Regularized Gaussian Derivatives & ASH: Simulated True Effects with Heteroskedastic Correlated Noises

Last updated: 2017-12-21

Code version: 6e42447

Introduction

Similar to previous simulations, where correlated null \(z\) scores are fitted by \(10\) Gaussian derivatives with regularization, we are now fitting data sets simulated with correlated noise and true signals by both ASH and Gaussian derivatives using the same regularization and see what happens.

The study is almost exactly the same as the previous one, the single only change being that this time, the correlated noise is heteroskedastic. That is, \(\hat s_j\) are not constant; in this simulation, they are simulated such that \(\log\hat s_j \sim \text{Uniform}\left[\log0.1, \log10\right]\).

library(ashr)
source("../code/gdash.R")

L = 10
lambda = 10
rho = 0.5

g.null = normalmix(pi = 1, mean = 0, sd = 0)
g.s.n = normalmix(pi = c(0.6, 0.3, 0.1), mean = 0, sd = c(0, 1, 2))
g.m.n = normalmix(pi = c(0.6, 0.3, 0.1), mean = 0, sd = c(0, 2, 4))
g.l.n = normalmix(pi = c(0.6, 0.3, 0.1), mean = 0, sd = c(0, 3, 6))

se = "heteroskedasticity"

z.list = readRDS("../output/z_null_liver_777_select.RDS")
z.index = readRDS("../output/z_null_liver_777_select_index.RDS")

Category I: Typical

label = "typical"

Global null \(g_n\)

g = g.null

Data Set 32 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 3 ;
pihat0 by ASH: 0.184423 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 11.225 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 327 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 489 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1446 ;
pihat0 by ASH: 0.1522796 ;

Number of iterations: 10 ;
Converged: TRUE ;
Time: 38.226 Seconds;
Normalized w: 0 - 1 ; 1 - 0.05016 ; 2 - 0.95618 ; 3 - -0.2777 ; 4 - 0.62473 ; 5 - -0.33374 ; 6 - 0.16868 ; 7 - -0.15111 ; 8 - 0 ; 9 - -0.02117 ; 10 - 0 ;

Data Set 355 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 639 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 2300 ;
pihat0 by ASH: 0.04750946 ;

Number of iterations: 22 ;
Converged: TRUE ;
Time: 86.409 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01984 ; 2 - 1.24198 ; 3 - 0.05376 ; 4 - 0.71746 ; 5 - -0.12445 ; 6 - 0.06859 ; 7 - -0.29586 ; 8 - -0.02461 ; 9 - -0.14978 ; 10 - 0 ;

Data Set 483 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9998824 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 7.019 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 778 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 357 ;
pihat0 by ASH: 0.07619716 ;

Number of iterations: 51 ;
Converged: FALSE ;
Time: 188.714 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00353 ; 2 - 0.54491 ; 3 - -0.04708 ; 4 - 0.08909 ; 5 - -0.04501 ; 6 - -0.02457 ; 7 - -0.02038 ; 8 - 0 ; 9 - -0.01978 ; 10 - 0 ;

Small effects \(g_s\)

g = g.s.n

Data Set 32 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 3 ;
pihat0 by ASH: 0.184423 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 52.588 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02575 ; 2 - 0.26909 ; 3 - 0.02446 ; 4 - -0.10285 ; 5 - -0.02308 ; 6 - 0 ; 7 - -0.04142 ; 8 - 0 ; 9 - -0.04776 ; 10 - 0 ;

Data Set 327 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 489 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1446 ;
pihat0 by ASH: 0.1522796 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 40.319 Seconds;
Normalized w: 0 - 1 ; 1 - 0.04643 ; 2 - 0.94137 ; 3 - -0.26839 ; 4 - 0.53014 ; 5 - -0.31731 ; 6 - 0.06686 ; 7 - -0.11808 ; 8 - 0 ; 9 - -0.01081 ; 10 - 0 ;

Data Set 355 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 639 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 2300 ;
pihat0 by ASH: 0.04750946 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 32.789 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01025 ; 2 - 1.217 ; 3 - 0.0104 ; 4 - 0.61171 ; 5 - -0.14679 ; 6 - 1e-05 ; 7 - -0.20289 ; 8 - 0 ; 9 - -0.05751 ; 10 - 0 ;

Data Set 483 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9998824 ;

Number of iterations: 13 ;
Converged: TRUE ;
Time: 44.561 Seconds;
Normalized w: 0 - 1 ; 1 - 0.04727 ; 2 - -0.18711 ; 3 - 0.07235 ; 4 - 0.02597 ; 5 - 0.01644 ; 6 - -0.03144 ; 7 - 0.00852 ; 8 - 0 ; 9 - -0.04731 ; 10 - 0 ;

Data Set 778 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 357 ;
pihat0 by ASH: 0.07619716 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 45.548 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01796 ; 2 - 0.5132 ; 3 - 0.01891 ; 4 - 0.00866 ; 5 - 0.16879 ; 6 - -0.07283 ; 7 - 0.3488 ; 8 - 0 ; 9 - 0.24132 ; 10 - 0 ;

Medium effects \(g_m\)

g = g.m.n

Data Set 32 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 3 ;
pihat0 by ASH: 0.184423 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 28.927 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02569 ; 2 - 0.27102 ; 3 - 0.08428 ; 4 - -0.10746 ; 5 - 0.17263 ; 6 - 0 ; 7 - 0.18222 ; 8 - 0 ; 9 - 0.01997 ; 10 - 0 ;

Data Set 327 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 489 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1446 ;
pihat0 by ASH: 0.1522796 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 32.012 Seconds;
Normalized w: 0 - 1 ; 1 - 0.05876 ; 2 - 0.88155 ; 3 - -0.29075 ; 4 - 0.4277 ; 5 - -0.40084 ; 6 - 1e-05 ; 7 - -0.22873 ; 8 - 0 ; 9 - -0.03909 ; 10 - 0 ;

Data Set 355 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 639 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 2300 ;
pihat0 by ASH: 0.04750946 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 23.131 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01917 ; 2 - 1.2006 ; 3 - 0.10039 ; 4 - 0.61318 ; 5 - -0.01411 ; 6 - 1e-05 ; 7 - -0.20106 ; 8 - 0 ; 9 - -0.1185 ; 10 - 0 ;

Data Set 483 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9998824 ;

Number of iterations: 11 ;
Converged: TRUE ;
Time: 36.738 Seconds;
Normalized w: 0 - 1 ; 1 - 0.04751 ; 2 - -0.21417 ; 3 - -0.03231 ; 4 - -1e-05 ; 5 - -0.14269 ; 6 - -0.06672 ; 7 - -0.16554 ; 8 - 0 ; 9 - -0.12164 ; 10 - 0 ;

Data Set 778 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 357 ;
pihat0 by ASH: 0.07619716 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 82.136 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00568 ; 2 - 0.56109 ; 3 - -0.00644 ; 4 - 0.09462 ; 5 - 0.08251 ; 6 - 0 ; 7 - 0.20056 ; 8 - 0 ; 9 - 0.11947 ; 10 - 0 ;

Large effects \(g_l\)

g = g.l.n

Data Set 32 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 3 ;
pihat0 by ASH: 0.184423 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 28.07 Seconds;
Normalized w: 0 - 1 ; 1 - -0.04577 ; 2 - 0.26791 ; 3 - -0.01712 ; 4 - -0.11676 ; 5 - -0.10617 ; 6 - 1e-05 ; 7 - -0.11222 ; 8 - 0 ; 9 - -0.07787 ; 10 - 0 ;

Data Set 327 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 489 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1446 ;
pihat0 by ASH: 0.1522796 ;

Number of iterations: 11 ;
Converged: TRUE ;
Time: 34.351 Seconds;
Normalized w: 0 - 1 ; 1 - 0.03867 ; 2 - 0.89771 ; 3 - -0.34104 ; 4 - 0.44976 ; 5 - -0.43264 ; 6 - 3e-05 ; 7 - -0.20261 ; 8 - -1e-05 ; 9 - -0.05654 ; 10 - 0 ;

Data Set 355 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 639 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 2300 ;
pihat0 by ASH: 0.04750946 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 38.134 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02004 ; 2 - 1.1793 ; 3 - 0.02238 ; 4 - 0.58091 ; 5 - -0.24019 ; 6 - 1e-05 ; 7 - -0.48185 ; 8 - -1e-05 ; 9 - -0.20133 ; 10 - 0 ;

Data Set 483 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9998824 ;

Number of iterations: 16 ;
Converged: TRUE ;
Time: 55.966 Seconds;
Normalized w: 0 - 1 ; 1 - 0.03216 ; 2 - -0.2142 ; 3 - 0.0667 ; 4 - 6e-05 ; 5 - 0.00907 ; 6 - -0.02549 ; 7 - -0.03655 ; 8 - 0 ; 9 - -0.06861 ; 10 - 0 ;

Data Set 778 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 357 ;
pihat0 by ASH: 0.07619716 ;

Number of iterations: 26 ;
Converged: TRUE ;
Time: 78.291 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00061 ; 2 - 0.55405 ; 3 - -0.03913 ; 4 - 0.11267 ; 5 - -0.07383 ; 6 - -1e-05 ; 7 - -0.04363 ; 8 - 0 ; 9 - 0.00339 ; 10 - 0 ;

Category II: Hostile

label = "hostile"

Global null \(g_n\)

g = g.null

Data Set 355 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 639 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 2300 ;
pihat0 by ASH: 0.04750946 ;

Number of iterations: 51 ;
Converged: FALSE ;
Time: 189.879 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01983 ; 2 - 1.2292 ; 3 - 0.05494 ; 4 - 0.6768 ; 5 - -0.11792 ; 6 - 0.03277 ; 7 - -0.28506 ; 8 - -0.02591 ; 9 - -0.14264 ; 10 - 0 ;

Data Set 23 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 408 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 2448 ;
pihat0 by ASH: 0.03139009 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 7.614 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 122 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 331 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1822 ;
pihat0 by ASH: 0.04301549 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 6.838 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 749 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 114 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1685 ;
pihat0 by ASH: 0.02583276 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 7.177 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 724 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 79 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1814 ;
pihat0 by ASH: 0.01606004 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 7.428 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 56 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 35 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1137 ;
pihat0 by ASH: 0.04829662 ;

