# randomizr

Inclusion Probabilities: Stratified and Clustered Random Sampling

```strata_and_cluster_rs_probabilities(strata = NULL, clusters = NULL,
prob = NULL, n = NULL, strata_n = NULL, strata_prob = NULL,
check_inputs = TRUE)```

## Arguments

strata A vector of length N that indicates which stratum each unit belongs to. A vector of length N that indicates which cluster each unit belongs to. Use for a design in which either floor(N_clusters_stratum*prob) or ceiling(N_clusters_stratum*prob) clusters are sampled within each stratum. The probability of being sampled is exactly prob because with probability 1-prob, floor(N_clusters_stratum*prob) clusters will be sampled and with probability prob, ceiling(N_clusters_stratum*prob) clusters will be sampled. prob must be a real number between 0 and 1 inclusive. (optional) Use for a design in which the scalar n describes the fixed number of units to sample in each stratum. This number does not vary across strata. Use for a design in which strata_n describes the number of units to sample within each stratum. Use for a design in which strata_prob describes the probability of being sampled within each stratum. Differs from prob in that the probability of being sampled can vary across strata. logical. Defaults to TRUE.

## Value

A vector length N indicating the probability of being sampled.

## Examples

```
clusters <- rep(letters, times = 1:26)

strata <- rep(NA, length(clusters))
strata[clusters %in% letters[1:5]] <- "stratum_1"
strata[clusters %in% letters[6:10]] <- "stratum_2"
strata[clusters %in% letters[11:15]] <- "stratum_3"
strata[clusters %in% letters[16:20]] <- "stratum_4"
strata[clusters %in% letters[21:26]] <- "stratum_5"

table(strata, clusters)#>            clusters
#> strata       a  b  c  d  e  f  g  h  i  j  k  l  m  n  o  p  q  r  s  t  u  v
#>   stratum_1  1  2  3  4  5  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
#>   stratum_2  0  0  0  0  0  6  7  8  9 10  0  0  0  0  0  0  0  0  0  0  0  0
#>   stratum_3  0  0  0  0  0  0  0  0  0  0 11 12 13 14 15  0  0  0  0  0  0  0
#>   stratum_4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 16 17 18 19 20  0  0
#>   stratum_5  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 21 22
#>            clusters
#> strata       w  x  y  z
#>   stratum_1  0  0  0  0
#>   stratum_2  0  0  0  0
#>   stratum_3  0  0  0  0
#>   stratum_4  0  0  0  0
#>   stratum_5 23 24 25 26
probs <- strata_and_cluster_rs_probabilities(strata = strata,
clusters = clusters)

table(probs, strata)#>      strata
#> probs stratum_1 stratum_2 stratum_3 stratum_4 stratum_5
#>   0.5        15        40        65        90       141table(probs, clusters)#>      clusters
#> probs  a  b  c  d  e  f  g  h  i  j  k  l  m  n  o  p  q  r  s  t  u  v  w  x
#>   0.5  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
#>      clusters
#> probs  y  z
#>   0.5 25 26

probs <- strata_and_cluster_rs_probabilities(clusters = clusters,
strata = strata,
prob = .5)

table(probs, clusters)#>      clusters
#> probs  a  b  c  d  e  f  g  h  i  j  k  l  m  n  o  p  q  r  s  t  u  v  w  x
#>   0.5  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
#>      clusters
#> probs  y  z
#>   0.5 25 26table(probs, strata)#>      strata
#> probs stratum_1 stratum_2 stratum_3 stratum_4 stratum_5
#>   0.5        15        40        65        90       141
probs <- strata_and_cluster_rs_probabilities(clusters = clusters,
strata = strata,
strata_n = c(2, 3, 2, 3, 2))

table(probs, clusters)#>                    clusters
#> probs                a  b  c  d  e  f  g  h  i  j  k  l  m  n  o  p  q  r  s  t
#>   0.333333333333333  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
#>   0.4                1  2  3  4  5  0  0  0  0  0 11 12 13 14 15  0  0  0  0  0
#>   0.6                0  0  0  0  0  6  7  8  9 10  0  0  0  0  0 16 17 18 19 20
#>                    clusters
#> probs                u  v  w  x  y  z
#>   0.333333333333333 21 22 23 24 25 26
#>   0.4                0  0  0  0  0  0
#>   0.6                0  0  0  0  0  0table(probs, strata)#>                    strata
#> probs               stratum_1 stratum_2 stratum_3 stratum_4 stratum_5
#>   0.333333333333333         0         0         0         0       141
#>   0.4                      15         0        65         0         0
#>   0.6                       0        40         0        90         0
probs <- strata_and_cluster_rs_probabilities(clusters = clusters,
strata = strata,
strata_prob = c(.1, .2, .3, .4, .5))

table(probs, clusters)#>      clusters
#> probs  a  b  c  d  e  f  g  h  i  j  k  l  m  n  o  p  q  r  s  t  u  v  w  x
#>   0.1  1  2  3  4  5  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
#>   0.2  0  0  0  0  0  6  7  8  9 10  0  0  0  0  0  0  0  0  0  0  0  0  0  0
#>   0.3  0  0  0  0  0  0  0  0  0  0 11 12 13 14 15  0  0  0  0  0  0  0  0  0
#>   0.4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 16 17 18 19 20  0  0  0  0
#>   0.5  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 21 22 23 24
#>      clusters
#> probs  y  z
#>   0.1  0  0
#>   0.2  0  0
#>   0.3  0  0
#>   0.4  0  0
#>   0.5 25 26table(probs, strata)#>      strata
#> probs stratum_1 stratum_2 stratum_3 stratum_4 stratum_5
#>   0.1        15         0         0         0         0
#>   0.2         0        40         0         0         0
#>   0.3         0         0        65         0         0
#>   0.4         0         0         0        90         0
#>   0.5         0         0         0         0       141

```