Tucker's Congruence Coefficient
Calculates Tucker's congruence coefficient (uncentered correlation) between x and y if these are vectors. If x and y are matrices then the congruence between the columns of x and y are computed.
congru(x, y = NULL)
x |
Numeric vector, matrix or data frame. |
y |
NULL (default) or a vector, matrix or data frame with compatible dimensions to |
Tucker's congruence coefficient is defined as
r = \frac{∑_{i=1}^{n}x_{i}y_{i}}{ √{∑_{i=1}^{n}x_{i}^{2}∑_{i=1}^{n}y_{i}^{2}} }
where x_{i} and y_{i} denote the i-th elements of x and y.
Returns a scalar or matrix with congruence coefficient(s).
If x is a vector, you must also enter y.
Nathaniel E. Helwig <helwig@umn.edu>
Tucker, L.R. (1951). A method for synthesis of factor analysis studies (Personnel Research Section Report No. 984). Washington, DC: Department of the Army.
########## EXAMPLE 1 ########## set.seed(1) A <- rnorm(100) B <- rnorm(100) C <- A*5 D <- A*(-0.5) congru(A,B) congru(A,C) congru(A,D) ########## EXAMPLE 2 ########## set.seed(1) A <- cbind(rnorm(20),rnorm(20)) B <- cbind(A[,1]*-0.5,rnorm(20)) congru(A) congru(A,B)
Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.