Key points are not available for this paper at this time.
John J. Gart, Robert E. Tarone, N. E. Day, D. P. Byar, The Relation between Score Tests and Approximate UMPU Tests in Exponential Models Common in Biometry, Biometrics, Vol. 39, No. 3 (Sep., 1983), pp. 781-786
Gart et al. (Thu,) studied this question.