in a general case like this ... where the plaintiff has to show proof of 
discrimination ... the burden is especially difficult

there are some preliminaries of course ...

if the women make more than the males ... then we would agree it would be 
"hard" to argue sex discrimination in terms of salaries ... though i guess 
the women could "try" to argue that the difference is NOT large enough (but 
in any case, the "court" is not going to waste it's time if this cursory 
test is not confirmed ... ie, men have higher salaries than women)

it is like age discrimination ... if someone brings an age discrimination 
case to EEOC ... and the facts show that older people ARE being hired or 
retained ... when this person is being let go ... it will be essentially 
impossible to win an age discrimination case

but, in the current situation, let's say that we have identified 15 
measures that relate to work and work productivity ... 1 to 15 ... and 
let's just assume that for each ... higher values mean better ...

scenario A: on all of these, women have lower mean values than males ... 
AND male salaries are higher ... it will be very hard if not impossible to 
argue (and win)  sex discrimination ...

scenario B: on all of these, women have higher mean values than males ... 
BUT have lower salaries

if 1 to 15 are valued ... it might be rather easy to argue and win a sex 
discrimination case

the overall problem in cases like these will be that it would rarely if 
ever be a situation like scenario B ...

it seems to me that only in certain cases ... would statistical information 
really be that helpful in arguing and persuading on the side of 
discrimination ...

so, ultimately, it will not generally boil down to anything statistical 
but, rather ... some logical and rational conclusion that is made based on 
the facts of the case ... many of which are "behind the scenes" and 
unobservable through any real data source




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