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Reproducibility is one component of the precision of a measurement or test method.
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A repeated measures design is where the same participants are used in all measures. For instance, say you wanted to find how different Music Genres effect scores on a spelling test. You would have a participant do a spelling test while listening to one pieces of music. Then you would have them do another test while listening to a different piece of music, and so on.
They are both systems of measurement except that the metric system is simpler and used by the majority of the world.