By Alder M.
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Telling the guys from the gals also shows that tall people tend to be heavier than short people, which seems reasonable. Now suppose someone gives us the point P and assures us that it was obtained by making the usual measurements, in the same order, on some person not previously measured. The question is, do we think that the last person, marked by a P, is male or female? There are, of course, better ways of telling, but they involve taking other measurements; it would be indelicate to specify what crosses my mind, and I leave it to the reader to devise something suitable.
Again, we shall return to this in more detail later. html (6 of 6) [12/12/2000 4:04:14 AM] Non-parametric Next: CART et al Up: Statistical Methods Previous: Parametric Non-parametric Suppose we assume that there is some probability density function (pdf for short) for the men and another for the women, but we are unwilling to give a commitment to gaussians or any other family of functions to represent them. About the weakest condition we might apply is that the two pdf's are continuous. We could try to estimate them locally, or at least the likelihood ratio, in a neighbourhood of the new datum.
It would be necessary to start all over again if you wanted to count lumps of gravel or blood cells. It is clear that human beings don't have to learn by being told everything in this way; they can figure out things for themselves. It would be nice if our programs could do the same, if only in a small way. This can in fact be done, by methods which may perhaps mimic, abstractly, the central nervous system, and I shall describe them in later chapters under the heading of Syntactic Pattern Recognition.