Asked by Heidi Jackeline on May 13, 2024
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What is the effective number exposed to risk of dying in the 13- to 24-month interval? Use the following table to answer the question. Survival of Patients With Metastatic Cancer Z Following Diagnosis
Interval since beginning treatment (months) Alive at beginning of interval Died during interva 1 Withdre w during interval Effective number exposed to risk of dying Proporti on who died during interval Proportion who did not die during interval Cumulative proportion who survived from enrollment to end of interval xIxdxWxIx′qxpxPx1−12200104013−24150203025−36100302037−48504010\begin{array}{|l|l|l|l|l|l|l|l|}\hline \begin{array}{l}\text { Interval } \\\text { since } \\\text { beginning } \\\text { treatment } \\\text { (months) }\end{array} & \begin{array}{l}\text { Alive at } \\\text { beginning } \\\text { of } \\\text { interval }\end{array} & \begin{array}{l}\text { Died } \\\text { during } \\\text { interva } \\1\end{array} & \begin{array}{l}\text { Withdre } \\\text { w during } \\\text { interval }\end{array} & \begin{array}{l}\text { Effective } \\\text { number } \\\text { exposed } \\\text { to risk of } \\\text { dying }\end{array} & \begin{array}{l}\text { Proporti } \\\text { on who } \\\text { died } \\\text { during } \\\text { interval }\end{array} & \begin{array}{l}\text { Proportion } \\\text { who did not } \\\text { die during } \\\text { interval }\end{array} & \begin{array}{l}\text { Cumulative } \\\text { proportion } \\\text { who } \\\text { survived } \\\text { from } \\\text { enrollment } \\\text { to end of } \\\text { interval }\end{array} \\\hline x & I_{x} & d_{x} & W_{x} & I_{x}^{\prime} & q_{x} & p_{x} & P_{x} \\\hline 1-12 & 200 & 10 & 40 & & & & \\\hline 13-24 & 150 & 20 & 30 & & & & \\\hline 25-36 & 100 & 30 & 20 & & & & \\\hline 37-48 & 50 & 40 & 10 & & & & \\\hline\end{array} Interval since beginning treatment (months) x1−1213−2425−3637−48 Alive at beginning of interval Ix20015010050 Died during interva 1dx10203040 Withdre w during interval Wx40302010 Effective number exposed to risk of dying Ix′ Proporti on who died during interval qx Proportion who did not die during interval px Cumulative proportion who survived from enrollment to end of interval Px
A) 40
B) 90
C) 120
D) 135
E) 160
Effective Number
A statistical concept that represents the number of units in a dataset that contribute information to a particular analysis, often used in the context of sample size or diversity.
Risk of Dying
The probability or chance of an individual dying from a specific cause or in a given time period.
Metastatic Cancer
Cancer that has spread from the primary site of origin to different areas of the body through the lymph system or bloodstream.
- Calculate the effective number exposed to the risk of dying in survival analysis.
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Learning Objectives
- Calculate the effective number exposed to the risk of dying in survival analysis.
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