Double Centering of a Matrix

This function performs double centering on a matrix. Double centering is a common preprocessing step in multivariate data analysis, where the matrix is adjusted so that both the row and column means are zero.

Usage

doubleCenter(x)

Arguments

x

A numeric matrix that you want to double center. The matrix should be of size \(p \times n\), where \(p\) is the number of rows and \(n\) is the number of columns.

Value

A numeric matrix of the same dimensions as x, where the rows and columns have been centered so that their means are zero.

Details

The function computes the double-centered matrix by subtracting the row and column means and adjusting for the grand mean. The resulting matrix will have row and column means equal to zero.

Examples

if (FALSE) { # \dontrun{
# Load the example dataset
data(nations)

# Print the nations dataset
print(nations)

# Calculate squared differences
d <- (9 - nations)^2

# Perform double centering on the squared differences matrix
D <- doubleCenter(d)

# Print the double-centered matrix
print(D)
} # }