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
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