Skip to contents

This function will generate n random points from a cauchy distribution with a user provided, .location, .scale, 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_cauchy(.n = 50, .location = 0, .scale = 1, .num_sims = 1)

Arguments

.n

The number of randomly generated points you want.

.location

The location parameter.

.scale

The scale parameter, must be greater than or equal to 0.

.num_sims

The number of randomly generated simulations you want.

Value

A tibble of randomly generated data.

Details

This function uses the underlying stats::rcauchy(), and its underlying p, d, and q functions. For more information please see stats::rcauchy()

Author

Steven P. Sanderson II, MPH

Examples

tidy_cauchy()
#> # A tibble: 50 × 7
#>    sim_number     x      y    dx       dy     p      q
#>    <fct>      <int>  <dbl> <dbl>    <dbl> <dbl>  <dbl>
#>  1 1              1  1.21  -306. 4.40e- 4 0.780  1.21 
#>  2 1              2  0.565 -299. 8.08e-14 0.664  0.565
#>  3 1              3 -2.25  -291. 0        0.133 -2.25 
#>  4 1              4  0.468 -283. 2.54e-18 0.639  0.468
#>  5 1              5 -0.426 -275. 8.05e-19 0.372 -0.426
#>  6 1              6 -3.07  -268. 3.77e-20 0.100 -3.07 
#>  7 1              7 42.0   -260. 5.72e-19 0.992 42.0  
#>  8 1              8 -2.96  -252. 1.39e-18 0.104 -2.96 
#>  9 1              9  0.442 -245. 0        0.632  0.442
#> 10 1             10 -0.964 -237. 1.72e-19 0.256 -0.964
#> # ℹ 40 more rows