Do My Homework
/
Homework Help Answers
/
Data Science Homework Help
/ Difference in means estimator on Average Treatment Effect

# Difference in means estimator on Average Treatment Effect

**Need help with this question or any other
Data Science assignment help
task?**

Difference in Means Estimand:
"In this question we will explore how the difference in means estimator differs from causal quantities of interest such as the ATT, ATC, and ATE. Assume we have potential outcomes Y1i,Y0i, treatment assignment Di, and observed outcome Yi. Note that the difference in means estimator is what we use on a given observed sample; the difference in means estimand is the expectation of this."

##### Additional Instructions:

Problem Set 2
Question 1. Practice with potential outcomes (18)
a) Consider binary treatment Di ∈ {0, 1} and observed outcome variable Yi. What is the meaning of Y1i
and Y0i? Describe both in words, and choose an example to illustrate. (3)
b) Is Y1i different form “Yi for a unit that actually received the treatment’ ’? Explain the difference using
the example you began in section a. (2)
c) Define the average treatment effect (ATE) and average treatment effect among the treated (ATT) using
potential outcomes notation. Describe in words what each quantity means. (2)
Question 2. Practice with the Difference in Means Estimand (17)
In this question we will explore how the difference in means estimator differs from causal quantities of interest
such as the ATT, ATC, and ATE. Assume we have potential outcomes Y1i, Y0i, treatment assignment Di,
and observed outcome Yi. Note that the difference in means estimator is what we use on a given observed
sample; the difference in means estimand is the expectation of this.
a) Show that the difference in means estimand (the expectation of the difference in means estimator) can
be decomposed into the ATT and a bias term. Derive the decomposition, showing your work – do not
simply state it. Also describe clearly and concisely the meaning of the bias term. (5)
b) Show how the difference in means estimand can be decomposed into the average treatment effect on
the controls (ATC) and a bias term. Again derive the decomposition and describe clearly the meaning
of the bias term. (6)
c) Now show how the difference in mean estimands can be decomposed into the ATE and a bias term.
Again describe the meaning of the bias term. (Hint: you may want to start by showing how the ATE
relates to the ATT and ATC, using the law of iterated expectations). (6)
1

There are no answers to this question.

Login to buy an answer or post yours. You can also vote on other
others

Get Help With a similar task to - Difference in means estimator on Average Treatment Effect

## Related Questions

Similar orders to
Difference in means estimator on Average Treatment Effect

137

2

Tutlance Experts offer help in a wide range of topics. Here are some
of our top services:

- Online writing help
- Online homework help
- Personal statement help
- Essay writing help
- Research paper help
- Term paper help
- Do my homework
- Online assignment help
- Online class help
- Dissertation help
- Thesis help
- Proofreading and editing help
- Lab report writing help
- Case study writing help
- White paper writing help
- Letter writing help
- Resume writing help

Post your project now for free and watch professional experts outbid each other in just a few minutes.