Last updated: 2018-05-12

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Introduction

The model is

\[ \beta_j \sim g(\cdot) \ ;\\ \hat\beta_j = \beta_j + \hat s_j z_j \ ;\\ z_j \sim N(0, 1) \ , \] where \[ g = 0.5\delta_0 + 0.5N(0, \sigma_n^2) \ . \] We consider three scenarios for the noise \(z_j\): 1. Correlated noise, simulated from real data; 2. Independent noise; 3. Correlated noise, simulated from artificial data.

nsim <- 100
ngene <- 1000
pi0 <- 0.5
snr <- 1
FDR.nominal <- seq(0, 0.1, 0.001)[-1]

Correlated noise, real data

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No id variables; using all as measure variables

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Independent noise

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Correlated noise, synthetic data

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Session information

sessionInfo()
R version 3.4.3 (2017-11-30)
Platform: x86_64-apple-darwin15.6.0 (64-bit)
Running under: macOS High Sierra 10.13.4

Matrix products: default
BLAS: /Library/Frameworks/R.framework/Versions/3.4/Resources/lib/libRblas.0.dylib
LAPACK: /Library/Frameworks/R.framework/Versions/3.4/Resources/lib/libRlapack.dylib

locale:
[1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] edgeR_3.20.2      limma_3.34.4      ggplot2_2.2.1    
 [4] reshape2_1.4.3    ashr_2.2-2        Rmosek_8.0.69    
 [7] PolynomF_1.0-1    CVXR_0.95         REBayes_1.2      
[10] Matrix_1.2-12     SQUAREM_2017.10-1 EQL_1.0-0        
[13] ttutils_1.0-1    

loaded via a namespace (and not attached):
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[10] plyr_1.8.4          backports_1.1.2     acepack_1.4.1      
[13] evaluate_0.10.1     pillar_1.0.1        rlang_0.1.6        
[16] lazyeval_0.2.1      pscl_1.5.2          data.table_1.10.4-3
[19] rstudioapi_0.7      whisker_0.3-2       R.utils_2.6.0      
[22] R.oo_1.21.0         rpart_4.1-11        checkmate_1.8.5    
[25] rmarkdown_1.9       labeling_0.3        splines_3.4.3      
[28] stringr_1.3.0       foreign_0.8-69      htmlwidgets_0.9    
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[34] base64enc_0.1-3     htmltools_0.3.6     nnet_7.3-12        
[37] htmlTable_1.11.1    tibble_1.4.1        gridExtra_2.3      
[40] workflowr_1.0.1     Hmisc_4.1-0         codetools_0.2-15   
[43] MASS_7.3-47         R.methodsS3_1.7.1   grid_3.4.3         
[46] gtable_0.2.0        git2r_0.21.0        magrittr_1.5       
[49] scales_0.5.0        stringi_1.1.6       Rmpfr_0.6-1        
[52] doParallel_1.0.11   latticeExtra_0.6-28 Formula_1.2-2      
[55] RColorBrewer_1.1-2  iterators_1.0.9     tools_3.4.3        
[58] bit64_0.9-7         parallel_3.4.3      survival_2.41-3    
[61] yaml_2.1.18         colorspace_1.3-2    cluster_2.0.6      
[64] scs_1.1-1           ECOSolveR_0.4       knitr_1.20         



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