# Cox model for cause-specific mortality for melanoma (all stages)

Use Cox regression to model the cause-specific survival of patients with skin melanoma (including all stages).

You may have to install the required packages the first time you use them. You can install a package by `install.packages("package_of_interest")` for each package you require.

Load the melanoma data and explore it.

## (a)

First fit the model with sex as the only explanatory variable. Does there appear to be a difference in survival between males and females?

## (b)

Is the effect of sex confounded by other factors (e.g. age, stage, subsite, period)? After controlling for potential confounders, does there still appear to a difference in survival between males and females?

## (c)

Consider the hypothesis that there exists a class of melanomas where female sex hormones play a large role in the etiology. These hormone related cancers are diagnosed primarily in women and are, on average, less aggressive (i.e., prognosis is good). If such a hypothesis were true we might expect the effect of sex to be modified by age at diagnosis (e.g., pre versus post menopausal). Test whether this is the case.

## (d)

Decide on a ‘most appropriate’ model for these data. Be sure to evaluate the proportional hazards assumption.