Process Capability

What Is Process Capability?

Process capability is a measure of how well a process can consistently meet specified limits or target requirements. Process capability analysis, also known as a process capability study, uses statistical techniques to determine how well a process can produce outputs that meet specified limits or target requirements. It evaluates process performance by comparing the natural variation of a process to the specification limits and generates key indices that help assess the capability of the process or system.

Process capability analysis helps identify whether processes are capable of consistently producing products within required tolerances, making it essential for quality control, process optimization, and continuous improvement.

Why Is Process Capability Important?

Process capability analysis is crucial across various industries for:

  • Evaluating process stability: Quantify process variation and control with indices such as Cp and Cpk to ensure processes stay within specified limits.
  • Minimizing defects: Identify key sources of variability and reduce defects, optimizing for cost-effective, high-quality production.
  • Optimizing performance: Use capability data to adjust processes for higher throughput and efficiency, ensuring consistent results with minimal interventions.

Process Capability Analysis Applications

Applications of process capability analysis include:

  • Manufacturing: Monitoring production line quality by calculating capability indices, ensuring manufactured components meet tolerance levels
  • Electronics and semiconductors: Assessing wafer production, optimizing component placement, and minimizing defects in circuit board or IC chip production
  • Aerospace and automotive: Ensuring that turbine blades, braking components, and other critical components meet strict performance and safety requirements by reducing variability in the machining process

Performing Process Capability Analysis with MATLAB

You can use MATLAB® to calculate process capability indices, create capability plots, perform normality testing, build custom apps, and automate your workflow.

Process Capability Indices

You can calculate Cp, Cpk, and other capability indices using the built-in capability function to assess the performance of your process:

capability_indices = capability(data, specLimits)

where:

  • data represents your process or system measurement data in the form of 1xN vector, where N is the number of data points.
  • specLimits is a 2x1 vector specifying the upper and lower spec limits.
  • capability_indices contains the capability indices such as Cp and Cpk in the form of a structure.

Capability Plotting

You can visualize process performance with interactive histograms, control charts, and box plots.

Screenshot of a process capability plot displaying a normal distribution with highlighted area representing the probability between specified control limits.

Process capability plot showing the probability between specified limits created using the capaplot function. (See MATLAB code.)

Screenshot of control charts used for process capability analysis featuring an X-bar chart and an R chart and highlighting data stability and potential violations.

X-bar and R control charts for monitoring process stability created using the controlchart function. (See MATLAB code.)

Normality Tests

You can check whether your process data follows a normal distribution using hypothesis tests such as the one-sample t-test (ttest) or the Anderson-Darling test (adtest). For non-normal data, fit alternative distributions such as Weibull, lognormal, and gamma or apply complex transformations or non-parametric methods prior to performing capability analysis.

Screenshot of a normal probability plot used for process capability analysis showing data points plotted against a theoretical normal distribution.

Normal probability plot assessing data distribution created using the normplot function. (See MATLAB code.)

Custom Apps and Automation

You can streamline and customize your workflow from analysis to report generation efficiently by building custom apps with App Designer or automating your analysis with MATLAB scripts. This approach enables you to perform statistical analysis, generate reports, and create data visualizations more efficiently.

Screenshot of a custom application interface featuring two graphs and custom controls for data import, regression analysis, forecasting, and economic evaluation.

Custom application for statistical analysis using App Designer.


See also: linear model, nonlinear model, probability distributions, manufacturing analytics, random number