کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1145747 1489670 2014 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Phi-divergence statistics for the likelihood ratio order: An approach based on log-linear models
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز عددی
پیش نمایش صفحه اول مقاله
Phi-divergence statistics for the likelihood ratio order: An approach based on log-linear models
چکیده انگلیسی

When some treatments are ordered according to the categories of an ordinal categorical variable (e.g., extent of side effects) in a monotone order, one might be interested in knowing whether the treatments are equally effective or not. One way to do that is to test if the likelihood ratio order is strictly verified. A method based on log-linear models is derived to make statistical inference and phi-divergence test-statistics are proposed for the test of interest. Focused on log-linear modeling, the theory associated with the asymptotic distribution of the phi-divergence test-statistics is developed. An illustrative example motivates the procedure and a simulation study for small and moderate sample sizes shows that it is possible to find phi-divergence test-statistic with an exact size closer to nominal size and higher power in comparison with the classical likelihood ratio.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Multivariate Analysis - Volume 130, September 2014, Pages 387–408
نویسندگان
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