Extensive searching does not turn up a single result for such a person or study. The only result I can find that seems in the right vein is on a different aspect of rat behavior. What turned up more than anything else were quotations of the essay itself.
Apparently there is some doubt as to whether he actually exists.
The study mentioned in your first link is most likely "Preferences and demands of the white rat for food", by Paul Thomas Young. This paper is includes a section tantalisingly named "Spatial factors in the feeding behavior of rats", which turns out not to be related to Feynman's story:
...Eight rats showed marked individual differences in spatial behavior between the extremes of right and left dominance. The tendency of an animal to eat the test-food in a given position, right or left, frequently appears instead of preferential discrimina
The Decline Effect and the Scientific Method (article @ the New Yorker)
First, as a physicist, I do have to point out that this article concerns mainly softer sciences, e.g. psychology, medicine, etc.
A summary of explanations for this effect:
These problems are with the proper usage of the scientific method, not the principle of the method itself. Certainly, it's important to address them. I think the reason they appear so often in the softer sciences is that biological entities are enormously complex, and so higher-level ideas that make large generalizations are more susceptible to random error and statistical anomalies, as well as personal bias, conscious and unconscious.
For those who haven't read it, take a look at Richard Feynman on cargo cult science if you want a good lecture on experimental design.