کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1154870 | 958418 | 2007 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Chain graphs for multilevel models
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آمار و احتمال
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we propose a way to incorporate multilevel models within graphical models. We introduce three types of nodes for chain graphs to represent (1) individual within clusters, (2) clusters as latent variables and (3) interactive effects. In this way, the chain graph shows both the associations among individuals introduced by clusters and the random coefficients of a multilevel model. Then, independencies implied by the model can be read off the chain graph as well as the additional independence constraints under which the multilevel model reduces to a fixed effect regression model. The paper focuses on hierarchical Gaussian data structures, considering two-level models.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 77, Issue 3, 1 February 2007, Pages 312–318
Journal: Statistics & Probability Letters - Volume 77, Issue 3, 1 February 2007, Pages 312–318
نویسندگان
Anna Gottard, Carla Rampichini,