Plot Diagnostics for a gnm Object
Five plots are available: a plot of residuals against fitted values, a Scale-Location plot of sqrt{| residuals |} against fitted values, a Normal Q-Q plot, a plot of Cook's distances versus row labels, and a plot of residuals against leverages. By default, all except the fourth are produced.
## S3 method for class 'gnm' plot(x, which = c(1:3, 5), caption = c("Residuals vs Fitted", "Normal Q-Q", "Scale-Location", "Cook's distance", "Residuals vs Leverage"), panel = if (add.smooth) panel.smooth else points, sub.caption = NULL, main = "", ask = prod(par("mfcol")) < length(which) && dev.interactive(), ..., id.n = 3, labels.id = names(residuals(x)), cex.id = 0.75, qqline = TRUE, cook.levels = c(0.5, 1), add.smooth = getOption("add.smooth"), label.pos = c(4, 2), cex.caption = 1)
x |
a |
which |
a subset of the numbers 1:5 specifying which plots to produce (out of those listed in Description section). |
caption |
captions to appear above the plots. |
panel |
panel function. The useful alternative to |
sub.caption |
common title - above figures if there are
multiple; used as |
main |
title to each plot - in addition to the above |
ask |
logical; if |
... |
other parameters to be passed through to plotting functions. |
id.n |
number of points to be labelled in each plot starting with the most extreme. |
labels.id |
vector of labels, from which the labels for extreme
points will be chosen. |
cex.id |
magnification of point labels. |
qqline |
logical indicating if a |
cook.levels |
levels of Cook's distance at which to draw contours. |
add.smooth |
logical indicating if a smoother should be added to
most plots; see also |
label.pos |
positioning of labels, for the left half and right half of the graph respectively, for plots 1-3. |
cex.caption |
controls the size of 'caption'. |
sub.caption
- by default the function call - is shown as a subtitle
(under the x-axis title) on each plot when plots are on separate
pages, or as a subtitle in the outer margin (if any) when there
are multiple plots per page.
The "Scale-Location" plot, also called "Spread-Location" or "S-L" plot, takes the square root of the absolute residuals in order to diminish skewness (sqrt{| E |} is much less skewed than | E | for Gaussian zero-mean E).
The S-L, the Q-Q, and the Residual-Leverage plot, use
standardized residuals which have identical variance (under the
hypothesis). They are given as R[i]
/ (s*sqrt(1 - h.ii)) where h.ii are the diagonal
entries of the hat matrix, influence()$hat
, see also
hat
.
The Residual-Leverage plot shows contours of equal Cook's
distance, for values of cook.levels
(by default 0.5 and 1) and
omits cases with leverage one. If the leverages are constant, as
typically in a balanced aov
situation, the plot uses factor
level combinations instead of the leverages for the x-axis.
Modification of plot.lm
by the R Core Team. Adapted
for "gnm"
objects by Heather Turner.
set.seed(1) ## Fit an association model with homogeneous row-column effects RChomog <- gnm(Freq ~ origin + destination + Diag(origin, destination) + MultHomog(origin, destination), family = poisson, data = occupationalStatus) ## Plot model diagnostics plot(RChomog) ## Put 4 plots on 1 page; allow room for printing model formula in outer margin: par(mfrow = c(2, 2), oma = c(0, 0, 3, 0)) title <- paste(deparse(RChomog$formula, width.cutoff = 50), collapse = "\n") plot(RChomog, sub.caption = title) ## Fit smoother curves plot(RChomog, sub.caption = title, panel = panel.smooth) plot(RChomog, sub.caption = title, panel = function(x,y) panel.smooth(x, y, span = 1))
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