Number of iterations: 51 ;
Converged: FALSE ;
Time: 231.585 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01422 ; 2 - 0.84415 ; 3 - 0.13227 ; 4 - 0.30738 ; 5 - 0.18469 ; 6 - 0 ; 7 - 0.03516 ; 8 - 0 ; 9 - -0.05314 ; 10 - 0 ;

Data Set 840 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 28 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1653 ;
pihat0 by ASH: 0.02316832 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 8.737 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 858 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 16 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1506 ;
pihat0 by ASH: 0.05110069 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 8.312 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 771 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 12 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 795 ;
pihat0 by ASH: 0.04316169 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 9.229 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 389 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 11 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1028 ;
pihat0 by ASH: 0.03156173 ;

Number of iterations: 50 ;
Converged: FALSE ;
Time: 219.546 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01064 ; 2 - 0.80072 ; 3 - 0.19566 ; 4 - 0.22862 ; 5 - 0.15806 ; 6 - -0.03261 ; 7 - -0.00031 ; 8 - 0 ; 9 - -0.0033 ; 10 - 0 ;

Data Set 485 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 9 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 614 ;
pihat0 by ASH: 0.04794909 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 7.945 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 77 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 7 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1307 ;
pihat0 by ASH: 0.05151585 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 31.632 Seconds;
Normalized w: 0 - 1 ; 1 - 0.0259 ; 2 - 0.87864 ; 3 - 0.3604 ; 4 - 0.32876 ; 5 - 0.2319 ; 6 - 0 ; 7 - -0.16261 ; 8 - 0 ; 9 - -0.14356 ; 10 - 0 ;

Data Set 984 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 7 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 689 ;
pihat0 by ASH: 0.04567195 ;

Number of iterations: 51 ;
Converged: FALSE ;
Time: 227.751 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01268 ; 2 - 0.66967 ; 3 - 0.09662 ; 4 - 0.08831 ; 5 - 0.03504 ; 6 - -0.06662 ; 7 - -0.05847 ; 8 - 0 ; 9 - -0.07254 ; 10 - 0 ;

Data Set 360 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 6 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1392 ;
pihat0 by ASH: 0.0308234 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 10.729 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 522 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 4 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1149 ;
pihat0 by ASH: 0.02083846 ;

Number of iterations: 25 ;
Converged: TRUE ;
Time: 90.942 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00827 ; 2 - 0.82342 ; 3 - -0.05818 ; 4 - -0.00257 ; 5 - -0.12033 ; 6 - -0.21587 ; 7 - -0.13892 ; 8 - 0.01452 ; 9 - -0.11108 ; 10 - 0 ;

Data Set 22 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 508 ;
pihat0 by ASH: 0.03271534 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 12.427 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 269 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 662 ;
pihat0 by ASH: 0.02787007 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 15.367 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 403 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 227 ;
pihat0 by ASH: 0.0531628 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 10.676 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 923 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1340 ;
pihat0 by ASH: 0.03239883 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 10.279 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 3 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 193 ;
pihat0 by ASH: 0.0465218 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 9.052 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Small effects \(g_s\)

g = g.s.n

Data Set 355 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 639 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 2300 ;
pihat0 by ASH: 0.04750946 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 30.88 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02733 ; 2 - 1.21831 ; 3 - 0.06885 ; 4 - 0.61724 ; 5 - -0.00753 ; 6 - 1e-05 ; 7 - -0.00526 ; 8 - -1e-05 ; 9 - 0.037 ; 10 - 0 ;

Data Set 23 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 408 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 2448 ;
pihat0 by ASH: 0.03139009 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 34.966 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01015 ; 2 - 1.29628 ; 3 - 0.08509 ; 4 - 0.65691 ; 5 - 0.07244 ; 6 - 0 ; 7 - -0.09476 ; 8 - 0 ; 9 - -0.05269 ; 10 - 0 ;

Data Set 122 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 331 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1822 ;
pihat0 by ASH: 0.04301549 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 32.747 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01413 ; 2 - 1.05056 ; 3 - -0.27106 ; 4 - 0.50484 ; 5 - -0.25027 ; 6 - 0 ; 7 - -0.08203 ; 8 - 0 ; 9 - -0.01101 ; 10 - 0 ;

Data Set 749 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 114 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1685 ;
pihat0 by ASH: 0.02583276 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 34.58 Seconds;
Normalized w: 0 - 1 ; 1 - 0.04303 ; 2 - 1.01229 ; 3 - -0.00828 ; 4 - 0.37868 ; 5 - -0.02648 ; 6 - 0 ; 7 - 0.06348 ; 8 - 0 ; 9 - 0.05942 ; 10 - 0 ;

Data Set 724 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 79 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1814 ;
pihat0 by ASH: 0.01606004 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 32.557 Seconds;
Normalized w: 0 - 1 ; 1 - 0.03671 ; 2 - 1.0706 ; 3 - 0.14453 ; 4 - 0.42414 ; 5 - 0.27119 ; 6 - -0.00268 ; 7 - 0.3584 ; 8 - 0 ; 9 - 0.1656 ; 10 - 0 ;

Data Set 56 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 35 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1137 ;
pihat0 by ASH: 0.04829662 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 42.063 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01277 ; 2 - 0.82711 ; 3 - 0.13108 ; 4 - 0.30512 ; 5 - 0.22718 ; 6 - -1e-05 ; 7 - 0.12462 ; 8 - 0 ; 9 - 0.0096 ; 10 - 0 ;

Data Set 840 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 28 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1653 ;
pihat0 by ASH: 0.02316832 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 28.484 Seconds;
Normalized w: 0 - 1 ; 1 - -0.03585 ; 2 - 1.02697 ; 3 - -0.00449 ; 4 - 0.39933 ; 5 - -0.31014 ; 6 - -1e-05 ; 7 - -0.36651 ; 8 - 0 ; 9 - -0.0976 ; 10 - 0 ;

Data Set 858 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 16 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1506 ;
pihat0 by ASH: 0.05110069 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 23.374 Seconds;
Normalized w: 0 - 1 ; 1 - -0.04085 ; 2 - 0.98202 ; 3 - -0.09845 ; 4 - 0.36419 ; 5 - -0.0884 ; 6 - 0 ; 7 - -0.03491 ; 8 - 0 ; 9 - -0.00643 ; 10 - 0 ;

Data Set 771 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 12 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 795 ;
pihat0 by ASH: 0.04316169 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 29.666 Seconds;
Normalized w: 0 - 1 ; 1 - -0.04117 ; 2 - 0.68813 ; 3 - 0.13672 ; 4 - 0.06468 ; 5 - 0.33179 ; 6 - -0.09935 ; 7 - 0.34032 ; 8 - 0 ; 9 - 0.17877 ; 10 - 0 ;

Data Set 389 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 11 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1028 ;
pihat0 by ASH: 0.03156173 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 21.716 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02586 ; 2 - 0.79686 ; 3 - 0.23617 ; 4 - 0.24689 ; 5 - 0.22291 ; 6 - 0 ; 7 - 0.11239 ; 8 - 0 ; 9 - 0.07542 ; 10 - 0 ;

Data Set 485 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 9 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 614 ;
pihat0 by ASH: 0.04794909 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.646 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01992 ; 2 - 0.67862 ; 3 - 0.06354 ; 4 - 0.11245 ; 5 - -0.06842 ; 6 - -0.06771 ; 7 - -0.3139 ; 8 - 0 ; 9 - -0.20064 ; 10 - 0 ;

Data Set 77 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 7 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1307 ;
pihat0 by ASH: 0.05151585 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 45.979 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01525 ; 2 - 0.86216 ; 3 - 0.31238 ; 4 - 0.30511 ; 5 - 0.09585 ; 6 - 0 ; 7 - -0.29033 ; 8 - 0 ; 9 - -0.16671 ; 10 - 0 ;

Data Set 984 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 7 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 689 ;
pihat0 by ASH: 0.04567195 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 33.458 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02086 ; 2 - 0.65154 ; 3 - 0.08049 ; 4 - 0.10376 ; 5 - -0.06465 ; 6 - -0.00956 ; 7 - -0.23013 ; 8 - 0 ; 9 - -0.15155 ; 10 - 0 ;

Data Set 360 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 6 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1392 ;
pihat0 by ASH: 0.0308234 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.12 Seconds;
Normalized w: 0 - 1 ; 1 - 0.05079 ; 2 - 0.92116 ; 3 - 0.16182 ; 4 - 0.15438 ; 5 - 0.23256 ; 6 - -0.12371 ; 7 - 0.04937 ; 8 - 0 ; 9 - -0.03768 ; 10 - 0 ;

Data Set 522 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 4 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1149 ;
pihat0 by ASH: 0.02083846 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 23.311 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01783 ; 2 - 0.81908 ; 3 - -0.11666 ; 4 - -1e-05 ; 5 - -0.19744 ; 6 - -0.21896 ; 7 - -0.22814 ; 8 - 0 ; 9 - -0.17064 ; 10 - 0 ;

Data Set 22 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 508 ;
pihat0 by ASH: 0.03271534 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.133 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01439 ; 2 - 0.60935 ; 3 - 0.07122 ; 4 - 0.02919 ; 5 - -0.02408 ; 6 - -0.03606 ; 7 - -0.13222 ; 8 - 0 ; 9 - -0.06968 ; 10 - 0 ;

Data Set 269 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 662 ;
pihat0 by ASH: 0.02787007 ;

Number of iterations: 10 ;
Converged: TRUE ;
Time: 29.89 Seconds;
Normalized w: 0 - 1 ; 1 - 0.0319 ; 2 - 0.68016 ; 3 - -0.05035 ; 4 - 0 ; 5 - 0.24935 ; 6 - -0.14568 ; 7 - 0.41018 ; 8 - 0 ; 9 - 0.1359 ; 10 - 0 ;

Data Set 403 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 227 ;
pihat0 by ASH: 0.0531628 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 28.086 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00114 ; 2 - 0.53181 ; 3 - -0.07748 ; 4 - -0.1965 ; 5 - -0.15361 ; 6 - -0.16073 ; 7 - -0.23902 ; 8 - 0 ; 9 - -0.12921 ; 10 - 0 ;

