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Table 6 Comparison of the mean fit to four models

From: A two-parameter hazard function to describe age patterns of mortality in ancient Northwestern Europe

  Mean weighted root mean square error
Dataset 2-Par. modela 4-Par. modelb Siler modelc Brass ref level 12d Brass, best level per period (level)e
Per period      
EM 1640–1699 (n = 6) 0.174 0.162 0.191 0.200 0.178 (15)
EM 1700–1749 (n = 5) 0.187 0.162 0.170 0.185 0.184 (13)
EM 1750–1809 (n = 6) 0.158 0.147 0.163 0.166 0.165 (11)
HMD 1751–1800 (n = 50) 0.195 0.103 0.113 0.199 0.181 (8)
HMD 1801–1850 (n = 127) 0.111 0.071 0.077 0.135 0.132 (10)
HMD 1851–1900 (n = 350) 0.102 0.060 0.063 0.141 0.131 (7)
HMD 1901–1950 (n = 345) 0.066 0.036 0.049 0.120 0.103 (16)
HMD 1951–2000 (n = 350) 0.062 0.026 0.021 0.236 0.070 (24)
HMD 2001–2015 (n = 98) 0.105 0.040 0.029 0.284 0.086 (24)
Per country      
HMD Belgium 0.0763 0.0403 0.0393 0.1621  
HMD Denmark 0.0782 0.0420 0.0353 0.1799  
EM England 0.1722 0.1567 0.1749 0.1835  
HMD England & Wales 0.0726 0.0399 0.0495 0.1875  
HMD France 0.1045 0.0582 0.0714 0.1784  
HMD Netherlands 0.0812 0.0356 0.0351 0.1679  
HMD Norway 0.0810 0.0448 0.0465 0.1778  
HMD Sweden 0.1019 0.0537 0.0578 0.1613  
All 1337 life tables 0.0877 0.0473 0.0506 0.1730  
  1. Notes:
  2. aOur two-parameter model: see equations 11a-c.
  3. bOur four-parameter model: see equations 2-5.
  4. cThe Siler model: see equation 1.
  5. dThe Brass logit method with Princeton Model West level 12 as its reference.
  6. eThe Brass logit method with the best-suited Princeton Model West level per period, taken from Additional file 1.
  7. Source data: Human Mortality Database (2017, 2017, 2018); Wrigley et al. (1997: 224, 239, 250, 290)