# Random Samples and Permutations

## Random Samples and Permutations

### Usage

sample(x, size, replace = FALSE, prob = NULL) sample.int(n, size = n, replace = FALSE, prob = NULL, useHash = (!replace && is.null(prob) && size <= n/2 && n > 1e7))

### Arguments

x |
either a vector of one or more elements from which to choose, or a positive integer. See ‘Details.’ |

n |
a positive number, the number of items to choose from. See ‘Details.’ |

size |
a non-negative integer giving the number of items to choose. |

replace |
should sampling be with replacement? |

prob |
a vector of probability weights for obtaining the elements of the vector being sampled. |

useHash |
logical indicating if the hash-version of the algorithm should be used. Can only be used for replace = FALSE, prob = NULL, and size <= n/2, and really should be used for large n, as useHash=FALSE will use memory proportional to n. |

### Details

If x has length 1, is numeric (in the sense of is.numeric) and x >= 1, sampling *via* sample takes place from 1:x. *Note* that this convenience feature may lead to undesired behaviour when x is of varying length in calls such as sample(x). See the examples.

Otherwise x can be any **R** object for which length and subsetting by integers make sense: S3 or S4 methods for these operations will be dispatched as appropriate.

For sample the default for size is the number of items inferred from the first argument, so that sample(x) generates a random permutation of the elements of x (or 1:x).

It is allowed to ask for size = 0 samples with n = 0 or a length-zero x, but otherwise n > 0 or positive length(x) is required.

Non-integer positive numerical values of n or x will be truncated to the next smallest integer, which has to be no larger than .Machine$integer.max.

The optional prob argument can be used to give a vector of weights for obtaining the elements of the vector being sampled. They need not sum to one, but they should be non-negative and not all zero. If replace is true, Walker’s alias method (Ripley, 1987) is used when there are more than 200 reasonably probable values: this gives results incompatible with those from **R** < 2.2.0.

If replace is false, these probabilities are applied sequentially, that is the probability of choosing the next item is proportional to the weights amongst the remaining items. The number of nonzero weights must be at least size in this case.

sample.int is a bare interface in which both n and size must be supplied as integers.

Argument n can be larger than the largest integer of type integer, up to the largest representable integer in type double. Only uniform sampling is supported. Two random numbers are used to ensure uniform sampling of large integers.

### Value

For sample a vector of length size with elements drawn from either x or from the integers 1:x.

For sample.int, an integer vector of length size with elements from 1:n, or a double vector if *n >= 2^31*.

### References

Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988) *The New S Language*. Wadsworth & Brooks/Cole.

Ripley, B. D. (1987) *Stochastic Simulation*. Wiley.

### See Also

RNG about random number generation.

CRAN package sampling for other methods of weighted sampling without replacement.

### Examples

x <- 1:12 # a random permutation sample(x) # bootstrap resampling -- only if length(x) > 1 ! sample(x, replace = TRUE) # 100 Bernoulli trials sample(c(0,1), 100, replace = TRUE) ## More careful bootstrapping -- Consider this when using sample() ## programmatically (i.e., in your function or simulation)! # sample()'s surprise -- example x <- 1:10 sample(x[x > 8]) # length 2 sample(x[x > 9]) # oops -- length 10! sample(x[x > 10]) # length 0 ## safer version: resample <- function(x, ...) x[sample.int(length(x), ...)] resample(x[x > 8]) # length 2 resample(x[x > 9]) # length 1 resample(x[x > 10]) # length 0 ## R 3.x.y only sample.int(1e10, 12, replace = TRUE) sample.int(1e10, 12) # not that there is much chance of duplicates

[Package *base* version 3.4.1 Index]