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. 2020 Sep 12;27(1):38–63. doi: 10.1007/s10985-020-09505-1

Table 3.

Estimates for model of Definition 1 subject to right-censoring (top) and double-censoring (bottom)

Age-effect 1900–1909 1910–1919 1920–1929 1940–1949 1950–1959 Sex-effect
a^ (×103) β^1 β^21 β^22 β^23 β^24 β^25 β^3
Number of persons in sample (by birth decade) 1698 15452 51720 64197 27663
Excluding left-censored persons Only cohort-effect 4.997 0.651 0.881 0.702 − 0.755 − 0.994
[4.90, 5.10] [0.56, 0.74] [0.85, 0.91] [0.68, 0.73] [-0.80, − 0.71] [-1.08, − 0.91]
Only age-effect 0.221 0.152
[0.213, 0.229] [0.150, 0.154]
Cox-type − 3.767 − 2.348 − 1.103 1.222 2.667 − 0.092
[− 3.88, − 3.66] [− 2.40, − 2.30] [− 1.14, − 1.07] [1.17, 1.28] [2.55, 2.79] [− 0.11, − 0.07]
Definition 1 0.058 0.226 − 3.476 − 2.035 − 0.816 0.917 2.084 − 0.087
[0.056, 0.060] [0.224, 0.228] [− 3.57, − 3.38] [− 2.07, − 2.00] [− 0.84, − 0.79] [0.87, 0.96] [2.00, 2.17] [− 0.11, − 0.07]
Number of left-censored persons in sample (by birth decade) 659 3687 4408 485 102
Percentage of all persons in sample (by birth decade) 38.8% 23.9% 8.5% 0.8% 0.4%
Including left-censored persons Only cohort-effect 5.774 1.138 1.101 0.759 − 0.729 − 0.977
[5.67, 5.88] [1.08, 1.20] [1.07, 1.13] [0.74, 0.78] [− 0.77, − 0.69] [− 1.05, − 0.90]
Only age-effect 0.433 0.137
[0.42, 0.44] [0.137, 137]
Definition 1 0.190 0.183 − 2.095 − 1.177 − 0.441 0.525 1.342 − 0.039
[0.18, 0.20] [0.181, 0.185] [− 2.16, − 2.03] [− 1.21, − 1.14] [− 0.47, − 0.42] [0.48, 0.57] [1.26, 1.42] [− 0.06, − 0.02]

95% Confidence intervals based normality of Theorem 1 with standard errors from inverse of (9)