ols_bcm_topic: Multiplicative bias-corrected OLS for topic models...

In MLBC: Bias Correction Methods for Models Using Synthetic Data

Multiplicative bias-corrected OLS for topic models (BCM-Topic)

Description

Bias-corrected multiplicative estimator for topic model regression. This method applies multiplicative bias correction to regressions that include topic proportions as covariates, accounting for estimation uncertainty in the topic model.

Usage

ols_bcm_topic(
  Y,
  Q = NULL,
  W,
  S,
  B,
  k,
  data = parent.frame(),
  intercept = TRUE,
  ...
)

## Default S3 method:
ols_bcm_topic(
  Y,
  Q = NULL,
  W,
  S,
  B,
  k,
  data = parent.frame(),
  intercept = TRUE,
  ...
)

## S3 method for class 'formula'
ols_bcm_topic(
  Y,
  Q = NULL,
  W,
  S,
  B,
  k,
  data = parent.frame(),
  intercept = TRUE,
  ...
)

Arguments

Y	numeric response vector, or a one-sided formula
Q	numeric matrix of additional controls (if Y is numeric)
W	numeric matrix of document-term frequencies
S	numeric matrix of topic loadings
B	numeric matrix of topic-word distributions
k	numeric; bias correction parameter
data	data frame (if Y is a formula)
intercept	logical; if TRUE, includes an intercept term
...	additional arguments

Value

An object of class mlbc_fit and mlbc_bcm_topic with:

• coef: bias-corrected coefficient estimates

• vcov: adjusted variance-covariance matrix

Examples

# Load topic model dataset
data(topic_model_data)

# Extract components
Y <- topic_model_data$estimation_data$ly
Z <- as.matrix(topic_model_data$covars)
theta_full <- as.matrix(topic_model_data$theta_est_full)
beta_full <- as.matrix(topic_model_data$beta_est_full)
lda_data <- as.matrix(topic_model_data$lda_data)

# Apply multiplicative bias correction
kappa <- mean(1.0 / lda_data[, 1]) * sqrt(nrow(lda_data))
S <- matrix(c(1.0, 0.0), nrow = 1)

fit <- ols_bcm_topic(Y, Z, theta_full, S, beta_full, k = kappa)
summary(fit)

MLBC documentation built on Aug. 8, 2025, 7:31 p.m.