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Table 1 Mean Square Error of π0 estimation by different methods

From: Re-sampling strategy to improve the estimation of number of null hypotheses in FDR control under strong correlation structures

 

Data_B

Data_M

ρ

0.3

0.5

0.7

    

True π0

0.9

0.8

0.7

0.6

0.9

0.8

0.7

0.6

0.9

0.8

0.7

0.6

0.9

0.8

0.7

0.6

Bootstrap

0.0038

0.0029

0.0035

0.0030

0.0106

0.0113

0.0115

0.0105

0.0423

0.0495

0.0422

0.0336

0.0202

0.0227

0.0213

0.0164

Qvalue

0.0045

0.0054

0.0051

0.0049

0.0120

0.0190

0.0170

0.0139

0.0445

0.0592

0.0621

0.0622

0.0247

0.0309

0.0318

0.0214

SPLOSH

0.0061

0.0059

0.0119

0.0201

0.0233

0.0107

0.0173

0.0308

0.0909

0.0456

0.0279

0.0298

0.0239

0.0145

0.0225

0.0388

BUM

0.0040

0.0032

0.0032

0.0040

0.0042

0.0037

0.0045

0.0061

0.0097

0.0050

0.0060

0.0060

0.0041

0.0071

0.0090

0.0117

Convest

0.0018

0.0021

0.0024

0.0021

0.0076

0.0087

0.0079

0.0076

0.0367

0.0402

0.0339

0.0275

0.0177

0.0200

0.0173

0.0138

PRE

0.0063

0.0072

0.0103

0.0151

0.0135

0.0189

0.0249

0.0402

0.0690

0.0739

0.0746

0.0748

0.0225

0.0289

0.0343

0.0478

Mgf

0.0017

0.0026

0.0038

0.0039

0.0054

0.0060

0.0048

0.0043

0.0122

0.0152

0.0148

0.0130

0.0104

0.0114

0.0094

0.0076

Adaptive

0.0030

0.0075

0.0144

0.0175

0.0008

0.0017

0.0023

0.0028

0.0012

0.0024

0.0025

0.0019

0.0003

0.0005

0.0005

0.0010

SampG.q Q2

0.0017

0.0026

0.0035

0.0032

0.0059

0.0067

0.0054

0.0049

0.0135

0.0168

0.0162

0.0140

0.0114

0.0124

0.0103

0.0085

SampG.q Q3

0.0043

0.0069

0.0084

0.0077

0.0065

0.0100

0.0076

0.0062

0.0106

0.0163

0.0176

0.0160

0.0109

0.0137

0.0119

0.0091

SampS.q Q2

0.0017

0.0026

0.0036

0.0033

0.0062

0.0070

0.0055

0.0051

0.0138

0.0176

0.0169

0.0169

0.0138

0.0136

0.0122

0.0094

SampS.q Q3

0.0046

0.0072

0.0091

0.0083

0.0073

0.0139

0.0110

0.0091

0.0081

0.0233

0.0341

0.0384

0.0094

0.0187

0.0176

0.0122

SampG.m Q2

0.0016

0.0037

0.0067

0.0082

0.0027

0.0029

0.0027

0.0025

0.0058

0.0060

0.0057

0.0047

0.0046

0.0045

0.0037

0.0032

SampG.m Q3

0.0021

0.0046

0.0081

0.0097

0.0030

0.0033

0.0031

0.0027

0.0055

0.0060

0.0057

0.0048

0.0048

0.0046

0.0039

0.0032

SampS.m Q2

0.0017

0.0037

0.0068

0.0083

0.0028

0.0031

0.0030

0.0027

0.0062

0.0063

0.0060

0.0050

0.0051

0.0048

0.0042

0.0033

SampS.m Q3

0.0025

0.0053

0.0091

0.0109

0.0045

0.0053

0.0049

0.0044

0.0059

0.0098

0.0097

0.0087

0.0065

0.0063

0.0056

0.0037