Consider stratified data in which Yi1,...,Yini denote real-valued response variables corresponding to the observations from stratum i, i=1,...,m and suppose that Yij follows an exponential family distribution with canonical parameter of the form [theta]ij=xij[beta]+[gamma]i. In analyzing data of...

An integrated likelihood depends only on the parameter of interest and the data, so it can be used as a standard likelihood function for likelihood-based inference. In this paper, the higher-order asymptotic properties of the signed integrated likelihood ratio statistic for a scalar parameter of...