A total population of 4,185 people are being observed in a five-year study measuring incidence of prostate cancer.

• 38 prostate cancer cases were confirmed at the end of year 1. •

17 additional cases were confirmed and 5 men had withdrawn from the study at the end of year 2. •

52 additional cases were confirmed at the end of year 3. •

19 additional cases were confirmed and 10 men had withdrawn from the study at the end of year 4. •

30 additional cases were confirmed and 5 men had withdrawn from the study at the end of year 5.

What is the incidence rate of prostate cancer in this population, expressed in terms of 1000 person-years?

Respuesta :

Answer:

The incidence rate of prostate cancer in this population, expressed in terms of 1000 person-years is 7.469

Step-by-step explanation:

Consider the provided information.

It is given that 38 prostate cancer cases were confirmed at the end of year 1 and the total population was 4,185.

As we need to find the incidence rate of prostate cancer in this population, expressed in terms of 1000 person-years, thus 4185/1000 = 4.185

Thus, the incident rate is: Number of new case/ population of study in 1000.

[tex]\frac{38}{4.185}=9.080[/tex]

17 additional cases were confirmed and 5 men had withdrawn from the study at the end of year 2. That means total population is 4185-5=4180

Thus, the incident rate is:

[tex]\frac{17}{4.180}=4.067[/tex]

52 additional cases were confirmed at the end of year 3.

Thus, the incident rate is:

[tex]\frac{52}{4.180}=12.44[/tex]

19 additional cases were confirmed and 10 men had withdrawn from the study at the end of year 4.

Thus, the incident rate is:

[tex]\frac{19}{4.170}=4.556[/tex]

30 additional cases were confirmed and 5 men had withdrawn from the study at the end of year 5.

Thus, the incident rate is:

[tex]\frac{30}{4.165}=7.203[/tex]

The average expressed in terms of 1000 person-years

[tex]\frac{9.080+4.067+12.44+4.556+.203}{5}=\frac{37.346}{5}=7.469[/tex]

Hence, the incidence rate of prostate cancer in this population, expressed in terms of 1000 person-years is 7.469

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