ABSTRACT

The study of relations between variables is fundamental in every branch of

science and, in this respect, Statistics is no exception. A n important distinc-

tion, however, must be made from the outset: while in disciplines like, for

instance, Physics and Engineering these relations generally have an intrinsic

cause-effect meaning, it may not necessarily be so in Statistics. Let us con-

sider an example. When an engineer writes the equation F = kx for an elastic

spring of constant he/she is expressing a well-defined cause-effect linear

relation between the force F applied to the spring and its elongation x (with

respect to its rest position). If, however, we obtain a statistically satisfactory

linear relation between, say, the number of new-born babies in Italy and

the number of New Yorkers who quit smoking over the last 10 years, it

would be rather hard to believe that this linear relationship has some intrin-

sic meaning. If, nonetheless, somebody is willing to assume that a meaning

does exist, he/she must look for it outside the realm of Statistics.