Data Set 923 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1340 ;
pihat0 by ASH: 0.03239883 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 29.423 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02388 ; 2 - 0.90653 ; 3 - 0.19131 ; 4 - 0.20235 ; 5 - 0.14819 ; 6 - -0.09689 ; 7 - -0.0837 ; 8 - 0 ; 9 - -0.12117 ; 10 - 0 ;

Data Set 3 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 193 ;
pihat0 by ASH: 0.0465218 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.395 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02577 ; 2 - 0.48693 ; 3 - 0.20297 ; 4 - -0.01878 ; 5 - 0.07887 ; 6 - -1e-05 ; 7 - -0.02108 ; 8 - 0 ; 9 - 0.03032 ; 10 - 0 ;

Medium effects \(g_m\)

g = g.m.n

Data Set 355 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 639 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 2300 ;
pihat0 by ASH: 0.04750946 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 25.149 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00742 ; 2 - 1.1749 ; 3 - 0.03835 ; 4 - 0.5591 ; 5 - -0.1126 ; 6 - 0 ; 7 - -0.31054 ; 8 - -1e-05 ; 9 - -0.19373 ; 10 - 0 ;

Data Set 23 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 408 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 2448 ;
pihat0 by ASH: 0.03139009 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.046 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00632 ; 2 - 1.28769 ; 3 - 0.0353 ; 4 - 0.66171 ; 5 - -0.063 ; 6 - 0 ; 7 - -0.27308 ; 8 - 0 ; 9 - -0.16247 ; 10 - 0 ;

Data Set 122 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 331 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1822 ;
pihat0 by ASH: 0.04301549 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 22.228 Seconds;
Normalized w: 0 - 1 ; 1 - 0.0135 ; 2 - 1.06734 ; 3 - -0.31841 ; 4 - 0.51222 ; 5 - -0.46115 ; 6 - 0 ; 7 - -0.40263 ; 8 - -1e-05 ; 9 - -0.23457 ; 10 - 0 ;

Data Set 749 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 114 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1685 ;
pihat0 by ASH: 0.02583276 ;

Number of iterations: 51 ;
Converged: FALSE ;
Time: 154.233 Seconds;
Normalized w: 0 - 1 ; 1 - 0.05073 ; 2 - 1.01832 ; 3 - -0.00939 ; 4 - 0.39389 ; 5 - -0.1153 ; 6 - 0 ; 7 - -0.11893 ; 8 - 0 ; 9 - -0.03808 ; 10 - 0 ;

Data Set 724 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 79 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1814 ;
pihat0 by ASH: 0.01606004 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 42.727 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02736 ; 2 - 1.10549 ; 3 - 0.10649 ; 4 - 0.46513 ; 5 - 0.07473 ; 6 - 0 ; 7 - 0.00743 ; 8 - 0 ; 9 - -0.02026 ; 10 - 0 ;

Data Set 56 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 35 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1137 ;
pihat0 by ASH: 0.04829662 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 25.795 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02133 ; 2 - 0.84438 ; 3 - 0.14593 ; 4 - 0.31391 ; 5 - 0.17258 ; 6 - 0 ; 7 - 0.07917 ; 8 - 0 ; 9 - -0.00346 ; 10 - 0 ;

Data Set 840 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 28 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1653 ;
pihat0 by ASH: 0.02316832 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 29.846 Seconds;
Normalized w: 0 - 1 ; 1 - -0.06562 ; 2 - 1.00354 ; 3 - 0.02349 ; 4 - 0.3389 ; 5 - -0.09845 ; 6 - -0.0561 ; 7 - 0.00741 ; 8 - 0 ; 9 - 0.14495 ; 10 - 0 ;

Data Set 858 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 16 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1506 ;
pihat0 by ASH: 0.05110069 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 36.69 Seconds;
Normalized w: 0 - 1 ; 1 - -0.04018 ; 2 - 0.96386 ; 3 - -0.06114 ; 4 - 0.312 ; 5 - -0.02404 ; 6 - -1e-05 ; 7 - 0.02535 ; 8 - 0 ; 9 - 0.0536 ; 10 - 0 ;

Data Set 771 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 12 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 795 ;
pihat0 by ASH: 0.04316169 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 28.698 Seconds;
Normalized w: 0 - 1 ; 1 - -0.04299 ; 2 - 0.71495 ; 3 - 0.03085 ; 4 - 0.16386 ; 5 - 0.06736 ; 6 - -0.00015 ; 7 - -0.03882 ; 8 - 0 ; 9 - -0.06233 ; 10 - 0 ;

Data Set 389 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 11 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1028 ;
pihat0 by ASH: 0.03156173 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.441 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00403 ; 2 - 0.76911 ; 3 - 0.22856 ; 4 - 0.18941 ; 5 - 0.31326 ; 6 - -0.02907 ; 7 - 0.20318 ; 8 - 0 ; 9 - 0.08145 ; 10 - 0 ;

Data Set 485 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 9 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 614 ;
pihat0 by ASH: 0.04794909 ;

Number of iterations: 10 ;
Converged: TRUE ;
Time: 30 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00289 ; 2 - 0.68198 ; 3 - 0.16888 ; 4 - 0.1591 ; 5 - 0.20918 ; 6 - -0.00029 ; 7 - 0.04417 ; 8 - 0 ; 9 - 0.03341 ; 10 - 0 ;

Data Set 77 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 7 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1307 ;
pihat0 by ASH: 0.05151585 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 28.732 Seconds;
Normalized w: 0 - 1 ; 1 - 0.03587 ; 2 - 0.88593 ; 3 - 0.38909 ; 4 - 0.33529 ; 5 - 0.29048 ; 6 - -1e-05 ; 7 - -0.06775 ; 8 - 0 ; 9 - -0.09286 ; 10 - 0 ;

Data Set 984 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 7 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 689 ;
pihat0 by ASH: 0.04567195 ;

Number of iterations: 11 ;
Converged: TRUE ;
Time: 34.466 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02317 ; 2 - 0.63533 ; 3 - 0.08864 ; 4 - 0.07067 ; 5 - -0.06729 ; 6 - -0.03355 ; 7 - -0.18268 ; 8 - 0 ; 9 - -0.09976 ; 10 - 0 ;

Data Set 360 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 6 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1392 ;
pihat0 by ASH: 0.0308234 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 28.01 Seconds;
Normalized w: 0 - 1 ; 1 - 0.05702 ; 2 - 0.92845 ; 3 - 0.14885 ; 4 - 0.1633 ; 5 - 0.0725 ; 6 - -0.14504 ; 7 - -0.28862 ; 8 - 0 ; 9 - -0.27099 ; 10 - 0 ;

Data Set 522 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 4 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1149 ;
pihat0 by ASH: 0.02083846 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 27.347 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01845 ; 2 - 0.83243 ; 3 - 0.00994 ; 4 - 1e-05 ; 5 - 0.00365 ; 6 - -0.20851 ; 7 - -0.0369 ; 8 - 0 ; 9 - -0.07692 ; 10 - 0 ;

Data Set 22 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 508 ;
pihat0 by ASH: 0.03271534 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.693 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00756 ; 2 - 0.6155 ; 3 - 0.06321 ; 4 - 0.00021 ; 5 - 0.0347 ; 6 - -0.0606 ; 7 - 0.01512 ; 8 - 0 ; 9 - 0.03714 ; 10 - 0 ;

Data Set 269 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 662 ;
pihat0 by ASH: 0.02787007 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 25.91 Seconds;
Normalized w: 0 - 1 ; 1 - 0.03309 ; 2 - 0.65525 ; 3 - -0.0321 ; 4 - 0 ; 5 - 0.20707 ; 6 - -0.09989 ; 7 - 0.3002 ; 8 - 0 ; 9 - 0.07872 ; 10 - 0 ;

Data Set 403 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 227 ;
pihat0 by ASH: 0.0531628 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 24.624 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00288 ; 2 - 0.56678 ; 3 - -0.072 ; 4 - -0.00017 ; 5 - -0.01764 ; 6 - -2e-05 ; 7 - -0.02216 ; 8 - 1e-05 ; 9 - -0.00143 ; 10 - 0 ;

Data Set 923 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1340 ;
pihat0 by ASH: 0.03239883 ;

Number of iterations: 10 ;
Converged: TRUE ;
Time: 31.823 Seconds;
Normalized w: 0 - 1 ; 1 - 0.04008 ; 2 - 0.87928 ; 3 - 0.15209 ; 4 - 0.1628 ; 5 - 0.11858 ; 6 - -0.09506 ; 7 - -0.10049 ; 8 - 0 ; 9 - -0.1322 ; 10 - 0 ;

Data Set 3 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 193 ;
pihat0 by ASH: 0.0465218 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 24.988 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02878 ; 2 - 0.50013 ; 3 - 0.17142 ; 4 - 0 ; 5 - 0.08596 ; 6 - -1e-05 ; 7 - 0.01389 ; 8 - 0 ; 9 - 0.0669 ; 10 - 0 ;

Large effects \(g_l\)

g = g.l.n

Data Set 355 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 639 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 2300 ;
pihat0 by ASH: 0.04750946 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 21.62 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02457 ; 2 - 1.20145 ; 3 - 0.11542 ; 4 - 0.59648 ; 5 - 0.03517 ; 6 - 0 ; 7 - -0.08605 ; 8 - 0 ; 9 - -0.00917 ; 10 - 0 ;

Data Set 23 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 408 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 2448 ;
pihat0 by ASH: 0.03139009 ;

Number of iterations: 6 ;
Converged: TRUE ;
Time: 20.337 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02728 ; 2 - 1.29483 ; 3 - 0.16861 ; 4 - 0.64549 ; 5 - 0.39472 ; 6 - 0 ; 7 - 0.4567 ; 8 - 0 ; 9 - 0.24256 ; 10 - 0 ;

Data Set 122 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 331 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1822 ;
pihat0 by ASH: 0.04301549 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 24.171 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00848 ; 2 - 1.05208 ; 3 - -0.21345 ; 4 - 0.51701 ; 5 - 0.00208 ; 6 - 0 ; 7 - 0.27875 ; 8 - 0 ; 9 - 0.16665 ; 10 - 0 ;

