plotly_multitol: Plotting Tolerance Region for Multivariate Distributions

Description

Provides interactive tolerance region on multivariate continuous data.

Usage

plotly_multitol(tol.out,
               x,
               x.lab = NULL,
               x.lab.size = NULL,
               y.lab = NULL,
               y.lab.size = NULL,
               z.lab = NULL,
               z.lab.size = NULL,
               x.tick.size = NULL,
               y.tick.size = NULL,
               z.tick.size = NULL,
               x.col = NULL,
               x.cex = NULL,
               tol.col = NULL,
               tol.lwd = NULL,
               tol.line.type = c("dash","dot","dashdot","solid"),
               title = NULL,
               title.position.x = NULL,
               title.position.y = NULL,
               title.size = NULL)

Value

plotly_multitol returns tolerance regions for both bivariate and trivariate continuous data.

Arguments

tol.out: Output from mvtol.region for multivariate data.
x: Multivariate data from continuous distributions.
x.lab: Label of the x-axis.
x.lab.size: Size of label of the x-axis.
y.lab: Label of the y-axis.
y.lab.size: Size of label of the y-axis.
z.lab: Label of the z-axis.
z.lab.size: Size of label of the z-axis.
x.tick.size: Size of tick marks on the x-axis.
y.tick.size: Size of tick marks on the y-axis.
z.tick.size: Size of tick marks on the z-axis.
x.col: Color of original data points.
x.cex: Size of original data points.
tol.col: Color of the tolerance region.
tol.lwd: Width of boundary of the tolerance region when data is bivariate.
tol.line.type: Line type of the tolerance region for bivariate data.
title: The main title on top of the plot.
title.size: Size of the title.
title.position.x: Horizontal position of the title.
title.position.y: Vertical position of the title.

References

Krishnamoorthy, K. and Mathew, T. (1999), Comparison of Approximation Methods for Computing Tolerance Factors for a Multivariate Normal Population, Technometrics, 41, 234--249.

Krishnamoorthy, K. and Mondal, S. (2006), Improved Tolerance Factors for Multivariate Normal Distributions, Communications in Statistics - Simulation and Computation, 35, 461--478.

Examples

Run this code

## 90%/90% bivariate normal tolerance region.
set.seed(100)
x1 <- rnorm(100, 0, 0.2)
x2 <- rnorm(100, 0, 0.5)
x <- cbind(x1, x2)
out1 <- mvtol.region(x = x, alpha = 0.10, P = 0.90, B = 1000,
                     method = "KM")
out1
plotly_multitol(out1, x , x.lab = "X1" , y.lab = "X2")

## 90%/90% trivariate normal tolerance region.
set.seed(100)
x1 <- rnorm(100, 0, 0.2)
x2 <- rnorm(100, 0, 0.5)
x3 <- rnorm(100, 5, 1)
x <- cbind(x1, x2, x3)
mvtol.region(x = x, alpha = c(0.10, 0.05, 0.01),
             P = c(0.90, 0.95, 0.99), B = 1000, method = "KM")
out2 <- mvtol.region(x = x, alpha = 0.10, P = 0.90, B = 1000,
                     method = "KM")
out2
plotly_multitol(out2, x , x.lab = "X1" , y.lab = "X2" , z.lab = "X3",
                title.position.x = 0.57)