You are interested in the effect of getting access to Medicare – government health insurance for older adults -- on hea

[answerhappygod]

You are interested in the effect of getting access to Medicare
– government health insurance for older adults -- on health
outcomes. Suppose that adults become eligibility for Medicaid at
age 65. The specific health outcome that you are interested is the
probability of death, and you have data on 5 million Americans aged
62-68 in 2020.
a .Write down a regression discontinuity equation that
would allow you to estimate the effect of turning age 65 on the
death rate. Be specific and define your notation.
b.What assumptions need to be true for your approach in
part a to be valid? Be specific to this example. If
companies encourage their employees to retire at age 65, will this
bias your effect? Explain why or why not.
c .Worried about some of the issues described in part
b, a researcher collects additional data in 1960 (before Medicare
was passed) for another sample of 5 million Americans aged 62-68 in
1960.
Explain how she could use this data – combined with her original
2020 sample -- to estimate the causal effect of Medicare
eligibility on health outcomes and avoid the issue in part b. Be
specific, and fully explain your approach. What assumptions need to
be true for your described method to identify a causal effect? What
specific regression equation(s) would you use?
Note that this question is worth a lot of points. Be
specific and detailed in your answer – it should be at least 1-2
paragraphs long. There are multiple possible answers – feel free to
be creative.