# Relative Report Rate

By we denote the law of probability of a random variable conditionally given for another random variable , and by the binomial distribution with parameter . Then the multinomial model of contingency table is hierarchically described as a series of binomial distributions.

- for the -th marginal count of adverse event.
- for the -cell count.

*relative report rate*is the ratio , and can be estimated by

where we use the following estimates:

The estimate is often referred as ``relative risk (RR),'' and will be used to compare with two other estimates, Empirical Bayes Geometric Mean (EBGM) by DuMouchel, and a Stein-like estimator (STEIN). Drug-reaction combinations are ranked according to the estimate of relative report rate. The table below will display the combinations from to in the rankings.

Provided the entries for `DRUG` and `REAC`,
we can display their relative report rates and rankings
from another method.
This enables us to compare two different rankings.