Estimate the town\'s mean household income Please estimate the town\'s household income using the following imputation method

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

PSC 794 Spring 2022 Problem Set 1

Please show your work via code to get complete credit.

Question 1 (1 points)

The following is a mini dataset of 10 people. The variable is whether they voted in the 2018 Mexican general election and the variable is whether they voted in the 2012 Mexican general election. For both variables, 1 means the person voted and 0 means the person did not vote. Unfortunately, there are 3 missing observations for .

 Our goal is to estimate (the proportion of people who voted). Estimate the upper and lower Manski bounds for Estimate assuming missing completely at random Estimate assuming missing at random conditional on using the following imputation methods: post-stratication linear regression (OLS)

Question 2 (3 points)

A researcher collected information about 500 households in a town in New York State. These households were randomly sampled with equal probability from the town. 

A) Estimate the town's mean household income Please estimate the town's household income using the following imputation method: linear regression (OLS) inverse probability weighting (IPW), where you estimate the propensity score using logistic regression

B) Estimate the 95% condence interval of the mean household income using the bootstrap method For each of the imputation methods used, please estimate the 95% condence interval of the mean using the bootstrap method. Make sure you generate at least 500 with-replacement samples.

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