It refers to another report by the London School of Economics that also shows whilst more ethnic minorities apply (per head of their demographic)
less of them get in/get offers. More than 70% of the kids who get offers are white.
BBC News - for minority groups
However, the group with the biggest chance of getting in and the highest chance of applying are those from Chinese background.
The one significant thing that this doesn't address is the "extra things" a kid has to demonstrate to get an offer these days. The qualifications are not enough. It is not a case of Wee Jimmy has 5 Highers, all As and wee Bobby has 5 Highers, all As... so they should both get in. Wee Jimmy might have a Gold DoE Award, does weekly voluntary work, has significant work experience related to their prospective course and plays for the regional rugby team. Wee Bobby might not have done very much other than study. Wee Jimmy will get the offer ahead of wee Bobby. Wee Bobby's access to all the extra things might be limited because of his background and opportunities. Wee Jimmy might have parents who have the capacity to support making the extra things happen.
Personal statements when applying to universities are hugely important. The extra-curricular or related vocational work experience are ultra important. Therefore, the advantaged kid, or the kid from a background where parents are actively engaged in supporting or have the capacity to build "the cv" will come through more often than not.
Even more so the case at the Russell Group unis and for courses such as medicine and vet med. I speak from very recent, very direct experience.
* also this only refers to England where the demographics are hugely different to ours