xpnorm: Augmented versions of pnorm and qnorm

In mosaic: Project MOSAIC Statistics and Mathematics Teaching Utilities

Augmented versions of pnorm and qnorm

Description

These functions behave similarly to the functions with the initial x removed from their names but add more verbose output and graphics.

Usage

xpnorm(
  q,
  mean = 0,
  sd = 1,
  plot = TRUE,
  verbose = TRUE,
  invisible = FALSE,
  digits = 4,
  lower.tail = TRUE,
  log.p = FALSE,
  xlim = mean + c(-4, 4) * sd,
  ylim = c(0, 1.4 * dnorm(mean, mean, sd)),
  manipulate = FALSE,
  ...,
  return = c("value", "plot")
)

xqnorm(
  p,
  mean = 0,
  sd = 1,
  plot = TRUE,
  verbose = TRUE,
  digits = getOption("digits"),
  lower.tail = TRUE,
  log.p = FALSE,
  xlim,
  ylim,
  invisible = FALSE,
  ...,
  return = c("value", "plot"),
  pattern = c("stripes", "rings")
)

xcnorm(
  p,
  mean = 0,
  sd = 1,
  plot = TRUE,
  verbose = TRUE,
  digits = getOption("digits"),
  lower.tail = TRUE,
  log.p = FALSE,
  xlim,
  ylim,
  invisible = FALSE,
  ...,
  return = c("value", "plot"),
  pattern = "rings"
)

Arguments

q	quantile
mean, sd	parameters of normal distribution.
plot	logical. If TRUE, show an illustrative plot.
verbose	logical. If TRUE, display verbose output.
invisible	logical. If TRUE, return value invisibly.
digits	number of digits to display in output.
lower.tail	logical. If FALSE, use upper tail probabilities.
log.p	logical. If TRUE, uses the log of probabilities.
xlim, ylim	limits for plotting.
manipulate	logical. If TRUE and in RStudio, then sliders are added for interactivity.
...	additional arguments.
return	If "plot", return a plot. If "values", return a vector of numerical values.
p	probability
pattern	One of "stripes" or "rings". In the latter case, pairs of regions (from inside to outside) are grouped together for coloring and probability calculation.

See Also

lattice::histogram(), chisq.test(), pnorm(), qnorm(), lattice::qqmath(), and plot().

Examples

xpnorm(650, 500, 100)
xqnorm(.75, 500, 100)
xpnorm(-3:3, return = "plot", system = "gg") |> 
  gf_labs(title = "My Plot", x = "") |> 
  gf_theme(theme_bw())

## Not run: 
if (rstudio_is_available() & require(manipulate)) {
  manipulate(xpnorm(score, 500, 100, verbose = verbose),
    score = slider(200, 800),
	   verbose = checkbox(TRUE, label = "Verbose Output")
  )
}

## End(Not run)

mosaic documentation built on Aug. 8, 2025, 7:54 p.m.