qtkit (version 1.1.1)

calc_normalized_entropy: Calculate Normalized Entropy for Categorical Variables

Description

Computes the normalized entropy (uncertainty measure) for categorical variables, providing a standardized measure of dispersion or randomness in the data.

Usage

calc_normalized_entropy(x)

Value

A numeric value between 0 and 1 representing the normalized entropy:

• Values closer to 0 indicate less diversity/uncertainty

• Values closer to 1 indicate more diversity/uncertainty

Arguments

x

A character vector or factor containing categorical data.

Details

The function:

• Handles both character vectors and factors as input

• Treats NA values as a separate category

• Normalizes entropy to range (0,1) where:

  • 0 indicates complete certainty (one category dominates)

  • 1 indicates maximum uncertainty (equal distribution)

The calculation process:

1. Computes category proportions

2. Calculates raw entropy using Shannon's formula

3. Normalizes by dividing by maximum possible entropy

Examples

# Calculate entropy for a simple categorical vector
x <- c("A", "B", "B", "C", "C", "C", "D", "D", "D", "D")
calc_normalized_entropy(x)

# Handle missing values
y <- c("A", "B", NA, "C", "C", NA, "D", "D")
calc_normalized_entropy(y)

# Works with factors too
z <- factor(c("Low", "Med", "Med", "High", "High", "High"))
calc_normalized_entropy(z)