Two-sample tests of high-dimensional means for compositional data
نویسندگان
چکیده
منابع مشابه
Two-Sample Tests for High Dimensional Means with Thresholding and Data Transformation∗
We consider testing for two-sample means of high dimensional populations by thresholding. Two tests are investigated, which are designed for better power performance when the two population mean vectors differ only in sparsely populated coordinates. The first test is constructed by carrying out thresholding to remove the non-signal bearing dimensions. The second test combines data transformatio...
متن کاملSupplemental Material: Two-Sample Tests for High Dimensional Means with Thresholding and Data Transformation
The supplement provides the proofs of Lemmas 1-8 and Theorems 1-3, which are omitted in the original paper. More simulation studies based on Gamma distribution are demonstrated to compare the powers of six tests. 1. PROOFS OF LEMMAS 1-8 Lemma 1. We denote δk = μ1k − μ2k. As x = o(n 1 3 ), P(nTnk + 1 > x) = {1 + o(1)}I( √ n|δk| > √ x) + [ Φ̄( √ x− √ n|δk|) + Φ̄( √ x+ √ n|δk|) ] {1 +O(n−1/6) +O( 3/...
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ژورنال
عنوان ژورنال: Biometrika
سال: 2017
ISSN: 0006-3444,1464-3510
DOI: 10.1093/biomet/asx060