Data Set 749 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 114 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1685 ;
pihat0 by ASH: 0.02583276 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 22.77 Seconds;
Normalized w: 0 - 1 ; 1 - 0.03699 ; 2 - 0.98097 ; 3 - 0.00028 ; 4 - 0.37055 ; 5 - 0.01914 ; 6 - -1e-05 ; 7 - 0.15752 ; 8 - 0 ; 9 - 0.13096 ; 10 - 0 ;

Data Set 724 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 79 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1814 ;
pihat0 by ASH: 0.01606004 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 24.403 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01461 ; 2 - 1.07359 ; 3 - 0.02148 ; 4 - 0.4216 ; 5 - -0.11933 ; 6 - -3e-05 ; 7 - -0.17524 ; 8 - 0 ; 9 - -0.08195 ; 10 - 0 ;

Data Set 56 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 35 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1137 ;
pihat0 by ASH: 0.04829662 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 38.121 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02844 ; 2 - 0.82914 ; 3 - 0.21897 ; 4 - 0.25202 ; 5 - 0.52513 ; 6 - -1e-05 ; 7 - 0.59598 ; 8 - 0 ; 9 - 0.3105 ; 10 - 0 ;

Data Set 840 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 28 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1653 ;
pihat0 by ASH: 0.02316832 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 35.091 Seconds;
Normalized w: 0 - 1 ; 1 - -0.0231 ; 2 - 1.00962 ; 3 - 0.07382 ; 4 - 0.38514 ; 5 - -0.10434 ; 6 - -0.02401 ; 7 - -0.10944 ; 8 - 0 ; 9 - -0.0048 ; 10 - 0 ;

Data Set 858 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 16 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1506 ;
pihat0 by ASH: 0.05110069 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 46.264 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02515 ; 2 - 0.9507 ; 3 - -0.0165 ; 4 - 0.33068 ; 5 - 0.25327 ; 6 - -1e-05 ; 7 - 0.54486 ; 8 - 0 ; 9 - 0.39215 ; 10 - 0 ;

Data Set 771 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 12 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 795 ;
pihat0 by ASH: 0.04316169 ;

Number of iterations: 50 ;
Converged: FALSE ;
Time: 227.64 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02823 ; 2 - 0.70289 ; 3 - 0.06976 ; 4 - 0.16358 ; 5 - 0.0598 ; 6 - -4e-05 ; 7 - -0.10093 ; 8 - 0 ; 9 - -0.07765 ; 10 - 0 ;

Data Set 389 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 11 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1028 ;
pihat0 by ASH: 0.03156173 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 37.795 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00823 ; 2 - 0.79806 ; 3 - 0.15352 ; 4 - 0.25493 ; 5 - 0.11387 ; 6 - -3e-05 ; 7 - 0.06062 ; 8 - 0 ; 9 - 0.09129 ; 10 - 0 ;

Data Set 485 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 9 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 614 ;
pihat0 by ASH: 0.04794909 ;

Number of iterations: 11 ;
Converged: TRUE ;
Time: 44.426 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02195 ; 2 - 0.66497 ; 3 - 0.10589 ; 4 - 0.14036 ; 5 - 0.08526 ; 6 - -2e-05 ; 7 - -0.09157 ; 8 - 0 ; 9 - -0.03688 ; 10 - 0 ;

Data Set 77 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 7 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1307 ;
pihat0 by ASH: 0.05151585 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 35.309 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01835 ; 2 - 0.89401 ; 3 - 0.32923 ; 4 - 0.31577 ; 5 - 0.1709 ; 6 - -1e-05 ; 7 - -0.20603 ; 8 - 0 ; 9 - -0.15559 ; 10 - 0 ;

Data Set 984 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 7 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 689 ;
pihat0 by ASH: 0.04567195 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 56.156 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00704 ; 2 - 0.65769 ; 3 - 0.12187 ; 4 - 0.13763 ; 5 - 0.19948 ; 6 - -0.00399 ; 7 - 0.24631 ; 8 - 0 ; 9 - 0.15873 ; 10 - 0 ;

Data Set 360 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 6 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1392 ;
pihat0 by ASH: 0.0308234 ;

Number of iterations: 34 ;
Converged: TRUE ;
Time: 135.923 Seconds;
Normalized w: 0 - 1 ; 1 - 0.03501 ; 2 - 0.946 ; 3 - 0.13124 ; 4 - 0.17912 ; 5 - 0.18478 ; 6 - -0.08199 ; 7 - 0.0252 ; 8 - 0 ; 9 - -0.01429 ; 10 - 0 ;

Data Set 522 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 4 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1149 ;
pihat0 by ASH: 0.02083846 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 28.216 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02299 ; 2 - 0.80554 ; 3 - -0.11476 ; 4 - 2e-05 ; 5 - -0.20238 ; 6 - -0.2036 ; 7 - -0.27398 ; 8 - 1e-05 ; 9 - -0.2109 ; 10 - 0 ;

Data Set 22 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 508 ;
pihat0 by ASH: 0.03271534 ;

Number of iterations: 50 ;
Converged: FALSE ;
Time: 211.079 Seconds;
Normalized w: 0 - 1 ; 1 - 0.05043 ; 2 - 0.62324 ; 3 - 0.20784 ; 4 - 0.02513 ; 5 - 0.20208 ; 6 - -0.00475 ; 7 - 0.08438 ; 8 - 0 ; 9 - 0.00885 ; 10 - 0 ;

Data Set 269 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 662 ;
pihat0 by ASH: 0.02787007 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 49.86 Seconds;
Normalized w: 0 - 1 ; 1 - 0.03229 ; 2 - 0.67436 ; 3 - -0.12467 ; 4 - 0.00016 ; 5 - 0.08979 ; 6 - -0.09407 ; 7 - 0.15491 ; 8 - 1e-05 ; 9 - -0.03937 ; 10 - 0 ;

Data Set 403 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 227 ;
pihat0 by ASH: 0.0531628 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 38.732 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00858 ; 2 - 0.57502 ; 3 - -0.03135 ; 4 - -0.01869 ; 5 - 0.09885 ; 6 - -0.00492 ; 7 - 0.10922 ; 8 - 1e-05 ; 9 - 0.02825 ; 10 - 0 ;

Data Set 923 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 1340 ;
pihat0 by ASH: 0.03239883 ;

Number of iterations: 11 ;
Converged: TRUE ;
Time: 40.403 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01213 ; 2 - 0.88364 ; 3 - 0.19767 ; 4 - 0.20511 ; 5 - 0.29348 ; 6 - -0.05474 ; 7 - 0.18946 ; 8 - 0 ; 9 - 0.10193 ; 10 - 0 ;

Data Set 3 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 193 ;
pihat0 by ASH: 0.0465218 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 27.381 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01747 ; 2 - 0.49731 ; 3 - 0.16981 ; 4 - -0.00865 ; 5 - 0.05473 ; 6 - 0 ; 7 - -0.05558 ; 8 - 0 ; 9 - -0.05276 ; 10 - 0 ;

Category III: Friendly

label = "friendly"

Global null \(g_n\)

g = g.null

Data Set 4 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 7.297 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 5 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 7.59 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 7 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 15 ;
Converged: TRUE ;
Time: 56.923 Seconds;
Normalized w: 0 - 1 ; 1 - -0.03756 ; 2 - -0.18656 ; 3 - -0.2151 ; 4 - -0.02795 ; 5 - -0.35555 ; 6 - -0.0259 ; 7 - -0.50307 ; 8 - -1e-05 ; 9 - -0.19223 ; 10 - 0.01455 ;

Data Set 8 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 9.177 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 9 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 9.061 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 12 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 18 ;
Converged: TRUE ;
Time: 67.365 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02453 ; 2 - -0.12569 ; 3 - -0.03245 ; 4 - -1e-05 ; 5 - 0.0316 ; 6 - -0.00912 ; 7 - -0.01477 ; 8 - 0 ; 9 - 0.04101 ; 10 - 0 ;

Data Set 13 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 7.482 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 14 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 7.256 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 16 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 8.664 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 17 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 20 ;
Converged: TRUE ;
Time: 76.28 Seconds;
Normalized w: 0 - 1 ; 1 - -0.76287 ; 2 - -1.19262 ; 3 - -4.30452 ; 4 - -2.60437 ; 5 - -9.42024 ; 6 - -2.63669 ; 7 - -9.66218 ; 8 - -1e-05 ; 9 - -3.84037 ; 10 - 1.11814 ;

Data Set 18 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 9.361 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 25 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 8.477 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 28 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 50 ;
Converged: FALSE ;
Time: 196.043 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02036 ; 2 - 0.01112 ; 3 - -0.01625 ; 4 - -0.03594 ; 5 - 0.05427 ; 6 - -0.00027 ; 7 - 0.04467 ; 8 - 0 ; 9 - 0.07489 ; 10 - 0 ;

Data Set 30 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 8.077 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 34 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 4 ;
Converged: TRUE ;
Time: 17.6 Seconds;
Normalized w: 0 - 1 ; 1 - 10.27184 ; 2 - -10.18687 ; 3 - 50.28846 ; 4 - -25.22947 ; 5 - 99.40296 ; 6 - -22.33557 ; 7 - 90.85871 ; 8 - 0 ; 9 - 31.91919 ; 10 - 6.40972 ;

Data Set 35 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 16 ;
Converged: TRUE ;
Time: 64.282 Seconds;
Normalized w: 0 - 1 ; 1 - 0.07801 ; 2 - -0.301 ; 3 - 0.23948 ; 4 - 0 ; 5 - 0.79201 ; 6 - -0.13945 ; 7 - 0.88856 ; 8 - -0.05737 ; 9 - 0.52975 ; 10 - 1e-05 ;

Data Set 36 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 3 ;
Converged: TRUE ;
Time: 11.679 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00968 ; 2 - -0.20432 ; 3 - -0.02669 ; 4 - 0.05863 ; 5 - -0.00299 ; 6 - 0 ; 7 - -0.02348 ; 8 - 0 ; 9 - -0.01608 ; 10 - 0 ;

Data Set 38 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 43.242 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00793 ; 2 - -0.23924 ; 3 - 0.05211 ; 4 - 0 ; 5 - 0.17929 ; 6 - -0.12376 ; 7 - 0.16472 ; 8 - -0.01176 ; 9 - 0.05726 ; 10 - 0 ;

