Question

Which of the following statements is false about paired data analysis?

1) Two data sets of different sizes cannot be analyzed as paired data.
2) In a paired analysis, we first take the difference of each pair of observations, and then we do inference on these differences.
3) In the analysis, each observation in one data set is subtracted from the average of the other data set's observations.
4) Each observation in one data set has a natural correspondence with exactly one observation from the other data set.

Answer 1

Statement 1) Two data sets of different sizes cannot be analyzed as paired data is false. Paired data analysis refers to comparing two data sets that have a one-to-one relationship, regardless of their size.

Step-by-step explanation:

Statement 1) Two data sets of different sizes cannot be analyzed as paired data is false. Paired data analysis refers to comparing two data sets that have a one-to-one relationship, regardless of their size. The other three statements are all true:

1. In a paired analysis, we first take the difference of each pair of observations, and then we do inference on these differences.
2. In the analysis, each observation in one data set is subtracted from the average of the other data set's observations.
3. Each observation in one data set has a natural correspondence with exactly one observation from the other data set.