Plot the log-likelihood surface with respect to two parameters.

## Arguments

- x
Output from

`msm`

, representing a fitted msm model.- params
Integer vector with two elements, giving the indices of the parameters to vary. All other parameters will be fixed. Defaults to

`c(1,2)`

, representing the first two log transition intensities. See the`fixedpars`

argument to`msm`

for a definition of these indices.- np
Number of grid points to use in each direction, by default 10. An

`np x np`

grid will be used to evaluate the likelihood surface. If 100 likelihood function evaluations is slow, then reduce this.- type
Character string specifying the type of plot to produce.

`"contour"`

Contour plot, using the R function `contour`

.`"filled.contour"`

Solid-color contour plot, using the R function `filled.contour`

.`"persp"`

Perspective plot, using the R function `persp`

.`"image"`

Grid color plot, using the R function `image`

.- point
Vector of length

`n`

, where`n`

is the number of parameters in the model, including the parameters that will be varied here. This specifies the point at which to fix the likelihood. By default, this is the maximum likelihood estimates stored in the fitted model`x`

,`x$estimates`

.- xrange
Range to plot for the first varied parameter. Defaults to plus and minus two standard errors, obtained from the Hessian at the maximum likelihood estimate.

- yrange
Range to plot for the second varied parameter. Defaults to plus and minus two standard errors, obtained from the Hessian at the maximum likelihood estimate.

- ...
Further arguments to be passed to the plotting function.

## Details

Draws a contour or perspective plot. Useful for diagnosing irregularities
in the likelihood surface. If you want to use these plots before running
the maximum likelihood estimation, then just run `msm`

with all
estimates fixed at their initial values.

`contour.msm`

just calls surface.msm with `type = "contour"`

.

`persp.msm`

just calls surface.msm with `type = "persp"`

.

`image.msm`

just calls surface.msm with `type = "image"`

.

As these three functions are methods of the generic functions
`contour`

, `persp`

and `image`

, they can be invoked as
`contour(x)`

, `persp(x)`

or `image(x)`

, where `x`

is a
fitted `msm`

object.

## See also

`msm`

, `contour`

,
`filled.contour`

, `persp`

, `image`

.

## Author

C. H. Jackson chris.jackson@mrc-bsu.cam.ac.uk