Application Guide

charPoly()
Catalog >
charPoly(squareMatrix,Var) ⇒
polynomial expression
charPoly(squareMatrix,Expr) ⇒
polynomial expression
charPoly(squareMatrix1,Matrix2) ⇒
polynomial expression
Returns the characteristic polynomial of
squareMatrix. The characteristic
polynomial of n×n matrix A, denoted by p
A
(λ), is the polynomial defined by
p
A
(λ) = det(λ•I−A)
where I denotes the n×n identity matrix.
squareMatrix1 and squareMatrix2 must
have the equal dimensions.
χ
2
2way
Catalog >
χ
2
2way obsMatrix
chi22way obsMatrix
Computes a χ
2
test for association on the
two-way table of counts in the observed
matrix obsMatrix. A summary of results is
stored in the stat.results variable. (page
177)
For information on the effect of empty
elements in a matrix, see “Empty (Void)
Elements,” page 236.
Output variable Description
stat.χ
2
Chi square stat: sum (observed - expected)
2
/expected
stat.PVal Smallest level of significance at which the null hypothesis can be rejected
stat.df Degrees of freedom for the chi square statistics
stat.ExpMat Matrix of expected elemental count table, assuming null hypothesis
stat.CompMat Matrix of elemental chi square statistic contributions
Alphabetical Listing 23