There are a number of issues involved here wolf63 which are conducive to this sort of thing happening.
First of all, you have to bear in mind that in general, research papers are extremely specific to a certain area of research. The scientists who publish these subsequently discovered claims are not amateurs in their field. They are invariably recognised experts in their area of expertise within their own university. Often, very few of their colleagues will challenge their opinion and in general, their colleagues do not have sight of the material before it turns up in a scientific journal. As far as admin staff are concerned, these are far from being experts in the field under question and are not qualified or recognised to challenge the views of senior university scientists. ; after all, if admin staff were that knowledgeable, they wouldn't be working in admin would they?
I am a Science Dean and hold a professorial chair in Biochemistry at one of the top UK universities. I am also a visiting professor at various ivy-league universities in the US. I also hold professorships in canadian and European universities and have lectured in chemistry, botany, zoology and would you belive it, biochemistry during my career. But enough about me - from experience, I can tell you that when a paper is published involving statistics, you have to have very competent admin staff at your side to spot any errors. This is why in my university department, we have statisticians and other mathematicians employed to review such papers before they reach the scientific journal. I'm afraid that many other universities are not so thorough in requesting peer-reviewing or checking articles before submission.
The normal procedure is for the journals to publish these apparently genuine research articles and then wait for criticism regarding the methodology etc from other acknowledged experts in the field. These criticisms are published as "letters to the editor" during subsequent months. Believe me, I've worked extensively on both sides of the coin during my career.
In general, you can assume that most stuff published from scientists working in any of Russell Group universities in the UK or the ivy-league universities in the US has been peer reviewed, although I'm aware of a number of exceptions to this rule.