Poverty dominance analysis uses stochastic dominance to provide rankings of
distributions in terms of poverty which are not sensitive to the choice of
poverty line. This analysis is carried out for Ireland using Household Bud
get Survey data for 1987 and 1994 including tests for the statistical signi
ficance of the results. We find that for a wide range of absolute poverty l
ines, poverty in Ireland fell over the 1987-1994 period. When relative pove
rty lines are used, second-order dominance for 1987 over 1994 is found for
the case of expenditure and third-order dominance for 1994 over 1987 for th
e case of income.