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This function will generate n random points from a rt distribution with a user provided, df, ncp, 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_t(.n = 50, .df = 1, .ncp = 0, .num_sims = 1, .return_tibble = TRUE)

Arguments

.n

The number of randomly generated points you want.

.df

Degrees of freedom, Inf is allowed.

.ncp

Non-centrality parameter.

.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::rt(), and its underlying p, d, and q functions. For more information please see stats::rt()

Author

Steven P. Sanderson II, MPH

Examples

tidy_t()
#> # A tibble: 50 × 7
#>    sim_number     x       y    dx       dy     p       q
#>    <fct>      <int>   <dbl> <dbl>    <dbl> <dbl>   <dbl>
#>  1 1              1 -0.844  -5.85 1.22e- 3 0.277 -0.844 
#>  2 1              2 -0.0824 -1.00 1.46e- 1 0.474 -0.0824
#>  3 1              3  2.83    3.84 4.17e- 2 0.892  2.83  
#>  4 1              4  1.33    8.69 0        0.795  1.33  
#>  5 1              5  1.44   13.5  3.33e-19 0.807  1.44  
#>  6 1              6  0.167  18.4  0        0.553  0.167 
#>  7 1              7  3.72   23.2  1.76e-19 0.916  3.72  
#>  8 1              8 -1.01   28.1  1.18e-19 0.249 -1.01  
#>  9 1              9 -0.790  32.9  0        0.287 -0.790 
#> 10 1             10 -0.662  37.8  7.26e-19 0.314 -0.662 
#> # ℹ 40 more rows