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. Author manuscript; available in PMC: 2014 Jun 5.
Published in final edited form as: Popul Stud (Camb). 2011 Dec 13;66(1):1–28. doi: 10.1080/00324728.2011.611411

Table 5.

Root-mean-squared-errors (RMSEs) for e0, 1q0, 45 q15, and 20q60 by sex, various model life table methods, other (non-HMD) life tables

Female Male
e0 1q0 45 q 15 20q60 e0 1q0 45 q 15 20q60
WHO-1802 life tables
Given 5q0 only:
 Log-quadratic 2.63 0.007 0.045 0.069 2.86 0.007 0.056 0.083
 Modified logit (re-est.) 2.64 0.007 0.043 0.075 2.96 0.007 0.057 0.087
 Modified logit (orig.) 2.36 0.008 0.041 0.067 2.70 0.008 0.056 0.085
Given 5q0 and 45q15:
 Log-quadratic 1.13 0.007 0 0.072 1.00 0.007 0 0.066
 Modified logit (re-est.) 1.06 0.007 0 0.057 0.91 0.007 0 0.059
 Modified logit (orig.) 0.92 0.008 0 0.050 0.77 0.009 0 0.059

INDEPTH life tables
Given 5q0 only:
 Log-quadratic 4.06 0.032 0.111 0.139 3.72 0.037 0.122 0.127
 Modified logit (re-est.) 4.07 0.027 0.109 0.150 3.93 0.032 0.131 0.129
 Modified logit (orig.) 3.93 0.034 0.112 0.133 4.13 0.043 0.127 0.126
Given 5q0 and 45q15:
 Log-quadratic 2.70 0.032 0 0.139 2.02 0.037 0 0.132
 Modified logit (re-est.) 2.24 0.028 0 0.151 1.95 0.030 0 0.139
 Modified logit (orig.) 1.75 0.034 0 0.136 1.48 0.042 0 0.137

Human Life-table Database
Given 5q0 only:
 Log-quadratic 2.39 0.011 0.059 0.060 2.78 0.010 0.063 0.057
 Modified logit (re-est.) 2.48 0.012 0.058 0.060 2.73 0.011 0.062 0.055
 Modified logit (orig.) 2.33 0.013 0.058 0.064 2.72 0.013 0.066 0.056
Given 5q0 and 45q15:
 Log-quadratic 0.90 0.011 0 0.061 0.89 0.010 0 0.048
 Modified logit (re-est.) 0.77 0.015 0 0.053 0.83 0.012 0 0.046
 Modified logit (orig.) 0.77 0.014 0 0.057 0.91 0.014 0 0.046
Notes:
  1. In this table the log-quadratic model was estimated using the bi-weight method.
  2. For the modified logit model, two versions are shown here: the “original” model with coefficients as estimated by Murray et al. (2003), and a new “re-estimated” version derived from the HMD dataset used here for fitting the log-quadratic model.
  3. For tests with the HLD database, certain life tables are excluded (n=43) in the results for 20q60 because they do not have the requisite data.

Source: Authors’ calculations using data as summarized in Tables 1b, 1c, and 1d