Marginal distribution

A marginal distribution is the distribution of one variable by itself in a two-way table, built from the row or column totals over the grand total.

It collapses the table down to a single variable, throwing away the information about the other one, which is why it is read off the margins. Every entry uses the grand total as its denominator, unlike a conditional distribution, which divides by one row or column total instead. Of 200 surveyed students, 80 are seniors and 120 are not, so the marginal distribution of class is 80/200=0.4080/200 = 0.40 senior and 120/200=0.60120/200 = 0.60 not senior. The proportions in a marginal distribution add to 1 across all categories of that one variable.

Where this comes up

More probability terms, or browse the full statistics glossary.