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Control charts are a vital tool in statistical process control (SPC), used across various industries to monitor and control processes. By graphically displaying data over time, control charts help detect variations in a process and differentiate between common cause variation (inherent in the system) and special cause variation (due to external factors)

Understanding and using control charts effectively can lead to improved product quality, optimized processes, and enhanced decision-making.


History and Development

Control charts were first developed by Dr. Walter A. Shewhart in the 1920s while working for Bell Labs. He introduced these charts to monitor the consistency of manufacturing processes, thus ensuring product quality. Later, W. Edwards Deming popularized Shewhart's work, integrating it into modern quality control practices and emphasizing its importance in continuous improvement.


Purpose and Benefits of Control Charts

The main purpose of control charts is to track process stability and performance over time. They offer several benefits:

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Structure of a Control Chart

A control chart typically consists of three components:

  1. Central Line (CL): Represents the average or mean of the process data.
  2. Upper Control Limit (UCL): Set at +3 standard deviations from the mean.
  3. Lower Control Limit (LCL): Set at -3 standard deviations from the mean.

The process data is plotted over time, and the limits help determine whether the process is in control (within limits) or out of control (outside limits).


Types of Control Charts

Control charts are classified based on the type of data being monitored: variables (continuous data) and attributes (discrete data).

  1. Control Charts for Variables
    These charts track measurements on a continuous scale, such as length, weight, temperature, or time.
    • X̅ (X-bar) and R Chart: Used when subgroup sample sizes are small (typically 2-10). The X̅ chart monitors the process mean, while the R chart tracks the range of variability within subgroups.
    • X̅ and S Chart: Applied for larger subgroup sample sizes (>10). The X̅ chart monitors the mean, while the S chart tracks the standard deviation of the subgroups.
    • Individuals (I) and Moving Range (MR) Chart: Suitable for processes where only single data points are available. The I chart tracks individual values, and the MR chart plots the range of variation between consecutive data points.
  2. Control Charts for Attributes
    These charts handle data that are categorical or count-based, often related to defects or failure rates.
    • P Chart: Monitors the proportion of defective units in a sample.
    • NP Chart: Tracks the number of defective units in a sample.
    • C Chart: Used to monitor the count of defects per unit when the sample size is constant.
    • U Chart: Similar to the C chart but used when the sample size is variable, tracking defects per unit.

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Interpreting Control Charts

Once data is plotted on the chart, it’s crucial to interpret it to understand process behavior. The following rules help identify whether a process is in control or requires investigation:

  1. Points Outside Control Limits: A data point outside the UCL or LCL indicates a special cause of variation.
  2. Run of Points on One Side of the Central Line: If several consecutive points lie on one side of the central line, it suggests a process shift.
  3. Trends: A consistent upward or downward trend in the data may indicate a change in the process.
  4. Cycles or Patterns: Repeated patterns of data could signify a systematic issue in the process.
  5. Hugging the Control Limits: Data points closely clustered around the UCL or LCL suggest reduced variability but may also indicate a lack of adjustment.


Implementing Control Charts

To successfully implement control charts in any process, follow these steps:

  1. Define the Process: Determine the key process parameter you want to monitor.
  2. Select the Right Control Chart: Choose the appropriate control chart based on the type of data (variables or attributes).
  3. Collect Data: Gather a sufficient amount of process data to establish the control limits.
  4. Plot the Data: Graph the data points on the control chart over time.
  5. Monitor and Interpret: Continuously monitor the chart, watching for any signs of out-of-control conditions.
  6. Take Action: If special causes of variation are detected, investigate and take corrective action.

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Case Study Example: Manufacturing Process Control

Consider a manufacturing plant producing plastic bottles. The bottle weight is a critical quality attribute, and an X̅ and R chart is chosen to monitor the process.

  • Step 1: The team collects the weight of 5 bottles at different intervals during the shift.
  • Step 2: Data is plotted on the X̅ and R chart, where the X̅ chart monitors the average weight and the R chart tracks the range of variation.
  • Step 3: After several hours, a point on the X̅ chart falls below the LCL, signaling an out-of-control condition.
  • Step 4: Investigation reveals that a machine calibration issue caused the weight discrepancy. After recalibrating, the process returns to normal.

By using control charts, the plant minimized product defects, reduced downtime, and improved product consistency.

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Common Pitfalls in Using Control Charts

Despite their effectiveness, control charts can sometimes be misapplied:

  • Insufficient Data: Small sample sizes can lead to incorrect control limits and misleading interpretations.
  • Ignoring Common Causes: Treating common cause variation as a special cause can result in unnecessary adjustments and inefficiencies.
  • Overreaction to Outliers: Isolated points outside control limits should be investigated, but overreaction without proper analysis can lead to process disruption.


Control Charts in Continuous Improvement

Control charts are indispensable in continuous improvement methodologies such as Lean Six Sigma. By monitoring process performance, teams can identify bottlenecks, reduce variation, and drive improvements. They serve as a baseline for measuring process changes, ensuring that any improvements are sustained over time.


Conclusion

Control charts are powerful tools for monitoring process stability and performance, aiding in quality control and process optimization. By properly selecting, interpreting, and acting on control chart data, organizations can enhance product quality, reduce costs, and foster continuous improvement. When combined with other SPC tools, control charts become an essential part of a robust quality management system.


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