The plotted points represent the defect rate for each subgroup,
:

Data points on a U chart follow the Poisson distribution.
| Term | Description |
|---|---|
![]() | number of defects for subgroup ![]() |
![]() | size of subgroup ![]() |
The center line represents the process mean,
. If you do not specify a historical value, then Minitab uses the mean from your data,
, to estimate
.

| Term | Description |
|---|---|
![]() | number of defects in subgroup ![]() |
![]() | size of subgroup ![]() |
Each subgroup rate
is converted to a z-score (
):

Next, a moving range of length 2 is used to evaluate the variation in the z-scores and calculate Sigma Z (
):

where 1.128 is an unbiasing constant.
| Term | Description |
|---|---|
![]() | defect rate for subgroup ![]() |
![]() | process mean |
![]() | size of subgroup ![]() |
![]() | moving range of length 2 |
The LCL for each subgroup
is equal to the greater of the following:

or


| Term | Description |
|---|---|
![]() | process mean |
![]() | parameter for Test 1. The default is 3. (For more information go to Select tests for special causes for Laney U' Chart.) |
![]() | size of subgroup ![]() |
![]() | see "Sigma Z" |