کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1150652 957971 2007 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Consistency and asymptotic normality of the estimated effective doses in bioassay
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Consistency and asymptotic normality of the estimated effective doses in bioassay
چکیده انگلیسی
In order to estimate the effective dose such as the 0.5 quantile ED50 in a bioassay problem various parametric and semiparametric models have been used in the literature. If the true dose-response curve deviates significantly from the model, the estimates will generally be inconsistent. One strategy is to analyze the data making only a minimal assumption on the model, namely, that the dose-response curve is non-decreasing. In the present paper we first define an empirical dose-response curve based on the estimated response probabilities by using the “pool-adjacent-violators” (PAV) algorithm, then estimate effective doses ED100p for a large range of p by taking inverse of this empirical dose-response curve. The consistency and asymptotic distribution of these estimated effective doses are obtained. The asymptotic results can be extended to the estimated effective doses proposed by Glasbey [1987. Tolerance-distribution-free analyses of quantal dose-response data. Appl. Statist. 36 (3), 251-259] and Schmoyer [1984. Sigmoidally constrained maximum likelihood estimation in quantal bioassay. J. Amer. Statist. Assoc. 79, 448-453] under the additional assumption that the dose-response curve is symmetric or sigmoidal. We give some simulations on constructing confidence intervals using different methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 137, Issue 3, 1 March 2007, Pages 643-658
نویسندگان
, ,