Tidy Randomly Generated Beta Distribution Tibble

This function will generate n random points from a beta distribution with a user provided, .shape1, .shape2, .ncp or non-centrality parameter, 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_beta(
  .n = 50,
  .shape1 = 1,
  .shape2 = 1,
  .ncp = 0,
  .num_sims = 1,
  .return_tibble = TRUE
)

Arguments

.n: The number of randomly generated points you want.
.shape1: A non-negative parameter of the Beta distribution.
.shape2: A non-negative parameter of the Beta distribution.
.ncp: The non-centrality parameter of the Beta distribution.
.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 underlying stats::rbeta(), and its underlying p, d, and q functions. For more information please see stats::rbeta()

Other Continuous Distribution: tidy_burr(), tidy_cauchy(), tidy_chisquare(), tidy_exponential(), tidy_f(), tidy_gamma(), tidy_generalized_beta(), tidy_generalized_pareto(), tidy_geometric(), tidy_inverse_burr(), tidy_inverse_exponential(), tidy_inverse_gamma(), tidy_inverse_normal(), tidy_inverse_pareto(), tidy_inverse_weibull(), tidy_logistic(), tidy_lognormal(), tidy_normal(), tidy_paralogistic(), tidy_pareto(), tidy_pareto1(), tidy_t(), tidy_triangular(), tidy_uniform(), tidy_weibull(), tidy_zero_truncated_geometric()

Other Beta: tidy_generalized_beta(), util_beta_param_estimate(), util_beta_stats_tbl()

Author

Steven P. Sanderson II, MPH

Examples

tidy_beta()
#> # A tibble: 50 × 7
#>    sim_number     x     y      dx      dy     p     q
#>    <fct>      <int> <dbl>   <dbl>   <dbl> <dbl> <dbl>
#>  1 1              1 0.359 -0.353  0.00273 0.359 0.359
#>  2 1              2 0.988 -0.318  0.00644 0.988 0.988
#>  3 1              3 0.295 -0.283  0.0141  0.295 0.295
#>  4 1              4 0.724 -0.248  0.0284  0.724 0.724
#>  5 1              5 0.729 -0.213  0.0532  0.729 0.729
#>  6 1              6 0.301 -0.178  0.0925  0.301 0.301
#>  7 1              7 0.423 -0.143  0.149   0.423 0.423
#>  8 1              8 1.00  -0.107  0.224   1.00  1.00 
#>  9 1              9 0.816 -0.0724 0.315   0.816 0.816
#> 10 1             10 0.784 -0.0373 0.416   0.784 0.784
#> # ℹ 40 more rows