shift commonly pushes the mean beyond spec until warm-up completes; the study should exclude that transient with a documented cause.

    When NOT to use this metric

    • Do not use Cpk to prioritize action here — priority is containment, not statistics.
    • Do not compute Cpk on the "recovered" data without a stability check first.

    Relationship to other capability metrics

    • A negative Cpk usually corresponds to Cp still being acceptable; the loss is 100% centering.
    • Cpk < 0 implies PPM(nearest) > 500,000 under the normal model — the process cannot be shipped without sort.

    Engineering notes

    • Never issue a corrective action based on a single Cpk value without confirming MSA and specification.
    • A negative Cpk that appears on Monday morning only is a warm-up problem, not a process problem.

    Continue the investigation

    Continue with Process Mean Outside Specification to diagnose the centering shift, and High Defect-Rate Process for the containment workflow.

    Verification checklist

    • Containment in place before any statistical action
    • MSA re-verified after the negative-Cpk trigger
    • Specification cross-checked against the current drawing revision
    • Streams (cavities/spindles/operators) separated in the recomputation
    • Root cause classified as spec, MSA, centering, or variation before corrective action

    Assumptions and applicability

    • Process condition: statistical stability is required.
    • Distribution assumption: approximately normal data.
    • PPM convention: nearest specification-limit tail.
    • Sigma-shift convention: no sigma shift applied.
    • Cpk alone identifies distance to the nearest specification limit; it does not determine total two-sided defects unless centering or both tail distances are known.
    • Predicted PPM is a model estimate, not a replacement for observed defect data.

    Sources and engineering references

    External engineering references used for this page. Qhubio applies these references to the practical guidance above.

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