  The problem of testing the goodness of fit of an absolutely continuous
distribution to a set of observations grouped into equal probability intervals,
against to a family of sequences of alternatives approaching the hypothesis is
considered. We focus our study to the asymptotic intermediate efficiency (AIE)
due to Inglot (1999) of the chi-squared and log-likelihood ratio tests. It is
assumed that the number of groups increases together with the number of
observations.
