What are Cm and Cmk?

Cm and Cmk are measurements of machine capability. Machine capability is the ability of a machine to produce parts within tolerance limits. Machine is a common source of variation in a process. Machine variation describes short-term, part-to-part variation from the same machine, with the same operator, under the same conditions.

Use Cm to evaluate the potential capability of a machine based on the spread. Use Cmk to evaluate the potential capability of a machine based on both the location and spread. Potential capability indicates the capability that could be achieved if shifts and drifts were eliminated.

How are Cm and Cmk different from Cp and Cpk?

The formulas for Cm and Cmk are the same as the formulas for Cp and Cpk. However, Cm and Cmk are different from capability Cp and Cpk because the data collection is different. To calculate Cm and Cmk, the data vary only because of variation from the measurement process and the variation from the standard operation of a single machine. To calculate Cp and Cpk, the data include sources of variation from the entire process, such as materials, operator, and environment.

How do you collect data to calculate Cm and Cmk?

The procedure for a machine capability study depends on your application. Usually, the data collection includes 20 to 50 measurements on consecutive parts from a single machine. Larger sample sizes usually produce more precise estimates of machine capability. Consult industry experts to determine best practices for the data collection in your application.

How do you find Cm and Cmk in Minitab Statistical Software?

To evaluate machine capability, produce Cp and Cpk. Then, interpret Cp as Cm and Cpk as Cmk. The following analyses provide Cp and Cpk for data that follow a normal distribution in Minitab Statistical Software:
  • Stat > Quality Tools > Capability Analysis > Normal
  • Stat > Quality Tools > Capability Analysis > Multiple Variables (Normal)
  • Stat > Quality Tools > Capability Sixpack > Normal

How do you interpret Cm and Cmk?

Generally, higher values indicate a more capable machine. Lower values indicate that your machine may need improvement.
  • Compare Cm and Cmk with a benchmark that represents the minimum value that is acceptable for your machine. Many industries use a benchmark value of 1.67. The benchmark for machine capability is usually higher than the benchmark for the process. If the value of Cm or Cmk is lower than your benchmark, consider ways to improve your machine, such as reducing its variation or shifting its location.
  • Compare Cm to Cmk. If Cm and Cmk are approximately equal, then the machine is centered between the specification limits. If Cm and Cmk differ, then the machine is not centered.