Unbiased Estimator of the Proportion of Random and Non-random Responses

This function computes the unbiased proportion of *correct* answers after adjusting for the possibility that the respondent may have randomly guessed the correct answer. The function is based on the formula provided by Proposition 1 of Atsusaka and Kim (2024).

Usage

unbiased_correct_prop(mean_c, J)

Arguments

mean_c

This is the raw proportion of the correct answers.

J

The number of items to rank order.

Value

A number between 0-1.

Examples

unbiased_correct_prop(0.7, 3)
#> [1] 0.64