کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5129618 1489744 2016 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Model fitting and optimal design for a class of binary response models
ترجمه فارسی عنوان
اتصالات مدل و طراحی بهینه برای یک کلاس از مدل پاسخ باینری
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی


- A class of binary response models is presented.
- The odds ratios on response are linear functions of explanatory variables.
- Closed form solutions of the maximum likelihood estimating equations are obtained.
- Locally optimal designs are given.
- Designs are compared for their model discrimination ability.

A class of binary response models is considered for describing the data on a response variable having two possible outcomes and q explanatory variables when the odds ratios on the response are a linear function of the explanatory variables. The models provide the closed form solutions of the maximum likelihood estimating equations for the parameter estimation under a Bernoulli setup. A data example is presented to demonstrate the better goodness of fit of a model within this class in comparison with the logit, probit, and complimentary log-log models. The design conditions are given and locally optimal designs are presented for some special cases under the D-, A-, and E-, optimality criterion functions. Two designs, one efficient for identifying one model and other efficient for identifying another model, are then compared for their discrimination abilities between two models even before the data collection.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 179, December 2016, Pages 22-35
نویسندگان
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