Factorial Analysis of Variance

TOMS359 is a FORTRAN77 library which implements ACM TOMS algorithm 359, for the factorial analysis of variance.

The text of many ACM TOMS algorithms is available online through ACM: or NETLIB:


call fnova ( y, z, row, msize, ncls, nfctr )
Y, the observed vector, of length NCLS,
Z, the output interaction vector of length NCLS,
ROW is a workspace vector whose length is (at least) the maximum of the entries in MSIZE,
MSIZE is a vector of size NFCTR, containing the factor sizes;
NCLS is the product of the factors;
NFCTR is the number of factors.


TOMS359 is available in a FORTRAN77 version.


  1. John Howell,
    Algorithm 359: Factorial Analysis of Variance,
    Communications of the ACM,
    Volume 12, Number 11, page 631, November 1969.

Source Code:

Examples and Tests:

List of Routines:

You can go up one level to the FORTRAN77 source codes.

Last revised on 07 January 2006.