Repetition is copying an investigation, while replication of an investigation is the results of an investigation, which is not likely to be accepted unless the investigation is repeated multiple times and the same result is obtained.
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Repetition is something that is being repeated, for instance.. The same thing happens during each experiment. And replication is having a double of something.
There is no difference if other factors are held constant.
An experiment tests a hypothesis; an investigation mainly collects data.
an experiment tests an hypothesis while an investigation is collecting data