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Table 3 Results from the fit of the Weber–Fechner law [see Eq. (10)] to the observed relationship between the Death NLS and the logarithm of the daily number of deaths in each country (see Fig. 6)

From: Public risk perception and emotion on Twitter during the Covid-19 pandemic

Weber–Fechner law \(k\) \(s_0\) 95% CI \(t\) \(P>|t|\) \(R^2\) NRMSE \(n\)
Country    (\(k\)) (\(k\)) (\(k\))    
Argentina 1.044 0.0080 0.758 – 1.329 7.29 0.0 0.421 0.113 75
Australia 1.042 0.1047 0.508 – 1.576 3.94 0.0003 0.275 0.171 43
Canada 0.596 0.4477 0.508 – 0.683 13.53 0.0 0.683 0.105 87
Chile 0.575 0.0001 0.412 – 0.737 7.05 0.0 0.395 0.149 78
Colombia 0.604 0.0011 0.436 – 0.772 7.18 0.0 0.414 0.144 75
India 0.332 0.0061 0.264 – 0.4 9.69 0.0 0.543 0.128 81
Mexico 0.846 0.0300 0.742 – 0.95 16.2 0.0 0.775 0.101 78
Nigeria 0.457 0.0003 0.168 – 0.747 3.16 0.0025 0.147 0.222 60
South Africa 0.282 0.0001 0.127 – 0.436 3.64 0.0005 0.171 0.183 66
Spain − 0.016 Inf − 0.198 – 0.165 − 0.18 0.8593 0 0.198 82
UK 0.752 5.241 0.61 – 0.894 10.54 0.0 0.555 0.143 91
USA 0.788 4.2478 0.672 – 0.905 13.43 0.0 0.677 0.126 88
  1. Overall, this model best describes the relationship between the daily number of deaths local to each country and the Death NLS.