کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1147768 | 957793 | 2011 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Estimating and testing conditional sums of means in high dimensional multivariate binary data
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
We study the estimation of the strength of signals corresponding to the high valued observations in multivariate binary data. These problems can arise in a variety of areas, such as mass spectrometry or function magnetic resonance imaging (fMRI), where the underlying signals could be interpreted as a proxy for biochemical or physiological response to a condition or treatment. More specifically, the problem we consider involves estimating the sum of a collection of binomial probabilities corresponding to large values of the associated binomial random variables. We emphasize the case where the dimension is much greater than the sample size, and most of the probabilities of the events of interest are close to zero. Two estimation approaches are proposed: conditional maximum likelihood and nonparametric empirical Bayes. We use these estimators to construct a test of homogeneity for two groups of high dimensional multivariate binary data. Simulation studies on the size and power of the proposed tests are given, and the tests are demonstrated using mass spectrometry data from a breast cancer study.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 141, Issue 2, February 2011, Pages 1021-1030
Journal: Journal of Statistical Planning and Inference - Volume 141, Issue 2, February 2011, Pages 1021-1030
نویسندگان
Junyong Park, J. Wade Davis,