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Question 3 [10 marks] The data in Table 3 show tumor responses of male and female patients receiving treatment for small-cell lung cancer. There were two treatment regimes. For the sequential treatment, the same combination of chemotherapeutic agents was administered at each treatment cycle. For the alternating treatment, different combinations were alternated from cycle to cycle (data from Holtbrugger and Schumacher 1991). Table 3: Tumor responses to two different treatments: numbers of patients in each category. Treatment Sex Progressive No Partial Complete disease change remission remission Sequential Male 28 45 29 26 Female 4 12 5 2 Alternating Male 41 44 20 20 Female 12 -1 3 Fit a proportional odds model to estimate the probabilities for each response category taking treatment and sex effects into account