The simple case of a treatment group (D = 1), and a control group (D = 0).
One outcome Y.
Potential outcome after receiving treatment 0: Y0
Potential outcome after receiving treatment 1: Y1
simplified notation.pdf - 1
ICS212 Fall 2022
The simple case of a treatment group (D = 1), and a control group (D = 0).
One outcome Y.
Potential outcome after receiving treatment 0: Y0
Potential outcome after receiving treatment 1: Y1
simplified notation.pdf - 2
What is: E [ Y | D = 1] ?
Is it observable?
ICS212 Fall 2022
The simple case of a treatment group (D = 1), and a control group (D = 0).
One outcome Y.
Potential outcome after receiving treatment 0: Y0
Potential outcome after receiving treatment 1: Y1
simplified notation.pdf - 3
What is: E [ Y1 ] ?
Is it observable?
ICS212 Fall 2022
The simple case of a treatment group (D = 1), and a control group (D = 0).
One outcome Y.
Potential outcome after receiving treatment 0: Y0
Potential outcome after receiving treatment 1: Y1
simplified notation.pdf - 4
What is: E [ Y | D = 0]?
Is it observable?
ICS212 Fall 2022
The simple case of a treatment group (D = 1), and a control group (D = 0).
One outcome Y.
Potential outcome after receiving treatment 0: Y0
Potential outcome after receiving treatment 1: Y1
simplified notation.pdf - 5
What is: E [ Y0 ] ?
Is it observable?
ICS212 Fall 2022
The simple case of a treatment group (D = 1), and a control group (D = 0).
One outcome Y.
Potential outcome after receiving treatment 0: Y0
Potential outcome after receiving treatment 1: Y1
simplified notation.pdf - 6
RECAP:
E [ Y0 ] E [ Y1 ] E [ Y | D = 0] E [ Y | D = 1]
ICS212 Fall 2022
The simple case of a treatment group (D = 1), and a control group (D = 0).
One outcome Y.
Potential outcome after receiving treatment 0: Y0
Potential outcome after receiving treatment 1: Y1
simplified notation.pdf - 7
What is: E [ Y | D = 1] - E [ Y | D = 0] ?
Is it observable?
ICS212 Fall 2022
The simple case of a treatment group (D = 1), and a control group (D = 0).
One outcome Y.
Potential outcome after receiving treatment 0: Y0
Potential outcome after receiving treatment 1: Y1
simplified notation.pdf - 8
What is: E [ Y0 | D = 0]?
Is it observable?
ICS212 Fall 2022
The simple case of a treatment group (D = 1), and a control group (D = 0).
One outcome Y.
Potential outcome after receiving treatment 0: Y0
Potential outcome after receiving treatment 1: Y1
simplified notation.pdf - 9
What is: E [ Y1 | D = 1]?
Is it observable?
ICS212 Fall 2022
The simple case of a treatment group (D = 1), and a control group (D = 0).
One outcome Y.
Potential outcome after receiving treatment 0: Y0
Potential outcome after receiving treatment 1: Y1
simplified notation.pdf - 10
What is: E [ Y0 | D = 1]?
Is it observable?
ICS212 Fall 2022
The simple case of a treatment group (D = 1), and a control group (D = 0).
One outcome Y.
Potential outcome after receiving treatment 0: Y0
Potential outcome after receiving treatment 1: Y1
simplified notation.pdf - 11
What is: E [ Y1 | D = 0]?
Is it observable?
ICS212 Fall 2022
The simple case of a treatment group (D = 1), and a control group (D = 0).
One outcome Y.
Potential outcome after receiving treatment 0: Y0
Potential outcome after receiving treatment 1: Y1
simplified notation.pdf - 12
What is: E [ Y0 | D = 1] - E [ Y0 | D = 0]?
Is it observable?
ICS212 Fall 2022
The simple case of a treatment group (D = 1), and a control group (D = 0). One outcome Y. Potential outcome after receiving treatment 0: Y 0 Potential outcome after receiving treatment 1: Y 1 simplified notation.pdf - 1 ICS212 Fall 2022
Copy of Copy of deck
By Dan Ryan
Copy of Copy of deck
- 131
