LINK Subcommand (PLUM command)

The LINK subcommand offers five link functions to specify the model.

  • If LINK is not specified, LOGIT is the default.
  • The five keywords are mutually exclusive. Only one of them can be specified and only once.

CAUCHIT. Cauchit function. f(x) = tan(π(x – 0.5)).

CLOGLOG. Complementary log-log function. f(x) = log(– log(1 – x)).

LOGIT. Logit function. f(x) = log(x / (1 – x)). This is the default link function.

NLOGLOG. Negative log-log function. f(x) = –log(– log(x)).

PROBIT. Probit function. f(x) = Φ -1(x), where Φ -1 is the inverse standard normal cumulative distribution function.