survobrien             package:survival             R Documentation

O'Brien's Test for Association of a Single Variable with Survival

Description:

     Peter O'Brien's test for association of a single variable with
     survival This test is proposed in Biometrics, June 1978.

Usage:

     survobrien(formula, data)

Arguments:

 formula: a valid formula for a cox model, without time dependent
          covariates. 

    data: a data frame. 

Value:

     a new data frame.  The original time and status variables are
     removed, and have been replaced with 'start', 'stop', and 'event'.
      If a predictor variable is a factor or is protected with 'I()',
     it is retained as is.  Other predictor variables have been
     replaced with time-dependent logit scores.

     Because of the time dependent variables, the new data frame will
     have many more rows that the original data, approximately #rows *
     #deaths /2.

METHOD:

     A time-dependent cox model can now be fit to the new data. The
     univariate statistic, as originally proposed, is equivalent to
     single variable score tests from the time-dependent model. This
     equivalence is the rationale for using the time dependent model as
     a multivariate extension of the original paper.

     In O'Brien's method, the x variables are re-ranked at each death
     time.  A simpler method, proposed by Prentice, ranks the data only
     once at the start. The results are usually similar.

References:

     O'Brien, Peter, "A Nonparametric Test for Association with
     Censored Data", _Biometrics_ 34: 243-250, 1978.

See Also:

     'survdiff'

Examples:

     xx <- survobrien(Surv(futime, fustat) ~ age + factor(rx) + I(ecog.ps),
                                    data=ovarian)
     coxph(Surv(start, stop, event) ~ age, data=xx)
     coxph(Surv(start, stop, event) ~ age + rx + ecog.ps, data=xx)

