anm.ls: Animated plot of least squares function.

Description

Depicts the process of least squares estimation by plotting the least squares function with respect to a vector of estimate possibilities.

Usage

anm.ls(X, poss=NULL, parameter = "mu", est.lty = 2, est.col = 2,
conv=diff(range(X))/50, anim=TRUE, plot.lsfunc = TRUE, plot.res = TRUE, 
interval=0.01, xlab=expression(paste("Estimates for ", italic(E),
"(",italic(X),")", sep = "")),...)
anm.ls.tck()

Value

A plot of the least squares function is returned along with the least squares estimate for E(X) given a set of possibilities. The function anm.ls.tck provides a GUI to run the function.

Arguments

X: A numeric vector containing sample data.
poss: An ordered numeric sequence of possible parameter estimates. Inclusion of the least squares estimate in the vector (e.g. \(\bar{X}\) for \(\mu\) will cause the least squares function be minimized at this value.
parameter: Parameter to be estimated. Only estimation for E(X) is currently implemented. Note that if X ~ N(\(\mu\),\(\sigma^2\)) then E(X) = \(\mu\).
est.lty: Line type to be used to indicate the least squares estimate.
est.col: Line color to be used to indicate the least squares estimate.
conv: Precision of LS function. Decreasing conv increases the smoothness and precision of the function.
anim: A logical command indicating whether animation should be used in plots.
plot.lsfunc: A logical command indicating whether the least-squares function should be plotted.
plot.res: A logical command indicating whether a plot of residuals should be created.
interval: Speed of animation (in frames per second). A smaller interval decreases speed. May not work in all systems; see Sys.sleep.
xlab: X-axis label.
...: Additional arguments to plot

Author

Ken Aho

Examples

Run this code

if (FALSE) X<-c(11.2,10.8,9.0,12.4,12.1,10.3,10.4,10.6,9.3,11.8)
anm.ls(X)