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Table 7 The estimated residual (\(\sigma _{e}^{2}\)), replicate (\(\sigma _{r}^{2}\)) and blocks within replicates (\(\sigma _{r:b}^{2}\)) variance components, genetic variance (\(\sigma _{s}^{2}\)), heritability computed by Method M5 (H2.M5) and predictive accuracy computed by Methods M5 (PA.M5) and M7 (PA.M7), using the classical (CLS) and robust (ROB) approaches, for the rye dataset

From: Robust estimation of heritability and predictive accuracy in plant breeding: evaluation using simulation and empirical data

Stage

Parm †

CLS r

ROB r

CLS qc

ROB qc

CLS r*

ROB r*

1

\(\sigma _{e}^{2}\)

120.1400

17.6797

5.5267

5.3369

5.5267

5.3674

 

\(\sigma _{r}^{2}\)

4.4262

6.4327

5.2124

5.7228

5.2124

5.7276

 

\(\sigma _{b}^{2}\)

0.0000

8.1911

11.5441

11.8846

11.5441

11.8804

 

\(\sigma _{s}^{2}\)

41.2101

40.4765

24.6136

24.3552

21.8182

21.5183

3

H2.M5

0.4628

0.7387

0.8373

0.8339

0.8305

0.8259

 

H2.OK

0.1906

0.4681

0.6220

0.6160

0.6173

0.6094

 

PA.M5

0.6803

0.8594

0.9150

0.9132

0.9113

0.9088

 

PA.M7

0.6531

0.8428

0.9038

0.9018

0.8997

0.8969

  1. † Parm=Parameter;
  2. r refers to the raw dataset, i.e, the original dataset before quality control;
  3. qc refers to dataset after quality control; r* refers to the cleaned raw dataset