We discuss two diagnostic methods for assessing the accuracy of the normal
approximated confidence region to the likelihood-based confidence region fo
r the Cox proportional hazards model with censored data. The proposed diagn
ostic methods are extensions of the contour measures of Hedges (1987, Journ
al of the American Statistical Association 82, 149-154) and Cook and Tsai (
1990, Journal of the American Statistical Association 85, 770-777) and the
curvature measures of Jennings (1986, Journal of the American Statistical A
ssociation 81, 471-476) and Cook and Tsai (1990). These methods are also il
lustrated in a study of hepatocyte growth factor in patients with lung canc
er and a Mayo Clinic randomized study of participants with primary biliary
cirrhosis.