True False paired Determine if the following statements are

True / False: paired. Determine if the following statements are true or false. If false, explain.

(a) In a paired analysis we first take the difference of each pair of observation, and then we do inference on these differences.

(b) Two data sets of different sizes cannot be analyzed as paired data.

(c) Each observation in one data set has a natural correspondence with exactly one observation from the other data set.

(d) Each observation in one data set is subtracted from the average of the other data sets observations.

Solution

a) true

b) true because operation told in (a) cannot be performed

c) false in general, only true for dependent samples (paired data)

d) false, we never do that!