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Table 4 Bias 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

0.0000

-0.8219

-0.0173

-0.0043

0.0094

1.4229

 

Huber

0.0000

-0.6011

-0.0146

-0.0034

0.0080

1.2449

 

Tukey

0.0000

-0.4942

-0.0137

-0.0031

0.0079

1.1431

 

LOWESS

0.0017

-0.8382

-0.0155

-0.0018

0.0116

1.4261

5%

OLS

0.0000

-1.1839

-0.0307

-0.0151

0.0009

1.1853

 

Huber

0.0000

-1.0325

-0.0258

-0.0118

0.0016

0.9497

 

Tukey

0.0000

-0.9366

-0.0240

-0.0107

0.0024

0.8284

 

LOWESS

0.0028

-1.1707

-0.0257

-0.0123

0.0015

1.1979

10%

OLS

0.0000

-1.2366

-0.0567

-0.0351

-0.0108

1.2074

 

Huber

0.0000

-1.0440

-0.0477

-0.0297

-0.0078

1.0073

 

Tukey

0.0000

-0.9654

-0.0444

-0.0270

-0.0056

0.9112

 

LOWESS

0.0034

-1.2259

-0.0467

-0.0310

-0.0151

1.2333

20%

OLS

0.0000

-1.2168

-0.0922

-0.0677

-0.0368

1.3011

 

Huber

0.0000

-0.9445

-0.0771

-0.0568

-0.0286

1.0866

 

Tukey

0.0000

-0.8220

-0.0707

-0.0510

-0.0241

0.9765

 

LOWESS

-0.0089

-1.2455

-0.0953

-0.0765

-0.0537

1.3045

40%

OLS

0.0000

-1.5360

-0.1722

-0.1230

0.1383

1.3821

 

Huber

0.0000

-1.3680

-0.1451

-0.1030

0.1192

1.1008

 

Tukey

0.0000

-1.2384

-0.1328

-0.0934

0.1114

0.9741

 

LOWESS

-0.1418

-1.7047

-0.2937

-0.2553

-0.0205

1.2253

*70%

OLS

0.0000

-0.5137

-0.2925

-0.0519

0.2306

1.0736

 

Huber

0.0000

-0.4227

-0.2466

-0.0429

0.1947

0.9327

 

Tukey

0.0000

-0.3924

-0.2259

-0.0390

0.1802

0.8543

 

LOWESS

-0.5203

-1.0007

-0.7719

-0.5651

-0.3230

0.5017

  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.