When I was studying for the Six Sigma Black Belt Exam I noticed there were a lot of questions on control charts. Besides that, I noticed that there were a lot of different types of control charts. You had to use one for certain kinds of data or number of units in the sample and then you had to use other control charts in different instances.

Beyond that, there were different distribution types associated with several of the data sets -something you take for granted when asked a question specifically geared to data, but I found it was easy to get tripped up on the exam when combining with control chart questions.

Very confusing.

So, in the spirit of continuous improvement, I made the following study guide. A visual decision tree is under development and will be coming soon.

## Control Charts Overview

Control Charts – A great place to start for an overview on control charts.

Statistical Process Control – Control charts are an aspect of statistical process control.

## Control Charts by Data Type

Not all control charts are the same. Different Data Types require different charts.

### Control Charts for Discrete Data

Once you know that you are making a control chart for continuous data, you need to determine if your population is normal or not and the sample size (n) you are charting.

#### If your data is Not Normal

Use a Run chart.

#### If your data is Not Normal

**If n = 1, then use: **X-MR or I-MR chart: Also known as Shewhart’s Control chart.

**If 1 < n < 10, then use: **X bar-R chart

**If n >= 10, then use:** X bar-S chart

### Control Charts for Continuous or Attribute Data

For continuous data you will be using one of 4 Attribute charts. Generally you are measuring things like defects. You decide which one to use by noting how many defects are possible per unit measured and if the sample size is constant or not.

#### When there are Multiple Defects (i.e. chances to be defective):

The population will follow the Poisson Distribution.

If there are multiple defects and sample size is constant, then use: c- chart

- Plot the number of defects.

If there are multiple defects and sample size varies, then use: u- chart

- Plot the average number of defects per sample unit.

#### When there are NOT Multiple Defects:

This population sorts defects into 2 piles (it’s Binomial). Samples are either good or bad, positive or negative, right or wrong.

If there are NOT multiple defects and sample size is constant, then use: np- chart

- Plot the number of defects.

If there are NOT multiple defects and sample size is varies, then use: p- chart

- Plot the ratio of defects found. (number of defects found / sample size).

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