Answer
A matched-pair design is a special case of a randomized block design. It can be used when the experiment has only two treatment conditions and subjects can be grouped into pairs based on some blocking variable. Then, within each pair, subjects are randomly assigned to different treatments. The subjects paired together could be a husband and wife, twins, or people living in the same locality. One subject of that pair will be receiving one kind of treatment, while the other will be receiving another type of treatment. The before and after experiments also follow this type of design.
Subjects are not paired together in the case of a completely randomized design.
In a completely randomized design, there is a random assignment of individuals to treatments. However, there is no pairing of individuals as in the case of the matched-pair design.
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