This table represents an experiment in which you and I both have headaches.  Explain what the selected part of the table means.

The column Asp Not corresponds to you taking an aspirin and me not taking an aspirin.  

The subscripts 1 and 2 refer to your and my, respectively, outcomes - how our heads feel at the end of two hours.  

In the square brackets we have the treatments - you took an aspirin and I did not.

The numbers indicate the "value" of each of our headaches.

Basic Concepts of Statistical Inference for Causal Effects in Experiments and Observational Studies Donald B. Rubin. P 6

ICS212 Fall 2022

This table represents an experiment in which you and I both have headaches.  Explain what the selected part of the table means.

Basic Concepts of Statistical Inference for Causal Effects in Experiments and Observational Studies Donald B. Rubin. P 6

ICS212 Fall 2022

This table represents an experiment in which you and I both have headaches.  How does the information in the green box indicate that SUTVA is violated?

The treatment effect for you when I take an aspirin is 

= Y1([Asp,Asp]) - Y1([Not,Asp])
= 0 - 75 = -75

But the treatment effect for you when I do not take an aspirin is

= Y1([Asp,Not]) - Y1([Not,Not])
= 50 - 100 = -50

 

The causal effect for you depends in some way on whether I get treatment or control. That violates first part of SUTVA.

Make up a story that might explain this peculiar situation.

Basic Concepts of Statistical Inference for Causal Effects in Experiments and Observational Studies Donald B. Rubin. P 6

ICS212 Fall 2022

This table represents an experiment in which you and I both have headaches.  How does the information in the green box indicate that SUTVA is violated?

Make up a story that might explain this peculiar situation.

Basic Concepts of Statistical Inference for Causal Effects in Experiments and Observational Studies Donald B. Rubin. P 6

ICS212 Fall 2022