On the basis of experience with calculated survivorships of patients following treatment for cancer, a simple function, in terms of two physically meaningful parameters, has been evolved, which fits such survivorship data very well. These two parameters can be used to compare succinctly the mortality of two groups, different in respect of treatment, type of cancer, or other characteristics. The parameters are c ("cured"), which represents the proportion of the population which is subject only to "normal" death rates, and β, which is the death rate from the cancer, to which the rest of the population \lbrack not "cured," (1 - c)\rbrack is subject. Thus if one treatment is characterized by c1 = 0.30, β1 = 0.25, another by c2 = 0.20, β2 = 0.15, this could be interpreted as meaning that while the first treatment "cured" a larger proportion of the population than did the second treatment, it did not ameliorate the deaths attributable to cancer in the patients not cured as much as did the second treatment. If lT is the proportion of the total population surviving to time t, then the function is lT = cl0 + (1 - c)l0e- βt where l0 is the net survivorship corresponding to "normal" deaths, obtained from standard life tables. A graphic method and also a "least squares" method of estimating c and β are presented with an example, and the evaluated parameters are given for several series of treated cancer patients. Expectation of life and other functions of the life table also have been calculated from the evaluated parameters, for the same series.
The Journal of the American Statistical Association (JASA) has long been considered the premier journal of statistical science. Science Citation Index reported JASA was the most highly cited journal in the mathematical sciences in 1991-2001, with 16,457 citations, more than 50% more than the next most highly cited journals. Articles in JASA focus on statistical applications, theory, and methods in economic, social, physical, engineering, and health sciences and on new methods of statistical education.
Building on two centuries' experience, Taylor & Francis has grown rapidlyover the last two decades to become a leading international academic publisher.The Group publishes over 800 journals and over 1,800 new books each year, coveringa wide variety of subject areas and incorporating the journal imprints of Routledge,Carfax, Spon Press, Psychology Press, Martin Dunitz, and Taylor & Francis.Taylor & Francis is fully committed to the publication and dissemination of scholarly information of the highest quality, and today this remains the primary goal.
This item is part of JSTOR collection
For terms and use, please refer to our Terms and Conditions
Journal of the American Statistical Association
© 1952 American Statistical Association
Request Permissions