login

Exact Tests for Trends in Ordered Contingency Tables

Journal of the Royal Statistical Society Series C (Applied Statistics)Published 1 January 1982
W. M. Patefield
Citations49
SJR quartileQ2
SJR score0.65
SNIP0.78

Abstract

SUMMARY In an r x c table the probability of a particular outcome conditioned on fixed marginal totals depends on v = (r -1) (c-1) odds-ratio parameters and hence tests of Ho no association against a general alternative have 2V tails. Exact conditional tests are developed for alternatives in which the odds-ratios take restricted values according to the practical context. Use of the appropriate test can lead to substantial increases in power. An exact test based on the x2 trend statistic is recommended on the grounds of power and computational feasibility.

Keywords

Mathematics