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SPSS® 12.0 Command Syntax Reference

SPSS® 12.0 Command Syntax Reference

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928 MATRIX—END MATRIX<br />

A =<br />

111<br />

111<br />

, B =<br />

22<br />

22<br />

, C =<br />

333<br />

333,<br />

and D =<br />

333<br />

333<br />

444 ,<br />

then:<br />

BLOCK( A, B, C, D)<br />

11100000000<br />

11100000000<br />

00022000000<br />

00022000000<br />

00000333000<br />

00000333000<br />

00000333000<br />

00000333000<br />

00000000444<br />

CDFNORM(M) Standard normal cumulative distribution function of elements. Takes<br />

a single argument. Returns a matrix having the same dimensions as the<br />

argument, containing the values of the cumulative normal distribution<br />

function for each of its elements. If an element of the argument is x,<br />

the corresponding element of the result is a number between 0 and 1,<br />

giving the proportion of a normal distribution that is less than x. For<br />

example, CDFNORM({-1.96,0,1.96}) results in, approximately,<br />

{.025,.5,.975}.<br />

CHICDF(M,S) Chi-square cumulative distribution function of elements. Takes two<br />

arguments, a matrix of chi-square values and a scalar giving the<br />

degrees of freedom (which must be positive). Returns a matrix having<br />

the same dimensions as the first argument, containing the values of the<br />

cumulative chi-square distribution function for each of its elements. If<br />

an element of the first argument is x and the second argument is S, the<br />

corresponding element of the result is a number between 0 and 1,<br />

giving the proportion of a chi-square distribution with S degrees of<br />

freedom that is less than x. If x is not positive, the result is 0.<br />

CHOL(M) Cholesky decomposition. Takes a single argument, which must be a<br />

symmetric positive-definite matrix (a square matrix, symmetric about<br />

the main diagonal, with positive eigenvalues). Returns a matrix<br />

having the same dimensions as the argument. If M is a symmetric positive-definite<br />

matrix and B=CHOL(M), then T(B)*B=M, where T is the<br />

transpose function defined below.<br />

=

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