R: A 'link-glm' object for misclassified responses in binomial...

mis {brglm2} | R Documentation

## A `link-glm` object for misclassified responses in binomial regression models

### Description

`mis` is a `link-glm` object that specifies the link function in Neuhaus (1999, expression~(8)) for handling misclassified responses in binomial regression models using maximum likelihood. A prior specification of the sensitivity and specificity is required.

### Usage

    mis(link = "logit", sensitivity = 1, specificity = 1)

### Arguments

`link` | the baseline link to be used.
`sensitivity` | the probability of observing a success given that a success actually took place given any covariate values.
`specificity` | the probability of observing a failure given that a failure actually took place given any covariate values.

### Details

`sensitivity` + `specificity` should be greater or equal to 1, otherwise it is implied that the procedure producing the responses performs worse than chance in terms of misclassification.

### References

Neuhaus J M (1999). Bias and efficiency loss due to misclassified responses in binary regression. Biometrika, **86**, 843-855 https://www.jstor.org/stable/2673589

### See Also

`glm`, `brglm_fit`

### Examples

    ## Define a few links with some misclassification
    logit_mis <- mis(link = "logit", sensitivity = 0.9, specificity = 0.9)

    lizards_f <- cbind(grahami, opalinus) ~ height + diameter + light + time

    lizardsML <- glm(lizards_f, family = binomial(logit), data = lizards)

    lizardsML_mis <- update(lizardsML, family = binomial(logit_mis),
                            start = coef(lizardsML))

    ## A notable change is coefficients is noted here compared to when
    ## specificity and sensitity are 1
    coef(lizardsML)
    coef(lizardsML_mis)

    ## Bias reduction is also possible
    update(lizardsML_mis, method = "brglmFit", type = "AS_mean",
           start = coef(lizardsML))

    update(lizardsML_mis, method = "brglmFit", type = "AS_median",
           start = coef(lizardsML))

[Package brglm2 version 0.7.0 Index]