# Statistical Details for the Pareto Plot Platform

## Likelihood Ratio Chi-Square Test

#### Notation

The likelihood ratio Chi-square test statistic computed in the Pareto Plot platform uses the following notation:

• nij is the count for Cause i in Group j.

• Ej is the expected count for Group j. This is the mean count of each group, across causes.

• Ei is the expected count for Cause i. This is the mean count of each cause, across groups.

#### Likelihood Ratio Chi-Square Test Statistic within Groups

#### Likelihood Ratio Chi-Square Test Statistic across Groups