# anova.rsm: ANOVA Table for a RSM Object In hoa: Higher Order Likelihood Inference

## Description

This is a method for the function `anova()` for objects inheriting from class `rsm`. See `anova` for the general behaviour of this function.

## Usage

 ```1 2``` ```## S3 method for class 'rsm' anova(object, ..., test = c("Chisq", "none")) ```

## Details

When called with a single `rsm` object, `anova.rsm` may take a while to run, because it fully iterates a series of `rsm` models. The series is constructed by successively adding to the null model all the terms in `object`, taken in the order they appear in `terms(object)`.

## Note

For each term minus twice the log likelihood is returned instead of the residual sum of squares. The degrees of freedom change according to whether the scale parameter is known or not.

`anova`, `rsm.object`, `rsm`

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19``` ```## Sea Level Data data(venice) attach(venice) Year <- 1:51/51 c11 <- cos(2*pi*1:51/11) ; s11 <- sin(2*pi*1:51/11) c19 <- cos(2*pi*1:51/18.62) ; s19 <- sin(2*pi*1:51/18.62) venice.p <- rsm(sea ~ Year + I(Year^2) + c11 + s11 + c19 + s19, family = extreme) anova(venice.p) ## venice.l <- rsm(sea ~ Year + I(Year^2), family = extreme) anova(venice.p, venice.l) ## detach() ## House Price Data data(houses) houses.rsm <- rsm(price ~ ., family = student(5), data = houses) anova(houses.rsm) ```

### Example output

```Analysis of Deviance Table

Error distribution: extreme
Scale parameter: free (1 df lost for fitting)
Response: sea

Terms added sequentially (first to last)
Df Deviance Resid. Df  -2*LL  Pr(>Chi)
NULL                         49 446.33
Year       1  14.1006        48 432.23 0.0001733 ***
I(Year^2)  1   0.0337        47 432.20 0.8542665
c11        1  14.1302        46 418.06 0.0001706 ***
s11        1   3.9869        45 414.08 0.0458541 *
c19        1   2.9914        44 411.09 0.0837076 .
s19        1   2.0166        43 409.07 0.1555920
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Analysis of Deviance Table

Error distribution: extreme
Scale parameter: free (1 df lost for fitting)
Response: sea

Model 1: Year + I(Year^2) + c11 + s11 + c19 + s19
Model 2: Year + I(Year^2)
Resid. Df  -2*LL Df Deviance  Pr(>Chi)
1        43 409.07
2        47 432.20  4   23.125 0.0001195 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Analysis of Deviance Table

Error distribution: student
Scale parameter: free (1 df lost for fitting)
Response: price

Terms added sequentially (first to last)
Df Deviance Resid. Df  -2*LL Pr(>Chi)
NULL                      24 205.56
bdroom  1   3.7962        23 201.77  0.05137 .
floor   1  17.3924        22 184.38 3.04e-05 ***
rooms   1   5.4057        21 178.97  0.02007 *
front   1   2.2779        20 176.69  0.13123
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
```

hoa documentation built on May 2, 2019, 8:56 a.m.