I-MR Chart

 

Overview  |  How to  |  Data  |  Example

 

 

 

Overview

 

The I-MR chart is made up of an individuals Chart and Moving Range Chart. It allows you to track both process level and process variation at the same time and detect signs of special causes.

 

 

 

 

 

How to

 

1.       Choose ProcessMA > Control Charts > Variable Charts for Individuals > I-MR.

 

2.       In Variable, select the column containing the data.

 

3.       Click OK.

 

 

Optional

 

4.       In Mean, enter the population mean, otherwise it will be estimated by the sample mean.

 

5.       In Standard deviation, enter the population standard deviation, otherwise it will be estimated from the data.

 

6.       In Control limit multiples, enter the position to draw the upper and lower control limits.  Multiple entries must be separated by commas (,).

 

7.       In I-Lower limit bound, enter the bound on the lower control limit for the Individuals Chart.

 

8.       In I-Upper limit bound, enter the bound on the upper control limit for the Individuals Chart.

 

9.       In MR-Lower limit bound, enter the bound on the lower control limit for the Moving Range Chart.

 

10.    In MR-Upper limit bound, enter the bound on the upper control limit for the Moving Range Chart.

 

11.    In Phase, select the column containing the phase codes. (Phase can useful to compare groups of data like before and after improvement)

 

12.    In Estimate, select the method of estimating sigma. 

 

·         Average moving range - Estimate based on the average of the moving range.

 

·         Median moving range - Estimate based on the median of the moving range

 

13.    In Moving range length, enter the number of observations used to calculate the moving range.

 

 

Note       To select a column of data into a textbox, double-click on any of the column names shown in the list on the left of the dialog box while in the textbox.

 

 

 

 

 

Data

 

Variable: Numeric.

               

Subgroup (For non-constant subgroup size): Text or Numeric; Must contain equal number of data points as the Variable.

 

Subgroup (For constant subgroup size): Integer; Must be at least 2.

 

Mean: Numeric.

 

Standard deviation: Numeric.

 

Control limit multiples: Numeric.

 

I-Lower limit bound: Numeric.

 

I-Upper limit bound: Numeric.

 

MR-Lower limit bound: Numeric.

 

MR-Upper limit bound: Numeric.

 

Moving range length: Integer.

 

Phase: Text or Numeric; Must contain equal number of data points as the Variable.

 

 

 

 

 

Example

 

You are the manager of a technical help division.  There have been complains that response time were getting slow and erratic.  You collected several measurements on response time and you want to run the I-MR Chart to evaluate the situation.

 

1.       Open worksheet ProcessMA > Tools > Data Files > Control.xls.

 

2.       Choose ProcessMA > Control Charts > Variable Charts for Individuals > I-MR.

 

3.       In Variable, select F – Response time.

 

4.       Click OK.

 

 

 

Interpretation

 

The ninth point of the Individuals Chart lies outside the upper control limit which suggests a possible special cause on the process level. The process variation is stable as the data points are randomly distributed and lie within the control limits of the Moving Range Chart.