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134 Statistical Discussion Forum
References
Moore, L.M. (1988). Singular factorial designs resulting from missing pairs of designs points. J. Statist.
Plann. Inference 19, 325-340.
Subir Ghosh
Department of Statistics University of California Riverside, CA 92521
F20. An enveloping regression procedure
Given N bivariate observations (xi, yi) (i = 1,2, . . . , N) with x1 5 x2 5 x3 5 ... 5 x,,
we consider the following basic enveloping regression procedure. Choose an integer
k where 3 I k I N and run a standard regression program for each of the N-k+ 1 sets
wherer=1,2,..., N- k + 1. This will provide N- k + 1 straight lines and these might
appear to envelope a fairly definite curve. This curve can be regarded as a regression
curve which might often be of value in exploratory data analysis. The optimal choice
of k will certainly not be the same on all occasions, and the interpretation will often
be somewhat subjective.
This proposal could be compared with the use of moving averages.
I.J. Good
F21. Chaotics vs. Chaology
The mathematical theory of chaos has emerged as a fairly new branch of statistics
or physics, and the subject merits a name. The two natural contenders are Chaofogy and Chaotics of which M.V. Berry of the University of Bristol prefers the former
and I prefer the latter. He gives two arguments favoring chaology.
(i) Chaofogy is already a word in that it occurs in the complete Oxford English Dictionary and refers to an old branch of theology.
(ii) The pair (chaos, chaology) is analogous to (cosmos, cosmology) and (thana-
tos, thanatology).
My replies are
(i) A new subject merits a new name.