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This function will generate n random points from a generalized beta distribution with a user provided, .shape1, .shape2, .shape3, .rate, and/or .sclae, 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_generalized_beta(
  .n = 50,
  .shape1 = 1,
  .shape2 = 1,
  .shape3 = 1,
  .rate = 1,
  .scale = 1/.rate,
  .num_sims = 1
)

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.

.shape3

A non-negative parameter of the Beta distribution.

.rate

An alternative way to specify the .scale parameter.

.scale

Must be strictly positive.

.num_sims

The number of randomly generated simulations you want.

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()

Author

Steven P. Sanderson II, MPH

Examples

tidy_generalized_beta()
#> # A tibble: 50 × 7
#>    sim_number     x     y      dx      dy     p     q
#>    <fct>      <int> <dbl>   <dbl>   <dbl> <dbl> <dbl>
#>  1 1              1 0.889 -0.361  0.00254 0.889 0.889
#>  2 1              2 0.352 -0.327  0.00604 0.352 0.352
#>  3 1              3 0.270 -0.292  0.0134  0.270 0.270
#>  4 1              4 0.521 -0.257  0.0274  0.521 0.521
#>  5 1              5 0.907 -0.222  0.0524  0.907 0.907
#>  6 1              6 0.297 -0.188  0.0931  0.297 0.297
#>  7 1              7 0.974 -0.153  0.154   0.974 0.974
#>  8 1              8 0.145 -0.118  0.239   0.145 0.145
#>  9 1              9 0.897 -0.0836 0.345   0.897 0.897
#> 10 1             10 0.874 -0.0489 0.467   0.874 0.874
#> # ℹ 40 more rows