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 doesn't fail. We need more data to establish with confidence what the causal paths are, but there are also a priori probabilities in which parsimony factors and favors a direct impact of gender on decisions made by people who are well aware of the gender of the people they are deciding about.
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.
Incorrect. Gender Discrimination is not a variable, it is a label for a causal relationship between the variable of gender and cognitive acts where a person is making a discrimination/distinction between options.
Deciding to pay person X more than Y is inherently and by definition an act of discrimination which is merely "to recognize a distinction". Thus, all variability in pay results from a person discriminating between employees and which deserve what pay. All accounts of the average pay difference between gender and pay must include both gender and the cogntive act of discrimination (unless you assume all employers make pay decisions at complete random).
The gender discrimination model presumes only those variables and a direct relation between them. All non-discrimination models presume 1 to many extra variables that happen to relate to gender and are the real casual influence on how employers discriminate/differentiate between employees and what they will be paid.
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.\
The effect size is the simple bivariate difference in average pay of men and women without any other variables in the model.
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).
What you are actually adding is assumptions to your model. Calling them control variables requires the assumption that they have only on particular possible causal relation to the other variables, namely that they cause the outcome (pay), and are impacted by gender in some way. IOW, that they are mediators that are not themselves impacted by the outcome variable or other variables correlated with the outcome which are in turn caused by main predictor of interests (gender).
It is a common misuse of regression to just toss any variable that might impact the outcome into the model as a "control". Every variable has to be carefully considered for its potential relationships to the other variables that would create shared variance and thus alter the results by entering it into the model.
The question is whether A -> C, and your are considering only the possibility that A -> B -> C, so you want to enter B as a control and when the A -> B relationship gets reduced you infer that B is the real cause of A. That is wrong. IF it is possible (and in this case it is just as possible) that A -> C ->B, then "controlling" for B is does not make sense and your interpretation of the reduction in the relevance of A is wrong. Both causal chains mean the the A and B share much of their variance that relates to C, and yet in the latter situation that shared variance in no way reduces the reality that A is a cause of B.
Pay is not only a major aspect of how employees are treated at their job, but it is correlated with other aspects of workplace treatment, and their is a mountain evidence showing that how people are treated by others will causally impact how much time they spend around those other (hours per week at work), and how long they maintain that relationship (change employers, change fields, leave the workforce, etc.). There is nothing magical about the workplace. IT is just another form of social interaction subject to to all the same factors known to impact human interactions in general.
BTW, gender is just as much a "control" variable on those other predictors as the other ways around, and those other predictors becomes less related to pay when gender is in the model. IT is just as valid (or just as invalid) to interpret the results in terms of how much of the seeming effect of hours and time at job are accounted for by gender.
It is entirely a matter of assumption-based framing.
Here is the false "logic" of your interpretations, and the sole difference in my example is a priori theoretical assumptions. We have a correlation between smoking and lung cancer. We decide to "control" for things related to lung cancer, so we control for medical bills. Low and behold, the relation between smoking and cancer greatly reduces. You come in and say, "Therefore, there is no real difference in cancer rates between smokers and non-smokers, because its attributable to other factors like medical bills.
There is absolutely nothing in the empirical data and the logic of the analysis that is different in that case and ours. The only difference is that in that case we both share the assumption that cancer would impact medical bills, so its stupid to treat it as simply a control variable and not as partly an indirect outcome of smoking caused cancer. your
With pay, you assume that effort and time at a job can only possibly be the cause of pay, whereas I consider the actual relevant evidence that they both casually impact each other, and thus a large portion of their shared variance reflects variance caused by other factors such as gender on pay that then impact effort and time at a job. Thus, it is false to treat all that shared variance as though effort and time at work get to claim causal credit for it.
Unless other patterns of causality can be ruled out a priori as impossible on principle, the reduction in predictiveness of a variable after entering other variables cannot be interpreted as
evidence against the importance or causal impact of that variable on the outcome or as evidence that the other variables are the real cause. It can only be interpreted as evidence that whatever the relationship of the focus variable to the outcome, it also has a shared relationship to the additional variables added. The data is agnostic on what the nature of those relationships are.
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?
Correct. No good evidence, and I've explained why numerous time. Evidence requires that one the theory is more consistent with the data. It isn't. None of the data presented here favors a non-discrimination model over any theoretically plausible discrimination model that has been proposed. The only model made less likely by the data is a model in which gender impacts pay without having any relationship to any of the other variables in the analysis. That is a strawman that ignores the mountain of general psychological evidence that people's perceptions of mistreatment (less pay than deserved) would certainly impact nearly all of the other "control" variables. Such an account is not more presumptive that that a non-gender discrimination model, and only differs in the directions of the causal arrows.
