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  • Help with statistical testing on visit-level survey weighted variable (numerator) and merged state-level population estimate (denominator)

    I hope this is clear. What I am trying to do is statistically test an outcome between treatment and control groups over a period of 4 years (2 years pre and 2 years post). However, the outcome of interest is a rate, with the numerator as number of survey weighted visits in a given year and the denominator is a merged dataset of state level population in a given year. Perhaps it might help if I display the code used to generate the new outcome variable and a table of the values as a summary of what I am attempting. The challenge I am having is how to test pre/post control/treatment - when I collapse, of course I lose the 200,000 survey observations (and power) by collapsing down to 8 values (treatment/control x4 years). Is there a way to make this statistical comparison without collapsing to maintain the large survey sample and power?

    Variables:
    - Visits_of_Interest: 0 1 Indicator variable to identify a subpopulation of visits in the treatment/control groups during the 4 years
    - Treatment: 0 1 Indicator if the visit occurred in a state that underwent policy change (i.e. treatment)
    - Post_Period: 0 1 Indicator assigned to years (2012 & 2013 = 0) (2014 & 2015 = 1)
    - State_Adult_Population: Population estimates for each state for each year
    - StateWeight: survey weight for state level estimates
    - State_ID: Unique State Identifier

    Code:
    collapse (sum) Visits_of_Interest (mean) Treatment (mean) Post_Period (mean) State_Adult_Population [pw=StateWeight], by(year State_ID)
    collapse (sum) Visits_of_Interest (mean) Post_Period (sum) State_Adult_Population, by(year Treatment)
    gen Visit_per_Pop = .
    replace Visit_per_Pop = Visits_of_Interest/State_Adult_Population


    Table of Collapsed Outcome Data
    Rate of Visits per Population
    2012 2013 2014 2015
    Treatment States 3.17 3.32 3.17 3.86
    Control States 3.36 3.13 3.09 3.24


    regress Visit_per_Pop i.Post_Period i.Treatment i.Treatment##i.Post_Period

    I get output, but is my only option to test at this collapsed level? Can I somehow create the Visit_per_Pop outcome prior to collapsing and maintain the 200,000 survey weighted observations for this state-level intervention?

    Thank you for the help!

    Aaron
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