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Table 1 Average AUCs for ZILPGM, LPGM, and NPGM on simulated data with their standard errors in parentheses

From: Network analysis for count data with excess zeros

π

0%

10%

20%

p

N

ρ

ZILPGM

LPGM

NPGM

ZILPGM

LPGM

NPGM

ZILPGM

LPGM

NPGM

  

.2

.9945

.9944

.9826

.8657

.8454

.8040

.7852

.7476

.6871

   

(.0009)

(.0009)

(.0026)

(.0079)

(.0090)

(.0095)

(.0092)

(.0100)

(.0104)

 

50

.3

.8972

.8974

.8880

.7619

.7244

.6894

.6820

.6374

.5862

   

(.0053)

(.0053)

(.0061)

(.0073)

(.0087)

(.0092)

(.0085)

(.0090)

(.0094)

  

.4

.7748

.7749

.7534

.6948

.6526

.5919

.6428

.6105

.5342

   

(.0075)

(.0076)

(.0083)

(.0089)

(.0089)

(.0092)

(.0077)

(.0079)

(.0083)

  

.2

.9948

.9948

.9949

.9491

.9379

.9316

.8744

.8487

.8222

   

(.0013)

(.0013)

(.0012)

(.0050)

(.0056)

(.0058)

(.0080)

(.0087)

(.0093)

10

100

.3

.9342

.9341

.9284

.8337

.7759

.7341

.7575

.6864

.6283

   

(.0043)

(.0043)

(.0049)

(.0055)

(.0067)

(.0075)

(.0070)

(.0084)

(.0088)

  

.4

.8188

.8188

.8182

.7255

.6522

.6207

.6589

.5992

.5600

   

(.0064)

(.0065)

(.0067)

(.0070)

(.0086)

(.0090)

(.0093)

(.0085)

(.0089)

  

.2

.9974

.9974

.9919

.9765

.9586

.9088

.9331

.8893

.7897

   

(.0004)

(.0004)

(.0011)

(.0024)

(.0037)

(.0059)

(.0043)

(.0061)

(.0086)

 

150

.3

.9762

.9762

.9618

.9546

.9103

.8330

.9008

.8361

.7196

   

(.0027)

(.0027)

(.0036)

(.0034)

(.0052)

(.0068)

(.0047)

(.0064)

(.0083)

  

.4

.9217

.9216

.9158

.8454

.7646

.6939

.7846

.7046

.6129

   

(.0039)

(.0039)

(.0044)

(.0057)

(.0069)

(.0077)

(.0061)

(.0080)

(.0088)

  

.2

.8183

.8182

.7778

.7146

.6847

.6098

.6701

.6368

.5432

   

(.0042)

(.0042)

(.0045)

(.0048)

(.0052)

(.0055)

(.0043)

(.0053)

(.0054)

 

50

.3

.7088

.7091

.6608

.6602

.6318

.5426

.6374

.6188

.5190

   

(.0041)

(.0041)

(.0047)

(.0044)

(.0045)

(.0047)

(.0039)

(.0043)

(.0046)

  

.4

.6237

.6239

.5902

.6071

.5881

.5206

.5883

.5811

.5071

   

(.0040)

(.0040)

(.0045)

(.0040)

(.0038)

(.0037)

(.0039)

(.0043)

(.0045)

  

.2

.9530

.9527

.9191

.8511

.8048

.7091

.7824

.7297

.6052

   

(.0019)

(.0019)

(.0026)

(.0037)

(.0046)

(.0056)

(.0043)

(.0052)

(.0063)

20

100

.3

.8043

.8043

.7666

.7050

.6555

.5738

.6575

.6241

.5270

   

(.0034)

(.0034)

(.0038)

(.0038)

(.0039)

(.0042)

(.0041)

(.0041)

(.0046)

  

.4

.7146

.7147

.6982

.6298

.5876

.5406

.5932

.5651

.5093

   

(.0039)

(.0039)

(.0042)

(.0039)

(.0041)

(.0042)

(.0039)

(.0041)

(.0043)

  

.2

.9440

.9440

.9239

.8163

.7430

.6929

.7387

.6634

.5996

   

(.0019)

(.0019)

(.0024)

(.0038)

(.0047)

(.0049)

(.0042)

(.0049)

(.0055)

 

150

.3

.8230

.8229

.8200

.6820

.6019

.5821

.6224

.5603

.5360

   

(.0032)

(.0032)

(.0035)

(.0042)

(.0043)

(.0045)

(.0039)

(.0042)

(.0041)

  

.4

.7237

.7239

.7215

.6256

.5634

.5411

.5939

.5443

.5155

   

(.0039)

(.0039)

(.0039)

(.0039)

(.0039)

(.0041)

(.0043)

(.0038)

(.0039)

  

.2

.6931

.6932

.6494

.6389

.6198

.5385

.6124

.6067

.5123

   

(.0031)

(.0031)

(.0033)

(.0032)

(.0031)

(.0033)

(.0028)

(.0028)

(.0031)

 

50

.3

.5875

.5874

.5716

.5580

.5443

.5069

.5494

.5436

.5014

   

(.0029)

(.0029)

(.0031)

(.0025)

(.0027)

(.0031)

(.0025)

(.0027)

(.0028)

  

.4

.5623

.5624

.5420

.5578

.5467

.5013

.5537

.5517

.5009

   

(.0028)

(.0028)

(.0029)

(.0025)

(.0027)

(.0030)

(.0026)

(.0028)

(.0030)

  

.2

.8050

.8051

.7651

.6949

.6447

.5675

.6506

.6214

.5295

   

(.0029)

(.0029)

(.0030)

(.0029)

(.0032)

(.0036)

(.0031)

(.0032)

(.0033)

30

100

.3

.7015

.7016

.6675

.6289

.5910

.5191

.6025

.5900

.5096

   

(.0028)

(.0028)

(.0030)

(.0025)

(.0030)

(.0031)

(.0027)

(.0031)

(.0032)

  

.4

.6180

.6183

.5975

.5758

.5564

.5071

.5649

.5551

.5007

   

(.0029)

(.0029)

(.0030)

(.0026)

(.0026)

(.0027)

(.0025)

(.0028)

(.0029)

  

.2

.8316

.8315

.8151

.6811

.6130

.5775

.6306

.5688

.5246

   

(.0026)

(.0026)

(.0028)

(.0031)

(.0033)

(.0035)

(.0032)

(.0032)

(.0033)

 

150

.3

.7112

.7114

.6965

.6151

.5672

.5269

.5919

.5526

.5056

   

(.0029)

(.0028)

(.0030)

(.0027)

(.0029)

(.0031)

(.0024)

(.0027)

(.0027)

  

.4

.6287

.6288

.6211

.5735

.5359

.5058

.5557

.5329

.5002

   

(.0026)

(.0026)

(.0027)

(.0028)

(.0027)

(.0028)

(.0026)

(.0026)

(.0026)

  1. Sparsity means the network sparsity, i.e., the number of edges divided by the number of all possible pairs of nodes