| lifetable {fmsb} | R Documentation |
Lifetable functions with mutual conversions
Description
Lifetable related functions.
Usage
lifetable(mx, ns=NULL, class=5, mode=1)
lifetable2(mx, ax=0.5, n=1)
lifetable3(lx, ax=0.5, n=1)
clifetable(qx)
lxtodx(lx)
dxtolx(dx)
qxtodx(qx)
dxtoqx(dx)
qxtomx(qx, ax=0.5, n=1, mmax=NULL)
mxtoqx(mx, ax=0.5, n=1)
qxtolx(qx)
lxtoqx(lx)
uxtoqx(ux)
hlifetable(mx, ax=0.5, n=5, pix=0, Nx=NULL, conf.level=0.95)
getax(lx, Tx, n=5)
Arguments
mx |
Lifetable function mx, meaning the age (class)-specific death rates. |
ns |
If given as a vector with the same length as mx, the duration for each age (class). Default is NULL: same duration with class is automatically used. |
n |
If given as a vector with the same length as mx or qx, the duration for each age (class). Default is 1, which means the length for all age-classes being 1 year. |
class |
Age-class of lifetable() function. Default is 5. |
mode |
How to set ax and correction method in conversion from mx to qx. 1 and 11: all ax is 0.5 except the open-ended class [where ax is reciprocal of mx], 2, 4, 12, 14: ax is 0.1 for age 0, 0.4 for age 1-4, 0.5 for the other ages except the open-ended class [where ax is reciprocal of mx], 3, 5, 13, 15: ax is 0.3 for age 0, 0.4 for age 1-4, 0.5 for the other ages except the open-ended class [where ax is reciprocal of mx], 6 and 16: Males value given in Preston SH (2001), pp.48 Table 3.3, 7 and 17: Females value given in Preston SH (2001), pp.48 Table 3.3. If less than 10, simply calculating qx as n*mx/(1+n*(1-ax)*mx) (Note: In the formula of Preston SH (2001) pp.47, the function is given as n*mx/(1+(n-ax)*mx). The difference is due to the formulation of ax. In this function, ax is given for single age, same as Newell C (1988), pp.71) except for the open-ended class where qx=1, otherwise calculating qx by Greville's method. Default is 1. |
ax |
Lifetable function ax, fraction of last year lived. Default is 0.5 (scalar) for all classes. It can be given as scalar or vector. Note: This argument can only be specified in lifetable2() or lifetable3(), not in lifetable(). |
qx |
Lifetable function qx, which means the probability of dying between age x and x+1 (for lifetable(), x+class). |
mmax |
To calculate mx from qx, mx at the maximum open-ended age-class cannot be calculated from qx. In such situation, mmax gives a value for it. Default is NULL. |
lx |
Lifetable function lx, which means number of people left alive at age x from 100,000 newborns. |
dx |
Lifetable function dx, which means number of people dying between age x and x+1 (for lifetable(), x+class) from 100,000 newborns. Differentials of lx. |
ux |
The force of mortality. |
pix |
age-(class-)specific proportions of unhealthy people. |
Nx |
Population of xth age-class, which is needed to calculate confidence intervals. |
conf.level |
The level of confidence intervals. Default is 0.95. |
Tx |
Lifetable function Tx, which means sum of person-years lived above age x. |
Value
ages |
Lifetable's exact age x, which is the beginning of each interval. |
n |
Duration of each interval. If ns is not given, the value of the class is repeatedly used. |
mx |
Lifetable function mx, meaning the age (class)-specific death rates. |
qx |
Lifetable function qx, which means the probability of dying between age x and x+1 (for lifetable(), x+class). |
ax |
Lifetable function ax, which means the average number of person-years lived in the interval by those dying in the interval. In lifetable(), it's automatically specified by mode. |
lx |
Lifetable function lx, which means number of people left alive at age x from 100,000 newborns. |
dx |
Lifetable function dx, which means number of people dying between age x and x+1 (for lifetable(), x+class) from 100,000 newborns. Differentials of lx. |
Lx |
Lifetable function Lx, which means person-years lived between age x and x+class. |
Tx |
Lifetable function Tx, which means person-years lived above age x. |
ex |
Lifetable function ex, which means expectation of life at age x. |
Author(s)
Minato Nakazawa minatonakazawa@gmail.com https://minato.sip21c.org/
References
Preston SH, Heuveline P, Guillot M (2001) Demography: Measuring and Modeling Population Processes. Blackwell Publishing, Oxford.
Newell C (1988) Methods and Models in Demography. The Guilford Press, New York.
Sullivan DF (1971) A single index of mortality and morbidity. HSMHA Health Reports, 86: 347-354.
See Also
Examples
lifetable(c(0.0087, 0.00015, 0.00019, 0.00098, 0.0013, 0.0011, 0.0014, 0.0019,
0.0029, 0.0048, 0.0071, 0.011, 0.019, 0.028, 0.041, 0.072, 0.11,
0.19), class=5, mode=11)
lifetable2(c(0.008314, 0.000408, 0.000181, 0.000187, 0.000282, 0.000307, 0.000364,
0.000566, 0.000884, 0.001445, 0.002485, 0.004210, 0.007219, 0.012054,
0.018259, 0.029920, 0.049689, 0.085545, 0.177987),
ax = c(0.1, 0.4, rep(0.5, 16), NA), n = c(1, 4, rep(5, 16), NA) )
lifetable3(lx=c(1.0, 0.8499, 0.8070, 0.7876, 0.7762, 0.7691, 0.7502, 0.7362,
0.7130, 0.6826, 0.6525, 0.6223, 0.5898, 0.5535, 0.5106, 0.4585,
0.3965, 0.3210, 0.2380, 0.1516, 0.0768, 0.0276, 0.0059, 0.0006, 0),
n=c(rep(1, 5), rep(5, 20)), ax=c(0.3, rep(0.5, 24))) # Newell, Table 13.1
clifetable(Jlife$qx2000F)