SPSS® 12.0 Command Syntax Reference

934 MATRIX—END MATRIX
and the number of columns of the matrix. In other words, the pivot
element of the matrix, which is M(S,S), must exist. Returns a matrix
of the same dimensions as M. Suppose that S={k} and
A=SWEEP(M,S). If M(k,k) is not 0, then
Akk ( , ) = 1 ⁄ Mkk ( , )
Aik ( , ) = – Mik ( , ) ⁄ Mkk ( , ) for i notequaltok
Akj ( , ) = Mkj ( , ) ⁄ ( Mkk ( , ) ) for j not equal to k
Aij ( , ) = ( Mkk ( , )*M( i, j)
– Mik ( , )*M( k, j)
) ⁄ Mkk ( , )
for i,j not equal to k
and if M(k,k) equals 0, then
Aik ( , ) = Aki ( , ) = 0 for all i
Aij ( , ) =
Mij ( , ) for i,j not equal to k
TCDF(M,S) Cumulative t distribution function of elements. Takes two arguments,
a matrix of t values and a scalar giving the degrees of freedom (which
must be positive). Returns a matrix having the same dimensions as M,
containing the values of the cumulative t distribution function for each
of its elements. If an element of the first argument is x and the second
argument is S, then the corresponding element of the result is a number
between 0 and 1, giving the proportion of a t distribution with S
degrees of freedom that is less than x.
TRACE(M) Sum of the main diagonal elements. Takes a single argument. Returns
a scalar, which equals the sum of the elements on the main diagonal
of the argument.
TRANSPOS(M) Transpose of the matrix. Takes a single argument. Returns the transpose
of the argument. TRANSPOS can be shortened to T.
TRUNC(M) Truncation of elements to integers. Takes a single argument. Returns a
matrix having the same dimensions as the argument, whose elements
equal the corresponding elements of the argument truncated to integers.
UNIFORM(S1,S2) Uniformly distributed pseudo-random numbers between 0 and 1.
Takes two scalars as arguments. Returns a matrix with the number of
rows specified by the first argument and the number of columns specified
by the second argument, containing pseudo-random numbers
uniformly distributed between 0 and 1.
CALL Statement
Closely related to the matrix functions are the matrix procedures, which are invoked with the
CALL statement. Procedures, similarly to functions, accept arguments enclosed in parentheses
and separated by commas. They return their result in one or more of the arguments as noted
in the individual descriptions below. They are implemented as procedures rather than as functions
so that they can return more than one value or (in the case of SETDIAG) modify a matrix
without making a copy of it.
EIGEN(M,var1,var2) Eigenvectors and eigenvalues of a symmetric matrix. Takes three
arguments: a symmetric matrix and two valid variable names to which