More importantly, they aren't even able to "account" for any of the gap because accounting for it requires demonstrating particular causality, and all they have done is show overlapping correlations which do not favor a non-discrimination account over a discrimination account.
We both agree that causality must be argued for outside a correlational model. Yet you continue to regard gender discrimination as the better account of the variance without evidencing it. An appeal to "parsimony" fails.
It is the only fact about the relation between gender and pay, namely that their is a relation favoring men. Any causal account for that relationship is not a fact but an inference based on a host of assumptions.
The clearest and most obvious relation between age and pay is that forty year olds in the labour market make more than twenty year olds in the labour market. One would indeed go to a 'host of assumptions' to explain this (seniority in roles, for example).
The most parsimonious explanation for the observed covariance between gender and pay is a causal influence of one on the other and pay cannot cause gender.
Your making my case for me. You do not believe gender causes pay differences; you believe gender discrimination causes pay differences. You already have mediating effects.
And among the countless ways in which they differ is likely to be the different responses they evoke from their employers related to pay.
It's the effect size of that response that we ought to be concerned with, not that it exists.
You don't just have to assume that gender relates to other variables, you must assume that those particular variables it relates to also causally impact pay and are the only reason gender relates to pay.
One can look for a 'gender discrimination of the gaps' all she likes -- but it makes no sense at all to not control for variables known to impact pay (such as industry and hours worked).
That does not mean 'gender discrimination' has been eliminated as a contender to explain the pay gap, as you say, but it could shift the location of intervention (if intervention is desirable).
First, let's be clear that it is the OP and its supporters claiming that all or near all the wage gap is due to something other than discrimination. I am not saying that all of it is due to discrimination, just that there is no good evidence favoring other explanations for any part of the gap, let alone most or near all of it.
No good evidence? Are we on the same planet?
That aside, NO, your analogy is a total fail and a discrimination account for pay is pretty much the direct opposite of what it would be for height. In fact, assuming that their is no pay discrimination is more like assuming that gender is only related to height because women do not try hard enough to be tall.
No, I am pointing out a clear biological difference between men and women that is unrelated to 'discrimination' by employers or anyone else.
A direct effect of genes on height will always be more parsimonious that any other route, including discrimination or any other account involving people's behaviors (such as successful nutrition acquisition).
Gender does not equal genes. There will always be mediating effects (even if they are all 'biological').
In contrast to height variance, pay determinations are not a biological trait but rather inherentl the product of an employer's mental processes in which they distinguish between employees in deciding who gets what level of pay. IOW, by definition, all pay variance is the product of the mental act of discriminating between options.
Thus, all possible models accounting for pay variance share the same presumption that discrimination in the general cognitive sense is happening, and they differ in what factors are assumed to impact those acts of discrimination.
To use the language of 'discrimination' here is to muddy the waters. I am not worth as much to my organisation as the big boss is, so our employers have 'discriminated' based on service value and paid her more. That is not the kind of discrimination anyone ought be concerned with.
Thus, the outcome to be explained is why are employers making discrimination in pay that related to the gender of the employees? Well, the most parsimonious account is the one that simply presumes only the variables in the question itself, gender and discrimination.
No: that is not the most parsimonious because assuming gender discrimination is a mediating variable.
The employer is factoring gender into their process of discriminating between pay levels for various employees.
The employer is doing no such thing. You are assuming facts not in evidence. Factoring in seniority is not factoring in gender. Factoring in sales volumes is not factoring in gender.
In sum, discrimination is the fat more parsimonious explanation for pay differences for the same reasons that it would be a far less parsimonious explanation for height differences.
First, it isn't more parsimonious, as I've already explained. You are proposing a mediating effect of gender discrimination and it's the gender discrimination that causes the pay difference.
Second, if you believe paying a toilet cleaner who works twenty hours a week is 'discriminating' against cleaners who work ten hours a week, you are deliberately conflating the kind of discrimination we ought to be concerned with (paying someone less merely because of their gender) and the kind of discrimination we ought not be concerned with (paying someone less because they produced less work).
Any other account presumes that the biolgical manifestations of gender impact some host of other variables that are directly relevant to job performance (without this latter part, it would still be gender discrimination) , and then those variables causally impact how employers discriminate pay levels. IOW, all alternative accounts are between twice as and many times more complex depending on the number of other variables requires to fully account for the gender - pay covariance (and yes, they must fully account for it (not just via shared variance but established causality), or any leftover variance represents evidence of discrimination).
You are obsessed with parsimony in a complex world.
Think of it this way: in a world without gender, there would still be individual pay differences. Surgeons would still get more than toilet cleaners. In any such world, you'd need the exact same 'complex' model you bristle at to explain pay differences between individuals.
And yet it is just as theoretically plausible as your alternative and at least as parsimonious that your account. Also, that is not data directly relevant to the gender pay gap.
Of course it is relevant. How could you imagine something that directly affects labour market attachment as irrelevant?
For example, relevant data would be why do gender pay gaps at time 1 predict the amount of child care related employment reduction for both parents at time 2? The timing rules out the possibility that these employment reductions are the cause of the pay difference, and support the reverse causality that pay differences impact employment reduction choices.
You are simply pushing back the locus of explanation. Why assume the gender pay gap at time 1 is due to discrimination?
IT is no more a "just-so" explanation than all the non-discrimination accounts. In fact, there is massive evidence, including from controlled experiments) that female attractiveness causally impacts job-related treatment by others including compensation, and that perceived attractiveness declines from 18 to average childbearing years.
This is more of an empirical fact than any a data you have or could offer to support your non-gender account. Incorporating established facts is not adding assumptions but increasing coherence with other knowns.
Is it not an established fact that seniority in a role is related to pay?
That is a completely different account, not a slight modification. We could just as easily make up the idea that if women with young kids earned more, someone might say that it because their employer sees them as even more hard working and committed to their job given they still show up with all those extra burdens, or if they take more time off, that employers think more highly of them for having priorities and being good parents (in fact, the coach for the Arizona Cardinals told all his employees he would fire them if they put their job before spending time with their kids, watching their games, plays, etc..)
I can just as easily take all of your preferred alternative variables and make up a story that would account for the opposite result. Being able to do so has no rational bearing on anything.
Except you couldn't do that. "Gender discrimination" is no more an explanation than anything else until you explain and argue for the causal mechanisms outside a correlational model.