COMMA_boot_sample function

Generate Bootstrap Samples for Estimating Standard Errors

COMMA_boot_sample(
  parameter_estimates,
  sigma_estimate = 1,
  outcome_distribution,
  interaction_indicator,
  x_matrix,
  z_matrix,
  c_matrix
)

Arguments

• parameter_estimates: A column matrix of $\beta$, $\gamma$, and $\theta$ parameter values obtained from a COMMA analysis function. Parameter estimates should be supplied in the following order: 1) $\beta$

  (intercept, slope), 2) $\gamma$ (intercept and slope from the M = 1 mechanism, intercept and slope from the M = 2 mechanism), and 3) $\theta$

  (intercept, slope, coefficient for x, slope coefficient for m, slope coefficient for c, and, optionally, slope coefficient for xm if using).

• sigma_estimate: A numeric value specifying the estimated standard deviation. This value is only required if outcome_distribution

  is "Normal". Default is 1. For non-Normal outcome distributions, the value should be NULL.

• outcome_distribution: A character string specifying the distribution of the outcome variable. Options are "Bernoulli", "Normal", or "Poisson".

• interaction_indicator: A logical value indicating if an interaction between x and m should be used to generate the outcome variable, y.

• x_matrix: A numeric matrix of predictors in the true mediator and outcome mechanisms. x_matrix should not contain an intercept and no values should be NA.

• z_matrix: A numeric matrix of covariates in the observation mechanism. z_matrix should not contain an intercept and no values should be NA.

• c_matrix: A numeric matrix of covariates in the true mediator and outcome mechanisms. c_matrix should not contain an intercept and no values should be NA.

Returns

COMMA_boot_sample returns a list with the bootstrap sample data: - obs_mediator: A vector of observed mediator values.

• true_mediator: A vector of true mediator values.

• outcome: A vector of outcome values.

• x_matrix: A matrix of predictor values in the true mediator mechanism. Identical to that supplied by the user.

• z_matrix: A matrix of predictor values in the observed mediator mechanism. Identical to that supplied by the user.

• c_matrix: A matrix of covariates. Identical to that supplied by the user.