cor_bin {ebdm}R Documentation

Estimate the Joint Distribution of Two Binary Variables from Marginal Summaries

Description

Performs maximum likelihood estimation (MLE) of the joint distribution of two binary variables using only marginal summary data from multiple studies.

Usage

cor_bin(ni, xi, yi, ci_method = c("none", "normal", "lr"))

Arguments

ni

Numeric vector. Sample sizes for each dataset.

xi

Numeric vector. Count of observations where variable 1 equals 1.

yi

Numeric vector. Count of observations where variable 2 equals 1.

ci_method

Character string. Method for confidence interval computation. Options are "none" (default), "normal", or "lr" (likelihood ratio).

Value

A named list with point estimates, variance, standard error, and confidence interval (if requested).

p1_hat

Estimated marginal probability for variable 1.

p2_hat

Estimated marginal probability for variable 2.

p11_hat

Estimated joint probability.

var_hat

Estimated variance of p11_hat.

sd_hat

Standard error of p11_hat.

ci

Confidence interval for p11_hat, if requested.

Examples

data(bin_example)
cor_bin(bin_example$ni, bin_example$xi, bin_example$yi, ci_method = "lr")

[Package ebdm version 1.1.0 Index]