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Six Sigma · Black Belt

Six Sigma: Analyze Phase Tools

Root cause analysis tools including fishbone diagrams, five whys, Pareto charts, and hypothesis testing used in the Analyze phase.

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What does a fishbone diagram show?
Potential causes of a problem organized by category branches extending from a central spine representing the effect
What are the six Ms typically used as main categories in an extended fishbone diagram?
Materials, Methods, Machines, Man (People), Measurement, and Mother Environment (Environment)
What is another name for a fishbone diagram?
Ishikawa diagram
When should you use a fishbone diagram instead of the Five Whys?
When you want to identify and organize many potential causes at the same level before drilling down, rather than sequentially asking why
What is the Five Whys technique?
A problem-solving method where you repeatedly ask 'why' to drill down through successive layers of cause and effect to find the root cause
What does a Pareto chart display?
A bar chart ranked by frequency or impact in descending order, with a cumulative percentage line overlay showing total impact
State the Pareto principle and the typical ratio it describes.
Approximately 80 percent of the effects (problems) come from 20 percent of the causes
In a Pareto chart, what does the cumulative percentage line help you identify?
The vital few causes that account for the majority of the problem, so you can prioritize which causes to address first
What is the null hypothesis in statistical testing?
The assumption that there is no significant difference, no effect, or no relationship between variables
What is the alternative hypothesis?
The hypothesis that there is a statistically significant difference, effect, or relationship; it is accepted if the null hypothesis is rejected
What does a p-value represent?
The probability of observing the test result (or more extreme) if the null hypothesis is actually true
What is the standard alpha level (significance level) used to reject the null hypothesis?
0.05 (or 5 percent), meaning you accept a 5 percent chance of a Type I error
What is a Type I error in hypothesis testing?
Rejecting the null hypothesis when it is actually true; concluding there is a significant effect when there is not
What is a Type II error in hypothesis testing?
Failing to reject the null hypothesis when it is actually false; concluding there is no effect when there really is one
What does the power of a test measure?
The probability of correctly rejecting the null hypothesis when it is false; power equals 1 minus the Type II error rate

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