Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble

This function will generate n random points from a chisquare 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_chisquare(
  .n = 50,
  .df = 1,
  .ncp = 1,
  .num_sims = 1,
  .return_tibble = TRUE
)

Arguments

.n: The number of randomly generated points you want.
.df: Degrees of freedom (non-negative but can be non-integer)
.ncp: Non-centrality parameter, must be non-negative.
.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::rchisq(), and its underlying p, d, and q functions. For more information please see stats::rchisq()

Other Continuous Distribution: tidy_beta(), tidy_burr(), tidy_cauchy(), tidy_exponential(), tidy_f(), 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 Chisquare: util_chisquare_param_estimate(), util_chisquare_stats_tbl()

Author

Steven P. Sanderson II, MPH

Examples

tidy_chisquare()
#> # A tibble: 50 × 7
#>    sim_number     x       y      dx      dy      p       q
#>    <fct>      <int>   <dbl>   <dbl>   <dbl>  <dbl>   <dbl>
#>  1 1              1 0.0110  -2.58   0.00141 0.0507 0.0110 
#>  2 1              2 5.28    -2.22   0.00471 0.902  5.28   
#>  3 1              3 1.39    -1.86   0.0133  0.556  1.39   
#>  4 1              4 0.00843 -1.51   0.0321  0.0444 0.00843
#>  5 1              5 0.0290  -1.15   0.0659  0.0825 0.0290 
#>  6 1              6 2.90    -0.793  0.116   0.756  2.90   
#>  7 1              7 0.369   -0.436  0.174   0.293  0.369  
#>  8 1              8 6.24    -0.0799 0.227   0.933  6.24   
#>  9 1              9 3.64     0.277  0.257   0.816  3.64   
#> 10 1             10 3.95     0.633  0.258   0.837  3.95   
#> # ℹ 40 more rows