In: Statistics and Probability
In a study examining the survival of cancer patients, 100 patients were enrolled at baseline. After one year, 20 patients were known to have died. Assuming no patients were lost to follow-up, what was the probability of surviving one year? (OK to show numerator/denominator)What would be the one-year survival rate in the previous question if ten patients had been lost to follow-up during the first year? Use the life table method.
Solution :
We have 100 cancer patients were enrolled at baseline. After one year, 20 patienst were known to have died. Assuming no patients were lost to follow up.
The probability of dying in one year is 20/100 = 0.2
a] The probability of surviving one year is = 1 - probability of dying in one year
= 1 - 0.2
= 0.8
b] one year survival rate if ten patients had been lost to follow-up during the first year.
here total 100 cancer patients out off that 10 patients were lost to follow-up during first year, So we have remains 90 cancer patients. And out of that 20 patients were known to have died after one year.
Then the one year survival rate is = 1 - 20/90 = 70/90
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