# 29 - In a matched pairs design subjects are matched in...

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In a matched pairs design, subjects are matched in pairs and each treatment is given to one subject in each pair. Another situation calling for matched pairs is before-and-after observations on the same subjects. Matched pairs t procedures: To compare the responses to the two treatments in a matched pairs design, find the difference between the responses within each pair. Then apply the one-sample t procedures to these differences. The parameter µ in a matched pairs t procedure is the mean difference in the responses to the two treatments within matched pairs of subjects in the entire population. We turn matched pairs data into single-sample data by taking differences within each pair. We are making inferences about a single population, the population of all differences within matched pairs. The t confidence interval and test are exactly correct when the distribution of the population is exactly Normal and SRS. No real data are exactly Normal. The usefulness of the t procedures in practice therefore depends on how strongly they are affected by lack of Normality.

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## This note was uploaded on 02/27/2012 for the course STAT 121 taught by Professor Patticolling during the Winter '11 term at BYU.

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29 - In a matched pairs design subjects are matched in...

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