rc_greenland: Regression Calibration with Internal Validation Data and One...

Description Usage Arguments Details Value References

Description

Implements an efficient version of regression calibration for main study/internal validation designs with one surrogate, as described by Spiegelman et al. (Stat. Med. 2001). Uses ideas from Greenland (Stat. Med. 1988).

Usage

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rc_greenland(all_data = NULL, main = NULL, internal = NULL, y_var,
  z_var, d_var, c_vars = NULL, b_vars = NULL,
  tdm_family = "gaussian")

Arguments

all_data

Data frame with data for main study and validation study.

main

Data frame with data for the main study.

internal

Data frame with data for internal validation study.

y_var

Character string specifying name of Y variable.

z_var

Character string specifying name of Z variable.

d_var

Character string specifying name of D variable.

c_vars

Character vector specifying names of C variables.

b_vars

Character vector specifying names of variables in true disease model but not in measurement error model.

tdm_family

Character string specifying family of true disease model (see glm).

Details

The true disease model is a GLM:

g[E(Y)] = beta_0 + beta_z Z + beta_c^T C + beta_b^T B

The measurement error model is:

E(Z) = alpha_d D + alpha_c^T C

And the naive disease model is:

g[E(Y)] = beta*_0 + beta*_Z D + beta*_C^T C + beta*_B^T B

The procedure involves obtaining two sets of beta estimates: one by fitting the true disease model with internal validation data, and the other by treating the validation study as external and doing a main study/external validation study correction. The two estimates are weighted by the inveres of their estimated variances.

Value

List containing parameter estimates and variance estimates.

References

Greenland, S. (1988) "Variance estimation for epidemiologic effect estimates under misclassification." Stat. Med. 7: 745-757.

Spiegelman, D., Carroll, R.J., and Kipnis, V. (2001) "Efficient regression calibration for logistic regression in main study/internal validation study designs with an imperfect reference instrument." Stat. Med. 20: 139-160.


vandomed/meuc documentation built on May 12, 2019, 6:17 p.m.