Distributed Analysis for Horizontally Partitioned Data Sample Clauses

Distributed Analysis for Horizontally Partitioned Data. Horizontally partitioned data emerge when several institutions (sites) gather the same collection of information on various entities. For example, the Behavioral Risk Factor Surveillance System (BRFSS) operates state-wise telephone surveys to gather the same set of information on health-related risk behaviors across the United States. Correspondingly, the BRFSS data within each state are considered horizontally partitioned. Assume the data consist response vector Y and design matrix X, such that:  Y site1   Xsite1  Y =  .  , X =  .  , Y xxxxX  XsiteK  where Y xxxxx and Xsitek (1 ≤ k ≤ K) are data from institution k. We first consider distributed linear regression for horizontally partitioned data. Sup-
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