# Residuals for MANYGLM, MANYANY, GLM1PATH Fits

### Description

Obtains Dunn-Smyth residuals from a fitted `manyglm`

, `manyany`

or `glm1path`

object.

### Usage

1 2 |

### Arguments

`object` |
a fitted object of class inheriting from |

`...` |
further arguments passed to or from other methods. |

### Details

`residuals.manyglm`

computes Randomised Quantile or “Dunn-Smyth" residuals (Dunn
& Smyth 1996) for a `manyglm`

object. If the fitted model is correct then Dunn-Smyth residuals
are standard normal in distribution.

Similar functions have been written to compute Dunn-Smyth residuals from `manyany`

and `glm1path`

objects.

Note that for discrete data, Dunn-Smyth residuals involve random number generation, and will not return identical results on replicate runs. Hence it is worth calling this function multiple times to get a sense for whether your interpretation of results holds up under replication.

### Value

A matrix of Dunn-Smyth residuals.

### Author(s)

David Warton <David.Warton@unsw.edu.au>.

### References

Dunn, P.K., & Smyth, G.K. (1996). Randomized quantile residuals. Journal of Computational and Graphical Statistics 5, 236-244.

### See Also

`manyglm`

, `manyany`

, `glm1path`

, `plot.manyglm`

.

### Examples

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 | ```
data(spider)
spiddat <- mvabund(spider$abund)
X <- spider$x
## obtain residuals for Poisson regression of the spider data, and doing a qqplot:
glmP.spid <- manyglm(spiddat~X, family="poisson")
resP <- residuals(glmP.spid)
qqnorm(resP)
qqline(resP,col="red")
#clear departure from normality.
## try again using negative binomial regression:
glmNB.spid <- manyglm(spiddat~X, family="negative.binomial")
resNB <- residuals(glmNB.spid)
qqnorm(resNB)
qqline(resNB,col="red")
#that looks a lot more promising.
#note that you could construct a similar plot directly from the manyglm object using
plot(glmNB.spid, which=2)
``` |