multibias (version 1.5.3)

adjust_om_sel: Adust for outcome misclassification and selection bias.

Description

adjust_om_sel returns the exposure-outcome odds ratio and confidence interval, adjusted for outcome misclassification and selection bias.

Usage

adjust_om_sel(
  data,
  exposure,
  outcome,
  confounders = NULL,
  y_model_coefs,
  s_model_coefs,
  level = 0.95
)

Value

A list where the first item is the odds ratio estimate of the effect of the exposure on the outcome and the second item is the confidence interval as the vector: (lower bound, upper bound).

Arguments

data

Dataframe for analysis.

exposure

String name of the exposure variable.

outcome

String name of the outcome variable.

confounders

String name(s) of the confounder(s). A maximum of three confounders is allowed.

y_model_coefs

The regression coefficients corresponding to the model: logit(P(Y=1)) = δ₀ + δ₁X + δ₂Y* + δ_2+jC_j, where Y represents the binary true outcome, X is the exposure, Y* is the binary misclassified outcome, C represents the vector of measured confounders (if any), and j corresponds to the number of measured confounders. The number of parameters is therefore 3 + j.

s_model_coefs

The regression coefficients corresponding to the model: logit(P(S=1)) = β₀ + β₁X + β₂Y* + β_2+jC_j, where S represents binary selection, X is the exposure, Y* is the binary misclassified outcome, C represents the vector of measured confounders (if any), and j corresponds to the number of measured confounders. The number of parameters is therefore 3 + j.

level

Value from 0-1 representing the full range of the confidence interval. Default is 0.95.

Details

Values for the regression coefficients can be applied as fixed values or as single draws from a probability distribution (ex: rnorm(1, mean = 2, sd = 1)). The latter has the advantage of allowing the researcher to capture the uncertainty in the bias parameter estimates. To incorporate this uncertainty in the estimate and confidence interval, this function should be run in loop across bootstrap samples of the dataframe for analysis. The estimate and confidence interval would then be obtained from the median and quantiles of the distribution of odds ratio estimates.

Examples

adjust_om_sel(
  df_om_sel,
  exposure = "X",
  outcome = "Ystar",
  confounders = "C1",
  y_model_coefs = c(-3.24, 0.58, 1.59, 0.45),
  s_model_coefs = c(0.03, 0.92, 0.12, 0.05)
)