STAT151 Lecture Notes - Lecture 25: Confidence Interval, Probability Plot, Null Hypothesis

• School: University of Alberta
• Department: Statistics
• Course: STAT151
• Professor: Omar Rivasplata

Document Summary

Data are paired when the observaions are collected in pairs or the observaions in one group are naturally related to observaions in the other group. Paired data arise in a number of ways. If you know the data are paired, you can (and must!) take advantage of it o o. To decide if the data are paired, consider how they were collected and what they mean (check the w"s) There is no test to determine whether the data are paired. Once we know the data are paired, we can examine the pairwise diferences o. Because it is the diferences we care about, we treat them as if they were the data and ignore the original two sets of data. Now that we have only one set of data to consider, we can return to the simple one-sample t-test. Mechanically, a paired t-test is just a one-sample t-test for the mean of the pairwise diferences o.