Data Set 42 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 9.36 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 43 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 12.638 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 45 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 9.275 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 46 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 7.414 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 47 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 8.697 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 49 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 50 ;
Converged: FALSE ;
Time: 182.928 Seconds;
Normalized w: 0 - 1 ; 1 - -0.08034 ; 2 - -0.13614 ; 3 - -0.00464 ; 4 - 0.00606 ; 5 - -0.14996 ; 6 - -1e-05 ; 7 - -0.15664 ; 8 - -0.00472 ; 9 - -0.09367 ; 10 - 0 ;

Data Set 52 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 7.392 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 53 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 8.536 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set 54 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 8.179 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Small effects \(g_s\)

g = g.s.n

Data Set 4 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 29.384 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02697 ; 2 - -0.08617 ; 3 - 0.04502 ; 4 - -0.08724 ; 5 - -0.01799 ; 6 - 0 ; 7 - 0.00211 ; 8 - -0.00622 ; 9 - -0.03559 ; 10 - 0 ;

Data Set 5 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 37.295 Seconds;
Normalized w: 0 - 1 ; 1 - -0.0036 ; 2 - -0.15213 ; 3 - -0.02875 ; 4 - -1e-05 ; 5 - -0.0694 ; 6 - 1e-05 ; 7 - -0.11811 ; 8 - -2e-05 ; 9 - -0.11035 ; 10 - 0 ;

Data Set 7 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.547 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00061 ; 2 - -0.17585 ; 3 - -0.03522 ; 4 - -2e-05 ; 5 - 0.04533 ; 6 - 0 ; 7 - -0.04106 ; 8 - 0 ; 9 - 0.00652 ; 10 - 0 ;

Data Set 8 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 51 ;
Converged: FALSE ;
Time: 157.389 Seconds;
Normalized w: 0 - 1 ; 1 - 0.04707 ; 2 - -0.27925 ; 3 - -0.08873 ; 4 - 0.104 ; 5 - -0.08832 ; 6 - -0.07568 ; 7 - -0.1938 ; 8 - 0 ; 9 - -0.09211 ; 10 - 0 ;

Data Set 9 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.333 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02626 ; 2 - -0.01323 ; 3 - -0.03788 ; 4 - -0.11898 ; 5 - -0.09862 ; 6 - 0.03164 ; 7 - -0.19453 ; 8 - -1e-05 ; 9 - -0.12877 ; 10 - 0 ;

Data Set 12 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 50 ;
Converged: FALSE ;
Time: 160.959 Seconds;
Normalized w: 0 - 1 ; 1 - -0.03395 ; 2 - -0.11058 ; 3 - -0.07126 ; 4 - -7e-05 ; 5 - -0.08358 ; 6 - -1e-05 ; 7 - -0.19917 ; 8 - 0 ; 9 - -0.10977 ; 10 - 0 ;

Data Set 13 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 51 ;
Converged: FALSE ;
Time: 152.73 Seconds;
Normalized w: 0 - 1 ; 1 - -0.0039 ; 2 - -0.05115 ; 3 - -0.04678 ; 4 - -0.01927 ; 5 - 0.02371 ; 6 - 0.02018 ; 7 - -0.0119 ; 8 - 0 ; 9 - -0.00265 ; 10 - 0 ;

Data Set 14 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 36.069 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00062 ; 2 - -0.13294 ; 3 - 0.13107 ; 4 - -1e-05 ; 5 - 0.19992 ; 6 - -0.00101 ; 7 - 0.18346 ; 8 - 0 ; 9 - 0.06667 ; 10 - 0 ;

Data Set 16 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.111 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01244 ; 2 - -0.16069 ; 3 - -0.01803 ; 4 - 0.03751 ; 5 - -0.04052 ; 6 - -1e-05 ; 7 - -0.07173 ; 8 - 0 ; 9 - -0.06445 ; 10 - 0 ;

Data Set 17 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.788 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01831 ; 2 - -0.26251 ; 3 - -0.05612 ; 4 - 0.01082 ; 5 - -0.10489 ; 6 - 0 ; 7 - -0.2839 ; 8 - 0 ; 9 - -0.18626 ; 10 - 0 ;

Data Set 18 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 10 ;
Converged: TRUE ;
Time: 31.67 Seconds;
Normalized w: 0 - 1 ; 1 - -0.0317 ; 2 - -0.18972 ; 3 - 0.10395 ; 4 - -0.00903 ; 5 - 0.15424 ; 6 - 1e-05 ; 7 - 0.23264 ; 8 - -0.00555 ; 9 - 0.11299 ; 10 - 0 ;

Data Set 25 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 11 ;
Converged: TRUE ;
Time: 34.005 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00618 ; 2 - -0.38792 ; 3 - 0.0395 ; 4 - -0.02014 ; 5 - 0.10323 ; 6 - -0.20869 ; 7 - 0.21854 ; 8 - 0 ; 9 - 0.10097 ; 10 - 0 ;

Data Set 28 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 26.423 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01795 ; 2 - -6e-05 ; 3 - -0.00998 ; 4 - -0.04228 ; 5 - 0.05659 ; 6 - 0 ; 7 - 0.01977 ; 8 - 0 ; 9 - 0.04081 ; 10 - 0 ;

Data Set 30 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 32.843 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02108 ; 2 - -0.09273 ; 3 - -0.02235 ; 4 - -0.05636 ; 5 - 0.04878 ; 6 - 0.03282 ; 7 - -0.0656 ; 8 - -0.02442 ; 9 - -0.01179 ; 10 - 0 ;

Data Set 34 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 26.134 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00955 ; 2 - -0.14701 ; 3 - 0.08512 ; 4 - 0.02973 ; 5 - -0.00343 ; 6 - 0 ; 7 - 0.0813 ; 8 - -0.00735 ; 9 - 0.06405 ; 10 - 0 ;

Data Set 35 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 11 ;
Converged: TRUE ;
Time: 34.864 Seconds;
Normalized w: 0 - 1 ; 1 - 0.03482 ; 2 - -0.25342 ; 3 - -0.06246 ; 4 - 0.09427 ; 5 - 0.0305 ; 6 - 0 ; 7 - -0.04555 ; 8 - 0 ; 9 - 0.02632 ; 10 - 0 ;

Data Set 36 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 34.327 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00941 ; 2 - -0.20561 ; 3 - -0.02836 ; 4 - 0.07003 ; 5 - 0.02226 ; 6 - 0 ; 7 - -0.01871 ; 8 - 0 ; 9 - 0.00161 ; 10 - 0 ;

Data Set 38 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 38.739 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00758 ; 2 - -0.23458 ; 3 - 0.00339 ; 4 - -0.00074 ; 5 - 0.0296 ; 6 - -0.03923 ; 7 - 0.00515 ; 8 - 2e-05 ; 9 - -0.03953 ; 10 - 0 ;

Data Set 42 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 10 ;
Converged: TRUE ;
Time: 31.387 Seconds;
Normalized w: 0 - 1 ; 1 - -0.04356 ; 2 - -0.29514 ; 3 - 0.01742 ; 4 - 0.09158 ; 5 - -0.00643 ; 6 - -0.07076 ; 7 - 0.01294 ; 8 - 0 ; 9 - 0.01104 ; 10 - 0 ;

Data Set 43 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 10 ;
Converged: TRUE ;
Time: 30.687 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01502 ; 2 - -0.29149 ; 3 - 0.01783 ; 4 - 0.0524 ; 5 - 0.02451 ; 6 - -0.12227 ; 7 - 0.076 ; 8 - 0 ; 9 - 0.05162 ; 10 - 0 ;

Data Set 45 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 29.233 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01691 ; 2 - -0.22227 ; 3 - -0.00353 ; 4 - 0.05467 ; 5 - 0.00308 ; 6 - -0.04807 ; 7 - 0.03201 ; 8 - 0 ; 9 - 0.04418 ; 10 - 0 ;

Data Set 46 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 28.02 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00748 ; 2 - -0.08118 ; 3 - 0.04417 ; 4 - -0.02831 ; 5 - -0.03482 ; 6 - 0 ; 7 - 0.07612 ; 8 - 0 ; 9 - 0.06103 ; 10 - 0 ;

Data Set 47 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 10 ;
Converged: TRUE ;
Time: 31.226 Seconds;
Normalized w: 0 - 1 ; 1 - 0.08036 ; 2 - -0.185 ; 3 - 0.0409 ; 4 - -3e-05 ; 5 - 0.2692 ; 6 - -0.0588 ; 7 - 0.23001 ; 8 - 0 ; 9 - 0.1292 ; 10 - 0 ;

Data Set 49 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 28.934 Seconds;
Normalized w: 0 - 1 ; 1 - -0.07443 ; 2 - -0.1345 ; 3 - 0.04262 ; 4 - -1e-05 ; 5 - -0.04205 ; 6 - 0 ; 7 - -0.01739 ; 8 - 0 ; 9 - -0.0338 ; 10 - 0 ;

Data Set 52 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 28.642 Seconds;
Normalized w: 0 - 1 ; 1 - 0.07777 ; 2 - -0.00668 ; 3 - -0.0621 ; 4 - -0.10854 ; 5 - -0.23762 ; 6 - 0 ; 7 - -0.26885 ; 8 - 0 ; 9 - -0.19325 ; 10 - 0 ;

Data Set 53 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 28.331 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00746 ; 2 - -0.03489 ; 3 - 0.03509 ; 4 - -0.0507 ; 5 - 0.10789 ; 6 - 0.0187 ; 7 - 0.14264 ; 8 - 0 ; 9 - 0.04542 ; 10 - 0 ;

Data Set 54 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 10 ;
Converged: TRUE ;
Time: 33.207 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01019 ; 2 - -0.18076 ; 3 - -0.08851 ; 4 - 0.03176 ; 5 - -0.25727 ; 6 - 0 ; 7 - -0.34485 ; 8 - -1e-05 ; 9 - -0.22822 ; 10 - 0 ;

Medium effects \(g_m\)

g = g.m.n

Data Set 4 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.03 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01941 ; 2 - -0.09792 ; 3 - 0.09261 ; 4 - -0.10413 ; 5 - 0.24631 ; 6 - 1e-05 ; 7 - 0.46056 ; 8 - 0 ; 9 - 0.26038 ; 10 - 0 ;

