Measures Based On Sample Means
In Borgognini Tarli and Repetto (1986) an account of indices based on sample means can be seen. Perhaps, the most widely used is the quotient,
where is the sample mean of one sex (e.g., male) and the corresponding mean of the other. Nonetheless, for instance,
have also been proposed.
Going over the works where these indices are used, one misses any reference to their parametric counterpart. In other words, if we suppose that the quotient of two sample means is considered, no work can be found where, in order to make inferences, the way in which the quotient is used as a point estimate of
is discussed.
By assuming that differences between populations are the objective to analyze, when quotients of sample means are used it is important to point out that the only feature of these populations that seems to be interesting is the mean parameter. However, a population has also variance, as well as a shape which is defined by its distribution function (notice that, in general, this function depends on parameters such as means or variances).
Read more about this topic: Sexual Dimorphism Measures
Famous quotes containing the words measures, based, sample and/or means:
“Away with the cant of “Measures, not men!”Mthe idle supposition that it is the harness and not the horses that draw the chariot along. No, Sir, if the comparison must be made, if the distinction must be taken, men are everything, measures comparatively nothing.”
—George Canning (1770–1827)
“That’s my problem, chaplain: I’m yellow. PFC Bernstein—plumb, fat coward. Hey, can you get a Section 8 for being yellow?”
—James Poe, U.S. screenwriter, and Based On Play. Robert Aldrich. Bernstein (Robert Strauss)
“All that a city will ever allow you is an angle on it—an oblique, indirect sample of what it contains, or what passes through it; a point of view.”
—Peter Conrad (b. 1948)
“So by all means let’s have a television show quick and long, even if the commercial has to be delivered by a man in a white coat with a stethoscope hanging around his neck, selling ergot pills. After all the public is entitled to what it wants, isn’t it? The Romans knew that and even they lasted four hundred years after they started to putrefy.”
—Raymond Chandler (1888–1959)