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Table 3 The mean square errors (MSE) of estimated gene expression levels (up:down = 9:1) for simulated cDNA microarray data with the R-I plots similar to Figure 3.

From: A robust two-way semi-linear model for normalization of cDNA microarray data

Percentage of DEG

Descriptive Statistics

 

Method

Mean

Minimum

25% Quantile

Median

75% Quantile

Maximum

1%

OLS

0.0370

0.0116

0.0258

0.0323

0.0410

2.2092

 

Huber

0.0248

0.0112

0.0195

0.0223

0.0255

1.7156

 

Tukey

0.0238

0.0109

0.0191

0.0217

0.0247

1.5648

 

LOWESS

0.0375

0.0119

0.0251

0.0321

0.0419

2.2162

5%

OLS

0.0489

0.0126

0.0265

0.0333

0.0422

1.5836

 

Huber

0.0324

0.0110

0.0198

0.0228

0.0263

1.1765

 

Tukey

0.0299

0.0108

0.0194

0.0222

0.0254

1.0278

 

LOWESS

0.0493

0.0125

0.0255

0.0325

0.0429

1.6134

10%

OLS

0.0692

0.0124

0.0285

0.0359

0.0464

1.6907

 

Huber

0.0455

0.0098

0.0210

0.0245

0.0288

1.1667

 

Tukey

0.0404

0.0102

0.0204

0.0236

0.0276

1.0175

 

LOWESS

0.0692

0.0119

0.0270

0.0349

0.0461

1.6846

20%

OLS

0.0961

0.0137

0.0324

0.0428

0.0570

1.8614

 

Huber

0.0632

0.0124

0.0235

0.0282

0.0354

1.2969

 

Tukey

0.0547

0.0127

0.0225

0.0266

0.0329

1.0525

 

LOWESS

0.0950

0.0154

0.0325

0.0431

0.0580

1.8834

40%

OLS

0.1439

0.0147

0.0493

0.0665

0.1007

2.5021

 

Huber

0.0960

0.0134

0.0330

0.0446

0.0673

1.9988

 

Tukey

0.0821

0.0136

0.0305

0.0401

0.0602

1.6771

 

LOWESS

0.1562

0.0187

0.0832

0.1121

0.1418

3.0480

*70%

OLS

0.1530

0.0138

0.0554

0.1146

0.1882

1.2717

 

Huber

0.1040

0.0121

0.0366

0.0791

0.1267

0.9153

 

Tukey

0.0901

0.0115

0.0337

0.0700

0.1098

0.7778

 

LOWESS

0.4082

0.0350

0.1651

0.3563

0.6331

1.0816

  1. DEG: differentially expressed genes. *: all DEG are up-regulated. OLS: the TW-SLM using the ordinary least squares.
  2. Huber: the robust TW-SLM using Huber's weight function. Tukey: the robust TW-SLM using Tukey's weight function.