Data Set 5 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 11 ;
Converged: TRUE ;
Time: 30.755 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02245 ; 2 - -0.17138 ; 3 - -0.18255 ; 4 - -0.01257 ; 5 - -0.40232 ; 6 - 1e-05 ; 7 - -0.51773 ; 8 - 0 ; 9 - -0.32398 ; 10 - 0 ;

Data Set 7 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 11 ;
Converged: TRUE ;
Time: 32.301 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01335 ; 2 - -0.17909 ; 3 - -0.09077 ; 4 - -0.00043 ; 5 - -0.08474 ; 6 - 0 ; 7 - -0.17255 ; 8 - 0 ; 9 - -0.01499 ; 10 - 0 ;

Data Set 8 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.134 Seconds;
Normalized w: 0 - 1 ; 1 - 0.05841 ; 2 - -0.29744 ; 3 - -0.02468 ; 4 - 0.1043 ; 5 - 0.09854 ; 6 - -0.05048 ; 7 - 0.11487 ; 8 - 0 ; 9 - 0.0673 ; 10 - 0 ;

Data Set 9 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.754 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02409 ; 2 - -0.00172 ; 3 - 0.02397 ; 4 - -0.08975 ; 5 - 0.09806 ; 6 - 0.02258 ; 7 - 0.0582 ; 8 - -2e-05 ; 9 - -0.00109 ; 10 - 0 ;

Data Set 12 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 25.951 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01411 ; 2 - -0.13393 ; 3 - 0.05339 ; 4 - -0.00806 ; 5 - 0.24125 ; 6 - 0 ; 7 - 0.24362 ; 8 - 0 ; 9 - 0.18145 ; 10 - 0 ;

Data Set 13 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 24.393 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01757 ; 2 - -0.06226 ; 3 - 0.05521 ; 4 - -0.03883 ; 5 - 0.2841 ; 6 - 0 ; 7 - 0.30512 ; 8 - 0 ; 9 - 0.16881 ; 10 - 0 ;

Data Set 14 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 34.1 Seconds;
Normalized w: 0 - 1 ; 1 - -0.03445 ; 2 - -0.11685 ; 3 - -0.04252 ; 4 - -0.00295 ; 5 - -0.26793 ; 6 - 0 ; 7 - -0.36838 ; 8 - 0 ; 9 - -0.20715 ; 10 - 0 ;

Data Set 16 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.462 Seconds;
Normalized w: 0 - 1 ; 1 - -0.0023 ; 2 - -0.17504 ; 3 - -0.09291 ; 4 - 0.03906 ; 5 - -0.30645 ; 6 - -0.00476 ; 7 - -0.38668 ; 8 - 0 ; 9 - -0.231 ; 10 - 0 ;

Data Set 17 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.073 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02115 ; 2 - -0.25456 ; 3 - -0.01423 ; 4 - 0.01914 ; 5 - 0.09939 ; 6 - 0 ; 7 - 0.17351 ; 8 - 0 ; 9 - 0.17332 ; 10 - 0 ;

Data Set 18 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 36.347 Seconds;
Normalized w: 0 - 1 ; 1 - -0.05952 ; 2 - -0.19509 ; 3 - -0.02389 ; 4 - -0.03795 ; 5 - -0.28616 ; 6 - 0.00034 ; 7 - -0.34673 ; 8 - -1e-05 ; 9 - -0.17382 ; 10 - 0 ;

Data Set 25 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.325 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01859 ; 2 - -0.32771 ; 3 - 0.00261 ; 4 - 0.08801 ; 5 - -0.0458 ; 6 - -0.10592 ; 7 - -0.0263 ; 8 - 0 ; 9 - -0.03443 ; 10 - 0 ;

Data Set 28 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.432 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00958 ; 2 - 0.01001 ; 3 - -0.02937 ; 4 - -0.03175 ; 5 - 0.01101 ; 6 - 0 ; 7 - 0.00886 ; 8 - 0 ; 9 - 0.05868 ; 10 - 0 ;

Data Set 30 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.398 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02193 ; 2 - -0.06771 ; 3 - -0.00899 ; 4 - -0.0035 ; 5 - 0.10268 ; 6 - 0.11616 ; 7 - 0.02445 ; 8 - 0 ; 9 - 0.04784 ; 10 - 0 ;

Data Set 34 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 10 ;
Converged: TRUE ;
Time: 30.279 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02283 ; 2 - -0.17466 ; 3 - 0.08832 ; 4 - 0.01797 ; 5 - -0.03584 ; 6 - 0 ; 7 - 0.00764 ; 8 - 0 ; 9 - 0.00873 ; 10 - 0 ;

Data Set 35 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 35.58 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02855 ; 2 - -0.25726 ; 3 - -0.03344 ; 4 - 0.04399 ; 5 - 0.09778 ; 6 - -0.02073 ; 7 - 0.06149 ; 8 - 0 ; 9 - 0.10502 ; 10 - 0 ;

Data Set 36 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 50 ;
Converged: FALSE ;
Time: 145.628 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01333 ; 2 - -0.20619 ; 3 - -0.00724 ; 4 - 0.06501 ; 5 - 0.00763 ; 6 - 0 ; 7 - 0.0523 ; 8 - 0 ; 9 - 0.05855 ; 10 - 0 ;

Data Set 38 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 11 ;
Converged: TRUE ;
Time: 33.042 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01882 ; 2 - -0.214 ; 3 - -0.10397 ; 4 - 0.07203 ; 5 - -0.22392 ; 6 - -0.01574 ; 7 - -0.34232 ; 8 - 0 ; 9 - -0.20023 ; 10 - 0 ;

Data Set 42 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 37.557 Seconds;
Normalized w: 0 - 1 ; 1 - -0.03643 ; 2 - -0.3258 ; 3 - 0.02098 ; 4 - 0.08614 ; 5 - 0.06324 ; 6 - -0.09265 ; 7 - 0.12022 ; 8 - 0 ; 9 - 0.10535 ; 10 - 0 ;

Data Set 43 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 10 ;
Converged: TRUE ;
Time: 29.358 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00566 ; 2 - -0.27607 ; 3 - 0.01313 ; 4 - 0.08051 ; 5 - -0.05081 ; 6 - -0.04584 ; 7 - -0.05831 ; 8 - 0 ; 9 - -0.03524 ; 10 - 0 ;

Data Set 45 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.678 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01459 ; 2 - -0.25043 ; 3 - 0.06755 ; 4 - 0.02927 ; 5 - 0.23919 ; 6 - -0.06952 ; 7 - 0.38208 ; 8 - 0 ; 9 - 0.25212 ; 10 - 0 ;

Data Set 46 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.697 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00208 ; 2 - -0.05418 ; 3 - 0.05875 ; 4 - -0.01434 ; 5 - 0.03465 ; 6 - 0.0627 ; 7 - 0.15235 ; 8 - 0 ; 9 - 0.1037 ; 10 - 0 ;

Data Set 47 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.135 Seconds;
Normalized w: 0 - 1 ; 1 - 0.06185 ; 2 - -0.13433 ; 3 - -0.08392 ; 4 - 0.04694 ; 5 - -0.01868 ; 6 - -0.01478 ; 7 - -0.04749 ; 8 - 0 ; 9 - 0.00261 ; 10 - 0 ;

Data Set 49 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.635 Seconds;
Normalized w: 0 - 1 ; 1 - -0.05555 ; 2 - -0.12173 ; 3 - 0.15021 ; 4 - -2e-05 ; 5 - 0.25577 ; 6 - 0 ; 7 - 0.34852 ; 8 - 0 ; 9 - 0.16783 ; 10 - 0 ;

Data Set 52 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.249 Seconds;
Normalized w: 0 - 1 ; 1 - 0.08029 ; 2 - -0.03632 ; 3 - 0.01117 ; 4 - -0.11705 ; 5 - -0.05843 ; 6 - 0 ; 7 - 0.01867 ; 8 - 0 ; 9 - -0.01383 ; 10 - 0 ;

Data Set 53 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.054 Seconds;
Normalized w: 0 - 1 ; 1 - -0.0268 ; 2 - -0.04325 ; 3 - -0.0559 ; 4 - -0.08308 ; 5 - -0.12191 ; 6 - 0 ; 7 - -0.18064 ; 8 - 0 ; 9 - -0.11049 ; 10 - 0 ;

Data Set 54 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 14 ;
Converged: TRUE ;
Time: 40.668 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02748 ; 2 - -0.1807 ; 3 - -0.02209 ; 4 - 0.0069 ; 5 - -0.10242 ; 6 - -2e-05 ; 7 - -0.10688 ; 8 - 0 ; 9 - -0.07449 ; 10 - 0 ;

Large effects \(g_l\)

g = g.l.n

Data Set 4 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 33.289 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00796 ; 2 - -0.0793 ; 3 - 0.09892 ; 4 - -0.07011 ; 5 - 0.17741 ; 6 - 0.01064 ; 7 - 0.31407 ; 8 - -1e-05 ; 9 - 0.15516 ; 10 - 0 ;

Data Set 5 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 20.409 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02063 ; 2 - -0.15279 ; 3 - 0.04306 ; 4 - -0.01088 ; 5 - 0.08356 ; 6 - 1e-04 ; 7 - 0.07921 ; 8 - -1e-05 ; 9 - -0.01545 ; 10 - 0 ;

Data Set 7 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.407 Seconds;
Normalized w: 0 - 1 ; 1 - -0.0091 ; 2 - -0.19973 ; 3 - -0.0263 ; 4 - -0.03722 ; 5 - 0.07004 ; 6 - 3e-05 ; 7 - -0.00995 ; 8 - -1e-05 ; 9 - 0.04223 ; 10 - 0 ;

Data Set 8 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.511 Seconds;
Normalized w: 0 - 1 ; 1 - 0.04784 ; 2 - -0.29898 ; 3 - -0.09752 ; 4 - 0.10277 ; 5 - -0.13101 ; 6 - -0.05436 ; 7 - -0.20097 ; 8 - 0 ; 9 - -0.07085 ; 10 - 0 ;

