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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 0.975  -0.295    0.00224 0.975  0.975 
#>  2 1              2 0.517  -0.262    0.00558 0.517  0.517 
#>  3 1              3 0.606  -0.229    0.0127  0.606  0.606 
#>  4 1              4 0.644  -0.197    0.0265  0.644  0.644 
#>  5 1              5 0.856  -0.164    0.0507  0.856  0.856 
#>  6 1              6 0.144  -0.131    0.0890  0.144  0.144 
#>  7 1              7 0.0539 -0.0984   0.143   0.0539 0.0539
#>  8 1              8 0.531  -0.0657   0.212   0.531  0.531 
#>  9 1              9 0.0258 -0.0329   0.291   0.0258 0.0258
#> 10 1             10 0.525  -0.000185 0.369   0.525  0.525 
#> # ℹ 40 more rows