Many experiments randomly assign individuals to either a treatment group with access to a program or a control group without such access. I study what we can learn about the average effects of providing access to the program given data from such experiments when individuals do not comply with their assigned status and when the data may only provide partial information on the receipt of program access across individuals.  I propose a new nonparametric multiple treatment selection model that provides a general setup to define a range of parameters evaluating the effects of program access and to exploit the partial information the data may provide on where access was received . I illustrate how a computational procedure can be used to learn about these parameters in this model. Using the developed framework , I analyze the effects of providing access to the Head Start preschool program given data from the Head Start Impact Study. I find that providing access to Head Start can have positive effects on test scores and that these effects can negatively depend on whether access to an alternative preschool was available. In addition , I find that the earning benefits associated with the test score gains can outweigh the net costs for various policies providing access to Head Start .
I develop tools to learn about the average effects of providing an offer to participate in a program given data from an experiment that randomizes offers. I allow for the complication that individuals may not comply with their assigned status in the sense that those who are not provided an offer may receive one from outside the experiment, and that the data may provide only partial information on the receipt of an offer across individuals. To do so, I propose a new nonparametric selection model with unobserved choice sets that provides a conceptual framework to define a range of parameters evaluating the effects of an offer, exploit the partial information available on offer receipt, and also consider an array of identifying assumptions . I illustrate how a computational procedure can be used to sharply learn about the parameters under the various assumptions. Using these tools , I analyze the effects of a policy that provides an offer to participate in the Head Start preschool program given data from the Head Start Impact Study. I find that such a policy affects a large number of children who take up the offer, and that they subsequently have positive effects on test scores . These effects primarily arise from children who do not have any preschool as an outside option. Performing a cost-benefit analysis , I find that the earning benefits associated with the test score gains can outweigh the net costs associated with the take up of the offer .
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Many experiments randomly assign individuals to either a treatment group with access to a program or a control group without such access. I study what we can
I develop tools to
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access to the
an offer to participate in a
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such experiments when individuals do
an experiment that randomizes offers. I allow for the complication that individuals may
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and when
in the sense that those who are not provided an offer may receive one from outside the experiment, and that
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only provide
provide only
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program access
an offer
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To do so,
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multiple treatment selection model
selection model with unobserved choice sets
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general setup
conceptual framework
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program access and to
an offer,
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the data may provide on where access was received
available on offer receipt, and also consider an array of identifying assumptions
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learn about these parameters in this model. Using the developed framework
sharply learn about the parameters under the various assumptions. Using these tools
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providing access to
a policy that provides an offer to participate in
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providing access to Head Start can
such a policy affects a large number of children who take up the offer, and that they subsequently
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and that these effects can negatively depend on whether access to an alternative preschool was available. In addition
. These effects primarily arise from children who do not have any preschool as an outside option. Performing a cost-benefit analysis
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for various policies providing access to Head Start
associated with the take up of the offer