# Tag: Nonnormal data

## Tips for Recognizing and Transforming Non-Normal Data

Published:Six Sigma professionals should be familiar with normally distributed processes: the characteristic bell-shaped curve that is symmetrical about the mean, with tails approaching plus and minus infinity (Figure 1). When data fits a normal distribution, practitioners can make statements about the population using common analytical techniques, including control charts and capability indices (such […]

Read more ยป## Making Data Normal Using Box-Cox Power Transformation

Published:Normally distributed data is needed to use several statistical analysis tools, such as individual control charts, Cp/Cpk analysis, t-tests, and analysis of variance (ANOVA). When data is not normally distributed, the cause for non-normality should be determined and appropriate remedial actions should be taken. (An introduction to remedial actions for non-normal data can […]

Read more ยป## Dealing with Non-normal Data: Strategies and Tools

Published:What is non-normal data? Normally distributed data is a commonly misunderstood concept in Six Sigma. Some people believe that all data collected and used for analysis must be distributed normally. But normal distribution does not happen as often as people think, and it is not a main objective. Normal distribution is a means […]

Read more ยป## Are You Sure Your Data Is Normal?

Published:Most processes, particularly those involving life data and reliability, are not normally distributed. Most Six Sigma and process capability tools, however, assume normality. Only through verifying data normality and selecting the appropriate data analysis method will the results be accurate. This article discusses the non-normality issue and helps the reader understand some options for analyzing […]

Read more ยป## Using the 1-Sample Sign Test for Paired Data

Published:The paired t-test is used to check whether the average differences between two samples are significant or due only to random chance. In contrast with the โnormalโ t-test, the samples from the two groups are paired, which means that there is a dependency between them. The following example illustrates the difference between the regular t-test […]

Read more ยป## Non-normal Data Needs Alternate Control Chart Approach

Published:Some practitioners mistakenly believe that it is not necessary to transform data before creating an individuals control chart when the underlying process distribution response is not normal. An individuals control chart, however, is not robust to non-normally distributed data. Therefore, it is important to use an alternate control charting approach. Necessary Transformation Consider a hypothetical […]

Read more ยป## Process Capability Calculations with Non-Normal Data

Published:During a Six Sigma project, the defect rate of the business process is calculated twice, first during the Define phase to show the impact of the problem and again during the Control phase to show how the process has improved. Although effective analysis of data that is not distributed normally is possible, completing one of […]

Read more ยป