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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  -1.23   -12.0  0.000203      0.217   -1.23  
#>  2 1              2   0.603  -11.6  0.00226       0.673    0.603 
#>  3 1              3  -0.520  -11.2  0.0101        0.347   -0.520 
#>  4 1              4  -4.56   -10.8  0.0179        0.0687  -4.56  
#>  5 1              5   0.122  -10.3  0.0126        0.539    0.122 
#>  6 1              6   0.131   -9.92 0.00357       0.541    0.131 
#>  7 1              7   0.454   -9.50 0.000403      0.636    0.454 
#>  8 1              8 -10.7     -9.07 0.0000181     0.0296 -10.7   
#>  9 1              9   2.45    -8.64 0.000000326   0.876    2.45  
#> 10 1             10  -0.0710  -8.22 0.00000000233 0.477   -0.0710
#> # ℹ 40 more rows