pdist: Illustrated probability calculations from distributions

In mosaic: Project MOSAIC Statistics and Mathematics Teaching Utilities

Illustrated probability calculations from distributions

Description

Illustrated probability calculations from distributions

Usage

pdist(
  dist = "norm",
  q,
  plot = TRUE,
  verbose = FALSE,
  invisible = FALSE,
  digits = 3L,
  xlim,
  ylim,
  resolution = 500L,
  return = c("values", "plot"),
  ...,
  refinements = list()
)

xpgamma(
  q,
  shape,
  rate = 1,
  scale = 1/rate,
  lower.tail = TRUE,
  log.p = FALSE,
  ...
)

xpt(q, df, ncp, lower.tail = TRUE, log.p = FALSE, ...)

xpchisq(q, df, ncp = 0, lower.tail = TRUE, log.p = FALSE, ...)

xpf(q, df1, df2, lower.tail = TRUE, log.p = FALSE, ...)

xpbinom(q, size, prob, lower.tail = TRUE, log.p = FALSE, ...)

xppois(q, lambda, lower.tail = TRUE, log.p = FALSE, ...)

xpgeom(q, prob, lower.tail = TRUE, log.p = FALSE, ...)

xpnbinom(q, size, prob, mu, lower.tail = TRUE, log.p = FALSE, ...)

xpbeta(q, shape1, shape2, ncp = 0, lower.tail = TRUE, log.p = FALSE, ...)

Arguments

dist	a character description of a distribution, for example "norm", "t", or "chisq"
q	a vector of quantiles
plot	a logical indicating whether a plot should be created
verbose	a logical
invisible	a logical
digits	the number of digits desired
xlim	x limits
ylim	y limits
resolution	Number of points used for detecting discreteness and generating plots. The default value of 5000 should work well except for discrete distributions that have many distinct values, especially if these values are not evenly spaced.
return	If "plot", return a plot. If "values", return a vector of numerical values.
...	Additional arguments, typically for fine tuning the plot.
refinements	A list of refinements to the plot. See ggformula::gf_refine().
shape, scale	shape and scale parameters. Must be positive, scale strictly.
rate	an alternative way to specify the scale.
lower.tail	logical; if TRUE (default), probabilities are P[X \le x], otherwise, P[X > x].
log.p	A logical indicating whether probabilities should be returned on the log scale.
df	degrees of freedom (> 0, maybe non-integer). df = Inf is allowed.
ncp	non-centrality parameter \delta; currently except for rt(), only for abs(ncp) <= 37.62. If omitted, use the central t distribution.
df1, df2	degrees of freedom. Inf is allowed.
size	number of trials (zero or more).
prob	probability of success on each trial.
lambda	vector of (non-negative) means.
mu	alternative parametrization via mean: see ‘Details’.
shape1, shape2	non-negative parameters of the Beta distribution.

Details

The most general function is pdist which can work with any distribution for which a p-function exists. As a convenience, wrappers are provided for several common distributions.

Value

A vector of probabilities; a plot is printed as a side effect.

See Also

qdist(), xpnorm(), xqnorm().

Examples

pdist("norm", -2:2)
pdist("norm", seq(80,120, by = 10), mean = 100, sd = 10)
pdist("chisq", 2:4, df = 3)
pdist("f", 1, df1 = 2, df2 = 10)
pdist("gamma", 2, shape = 3, rate = 4)

mosaic documentation built on May 29, 2024, 5:27 a.m.