# Quick design

You can also write a design maker function that declares a design based on a set of parameters like N, the number of clusters, etc. and use the function quick_design() to make designs using just those parameters.

m_arm_trial <- function(numb){
my_population <- declare_population(
N = numb, income = rnorm(N), age = sample(18:95, N, replace = T))

my_potential_outcomes <- declare_potential_outcomes(
formula = Y ~ .25 * Z + .01 * age * Z)
my_sampling <- declare_sampling(n = 250)
my_assignment <- declare_assignment(m = 25)
my_estimand <- declare_estimand(ATE = mean(Y_Z_1 - Y_Z_0))
my_estimator_dim <- declare_estimator(Y ~ Z, estimand = my_estimand)
my_design <- declare_design(my_population,
my_potential_outcomes,
my_estimand,
my_sampling,
my_assignment,
reveal_outcomes,
my_estimator_dim)
return(my_design)
}

my_1000_design <- quick_design(template = m_arm_trial, numb = 1000)
head(draw_data(my_1000_design))
ID income age Y_Z_0 Y_Z_1 S_inclusion_prob Z Z_cond_prob Y
7 0007 -0.96 51 0 0.76 0.25 0 0.9 0
10 0010 1.51 40 0 0.65 0.25 0 0.9 0
11 0011 2.35 75 0 1.00 0.25 0 0.9 0
20 0020 -0.28 21 0 0.46 0.25 0 0.9 0
23 0023 -0.02 55 0 0.80 0.25 0 0.9 0
27 0027 0.27 51 0 0.76 0.25 0 0.9 0

# Continuous potential outcomes

my_potential_outcomes_continuous <- declare_potential_outcomes(
formula = Y ~ .25 * Z + .01 * age * Z, condition_names = seq(0, 1, by = .1))

continuous_treatment_function <- function(data){
data\$Z <- sample(seq(0, 1, by = .1), size = nrow(data), replace = TRUE)
data
}

my_assignment_continuous <- declare_assignment(assignment_function = continuous_treatment_function)

my_design <- declare_design(my_population(),
my_potential_outcomes_continuous,
my_assignment_continuous,
reveal_outcomes)

head(draw_data(my_design))
ID income age Y_Z_0 Y_Z_0.1 Y_Z_0.2 Y_Z_0.3 Y_Z_0.4 Y_Z_0.5 Y_Z_0.6 Y_Z_0.7 Y_Z_0.8 Y_Z_0.9 Y_Z_1 Z Y
0001 0.30 35 0 0.06 0.12 0.18 0.24 0.30 0.36 0.42 0.48 0.54 0.60 0.8 0.48
0002 0.37 73 0 0.10 0.20 0.29 0.39 0.49 0.59 0.69 0.78 0.88 0.98 0.3 0.29
0003 1.85 36 0 0.06 0.12 0.18 0.24 0.30 0.37 0.43 0.49 0.55 0.61 0.3 0.18
0004 -0.50 26 0 0.05 0.10 0.15 0.20 0.26 0.31 0.36 0.41 0.46 0.51 0.0 0.00
0005 0.06 19 0 0.04 0.09 0.13 0.18 0.22 0.26 0.31 0.35 0.40 0.44 0.5 0.22
0006 -0.06 50 0 0.08 0.15 0.23 0.30 0.38 0.45 0.52 0.60 0.68 0.75 0.5 0.38

# Attrition

Attrition can be thought of as just another potential outcome. That is, one describe possible attrition processes, include them in the design, and see how estimation strategies are affected by these processes. Here is an example.

my_potential_outcomes_attrition <- declare_potential_outcomes(
formula = R ~ rbinom(n = N, size = 1, prob = pnorm(Y_Z_0)))

my_design <- declare_design(my_population(),
my_potential_outcomes,
my_potential_outcomes_attrition,
my_assignment,
reveal_outcomes(outcome_variable_name = "R"),
reveal_outcomes(attrition_variable_name = "R"))

head(draw_data(my_design)[, c("ID", "Y_Z_0", "Y_Z_1", "R_Z_0", "R_Z_1", "Z", "R", "Y")])
ID Y_Z_0 Y_Z_1 R_Z_0 R_Z_1 Z R Y
0001 0 0.85 1 0 0 1 0
0002 0 1.13 1 1 0 1 0
0003 0 1.04 0 1 0 0 NA
0004 0 0.90 1 1 0 1 0
0005 0 1.14 1 1 0 1 0
0006 0 0.73 0 0 0 0 NA

# Stochastic population sizes

The population (or any level of the population) can have stochastic population sizes. (In fact, N can be a number, a fixed vector of numbers, or an expression that returns a stochastic number or vector of numbers.)

stochastic_population <- declare_population(
N = sample(500:1000, 1), income = rnorm(N), age = sample(18:95, N, replace = TRUE))

c(nrow(stochastic_population()),
nrow(stochastic_population()),
nrow(stochastic_population()))

768, 815, 950