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.
No, you are pointing to your purely faith based assumption that it is unrelated to employer decisions, an assumption made extremely implausible by its contradiction to experimentally demonstrated impacts on interpersonal judgments and preferences of people in general (FYI: employers are people) and specifically job related judgments.
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').
Zeno's paradox. Technically, there are infinite steps between the most direct causal factor and its outcome, so that is a red herring. It is a matter of introducing new variables in the middle that have only highly contextually dependent relations to either gender or pay. You are increasing the mediating factors by at least double or much more for every single "control" variable you presume is a mediator in the relationship.
Each of those require the same or more number of steps as the more direct effect of gender, just to get from gender those variables, then they require at least as many steps again to get from those variables to pay decisions. You see a guy with a bloody fist standing over a guy with a bloody nose. Is is more plausible he punched the guy or that he punched someone else who then fell into that guy? (hint: your theory is the latter).
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.
No. it is to clarify that actual variables. You are muddying by bring issues of morality and politics and "concerns" into it. Ignore at that. Pretend you are being objective and not trying to abuse science to support an political conclusion. Gender discrimination might be politically negative, but it is also just a potential scientific process in which an employers act of differentiating things (pay levels for employees) is impacted by the variable gender of the employees. That is all gender discrimination is on a scientific level, without any moral or political bias. It isn't a concern, just a potential cognitive process.
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.
Wrong yet again. Gender discrimination is not a variable. Where in the regression model is the measured variable gender discrimination? No where. Gender is in the model and discrimination is just a word for the differentiation in pay levels. All models presume that basic cognitive processes of employers give rise to the pay variance, so that isn't a factor in relative parsimony. Gender discrimination is nothing but a label for the model that presumes the variable gender impacts pay discrimination judgments without assuming it is being entirely causally mediated by other variables that are logically relevant to job performance and impact pay discrimination judgments just as much when they vary within as between gender. Gender discrimination is analogous to death-by-cancer, which isn't a variable by label to refer to the variable of having cancer causing the variable of death.
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.
Aarg!!! I am explicating what the theory of gender discrimination is, not what is proven to be true. And you are assuming that employers factor these things in regardless of gender. You actually have very little valid evidence demonstrating the employer is doing that most of the time. IT is just an unquestioned assumption in your implausibly rational model of employer decision making.
The question is when gender varies are employers only considering those non-gender factors and doing so in an identical fashion no matter the gender of the applicant? You do not have evidence that is the case. Part of the problem is that all the data you try to use is incapable of answering that question because the variables of hours, time on job, etc. are only collected after numerous pay decisions have already been made. Thus, you cannot infer that the covariance in those other factors is the cause rather than the effect of pay decisions, or a mixture of both (which is what the most reasonable assumption consistent with more general psychological principles would suggest).
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.
First, wrong again. Gender discrimination is not a mediator because it is not even a variable. It is a label for the relation of gender on pay decisions when not mediated by all the extra assumed factors you claim are responsible for why gender correlates with pay.
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).
Second, you are the only one conflating meanings by injecting unscientific concepts into the discussion. The primary and scientifically relevant meaning to the current objective empirical question is employers discriminating between employees to determine variable pay. The question is what factors impact those discrimination judgments and why is the variable of gender correlated with those judgments. Gender discrimination, absent the emotional/moral evaluations you are trying to make about them, is merely the idea that the correlation is partly the result of gender (a variable that nearly every employer is aware of when making these judgment) impacts those judgments without assuming it is completely mediated by job-relevant factors that impact the judgments the same way no matter the gender of the employees.
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?
It is not empirically relevant to the variable of gender and therefore not to the phenomena to be explained which is how gender related to pay differences. And again, it is equally explicable by the same assumptions underlying the discrimination model as it is by your assumed model. Your dismissal of it for your model is purely ideological and not empirical or based in established psychological theory.
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?
I don't assume it is gender discrimination, I just recognize that it contradicts your assumption that such choices are only causes that precede and impact pay differentials and cannot be effects that result from pay differentials. This is your assumption that your entire interpretation of the OP and the other results require. Without it, nothing meaningful regarding the gender discrimination model can be inferred from the fact that the relationship for gender reduced when employment reductions variables are entered in the model.
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?
Actually, a real causal impact of seniority has little more established than gender's role in determining pay. IT is mostly an unquestioned and untested assumption based on anecdote. Show me the data that seniority causes variance in pay independent of all other variables that seniority is in any way related to (i.e, the same standard you require for evidence of gender impacts).
Also, gender discrimination easily incorporates the relationship between seniority and pay. People that get higher pay relative to their peers have more motive to stick around, and gender is merely one thing that impacts pay and thus seniority.