Identifying the Effects of Food Stamps on the Nutritional Health of Children when Program participation is Misreported

Authors: John Pepper, Craig Gundersen, Dean Jolliffe, Brent Kreider

The literature assessing the efficacy of the Supplemental Nutrition Assistance Program (SNAP), formerly known as the Food Stamp Program, has long puzzled over positive associations between SNAP receipt and various undesirable health outcomes such as food insecurity. Assessing the causal impacts of SNAP, however, is hampered by two key identification problems: endogenous selection into participation and extensive systematic underreporting of participation status.Using data from the National Health and Nutrition Examination Survey (NHANES), we extend partial identification bounding methods to account for these two identification problems in a single unifying framework.

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The Impact of the National School Lunch Program on Child Health: A Nonparametric Bounds Analysis

Authors: John Pepper, Craig Gunderson, Brent Kreider

Children in households reporting the receipt of free or reduced-price school meals through the National School Lunch Program (NSLP) are more likely to have negative health outcomes than observationally similar nonparticipants. Assessing causal effects of the program is made difficult, however, by missing counterfactuals and systematic underreporting of program participation. 

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Identification of Expected Outcomes in a Data Error Mixing Model with Multiplicative Mean

Authors: John Pepper, Brent Kreider

We consider the problem of identifying a mean outcome in corrupt sampling where the observed outcome is drawn from a mixture of the distribution of interest and another distribution. Relaxing the contaminated sampling assumption that the outcome is statistically independent of the mixing process, we assess the identifying power of an assumption that the conditional means of the distributions differ by a factor of proportionality. 

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