Nonisomorphic complete sets of orthogonal f-squares and hadamard matrices |
| |
Authors: | S. J. Schwager W. T. Federer B. L. Raktoe |
| |
Affiliation: | 1. Biometrics Unit , Cornell University , Ithaca, NY, 14853;2. Dept. of Economics and Statistics , National University of Singapore , 0511, Singapore |
| |
Abstract: | Five nonisomorphic classes of Hadamard matrices of order 16 were given by Hall (1961). Three of these Hadamard classes have a 4 ×4 row and column structure; they generate three nonisomorphic complete sets of nine orthogonal F(4;2,2)-squares, one of which shows a previously unreported pattern. The remaining two Hadamard classes do not produce complete sets of F-squares, Each of the five Hadamard classes corresponds to a distinct set of single-degree-of-freedom contrasts in an analysis of variance. |
| |
Keywords: | F-square design Hadamard product factorial design ANOVA latin square |
|
|