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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