  Recent research has shown that interval estimators with good coverage
properties are achievable for some functions of quantiles, even when sample
sizes are not large. Motivated by this, we consider interval estimators for the
ratios of independent quantiles and interquantile ranges that will be useful
when comparing location and scale for two samples. Simulations show that the
intervals have excellent coverage properties for a wide range of distributions,
including those that are heavily skewed. Examples are also considered that
highlight the usefulness of using these approaches to compare location and
scale.
