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 |
- In this table the log-quadratic model was estimated using the bi-weight method.
- 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.
- 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