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There is no purpose.

ZeeNOObster is wrong. An experimenter would use random assignment/placement is such a case that he/she may not have a large sample and wants to make sure that some attribute is evenly divided into the groups.

example: some sort of study where IQ is of importance. To make sure that participants IQs are evenly distributed among the groups, the researcher would find out the participant's IQs and then randomly assign the top IQs to different groups, then moderate IQs and followed by low IQs. This is a simplistic way of looking at random placement

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