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Table 1 Proportion of explained variance (R2) and proportion of significant coefficients (p-values below 5%) in the relationship between the log GHQ-12 Likert score with the log-transformed ERI ratio, ERI ratio, and effort and reward score by the degree of NA influence across 10,000 simulated populations

From: Effort, reward and self-reported mental health: a simulation study on negative affectivity bias

  

Items affected by NA

  

0%

10%

20%

30%

40%

 

subjects with NA

R2

Proportion of significant coef.

R2

Proportion of significant coef.

R2

Proportion of significant coef.

R2

Proportion of significant coef.

R2

Proportion of significant coef.

Model 1 including the log-transformed ERI

5%

0.34%

0.05

0.36%

0.06

0.50%

0.11

1.00%

0.29

2.00%

0.59

 

10%

0.34%

0.05

0.39%

0.07

0.85%

0.23

2.33%

0.68

5.08%

0.95

 

20%

0.34%

0.05

0.46%

0.09

1.73%

0.54

5.34%

0.98

11.28%

1.00

Model 1 including the ERI score

5%

0.34%

0.05

0.36%

0.06

0.52%

0.12

1.13%

0.33

2.41%

0.67

 

10%

0.34%

0.05

0.39%

0.07

0.92%

0.26

2.65%

0.74

5.95%

0.98

 

20%

0.34%

0.05

0.46%

0.09

1.86%

0.57

5.86%

0.98

12.47%

1.00

Model 2 including the effort and reward

  

ea /rb /erc

 

ea /rb /erc

 

ea /rb /erc

 

ea /rb /erc

 

ea /rb /erc

 

5%

0.68%

0.05/0.05/0.00

0.70%

0.05/0.05/0.00

0.88%

0.08/0.08/0.01

1.51%

0.17/0.15/0.04

2.77%

0.27/0.21/0.16

 

10%

0.68%

0.05/0.05/0.00

0.73%

0.06/0.06/0.00

1.31%

0.14/0.13/0.03

3.12%

0.28/0.23/0.21

6.42%

0.21/0.15/0.61

 

20%

0.68%

0.05/0.05/0.00

0.82%

0.07/0.07/0.01

2.37%

0.26/0.21/0.11

6.62%

0.19/0.13/0.65

13.41%

0.03/0.01/0.96

  1. a Effort is significant and Reward is not significant
  2. b Reward is significant and Effort is not significant
  3. c Effort and Reward are significant
  4. 1 Model based on simple linear regression
  5. 2 Model based on multiple linear regression