Z_LINEAR_K provides the asymptotical inferences (tests and confidence intervals) for the parameters L=β1×p1+...+βK×pK (a linear function of K independent proportions) or R=p2/p1 (the relative risk), by means of the optimal procedures and the score procedure.
Additionally, the program also determines the contrast
{βi0} (Σ βi0 = 0) that makes the maximum of the score statistic (which provides a homogeneity test for 2×K tables alternative to the classical Pearson chi-squared).