Table 5 Effect of sampling strategy on results of ETL mapping in random hybridization design of F2 plants (200 replicates)

From: Mapping epistatic quantitative trait loci underlying endosperm traits using all markers on the entire genome in a random hybridization design

Sampling strategy

Statistic

b0

σ2

ETL 1

ETL 2

ETL 3

ETL 2 × ETL 3

False-positive rate (%)

    

a1

d11

d12

Posi.

a2

d21

Posi.

a3

Posi.

Posi.

Posi.

a

d

iaa

iad

idd

True value

100.000

2.000

5.200

−5.200

60.00

3.000

3.000

60.00

1.000

60.00

1.500

60.00

60.00

     

600 × 5a

Mean

100.092

13.245

1.992

5.137

−5.064

60.00

3.042

2.874

59.58

0.931

59.88

1.443

59.81

60.06

0.11

0.06

0.09

0.01

0.00

 

s.d.

0.413

0.846

0.202

0.676

0.664

0.17

0.231

0.562

2.22

0.199

5.79

0.258

3.07

2.99

     
 

Power

  

1.000

1.000

1.000

 

1.000

0.915

 

0.955

 

0.985

       

300 × 10

Mean

100.211

6.575

1.970

5.172

−5.080

59.99

3.052

2.928

59.60

0.925

58.71

1.437

58.78

59.66

0.06

0.10

0.09

0.00

0.00

 

s.d.

0.454

0.598

0.224

0.703

0.705

0.29

0.237

0.508

2.42

0.200

6.81

0.306

6.24

2.30

     
 

Power

  

1.000

1.000

1.000

 

1.000

0.730

 

0.940

 

0.920

       

200 × 15

Mean

100.350

4.561

1.979

5.055

−5.061

59.96

3.115

2.967

59.60

0.917

58.91

1.416

59.01

59.57

0.06

0.03

0.08

0.00

0.00

 

s.d.

0.482

0.591

0.209

0.711

0.715

0.28

0.251

0.540

2.43

0.211

6.51

0.271

6.17

5.31

     
 

Power

  

1.000

1.000

1.000

 

1.000

0.575

 

0.870

 

0.910

       

150 × 20

Mean

100.474

3.775

1.991

5.073

−5.031

59.98

3.140

3.099

59.85

0.967

58.43

1.390

59.03

59.32

0.00

0.04

0.04

0.00

0.00

 

s.d.

0.543

0.645

0.244

0.807

0.817

0.18

0.267

0.563

1.22

0.239

7.87

0.301

8.09

8.03

     
 

Power

  

1.000

1.000

1.000

 

1.000

0.350

 

0.760

 

0.700

       

100 × 30

Mean

100.734

3.348

1.960

5.041

−5.094

60.02

3.189

3.296

59.99

1.018

58.81

1.401

59.16

58.26

0.03

0.03

0.03

0.00

0.00

 

s.d.

0.644

0.873

0.260

0.946

1.020

0.50

0.305

0.736

0.22

0.264

7.91

0.351

10.95

8.04

     
 

Power

  

1.000

0.960

0.975

 

1.000

0.060

 

0.505

 

0.390

       
  1. Abbreviations: a, additive effect; d, dominant effect; ETL, endosperm trait locus; i, interaction effect; Posi., ETL position (cM); s.d., standard deviation.
  2. a5 seeds are sampled from each of 600 F2 maternal plants.