Poisson capability plots

These plots appear in the output of Poisson capability analysis to help verify whether your data follow a Poisson distribution. If they do not, Poisson capability analysis is not appropriate for your data. Minitab generates a Defect rate plot when subgroup sizes vary, and a Poisson plot when subgroup sizes are constant.

Defect rate plot

This chart helps you verify whether a Poisson distribution fits your data by checking the assumption that the DPU (defects per unit) is constant. If your data violate this assumption, your capability analysis may be invalid.

This chart plots the DPU (defects per unit) in each subgroup against the subgroup's sample size. The center line equals the mean DPU; the confidence bounds for the mean lie above and below the center line.

If your data fall randomly about the center line, you conclude the Poisson distribution is a good fit for your data, and proceed with your analysis. If the points fall in a nonrandom pattern, the Poisson distribution may not be appropriate for your data, and your capability analysis may be invalid.

 

Defect rate plot

 

DPU

DPU is affected by sample size. The data may not follow a Poisson distribution.

 

Sample size

 

 

 

 

 

Defect Rate plot

 

DPU

The data fall randomly around the center line. It is reasonable to assume the data come from a Poisson distribution.

 

Sample size

 

Poisson plot

This chart helps verify whether a Poisson distribution fits your data by plotting the expected number of defects against the observed number. The diagonal line shows where the data would fall if they perfectly follow a Poisson distribution. If the data stray significantly from this line, Poisson capability analysis may not be valid.

 

Poisson plot

 

Expected Defects

The data points fall closely along the line. It is reasonable to assume the data follows a Poisson distribution.

 

Observed Defects