You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
The Interaction Algorithm and Practical Fourier Analysis
I. J. Good
Journal of the Royal Statistical Society. Series B (Methodological)
Vol. 20, No. 2 (1958), pp. 361-372
Stable URL: http://www.jstor.org/stable/2983896
Page Count: 12
You can always find the topics here!Topics: Fourier transformations, Fourier analysis, Factorial design, Matrices, Analysis of variance, Experiment design, Design analysis, Direct products, Mathematical vectors, Algebra
Were these topics helpful?See something inaccurate? Let us know!
Select the topics that are inaccurate.
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
The interactions in a complete factorial experiment are linear functions of the observations. They can be calculated by means of a stream-lined algorithm, of which the first example was the adding-and-subtracting algorithm of Yates (1937). The relationship between the two methods of calculating the interactions is given a precise and succinct form, which surprisingly does not seem to have been given in the existing literature. The algorithm is logically simplest for the tn experiment. The inverse algorithm is specified and also the method of obtaining the divisors for the analysis of variance. Finally some analogous short cuts in practical Fourier analysis are described.
Journal of the Royal Statistical Society. Series B (Methodological) © 1958 Royal Statistical Society