Wuttichai SrisodapholMontip TiensuwanBimal K. SinhaMahidol UniversityUniversity of Maryland, Baltimore County2018-05-032018-05-032011-03-28Model Assisted Statistics and Applications. Vol.6, No.1 (2011), 21-38157416992-s2.0-79952975501https://repository.li.mahidol.ac.th/handle/20.500.14594/12145Standard dose response models, namely, the multistage Weibull, logistic and log-logistic models are considered. These models involve two parameters θ 0 and θ 1 , and we assume θ 0 to be known. The maximum likelihood and Berkson's minimum chi-square methods are employed to estimate the parameter θ 1 in each model. The mean squared errors of the maximum likelihood and Berkson's minimum chi-square estimators θ̂ 1 are derived asymptotically to the order of approximation n -2 . The results show that the mean squared errors of the maximum likelihood and Berkson's minimum chi-square estimators behave differently for different dose groups and dose levels. © 2011 - IOS Press and the authors. All rights reserved.Mahidol UniversityMathematicsArticleSCOPUS10.3233/MAS-2011-0161