Estimation of t1

Estimation of the total of the first mode of response potential outcomes \(t_1\).

Usage

estim_tot_m1(Yobs, modes, pi, p1, phi = rep(1, length(Yobs)))

Arguments

Yobs

vector of the observed outcomes. (numeric vector of size N the size of the population).

modes

vector of the selected mode of each unit. The first mode of the protocol is defined as "m1", the second as "m2" (character vector or factor of size N).

pi

vector containing the first-order inclusion probabilities (numeric vector of size N).

p1

vector containing the true or estimated selection probabilities of the first mode (numeric vector of size N).

phi

optional vector containing weights for the total. The values must be between 0 and 1 (numeric vector size N).

Value

the estimation of the total \(t_1\), possibly weighted (scalar).

See also

Other total estimators: estim_t0, estim_tot_m2(), estim_tot_phi_y()