Six Sigma Quality Parameters


Six Sigma Quality Parameters

Six Sigma quality parameters are essential for measuring the quality of a product or service. In this blog post, we will introduce you to six sigma quality and explain each parameter in detail. Once you understand what each parameter means, you can use them to improve the quality of your products and production.

What is Six Sigma Quality and Why Is It Important

Six Sigma has revolutionized the way many organizations approach quality control, and has become an integral part of many production processes. It is a methodology that seeks to reduce defects and errors in manufacturing by improving processes, eliminating variability, and increasing efficiency. Six Sigma focuses on reducing variation in production processes and products, thereby improving the overall quality of the end product or service. The six sigma methodology combines statistical analysis with process management principles to identify areas for improvement while reducing waste and cost.

This helps organizations identify problems quickly, diagnose root causes of failure accurately, and improve manufacturing. Through this approach, six sigma can provide significant cost savings for companies in terms of improved process efficiencies, reduced cycle times, and improved profitability.

Overall six sigma is a powerful tool that can help any organization become more efficient, effective, and profitable if used correctly. It provides businesses with a systemized approach to identify opportunities for improvement as well as measure the success of any changes made along the way.

Mean – An Overview of the Average

The mean, also known as the arithmetic mean, is a six sigma quality parameter used to measure the overall quality of a product or a performance indicator of the product. It is calculated by summing up all values in a dataset and then dividing them by the number of observations. Defined as below: 

\bar(x) = \frac{1}{N} \sum^N_{i=1}x_i $$

The mean is used to determine the average value within a set of data and is an important indicator of the central tendency in a dataset. Normally you want your mean performance in the middle between you specification limits given your performance is distributed as a normal distribution also know as a bell curve.

Standard Deviation (STD) – Understanding Variation

Standard deviation (STD) is a six sigma quality parameter used to measure the amount of variability or dispersion from the average value in a dataset. This is accomplished by taking the square root of the variance: a measure of how far each value in a dataset deviates from the mean. 

$$ \sigma = \sqrt{\frac{1}{N}\sum_{n=1}^N(x_i-\bar{x})^2} $$

The standard deviation provides an accurate representation of how much variation there is in a dataset. Ideally you want your STD to be much lower than your specification limits. As if the STD is close to the specification limits you will have a lot of errors due to the nature of normal distributions.

Lower Specification Limit (LSL) and Upper Specification Limit (USL)– Setting Boundaries for Performance

Lower Specification Limit (LSL) and Upper Specification Limit (USL) are two six sigma quality parameters that set boundaries for performance. LSL is the minimum acceptable value of a products performance, while USL is the maximum acceptable value. These limits are determined by your own standards and goals and should be used as benchmarks to measure performance. By setting these limits, you can ensure you achieve consistent results in your product performance.

Typically you will have multiple LSL and USL for different performance benchmarks and not only a single benchmark. However this is completely up to the product tested. For a fan you could benchmark vibration, energy consumption and flow. While for a heat pump it could be e.g. COP.

Lower Control Limit (LCL) and Upper Control Limit (UCL) – Maintaining Consistency in Quality Outputs

Lower Control Limit (LCL) and Upper Control Limit (UCL) are two six sigma quality parameters that help maintain consistency in the quality of a product or service. These limits define the acceptable boundaries for performance, ensuring that any deviation from these values is detected quickly and corrected. The LCL defines the minimum acceptable value of a product, while the UCL defines its maximum acceptable value. 

$$ LCL = \bar{x} - 3 * \sigma $$ $$ UCL = \bar{x} + 3 * \sigma $$

By setting these limits and monitoring their adherence, companies can ensure consistent results in their products. Typically LCL and UCL are specified as 3 times the STD but this is can be up to your standard.

Cp & Cpk - Measuring Process Capability

Cp and Cpk are two six sigma quality parameters that measure the capability of a process. These metrics indicate how well a process is performing relative to its specifications or goals. They also help identify areas for improvement, allowing organizations to make changes that will improve their overall product quality. 

Cp measures the difference between the average performance of a process and its specification limits.  

$$ c_p = \frac{USL - LSL}{6*\sigma}$$

Cpk measures how close the average performance is to its target value. By monitoring these metrics, businesses can ensure consistent results in their products and services.

$$ c_{cpk} = min \biggl( \frac{USL-\bar{x}}{3*\sigma},\frac{\bar{x}-LSL}{3*\sigma}\biggr)$$