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. 2007 Jun 19;104(26):10762–10767. doi: 10.1073/pnas.0611337104

Table 2.

Frailty model parameter estimates for the stratified data sets during 3- and 5-year observation periods

Data
Parameter estimates
Deviance (Dev) statistics
Study periods and groups Obs. α 95% C.I. β per year 95% C.I. δ 95% C.I. ε per year 95% C.I. Dev Dev,* mean (SD) P value
Men
    3-year
        18–29 y 270 5.7 2.0–6.0 0.83 0.75–1.70 0.52 0.35–0.61 0.95 0.64–1.02 129.9 120.7 (12.1) 0.2246
        30–39 y 328 1.5 1.1–3.0 0.26 0.19–0.33 0.66 0.50–0.85 0.63 0.48–0.81 127.4 123.7 (13.5) 0.3906
        40–49 y 329 4.5 2.0–16.1 0.13 0.09–1.17 0.80 0.56–0.95 0.60 0.46–0.78 78.8 73.9 (9.8) 0.3071
        Single 301 11.5 7.0–27.0 1.26 1.00–1.58 0.50 0.40–0.59 1.24 1.08–1.43 172.3 141.8 (13.1) 0.0101
        Cohab 625 1.2 0.8–2.6 0.14 0.11–0.17 0.67 0.42–0.87 0.35 0.27–0.45 98.5 92.3 (12.1) 0.3054
    5-year
        18–29 y 260 3.4 2.0–5.5 1.13 0.74–1.72 0.48 0.35–0.60 0.77 0.64–0.94 181.4 165.0 (13.8) 0.1189
        30–39 y 328 1.3 0.9–2.1 0.13 0.08–0.20 0.63 0.48–0.77 0.49 0.37–0.63 192.5 179.2 (15.5) 0.1965
        40–49 y 328 1.8 1.1–3.1 0.08 0.05–0.12 0.65 0.44–0.83 0.47 0.34–0.63 111.6 103.1 (11.7) 0.2335
        Single 292 7.6 5.0–13.0 1.26 0.90–1.77 0.46 0.37–0.55 1.10 0.93–1.28 224.9 207.4 (14.9) 0.1191
        Cohab 623 0.9 0.7–1.6 0.10 0.07–0.13 0.63 0.43–0.78 0.26 0.20–0.34 145.3 137.5 (14.9) 0.2993
Women
    3-year
        18–29 y 434 4.5 2.5–16.2 0.46 0.37–0.57 0.64 0.51–0.79 0.62 0.52–0.72 76.5 87.1 (11.2) 0.8270
        30–39 y 426 1.6 1.6–3.5 0.12 0.09–0.16 0.36 0.13–0.62 0.71 0.55–0.89 59.8 60.8 (10.1) 0.5401
        40–49 y 357 3.3 1.6–17.0 0.12 0.08–0.16 0.50 0.20–0.77 0.62 0.47–0.82 32.3 39.5 (8.1) 0.8105
        Single 361 5.5 3.1–13.2 1.33 1.05–1.74 0.32 0.19–0.46 1.14 0.98–1.32 86.8 84.6 (11.2) 0.4215
        Cohab 850 5.5 2.0–15.5 0.09 0.07–0.11 0.56 0.34–0.84 0.30 0.24–0.35 51.9 39.4 (8.0) 0.0574
    5-year
        18–29 y 422 1.8 1.3–3.0 0.64 0.45–0.86 0.60 0.49–0.73 0.45 0.35–0.55 112.6 131.8 (13.9) 0.9164
        30–39 y 416 1.5 0.9–2.8 0.07 0.04–0.11 0.57 0.31–0.80 0.42 0.30–0.59 67.2 79.4 (11.3) 0.8601
        40–49 y 349 1.2 0.7–3.6 0.08 0.05–0.11 0.36 0.09–0.69 0.50 0.35–0.71 56.7 52.4 (9.5) 0.3232
        Single 346 4.5 2.6–8.9 1.96 1.32–3.02 0.38 0.25–0.50 0.92 0.77–1.10 125.1 126.2 (13.4) 0.0082
        Cohab 835 2.1 1.2–15.5 0.06 0.04–0.08 0.60 0.40–0.80 0.19 0.14–0.24 75.8 63.7 (10.2) 0.1175

Analysis of data sets stratified by civil status and age. The data are separated into classes of single individuals living alone and those cohabitating (cohab) during the previous 1-year time period before the study ended. The age-stratified data sets were constructed by grouping the sample population into three 10-year age cohorts based on age by the end of the survey. The δ exponents are found to be distinctly sublinear. The parameter estimates β and ε are significantly increased for persons living singly and among young men between the ages of 18 and 29, whereas these baseline parameters are reduced for people in a live-in relationship. Lt, lifetime; Obs., observations.

*Sample of deviance generated from bootstrapping the data.