regTermTest {survey} R Documentation

## Wald test for a term in a regression model

### Description

Provides Wald test and working likelihood ratio (Rao-Scott) test of the hypothesis that all coefficients associated with a particular regression term are zero (or have some other specified values). Particularly useful as a substitute for `anova` when not fitting by maximum likelihood. The Wald tests use a chisquared or F distribution, the LRT uses a linear combination of chisquared distributions as in `pchisqsum`.

### Usage

```regTermTest(model, test.terms, null=NULL,df=Inf, method=c("Wald","LRT"))
```

### Arguments

 `model` A model object with `coef` and `vcov` methods `test.terms` Character string or one-sided formula giving name of term or terms to test `null` Null hypothesis values for parameters. Default is zeros `df` Denominator degrees of freedom for an F test. If `NULL` these are estimated from the model `method` If `"Wald"`, the Wald-type test; if `"LRT"` the Rao-Scott test based on the estimated log likelihood ratio

### Value

An object of class `regTermTest` or `regTermTestLRT`.

### References

Rao, JNK, Scott, AJ (1984) "On Chi-squared Tests For Multiway Contingency Tables with Proportions Estimated From Survey Data" Annals of Statistics 12:46-60.

`anova`, `vcov`, `contrasts`,`pchisqsum`

### Examples

``` data(esoph)
model1 <- glm(cbind(ncases, ncontrols) ~ agegp + tobgp *
alcgp, data = esoph, family = binomial())
anova(model1)

regTermTest(model1,"tobgp")
regTermTest(model1,"tobgp:alcgp")
regTermTest(model1, ~alcgp+tobgp:alcgp)

data(api)
dclus2<-svydesign(id=~dnum+snum, weights=~pw, data=apiclus2)
model2<-svyglm(I(sch.wide=="Yes")~ell+meals+mobility, design=dclus2, family=quasibinomial())
regTermTest(model2, ~ell)
regTermTest(model2, ~ell,df=NULL)
regTermTest(model2, ~ell, method="LRT")
regTermTest(model2, ~ell+meals, method="LRT")
```

[Package survey version 3.18 Index]