Data Set 9 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 15 ;
Converged: TRUE ;
Time: 42.578 Seconds;
Normalized w: 0 - 1 ; 1 - -0.03607 ; 2 - 0.00696 ; 3 - -0.06342 ; 4 - -0.13965 ; 5 - -0.15855 ; 6 - 0.00012 ; 7 - -0.33635 ; 8 - -1e-05 ; 9 - -0.24562 ; 10 - 0 ;

Data Set 12 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 25.925 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02091 ; 2 - -0.11681 ; 3 - -0.0113 ; 4 - 1e-05 ; 5 - 0.05751 ; 6 - 0 ; 7 - -0.00587 ; 8 - 0 ; 9 - 0.05582 ; 10 - 0 ;

Data Set 13 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 10 ;
Converged: TRUE ;
Time: 29.842 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00312 ; 2 - -0.08906 ; 3 - -0.03794 ; 4 - -0.05732 ; 5 - -0.01787 ; 6 - 0.00019 ; 7 - -0.08555 ; 8 - 0 ; 9 - -0.01831 ; 10 - 0 ;

Data Set 14 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 14 ;
Converged: TRUE ;
Time: 40.55 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02082 ; 2 - -0.1265 ; 3 - 0.01527 ; 4 - 0.01321 ; 5 - -0.08247 ; 6 - 0 ; 7 - -0.13006 ; 8 - 0 ; 9 - -0.07296 ; 10 - 0 ;

Data Set 16 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.2 Seconds;
Normalized w: 0 - 1 ; 1 - 0.0096 ; 2 - -0.17053 ; 3 - 0.00647 ; 4 - 0.03917 ; 5 - -0.02533 ; 6 - 0 ; 7 - 0.0046 ; 8 - 0 ; 9 - 0.01689 ; 10 - 0 ;

Data Set 17 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 13 ;
Converged: TRUE ;
Time: 37.788 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01956 ; 2 - -0.27107 ; 3 - 0.02713 ; 4 - -3e-05 ; 5 - 0.16174 ; 6 - 1e-05 ; 7 - 0.05572 ; 8 - -1e-05 ; 9 - 0.03615 ; 10 - 0 ;

Data Set 18 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 11 ;
Converged: TRUE ;
Time: 32.578 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02931 ; 2 - -0.17879 ; 3 - 0.07784 ; 4 - -0.00483 ; 5 - 0.09913 ; 6 - 1e-04 ; 7 - 0.20138 ; 8 - -1e-05 ; 9 - 0.12581 ; 10 - 0 ;

Data Set 25 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 35.026 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01479 ; 2 - -0.31814 ; 3 - 0.02506 ; 4 - 0.11567 ; 5 - -0.01559 ; 6 - -0.08783 ; 7 - -0.09164 ; 8 - 0 ; 9 - -0.17135 ; 10 - 0 ;

Data Set 28 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.484 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00633 ; 2 - 0.00327 ; 3 - -0.06198 ; 4 - -0.03324 ; 5 - -0.05406 ; 6 - -1e-05 ; 7 - -0.09236 ; 8 - 0 ; 9 - 0.01136 ; 10 - 0 ;

Data Set 30 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.064 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00638 ; 2 - -0.05955 ; 3 - 0.05105 ; 4 - -0.00014 ; 5 - 0.19991 ; 6 - 0.1369 ; 7 - 0.15374 ; 8 - -3e-05 ; 9 - 0.15315 ; 10 - 0 ;

Data Set 34 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.808 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01015 ; 2 - -0.14982 ; 3 - 0.14299 ; 4 - 0.01389 ; 5 - 0.11928 ; 6 - 1e-05 ; 7 - 0.25983 ; 8 - -0.02016 ; 9 - 0.17827 ; 10 - 0 ;

Data Set 35 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 34.483 Seconds;
Normalized w: 0 - 1 ; 1 - 0.04508 ; 2 - -0.26895 ; 3 - -0.02427 ; 4 - 0.11731 ; 5 - 0.03682 ; 6 - -1e-05 ; 7 - -0.06731 ; 8 - 0 ; 9 - -0.02762 ; 10 - 0 ;

Data Set 36 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 36.311 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01404 ; 2 - -0.22653 ; 3 - -0.05271 ; 4 - 0.03946 ; 5 - -0.08775 ; 6 - 0 ; 7 - -0.11045 ; 8 - 0 ; 9 - -0.05619 ; 10 - 0 ;

Data Set 38 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 35.051 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00716 ; 2 - -0.21889 ; 3 - 0.00409 ; 4 - 0.06365 ; 5 - -0.01446 ; 6 - -1e-05 ; 7 - -0.12458 ; 8 - 0 ; 9 - -0.08735 ; 10 - 0 ;

Data Set 42 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 34.135 Seconds;
Normalized w: 0 - 1 ; 1 - -0.0405 ; 2 - -0.30562 ; 3 - 0.0031 ; 4 - 0.11855 ; 5 - 0.02163 ; 6 - -0.03638 ; 7 - 0.03595 ; 8 - 0 ; 9 - 0.03479 ; 10 - 0 ;

Data Set 43 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.978 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00419 ; 2 - -0.26647 ; 3 - 0.08123 ; 4 - 0.09285 ; 5 - 0.17617 ; 6 - -0.02967 ; 7 - 0.23986 ; 8 - 0 ; 9 - 0.14232 ; 10 - 0 ;

Data Set 45 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 34.468 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01603 ; 2 - -0.21107 ; 3 - 0.0049 ; 4 - 0.07877 ; 5 - -0.04377 ; 6 - -5e-05 ; 7 - 0.03035 ; 8 - 0 ; 9 - 0.03785 ; 10 - 0 ;

Data Set 46 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.562 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01677 ; 2 - -0.07158 ; 3 - 0.04516 ; 4 - -0.01453 ; 5 - -0.01997 ; 6 - 7e-05 ; 7 - 0.07691 ; 8 - -1e-05 ; 9 - 0.02733 ; 10 - 0 ;

Data Set 47 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 35.524 Seconds;
Normalized w: 0 - 1 ; 1 - 0.03746 ; 2 - -0.17492 ; 3 - -0.22242 ; 4 - 0.02125 ; 5 - -0.37814 ; 6 - -0.04699 ; 7 - -0.54732 ; 8 - 1e-05 ; 9 - -0.30088 ; 10 - 0 ;

Data Set 49 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.463 Seconds;
Normalized w: 0 - 1 ; 1 - -0.05214 ; 2 - -0.133 ; 3 - 0.09487 ; 4 - -3e-05 ; 5 - 0.11597 ; 6 - 0 ; 7 - 0.17387 ; 8 - 0 ; 9 - 0.10032 ; 10 - 0 ;

Data Set 52 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 11 ;
Converged: TRUE ;
Time: 31.901 Seconds;
Normalized w: 0 - 1 ; 1 - 0.06652 ; 2 - -0.01126 ; 3 - -0.01502 ; 4 - -0.10009 ; 5 - -0.12327 ; 6 - 2e-05 ; 7 - -0.05724 ; 8 - 0 ; 9 - -0.02188 ; 10 - 0 ;

Data Set 53 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 24.018 Seconds;
Normalized w: 0 - 1 ; 1 - 0.0084 ; 2 - -0.03127 ; 3 - 0.09346 ; 4 - -0.05372 ; 5 - 0.21367 ; 6 - 3e-05 ; 7 - 0.27748 ; 8 - -1e-05 ; 9 - 0.12642 ; 10 - 0 ;

Data Set 54 ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 28.799 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01399 ; 2 - -0.19167 ; 3 - -0.03216 ; 4 - 0.04623 ; 5 - -0.08046 ; 6 - 1e-05 ; 7 - -0.09197 ; 8 - 0 ; 9 - -0.06879 ; 10 - 0 ;

Category III: iid

label = "iid"

Global null \(g_n\)

g = g.null

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9902233 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 6.933 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 7.468 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 6.987 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9980103 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 31.49 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00178 ; 2 - -0.01341 ; 3 - 0.00225 ; 4 - -2e-05 ; 5 - 0.00742 ; 6 - 0.02341 ; 7 - -0.01511 ; 8 - 0 ; 9 - -0.03693 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9984696 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 8.431 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 8.214 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 7.015 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9978326 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 7.423 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 17 ;
Converged: TRUE ;
Time: 54.537 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00729 ; 2 - 0.00219 ; 3 - -0.00755 ; 4 - -0.02212 ; 5 - -0.00534 ; 6 - -0.00568 ; 7 - 0.00027 ; 8 - 0 ; 9 - -0.00822 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 2 ;
Converged: TRUE ;
Time: 7.593 Seconds;
Normalized w: 0 - 1 ; 1 - 0 ; 2 - 0 ; 3 - 0 ; 4 - 0 ; 5 - 0 ; 6 - 0 ; 7 - 0 ; 8 - 0 ; 9 - 0 ; 10 - 0 ;

Small effects \(g_s\)

g = g.s.n

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9902233 ;

Number of iterations: 51 ;
Converged: FALSE ;
Time: 159.193 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00972 ; 2 - 0.01592 ; 3 - -0.01831 ; 4 - 0.02134 ; 5 - -0.03808 ; 6 - -0.00021 ; 7 - -0.08736 ; 8 - 0 ; 9 - -0.06258 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 24.02 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00774 ; 2 - 0 ; 3 - 0.01397 ; 4 - -0.00325 ; 5 - 0.01863 ; 6 - -8e-05 ; 7 - 0.06806 ; 8 - 0 ; 9 - 0.01891 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 30.884 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00443 ; 2 - 0.01133 ; 3 - -0.01115 ; 4 - 0.00011 ; 5 - -0.02217 ; 6 - -0.02121 ; 7 - -0.04808 ; 8 - 0 ; 9 - -0.00288 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9980103 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 35.313 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00577 ; 2 - -0.00157 ; 3 - 0.02763 ; 4 - -0.00529 ; 5 - 0.06693 ; 6 - 0 ; 7 - 0.05901 ; 8 - 0 ; 9 - 0.04406 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9984696 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 31.386 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01275 ; 2 - -0.01062 ; 3 - -0.05309 ; 4 - -0.00379 ; 5 - -0.14261 ; 6 - -1e-05 ; 7 - -0.20661 ; 8 - 0 ; 9 - -0.12354 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.618 Seconds;
Normalized w: 0 - 1 ; 1 - -0.00532 ; 2 - -0.00559 ; 3 - -0.04424 ; 4 - -0.00384 ; 5 - -0.11503 ; 6 - 0 ; 7 - -0.20308 ; 8 - 0 ; 9 - -0.15158 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 11 ;
Converged: TRUE ;
Time: 32.444 Seconds;
Normalized w: 0 - 1 ; 1 - 0.0056 ; 2 - -0.00995 ; 3 - 0.00262 ; 4 - 0.01611 ; 5 - 0.00829 ; 6 - -2e-05 ; 7 - 0.0317 ; 8 - 0 ; 9 - 0.01237 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9978326 ;

