We now use a maximum likelihood test to compare two random samples from exponential distributions.
Question
Clinical records give the survival time in months from diagnosis of 30 sufferers from a certain disease as
9.73 5.56 4.28 4.87 |
1.55 6.20 1.08 7.17 |
28.65 6.10 16.16 9.92 |
2.40 6.19 7.67 1.11 |
4.66 4.35 7.31 3.28 |
13.38 3.08 0.41 4.33 |
2.16 4.49 0.75 |
4.45 10.29 0.90 |
In a clinical trial of a new drug treatment, 21 sufferers had survival times of
22.07 12.47 6.42 |
8.15 0.64 20.04 |
17.49 2.22 3.00 |
28.09 3.94 8.59 |
4.26 32.82 8.32 |
2.12 18.53 |
9.95 4.25 |
3.70 5.82 |
Assuming that survival times are exponentially distributed, perform a likelihood ratio test for whether the death rate is different for those getting the new drug.
(Solved in full version)