P: Cumulative distribution function

In leem: Laboratory of Teaching to Statistics and Mathematics

Cumulative distribution function

Description

P Compute the cumulative distribution function for multiple distributions

Usage

P(
  q,
  dist = "normal",
  lower.tail = TRUE,
  rounding = 5,
  porcentage = FALSE,
  gui = "plot",
  main = NULL,
  ...
)

Arguments

q	quantile. The q argument can have length 1 or 2. See Details.
dist	distribution to use. The default is 'normal'. Options: 'normal', 't-student', 'gumbel', 'binomial', 'poisson', and ....
lower.tail	logical; if TRUE (default), probabilities are P[X \leq x] otherwise, P[X > x]. This argument is valid only if q has length 1.
rounding	numerical; it represents the number of decimals for calculating the probability.
porcentage	logical; if FALSE (default), the result in decimal. Otherwise, probability is given in percentage.
gui	default is 'plot'; it graphically displays the result of the probability. Others options are: 'none', 'rstudio' or 'tcltk'.
main	defalt is NULL; it represents title of plot.
...	additional arguments according to the chosen distribution.

Details

The argument that can have length 2, when we use the functions that give us the probability regions, given by: %<X<%, %<=X<%, %<X<=%, %<=X<=%, %>X>%, %>X=>%, %>X=>% and %>=X=>%. The additional arguments represent the parameters of the distributions, that is:

Value

P returns the probability and its graphical representation. The result can be given as a percentage or not.

Examples

# Loading package
library(leem)
# Example 1 - t-Student distribution
## Not run: 
P(q = 2, dist = "t-student", df = 10)
P(q = 2, dist = "t-student", df = 10, gui = 'rstudio')
P(q = 2, dist = "t-student", df = 10, gui = 'tcltk')
P(-1 %<X<% 1, dist = "t-student", df = 10)

## End(Not run)
# Example 2 - Normal distribution
P(-2,  dist = "normal", mean = 3, sd = 2,
  main = expression(f(x) == (1 / sqrt(n * sigma^2)) *
  exp(-1/2 * (x - mu)^2/sigma^2)))

leem documentation built on April 3, 2025, 6:04 p.m.