1. 考虑表 1 中的简单假设示例。该示例涉及
11 名患者，每人都感染了冠状病毒。有两种治疗方法：

1 1 10 29
2 1 5 35
3 1 4 19
4 5 6 45
5 5 1 65
6 6 7 50
7 7 8 77
8 7 10 18
9 8 2 85
10 9 6 96
11 10 7 77

a) 计算每个单元的处理效果。

b) 与卧床相比，呼吸机的平均处理效果 (ATE) 是多少？

c) 假设“完美医生”知道每个患者的潜在结果，并且作为

d) 计算如果治疗将获得的平均结果的简单差异

e) 提供一个示例，说明在治疗 covid-19 时可能会违反 SUTVA 的规定。

Problem Set 1
1. Consider the simple hypothetical example in Table 1. This example involves
eleven patients each of whom is infected with coronavirus. There are two treatments:
ventilators Y 1 and bedrest Y 0. Table 1 displays each patient’s potential outcomes in
terms of years of post-treatment survival under each treatment. Larger outcome values
correspond to better health outcomes. [20 points]

Table 1: Hypothetical Example
Patient Y 1 Y 0 Age
1 1 10 29
2 1 5 35
3 1 4 19
4 5 6 45
5 5 1 65
6 6 7 50
7 7 8 77
8 7 10 18
9 8 2 85
10 9 6 96
11 10 7 77

a) Calculate each unit’s treatment e ect.

b) What is the average treatment e ect (ATE) for ventilators compared to bedrest?
Which type of intervention is more e ective on average?

c) Suppose the \perfect doctor” knows each patient’s potential outcomes and as a
result chooses the best treatment for each patient. If she assigns each patient to
the treatment more bene cial for that patient, which patients will receive ventilators