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Tidy Randomly Generated T Distribution Tibble

Source: R/random-tidy-t.R
tidy_t.Rd

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()

See also

https://www.itl.nist.gov/div898/handbook/eda/section3/eda3664.htm

Other Continuous Distribution: tidy_beta(), tidy_burr(), tidy_cauchy(), tidy_chisquare(), tidy_exponential(), tidy_f(), tidy_gamma(), tidy_generalized_beta(), tidy_generalized_pareto(), 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_triangular(), tidy_uniform(), tidy_weibull(), tidy_zero_truncated_geometric()

Other T Distribution: util_t_stats_tbl()

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   0.187  -34.7 1.31e- 4 0.559     0.187 
#>  2 1              2   1.15   -33.8 2.50e- 3 0.772     1.15  
#>  3 1              3   1.83   -33.0 1.00e- 2 0.841     1.83  
#>  4 1              4   0.664  -32.1 8.47e- 3 0.687     0.664 
#>  5 1              5 -32.6    -31.2 1.50e- 3 0.00976 -32.6   
#>  6 1              6   0.452  -30.3 5.60e- 5 0.635     0.452 
#>  7 1              7  -6.23   -29.4 4.33e- 7 0.0507   -6.23  
#>  8 1              8   0.870  -28.6 6.72e-10 0.728     0.870 
#>  9 1              9   0.425  -27.7 2.39e-13 0.628     0.425 
#> 10 1             10   0.0347 -26.8 1.08e-17 0.511     0.0347
#> # ℹ 40 more rows