 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.
<meaning-changed>  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 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 in the sense that those who are not provided an offer may receive one from outside the experiment, and that the data may only provide partial information on the receipt of program access across individuals.