Tidy Randomly Generated Bernoulli Distribution Tibble

This function will generate n random points from a Bernoulli distribution with a user provided, .prob, and number of random simulations to be produced. The function returns a tibble with the simulation number column the x column which corresponds to the n randomly generated points, the d_, p_ and q_ data points as well.

The data is returned un-grouped.

The columns that are output are:

• sim_number The current simulation number.

• x The current value of n for the current simulation.

• y The randomly generated data point.

• dx The x value from the stats::density() function.

• dy The y value from the stats::density() function.

• p The values from the resulting p_ function of the distribution family.

• q The values from the resulting q_ function of the distribution family.

Usage

tidy_bernoulli(.n = 50, .prob = 0.1, .num_sims = 1, .return_tibble = TRUE)

Arguments

.n

The number of randomly generated points you want.

.prob

The probability of success/failure.

.num_sims

The number of randomly generated simulations you want.

.return_tibble

A logical value indicating whether to return the result as a tibble. Default is TRUE.

Value

A tibble of randomly generated data.

Details

This function uses the rbinom(), and its underlying p, d, and q functions. The Bernoulli distribution is a special case of the Binomial distribution with size = 1 hence this is why the binom functions are used and set to size = 1.

See also

https://en.wikipedia.org/wiki/Bernoulli_distribution

Other Discrete Distribution: tidy_binomial(), tidy_geometric(), tidy_hypergeometric(), tidy_negative_binomial(), tidy_poisson(), tidy_zero_truncated_binomial(), tidy_zero_truncated_negative_binomial(), tidy_zero_truncated_poisson()

Other Bernoulli: util_bernoulli_param_estimate(), util_bernoulli_stats_tbl()

Author

Steven P. Sanderson II, MPH

Examples

tidy_bernoulli()
#> # A tibble: 50 × 7
#>    sim_number     x     y       dx     dy     p     q
#>    <fct>      <int> <int>    <dbl>  <dbl> <dbl> <dbl>
#>  1 1              1     0 -0.296   0.0423   0.9     0
#>  2 1              2     0 -0.264   0.108    0.9     0
#>  3 1              3     0 -0.231   0.245    0.9     0
#>  4 1              4     1 -0.199   0.502    1       1
#>  5 1              5     0 -0.166   0.922    0.9     0
#>  6 1              6     0 -0.134   1.52     0.9     0
#>  7 1              7     0 -0.101   2.25     0.9     0
#>  8 1              8     0 -0.0687  2.98     0.9     0
#>  9 1              9     0 -0.0362  3.55     0.9     0
#> 10 1             10     0 -0.00372 3.79     0.9     0
#> # ℹ 40 more rows