Due to the advance in technology, the type of data is getting more complicated and large-scale. To analyze such complex data, more advanced technique is required. In case of omics data from two different groups, it is interesting to find significant biomarkers between two groups while controlling error rate such as false discovery rate (FDR). Over the last few decades, a lot of methods that control local false discovery rate have been developed, ranging from one-dimensional to k-dimensional FDR

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... procedure. For comparison study, we select three of them, which have unique and significant properties: Efron et al. (2001), Ploner et al. (2006), and Kim et al. (2018) in chronological order. The first approach is one-dimensional approach while the other two are two-dimensional ones. Furthermore, we consider two more variants of Ploner's approach. We compare the performance of those methods on both simulated and real data.