shadePhat: Displays Area Under Curve of Probability Density Function of... In fastGraph: Fast Drawing and Shading of Graphs of Statistical Distributions

Description

This function plots a probability density function of a sample proportion, shades the area under the curve, and computes the probability.

Usage

 ```1 2 3``` ```shadePhat(xshade = NULL, size = 1, prob = 0.5, lower.tail = TRUE, xmin = 0, xmax = 1, xlab = expression(hat(p)), xtic = TRUE, digits.prob = 4, digits.xtic = 3, main = NULL, col = c("black", "hotpink"), lwd = 5, ...) ```

Arguments

 `xshade` A single number or vector of two numbers, denoting values on the x-axis where shading under the curve begins and ends. `size` Number of Bernoulli trials (one or more). `prob` Probability of Bernoulli success. `lower.tail` Logical; if `TRUE` (default), the lowest region is shaded; otherwise, the next lowest region is shaded. `xlab` The label given to the sample proportion on the x-axis. `xmin` The minimum x-value to be graphed. `xmax` The maximum x-value to be graphed. `xtic` Logical or a vector of numbers. If `xtic` is `TRUE` (default), then the numbers on the x-axis include the median and `xshade`. If `xtic` is `TRUE`, then the default numbers from `plot` are listed on the x-axis. If `xtic` is a vector of numbers, then these numbers are listed on the x-axis. `digits.prob` The number of significant digits listed in the probability. `digits.xtic` The number of significant digits listed on the x-axis. `main` The main title given for the graph. `col` A vector of size two, specifying the colors of the density curve and the shading, respectively. `lwd` The line width illustrating the discrete probabilities. `...` Optional arguments to be passed to the `plot` function (see `par`).

Details

When illustrating a left-sided p-value or any other left-sided probability, `xshade` should be a single number and set `lower.tail=TRUE` (default). When illustrating a right-sided p-value or any other right-sided probability, `xshade` should be a single number and set `lower.tail=FALSE`. When illustrating a two-sided p-value or any other two-sided probability, `xshade` should be a vector of two numbers and set `lower.tail=TRUE` (default). When illustrating the complement of a two-sided p-value or the complement of any other two-sided probability, `xshade` should be a vector of two numbers and set `lower.tail=FALSE`.

This function `shadePhat` can be executed directly or indirectly via `shadeDist`.

Note

This function `shadePhat` calls functions `plot` and `curve`.

Author(s)

Steven T. Garren, James Madison University, Harrisonburg, Virginia, USA

`shadeDist`
 ```1 2 3 4 5``` ```shadePhat( 0.3, 20, 0.4 ) shadePhat( 0.3, 20, 0.4, lower.tail = FALSE ) shadePhat( c(0.65, 0.75), 30, 0.7, col=c("purple","orange") ) shadePhat( c(0.65, 0.75), 30, 0.7, lower.tail = FALSE ) shadePhat( c(0.3, 0.4), 50, 0.35, xmin=0.1, xmax=0.6, col=c("blue","lightgreen") ) ```