Create a design with spillovers — spillover

Builds a design with N_groups groups each containing N_i_group individuals. Potential outcomes exhibit spillovers: if any individual in a group receives treatment, the effect is spread equally among members of the group.

Usage

spillover_designer(
  N_groups = 80,
  N_i_group = 3,
  sd_i = 0.2,
  gamma = 2,
  args_to_fix = NULL
)

Arguments

N_groups: An integer. Number of groups.
N_i_group: Number of units in each group. Can be scalar or vector of length N_groups.
sd_i: A nonnegative number. Standard deviation of individual-level shock.
gamma: A number. Parameter that controls whether spillovers within groups substitute or complement each other. See `Details`.
args_to_fix: A character vector. Names of arguments to be args_to_fix in design.

Value

A simple spillover design.

Details

Parameter gamma controls interactions between spillover effects.For gamma=1 for every $1 given to a member of a group, each member receives $1*N_i_group no matter how many others are already treated. For gamma>1 (<1) for every $1 given to a member of a group, each member receives an amount that depends negatively (positively) on the number already treated.

The default estimand is the average difference across subjects between no one treated and only that subject treated.

Author

DeclareDesign Team

Examples

# Generate a simple spillover design using default arguments:
spillover_design <- spillover_designer()