# R Dataset / Package HistData / HalleyLifeTable

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dataset-85212.csv | 2.21 KB |

Dataset Help |
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On this Picostat.com statistics page, you will find information about the HalleyLifeTable data set which pertains to Halley's Life Table. The HalleyLifeTable data set is found in the HistData R package. You can load the HalleyLifeTable data set in R by issuing the following command at the console data("HalleyLifeTable"). This will load the data into a variable called HalleyLifeTable. If R says the HalleyLifeTable data set is not found, you can try installing the package by issuing this command install.packages("HistData") and then attempt to reload the data. If you need to download R, you can go to the R project website. You can download a CSV (comma separated values) version of the HalleyLifeTable R data set. The size of this file is about 2,262 bytes. |

Documentation |
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## Halley's Life Table## DescriptionIn 1693 the famous English astronomer Edmond Halley studied the birth and death records of the city of Breslau, which had been transmitted to the Royal Society by Caspar Neumann. He produced a life table showing the number of people surviving to any age from a cohort born the same year. He also used his table to compute the price of life annuities. ## Usagedata("HalleyLifeTable") ## FormatA data frame with 84 observations on the following 4 variables. `age` a numeric vector `deaths` number of deaths, *D_k*, among people of age k, a numeric vector`number` size of the population, *P_k*surviving until this age, a numeric vector`ratio` the ratio *P_{k+1}/P_k*, the conditional probability of surviving until age k + 1 given that one had already reached age k, a numeric vector
## DetailsHalley's table contained only The data from Breslau had a mean of 1,238 births per year: this is the value that
Halley took for the size,
This method had the great advantage of not requiring a general census but only knowledge of the number of births and deaths and of the age at which people died during a few years. ## SourceN. Bacaer (2011), "Halley's life table (1693)", Ch 2, pp 5-10.
In ## ReferencesHalley, E. (1693). An estimate of the degrees of the mortality of mankind, drawn from
curious tables of the births and funerals at the city of Breslaw; with an attempt
to ascertain the price of annuities upon lives.
The text of Halley's paper was found at http://www.pierre-marteau.com/editions/1693-mortality.html ## See Also
## Examplesdata(HalleyLifeTable) # what was the estimated population of Breslau? sum(HalleyLifeTable$number)# plot survival vs. age plot(number ~ age, data=HalleyLifeTable, type="h", ylab="Number surviving")# population pyramid is transpose of this plot(age ~ number, data=HalleyLifeTable, type="l", xlab="Number surviving") with(HalleyLifeTable, segments(0, age, number, age, lwd=2))# conditional probability of survival, one more year plot(ratio ~ age, data=HalleyLifeTable, ylab="Probability survive one more year") -- Dataset imported from https://www.r-project.org. |

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