Back Transform Z-Score to Original Scale

This function takes a z-score and transforms it back to its original scale using the specified mean and standard deviation of the original data. Often, standardization has been applied and the original scale values are needed for interpretation.

Usage

back_transform_zscore(z, mean, sd)

Arguments

z

A numeric value or vector of z-scores to be transformed back to the original scale.

mean

The mean of the original dataset from which the z-score was calculated.

sd

The standard deviation of the original dataset from which the z-score was calculated.

Value

Returns a numeric value or vector of the original scale values corresponding to the input z-scores.

Examples

# Given a dataset with mean = 100 and sd = 15
original_value <- back_transform_zscore(z = 1.5, mean = 100, sd = 15)
print(original_value)
#> [1] 122.5

# Multiple z-scores can be transformed at once
z_scores <- c(-1, 0, 1, 2)
original_values <- back_transform_zscore(z = z_scores, mean = 50, sd = 10)
print(original_values)
#> [1] 40 50 60 70