Tidy Randomly Generated F Distribution Tibble

This function will generate n random points from a rf distribution with a user provided, df1,df2, and 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_f(
  .n = 50,
  .df1 = 1,
  .df2 = 1,
  .ncp = 0,
  .num_sims = 1,
  .return_tibble = TRUE
)

Arguments

.n

The number of randomly generated points you want.

.df1

Degrees of freedom, Inf is allowed.

.df2

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

See also

https://www.itl.nist.gov/div898/handbook/eda/section3/eda3665.htm

Other Continuous Distribution: tidy_beta(), tidy_burr(), tidy_cauchy(), tidy_chisquare(), tidy_exponential(), tidy_gamma(), tidy_generalized_beta(), tidy_generalized_pareto(), tidy_geometric(), tidy_inverse_burr(), tidy_inverse_exponential(), tidy_inverse_gamma(), tidy_inverse_normal(), tidy_inverse_pareto(), tidy_inverse_weibull(), tidy_logistic(), tidy_lognormal(), tidy_normal(), tidy_paralogistic(), tidy_pareto(), tidy_pareto1(), tidy_t(), tidy_triangular(), tidy_uniform(), tidy_weibull(), tidy_zero_truncated_geometric()

Other F Distribution: util_f_param_estimate(), util_f_stats_tbl()

Author

Steven P. Sanderson II, MPH

Examples

tidy_f()
#> # A tibble: 50 × 7
#>    sim_number     x         y     dx       dy       p         q
#>    <fct>      <int>     <dbl>  <dbl>    <dbl>   <dbl>     <dbl>
#>  1 1              1  0.111     -6.16 6.86e- 3 0.205    0.111   
#>  2 1              2 17.1       26.0  2.41e- 3 0.849   17.1     
#>  3 1              3 42.4       58.1  3.22e-11 0.903   42.4     
#>  4 1              4  2.03      90.2  4.61e- 4 0.611    2.03    
#>  5 1              5  0.000138 122.   3.48e- 9 0.00749  0.000138
#>  6 1              6  0.0407   154.   1.92e-19 0.127    0.0407  
#>  7 1              7  0.0618   187.   8.78e-19 0.155    0.0618  
#>  8 1              8  0.104    219.   0        0.198    0.104   
#>  9 1              9  2.73     251.   2.98e-19 0.653    2.73    
#> 10 1             10  0.00803  283.   3.95e- 4 0.0569   0.00803 
#> # ℹ 40 more rows