logit_integrand function

Default integrand for the group-level propensity score

Computes the following function: [REMOVE_ME]$\prod_{j=1}^{n} (r h_{j}(b))^{A_j} (1 - r h_{j}(b))^{1 - A_j}f_b(b; \theta_b)prod(r * plogis(X * fixef + b)^A *(1 - r * plogis(X * fixef+ b))^(1 - A)) *dnorm(sd = sqrt(ranef)) [REMOVE_ME_2]$

where $r$ is the randomization scheme. $X$ is the covariate(s) vectors. $fixef$ is the vector of fixed effects. $b$ is the random (group-level) effect. $ranef$ is the random effect variance.

logit_integrand(b, X, A, parameters, allocation = A, randomization = 1)

Arguments

• b: vector argument of values necessary for integrate.
• X: n by length(fixed effects) matrix of covariates.
• A: vector of binary treatments
• parameters: vector of fixed effect (and random effect if applicable). Random effect should be last element in vector.
• allocation: The allocation strategy. Defaults to A so that is essentially ignored if allocation is not set to a value within (0, 1).
• randomization: Randomization probability. Defaults to 1.

Returns

value of the integrand

Description

Computes the following function:

where $r$ is the randomization scheme. $X$ is the covariate(s) vectors. $fixef$ is the vector of fixed effects. $b$ is the random (group-level) effect. $ranef$ is the random effect variance.