Number of iterations: 10 ;
Converged: TRUE ;
Time: 32.734 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02275 ; 2 - 0.02535 ; 3 - -0.00308 ; 4 - -2e-04 ; 5 - 0.03509 ; 6 - -0.01564 ; 7 - 0.0101 ; 8 - 1e-05 ; 9 - -0.00916 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 21.306 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02528 ; 2 - 0.0154 ; 3 - -0.05329 ; 4 - 0 ; 5 - -0.14189 ; 6 - 0 ; 7 - -0.17585 ; 8 - 0 ; 9 - -0.12598 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 25.936 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00014 ; 2 - -0.01092 ; 3 - -0.00509 ; 4 - -0.0228 ; 5 - -0.01964 ; 6 - 0 ; 7 - -0.04713 ; 8 - 0 ; 9 - 0.00686 ; 10 - 0 ;

Medium effects \(g_m\)

g = g.m.n

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9902233 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.585 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01229 ; 2 - 0.00189 ; 3 - -0.05392 ; 4 - 0.00061 ; 5 - -0.0846 ; 6 - -2e-05 ; 7 - -0.13514 ; 8 - 0 ; 9 - -0.08317 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 25.854 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01732 ; 2 - -0.01042 ; 3 - -0.01884 ; 4 - -1e-05 ; 5 - -0.04387 ; 6 - 0 ; 7 - -0.0638 ; 8 - 0 ; 9 - -0.08034 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 23.768 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00754 ; 2 - -3e-05 ; 3 - -0.04572 ; 4 - 0 ; 5 - -0.19056 ; 6 - 0 ; 7 - -0.32217 ; 8 - 0 ; 9 - -0.19086 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9980103 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 25.442 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00802 ; 2 - -1e-05 ; 3 - 0.05303 ; 4 - -0.01123 ; 5 - 0.20188 ; 6 - 0 ; 7 - 0.26207 ; 8 - 0 ; 9 - 0.12331 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9984696 ;

Number of iterations: 7 ;
Converged: TRUE ;
Time: 20.647 Seconds;
Normalized w: 0 - 1 ; 1 - -0.0179 ; 2 - -3e-05 ; 3 - -0.04622 ; 4 - 3e-05 ; 5 - -0.14 ; 6 - -7e-05 ; 7 - -0.1561 ; 8 - 0 ; 9 - -0.06006 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 12 ;
Converged: TRUE ;
Time: 35.867 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00298 ; 2 - -0.01017 ; 3 - 0.02342 ; 4 - -0.01978 ; 5 - 0.04449 ; 6 - 0 ; 7 - 0.05481 ; 8 - 0 ; 9 - -0.02524 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.367 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01922 ; 2 - -0.00663 ; 3 - 0.01218 ; 4 - 1e-05 ; 5 - 0.03378 ; 6 - -1e-05 ; 7 - 0.02554 ; 8 - 0 ; 9 - 0.04878 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9978326 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.665 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00498 ; 2 - 0.01847 ; 3 - -0.05122 ; 4 - -0.00011 ; 5 - -0.13304 ; 6 - -1e-05 ; 7 - -0.20343 ; 8 - 0 ; 9 - -0.12496 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.827 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00806 ; 2 - 0.01769 ; 3 - 0.0524 ; 4 - -0.00018 ; 5 - 0.13184 ; 6 - -1e-05 ; 7 - 0.17885 ; 8 - 0 ; 9 - 0.11019 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.753 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01121 ; 2 - -0.00387 ; 3 - -0.05389 ; 4 - -0.00665 ; 5 - -0.04402 ; 6 - 0 ; 7 - -0.10466 ; 8 - 0 ; 9 - -0.05914 ; 10 - 0 ;

Large effects \(g_l\)

g = g.l.n

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9902233 ;

Number of iterations: 15 ;
Converged: TRUE ;
Time: 43.467 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01839 ; 2 - -0.00032 ; 3 - 0.09314 ; 4 - 0 ; 5 - 0.19834 ; 6 - -4e-05 ; 7 - 0.2042 ; 8 - 0 ; 9 - 0.08528 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 11 ;
Converged: TRUE ;
Time: 31.709 Seconds;
Normalized w: 0 - 1 ; 1 - 0.02364 ; 2 - -0.02307 ; 3 - 0.01521 ; 4 - 1e-05 ; 5 - -0.0081 ; 6 - 0 ; 7 - 0.00948 ; 8 - 0 ; 9 - -0.00869 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 10 ;
Converged: TRUE ;
Time: 29.211 Seconds;
Normalized w: 0 - 1 ; 1 - -0.0015 ; 2 - -0.0268 ; 3 - -0.02439 ; 4 - -0.00232 ; 5 - -0.00941 ; 6 - 0 ; 7 - 0.00458 ; 8 - 0 ; 9 - -0.00472 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9980103 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 26.742 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00826 ; 2 - -0.00764 ; 3 - 0.12995 ; 4 - -0.00304 ; 5 - 0.38969 ; 6 - 1e-05 ; 7 - 0.48392 ; 8 - 0 ; 9 - 0.21674 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9984696 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 24.538 Seconds;
Normalized w: 0 - 1 ; 1 - -0.02741 ; 2 - -0.00017 ; 3 - -0.06593 ; 4 - 0.00516 ; 5 - -0.1322 ; 6 - -6e-05 ; 7 - -0.13942 ; 8 - 0 ; 9 - -0.06092 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 8 ;
Converged: TRUE ;
Time: 24.177 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00956 ; 2 - -0.00018 ; 3 - 0.0401 ; 4 - -2e-05 ; 5 - 0.10534 ; 6 - 0 ; 7 - 0.14952 ; 8 - 0 ; 9 - 0.05002 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.673 Seconds;
Normalized w: 0 - 1 ; 1 - 0.0171 ; 2 - 2e-05 ; 3 - 0.05994 ; 4 - -6e-05 ; 5 - 0.13578 ; 6 - 0 ; 7 - 0.18185 ; 8 - 0 ; 9 - 0.08413 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 1 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 0.9978326 ;

Number of iterations: 10 ;
Converged: TRUE ;
Time: 29.798 Seconds;
Normalized w: 0 - 1 ; 1 - 0.01862 ; 2 - -1e-04 ; 3 - -0.02873 ; 4 - 0.00366 ; 5 - -0.05922 ; 6 - -2e-05 ; 7 - -0.02447 ; 8 - 0 ; 9 - 0.01949 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.344 Seconds;
Normalized w: 0 - 1 ; 1 - 0.00388 ; 2 - -0.00179 ; 3 - 0.08376 ; 4 - -0.03129 ; 5 - 0.24864 ; 6 - -2e-05 ; 7 - 0.37804 ; 8 - 1e-05 ; 9 - 0.21539 ; 10 - 0 ;

Data Set NA ;
For the Correlated Null Z Scores Only:
Number of False Discoveries by BH at FDR = 0.05: 0 ;
Number of False Discoveries by ASH at lfsr <= 0.05: 0 ;
pihat0 by ASH: 1 ;

Number of iterations: 9 ;
Converged: TRUE ;
Time: 27.819 Seconds;
Normalized w: 0 - 1 ; 1 - -0.01308 ; 2 - 0.00069 ; 3 - 0.03228 ; 4 - -5e-05 ; 5 - 0.06777 ; 6 - 0 ; 7 - -0.01114 ; 8 - 0 ; 9 - -0.04016 ; 10 - 0 ;

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 10.13.2

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] Rmosek_8.0.69     PolynomF_1.0-1    CVXR_0.94-4       REBayes_1.2      
[5] Matrix_1.2-12     SQUAREM_2017.10-1 EQL_1.0-0         ttutils_1.0-1    
[9] ashr_2.2-2       

loaded via a namespace (and not attached):
 [1] gmp_0.5-13.1      Rcpp_0.12.14      compiler_3.4.3   
 [4] git2r_0.20.0      R.methodsS3_1.7.1 R.utils_2.6.0    
 [7] iterators_1.0.9   tools_3.4.3       digest_0.6.13    
[10] bit_1.1-12        evaluate_0.10.1   lattice_0.20-35  
[13] foreach_1.4.4     yaml_2.1.16       parallel_3.4.3   
[16] Rmpfr_0.6-1       ECOSolveR_0.3-2   stringr_1.2.0    
[19] knitr_1.17        rprojroot_1.3-1   bit64_0.9-7      
[22] grid_3.4.3        R6_2.2.2          rmarkdown_1.8    
[25] magrittr_1.5      backports_1.1.2   codetools_0.2-15 
[28] htmltools_0.3.6   scs_1.1-1         MASS_7.3-47      
[31] stringi_1.1.6     pscl_1.5.2        doParallel_1.0.11
[34] truncnorm_1.0-7   R.oo_1.21.0

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Regularized Gaussian Derivatives & `ASH`: Simulated True Effects with Heteroskedastic Correlated Noises

Lei Sun

2017-05-14

Introduction

Category I: Typical

Global null \(g_n\)

Small effects \(g_s\)

Medium effects \(g_m\)

Large effects \(g_l\)

Category II: Hostile

Global null \(g_n\)

Small effects \(g_s\)

Medium effects \(g_m\)

Large effects \(g_l\)

Category III: Friendly

Global null \(g_n\)

Small effects \(g_s\)

Medium effects \(g_m\)

Large effects \(g_l\)

Category III: iid

Global null \(g_n\)

Small effects \(g_s\)

Medium effects \(g_m\)

Large effects \(g_l\)

Session information