# interaction

##### Compute Factor Interactions

`interaction`

computes a factor which represents the interaction
of the given factors. The result of `interaction`

is always unordered.

- Keywords
- category

##### Usage

`interaction(…, drop = FALSE, sep = ".", lex.order = FALSE)`

##### Arguments

- …
the factors for which interaction is to be computed, or a single list giving those factors.

- drop
if

`drop`

is`TRUE`

, unused factor levels are dropped from the result. The default is to retain all factor levels.- sep
string to construct the new level labels by joining the constituent ones.

- lex.order
logical indicating if the order of factor concatenation should be lexically ordered.

##### Value

A factor which represents the interaction of the given factors.
The levels are labelled as the levels of the individual factors joined
by `sep`

which is `.`

by default.

By default, when `lex.order = FALSE`

, the levels are ordered so
the level of the first factor varies fastest, then the second and so
on. This is the reverse of lexicographic ordering (which you can get
by `lex.order = TRUE`

), and differs from
`:`

. (It is done this way for compatibility with S.)

##### References

Chambers, J. M. and Hastie, T. J. (1992)
*Statistical Models in S*.
Wadsworth & Brooks/Cole.

##### See Also

`factor`

;
`:`

where `f:g`

is similar to
`interaction(f, g, sep = ":")`

when `f`

and `g`

are factors.

##### Examples

`library(base)`

```
# NOT RUN {
a <- gl(2, 4, 8)
b <- gl(2, 2, 8, labels = c("ctrl", "treat"))
s <- gl(2, 1, 8, labels = c("M", "F"))
interaction(a, b)
interaction(a, b, s, sep = ":")
stopifnot(identical(a:s,
interaction(a, s, sep = ":", lex.order = TRUE)),
identical(a:s:b,
interaction(a, s, b, sep = ":", lex.order = TRUE)))
# }
```

*Documentation reproduced from package base, version 3.6.0, License: Part of R 3.6.0*