Journal of the American Statistical Association volume 82, issue 400, P1098-1103 1987 DOI: 10.1080/01621459.1987.10478545 View full text
Salomon Minkin

Abstract: This article is concerned with the problem of selecting the values of the explanatory variable in logistic regression to obtain likelihood-based confidence regions of minimum area. One way of finding analytic solutions is by replacing the log-likelihood by a quadratic surface around the maximum, approximating in this way the likelihood regions by ellipses. The optimal allocation for this local approximation is derived without unnecessary restrictions. Since the implementation of the optimal allocation require…

expand abstract