Consider the data table showing epidemiology data for 36 individuals with a disease and 38 healthy comparison individuals. Their deaths are recorded over a period of 16 months.

$\begin{array}{c}\underline { \text { Diseased } } \quad \quad \quad \quad \quad \quad \quad \quad\underline { \text { Healthy}}\\\begin{array}{cccc}\text { Time } & \text { \# at risk } & \text { Deaths } & \text { \# at risk } & \text { Deaths } \\2 & 36 & 2 & 38 & 2 \\4 & 33 & 7 & 35 & 4 \\6 & 25 & 5 & 31 & 3 \\8 & 20 & 5 & 27 & 4 \\10 & 15 & 2 & 20 & 2 \\12 & 13 & 3 & 18 & 3 \\14 & 9 & 1 & 14 & 1 \\16 & 8 & 1 & 12 & 2\end{array}\end{array}$
a.Calculate the hazard ratio and 95% confidence interval for the hazard ratio.
b.Perform a χ² test on the hazard ratio. Present the χ² value, a range for the P-value it corresponds to, and the interpretation of your test.

Question

Consider the data table showing epidemiology data for 36 individuals with a disease and 38 healthy comparison individuals. Their deaths are recorded over a period of 16 months.

\begin{array}{c}\underline { \text { Diseased } } \quad \quad \quad \quad \quad \quad \quad \quad\underline { \text { Healthy}}\\\begin{array}{cccc}\text { Time } & \text { \# at risk } & \text { Deaths } & \text { \# at risk } & \text { Deaths } \\2 & 36 & 2 & 38 & 2 \\4 & 33 & 7 & 35 & 4 \\6 & 25 & 5 & 31 & 3 \\8 & 20 & 5 & 27 & 4 \\10 & 15 & 2 & 20 & 2 \\12 & 13 & 3 & 18 & 3 \\14 & 9 & 1 & 14 & 1 \\16 & 8 & 1 & 12 & 2\end{array}\end{array}

a.Calculate the hazard ratio and 95% confidence interval for the hazard ratio.
b.Perform a χ² test on the hazard ratio. Present the χ² value, a range for the P-value it corresponds to, and the interpretation of your test.

Quizplus · Accepted Answer

The Answer of Consider the data table showing epidemiology data for 36 individuals with a disease and 38 healthy comparison individuals. Their deaths are recorded over a period of 16 months. $\begin{array}{c} \underline { \text { Diseased } } \quad \quad \quad \quad \quad \quad \quad \quad\underline { \text { Healthy}}\ \begin{array}{cccc} \text { Time } & \text { \# at risk } & \text { Deaths } & \text { \# at risk } & \text { Deaths } \ 2 & 36 & 2 & 38 & 2 \ 4 & 33 & 7 & 35 & 4 \ 6 & 25 & 5 & 31 & 3 \ 8 & 20 & 5 & 27 & 4 \ 10 & 15 & 2 & 20 & 2 \ 12 & 13 & 3 & 18 & 3 \ 14 & 9 & 1 & 14 & 1 \ 16 & 8 & 1 & 12 & 2 \end{array}\end{array}$ a.Calculate the hazard ratio and 95% confidence interval for the hazard ratio. b.Perform a χ² test on the hazard ratio. Present the χ² value, a range for the P-value it corresponds to, and the interpretation of your test.

Consider the Data Table Showing Epidemiology Data for 36 Individuals